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Spurious correlation #1,758 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air pollution in Juneau, Alaska and the second variable is Petroluem consumption in Eritrea.  The chart goes from 1994 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air pollution in Juneau, Alaska increased, it created a unique atmospheric pattern that spelled out the word "Eritrea" in giant smog letters. This unexpected form of advertising led to a surge in demand for electric cars in Eritrea, ultimately reducing the need for petroleum. It was a classic case of Alaskan air creating an Eritrean affair with eco-friendly transportation - talk about a truly "polluted" marketing strategy!

Model: dalle-3
Prompt: [ Concept art ] Create a dystopian landscape where the smog-filled cityscape of Juneau, Alaska is juxtaposed with a remote petrol station in Eritrea, depicting the merging of hazy pollution from both locations. The scene should convey the stark contrast between the urban and rural settings, with a focus on the impact of petroleum consumption on the atmosphere. The composition should be visually striking, using dramatic lighting and atmospheric effects to emphasize the environmental narrative. The depiction should include only scenes, people, and objects, it should not include text or speech bubbles.
This image generation prompt was also generated by AI, using the following sequence:

Model: gpt-3.5-turbo-1106
System prompt: You select one of a few potential scene descriptors that seems to go along with the variables described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here are two variables: Less than ideal air quality in Juneau, Alaska and Petroluem consumption in Eritrea. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: Cybernetic art Psychedelic Concept art Futuristic Whimsical illustration
ChatGPT: Concept art

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Less than ideal air quality in Juneau, Alaska and Petroluem consumption in Eritrea together. Keep the description simple.
ChatGPT: In Juneau, Alaska, smog hangs over the city as cars and trucks line up at a petrol station in Eritrea. The haze from petroleum consumption in Eritrea drifts across the oceans and merges with the less than ideal air quality in Juneau, Alaska.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ Concept art ] and depicting this scene: In Juneau, Alaska, smog hangs over the city as cars and trucks line up at a petrol station in Eritrea. The haze from petroleum consumption in Eritrea drifts across the oceans and merges with the less than ideal air quality in Juneau, Alaska. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [ Concept art ] Create a dystopian landscape where the smog-filled cityscape of Juneau, Alaska is juxtaposed with a remote petrol station in Eritrea, depicting the merging of hazy pollution from both locations. The scene should convey the stark contrast between the urban and rural settings, with a focus on the impact of petroleum consumption on the atmosphere. The composition should be visually striking, using dramatic lighting and atmospheric effects to emphasize the environmental narrative.

*Variations in the User Prompts from chart to chart are just the result of random number generation in Python. I wrote a few arrays of various styles and methods to ask questions to change up the results. Every time this site writes an explanation or generates an image, the script picks from each at random.

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how increases in Air pollution in Juneau, Alaska negatively influenced Petroluem consumption in Eritrea. Include one good pun.

AI academic paper

(Because p < 0.01)
Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea

The Journal of Environmental Quirks and Quandaries

Jan 2024

Reminder: This paper is AI-generated. Not real!
Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.




Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Air pollution in Juneau, Alaska and Petroluem consumption in Eritrea. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title punny if you can come up with clever pun. If not, make it sound serious.

Your research team used data from Environmental Protection Agency and Energy Information Administration to assess this nagging question. You found a correlation coefficient of -0.7698076 and p < 0.01 for 1994 to 2021.

Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
"Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea"

[[ABSTRACT]]
In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.

It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.

As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between Air pollution in Juneau, Alaska and Petroluem consumption in Eritrea. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
"Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea"

[[ABSTRACT]]
In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.

It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.

As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Global environmental issues have become an increasingly pressing concern in recent years, with air pollution and petroleum consumption playing pivotal roles in shaping the current landscape of ecological challenges. As we inhale the fragrance of scientific discovery, we explore the intriguing relationship between these two factors in seemingly distant locales: Juneau, Alaska, and Eritrea. This study aims to shed light on the unexpected connection between air pollution and petroleum consumption, revealing an intercontinental narrative that is more than just a breath of fresh air.

It's time to clear the air and delve into the murky depths of this peculiar correlation. Just like an air filter on a smoggy day, we are here to sift through the data and uncover the hidden patterns at play. While the initial premise of examining the connection between air pollution in Juneau and petroleum consumption in Eritrea may seem as unlikely as a polar bear in the desert, our findings promise to reveal a tale as twisted as a corkscrew in a windstorm.

As we embark on this scholarly expedition, it's worth taking a moment to appreciate the inherent irony of the situation. After all, who would have thought that the air in Juneau and the petroleum in Eritrea would find themselves entangled in a relationship as enigmatic as a long-lost rom-com plot? It appears that this research is not your average "air-ritrea" of study, but rather an opportunity to make sense of the winds of change sweeping across the global environmental stage.

So, buckle up and prepare for a journey that's as whirlwind as a gust of wind, as we uncover the unexpected ties that bind air pollution in Juneau and petroleum consumption in Eritrea. Let's take a deep breath – pun intended – and dive into the heart of this atmospheric mystery.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between Air pollution in Juneau, Alaska and Petroluem consumption in Eritrea. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Speak in the present tense for this section (the authors find...), as is common in academic research paper literature reviews. Name the sources in a format similar to this: In "Book," the authors find lorem and ipsum.

Make up the lorem and ipsum part, but make it sound related to the topic at hand.

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading the backs of shampoo bottles.

Here is the title and abstract of the paper:
[[TITLE]]
"Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea"

[[ABSTRACT]]
In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.

It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.

As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Global environmental issues have become an increasingly pressing concern in recent years, with air pollution and petroleum consumption playing pivotal roles in shaping the current landscape of ecological challenges. As we inhale the fragrance of scientific discovery, we explore the intriguing relationship between these two factors in seemingly distant locales: Juneau, Alaska, and Eritrea. This study aims to shed light on the unexpected connection between air pollution and petroleum consumption, revealing an intercontinental narrative that is more than just a breath of fresh air.
It's time to clear the air and delve into the murky depths of this peculiar correlation. Just like an air filter on a smoggy day, we are here to sift through the data and uncover the hidden patterns at play. While the initial premise of examining the connection between air pollution in Juneau and petroleum consumption in Eritrea may seem as unlikely as a polar bear in the desert, our findings promise to reveal a tale as twisted as a corkscrew in a windstorm.
As we embark on this scholarly expedition, it's worth taking a moment to appreciate the inherent irony of the situation. After all, who would have thought that the air in Juneau and the petroleum in Eritrea would find themselves entangled in a relationship as enigmatic as a long-lost rom-com plot? It appears that this research is not your average "air-ritrea" of study, but rather an opportunity to make sense of the winds of change sweeping across the global environmental stage.
So, buckle up and prepare for a journey that's as whirlwind as a gust of wind, as we uncover the unexpected ties that bind air pollution in Juneau and petroleum consumption in Eritrea. Let's take a deep breath – pun intended – and dive into the heart of this atmospheric mystery.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "The Link Between Air Quality and Petroleum Consumption," Smith et al. (2015) provide a comprehensive analysis of the intricate relationship between air pollution and petroleum usage, shedding light on the multifaceted dynamics at play. Their findings underscore the interconnected nature of these phenomena and lay the groundwork for further exploration.

Dad Joke Alert: Why did the petroleum formation go to therapy? It had too many issues to sort through.

Doe and Jones (2018) delve into the global implications of air pollution in "Breathless: A Comprehensive Study on Air Quality," offering a panoramic view of the interconnectedness of atmospheric conditions across continents. Their exploration of transboundary pollution highlights the far-reaching effects of local emissions on a global scale.

Speaking of global implications, it seems the relationship between air pollution and petroleum consumption spans far and wide, much like a world traveler with an affinity for carbon footprints.

Turning our attention to non-fiction literature, "This Changes Everything: Capitalism vs. The Climate" by Naomi Klein and "The Sixth Extinction: An Unnatural History" by Elizabeth Kolbert provide valuable insights into the broader environmental landscape, prompting reflection on the systemic forces shaping our ecological equilibrium.

Dad Joke Alert: I asked the librarian if they had any books on environmental sustainability. They said they'd have to check the "shelf" life.

On a lighter note, fictional works such as Jules Verne's "Journey to the Center of the Earth" and Michael Crichton's "State of Fear" offer imaginative interpretations of environmental phenomena, weaving tales of adventure and intrigue amidst the backdrop of natural forces.

But wait, there's more! In our quest for comprehensive understanding, we ventured into unexplored territories of literature, including the backs of shampoo bottles – a surprisingly untapped well of wisdom on air-related puns, conditioning the mind for a lather of knowledge.

As we navigate the scholarly seas, it's paramount to embrace a sense of humor to keep our spirits buoyant and our minds fresh, much like a breath of mountain air in Juneau. With this eclectic mix of literary influences, our exploration of the relationship between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea takes flight, transcending the bounds of conventional inquiry into uncharted realms of academic whimsy.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between Air pollution in Juneau, Alaska and Petroluem consumption in Eritrea. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Energy Information Administration . You used data from 1994 to 2021

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
"Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea"

[[ABSTRACT]]
In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.

It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.

As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.

[[INTRODUCTION]]
Global environmental issues have become an increasingly pressing concern in recent years, with air pollution and petroleum consumption playing pivotal roles in shaping the current landscape of ecological challenges. As we inhale the fragrance of scientific discovery, we explore the intriguing relationship between these two factors in seemingly distant locales: Juneau, Alaska, and Eritrea. This study aims to shed light on the unexpected connection between air pollution and petroleum consumption, revealing an intercontinental narrative that is more than just a breath of fresh air.
It's time to clear the air and delve into the murky depths of this peculiar correlation. Just like an air filter on a smoggy day, we are here to sift through the data and uncover the hidden patterns at play. While the initial premise of examining the connection between air pollution in Juneau and petroleum consumption in Eritrea may seem as unlikely as a polar bear in the desert, our findings promise to reveal a tale as twisted as a corkscrew in a windstorm.
As we embark on this scholarly expedition, it's worth taking a moment to appreciate the inherent irony of the situation. After all, who would have thought that the air in Juneau and the petroleum in Eritrea would find themselves entangled in a relationship as enigmatic as a long-lost rom-com plot? It appears that this research is not your average "air-ritrea" of study, but rather an opportunity to make sense of the winds of change sweeping across the global environmental stage.
So, buckle up and prepare for a journey that's as whirlwind as a gust of wind, as we uncover the unexpected ties that bind air pollution in Juneau and petroleum consumption in Eritrea. Let's take a deep breath – pun intended – and dive into the heart of this atmospheric mystery.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]
To unravel the intricate dance between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea, our research team embarked on a methodological adventure akin to navigating through an Escher-esque maze. We gathered data from the Environmental Protection Agency and the Energy Information Administration, utilizing information spanning the years 1994 to 2021. Our approach involved a blend of quantitative analysis, statistical modeling, and the occasional bout of interpretative dance – because who doesn't love a good statistical waltz?

The first step in our methodological tango involved meticulously scrutinizing air pollution data for Juneau, Alaska. We delved into the depths of pollutant levels, atmospheric conditions, and meteorological patterns with the tenacity of a bloodhound sniffing out a mystery. Combining this with petroleum consumption statistics from Eritrea, we crafted a narrative as complex as a Shakespearean tragedy, albeit with fewer soliloquies and more scatter plots.

Next, we employed the magical art of statistical analysis, which, much like a wizard wielding a magic wand, allowed us to conjure meaningful insights from the sea of data before us. We calculated correlation coefficients, p-values, and confidence intervals with the precision of a master potion brewer, stirring the cauldron of data until the results bubbled to the surface. As we delved into the numerical realm, it became clear that our journey was not just an exploration of statistics, but a quest to decipher the language of the interconnected world.

In a rather unconventional twist, we also utilized a method we affectionately named the "Six Degrees of Separation" approach, where we traced potential pathways through which air pollution in Juneau and petroleum consumption in Eritrea could interact across continents. This involved speculative discussions that frequently veered off into amusing anecdotes about the adventures of airborne pollutants and the perils they faced while crossing oceans. Much like a detective unraveling a complex web of intrigue, we attempted to identify the invisible threads linking these seemingly disparate elements.

Finally, we conducted sensitivity analyses to test the robustness of our findings, ensuring that our conclusions stood as steadfast as a lighthouse in the midst of swirling statistical seas. While the process resembled a delicate balancing act on a statistical tightrope, we maintained the utmost diligence in critically evaluating the stability of our results.

In summary, our methodology combined rigorous statistical analyses with a dash of whimsy and a sprinkle of imagination, all aimed at peeling back the layers of this unexpected relationship. After all, when delving into the realms of global environmental interplay, a touch of creativity may very well be the catalyst for unearthing unexpected and profound connections.

And remember, when in doubt, turn to statistics – they have a way of making even the most convoluted relationships seem "correlationally" clear!


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between Air pollution in Juneau, Alaska and Petroluem consumption in Eritrea. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Energy Information Administration .

For the time period 1994 to 2021, you found a correlation -0.7698076, r-squared of 0.5926037, and p < 0.01.

One figure will be included. The figure (Fig. 1) is a scatterplot showing the strong correlation between the two variables. You don't need to specify where; I will add the figure.

Here is the title and abstract of the paper:
[[TITLE]]
"Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea"

[[ABSTRACT]]
In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.

It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.

As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Global environmental issues have become an increasingly pressing concern in recent years, with air pollution and petroleum consumption playing pivotal roles in shaping the current landscape of ecological challenges. As we inhale the fragrance of scientific discovery, we explore the intriguing relationship between these two factors in seemingly distant locales: Juneau, Alaska, and Eritrea. This study aims to shed light on the unexpected connection between air pollution and petroleum consumption, revealing an intercontinental narrative that is more than just a breath of fresh air.
It's time to clear the air and delve into the murky depths of this peculiar correlation. Just like an air filter on a smoggy day, we are here to sift through the data and uncover the hidden patterns at play. While the initial premise of examining the connection between air pollution in Juneau and petroleum consumption in Eritrea may seem as unlikely as a polar bear in the desert, our findings promise to reveal a tale as twisted as a corkscrew in a windstorm.
As we embark on this scholarly expedition, it's worth taking a moment to appreciate the inherent irony of the situation. After all, who would have thought that the air in Juneau and the petroleum in Eritrea would find themselves entangled in a relationship as enigmatic as a long-lost rom-com plot? It appears that this research is not your average "air-ritrea" of study, but rather an opportunity to make sense of the winds of change sweeping across the global environmental stage.
So, buckle up and prepare for a journey that's as whirlwind as a gust of wind, as we uncover the unexpected ties that bind air pollution in Juneau and petroleum consumption in Eritrea. Let's take a deep breath – pun intended – and dive into the heart of this atmospheric mystery.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the data spanning the period from 1994 to 2021 revealed a robust correlation coefficient of -0.7698076 between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea, indicating a strong negative relationship. The coefficient of determination (r-squared) was calculated at 0.5926037, emphasizing that approximately 59% of the variance in air pollution in Juneau can be explained by fluctuations in petroleum consumption in Eritrea. Furthermore, the statistical significance of this relationship was confirmed with a p-value of less than 0.01, reinforcing the substantial nature of the observed association.

Observing such a substantial negative correlation between air pollution and petroleum consumption begs the question: is it a case of "Eritrea" of relief or "Juneau" all along? I suppose the air just couldn't bear the fumes of uncertainty any longer!

The findings are graphically depicted in Figure 1, a scatterplot illustrating the pronounced negative relationship between the two variables. The figure serves as a visual testament to the strong connection uncovered in our analysis. It's quite the sight for sore eyes, if I do say so myself!

This striking correlation not only underscores the unexpected intertwining of environmental factors across distant regions but also invites consideration of the complex mechanisms through which global environmental phenomena are interconnected. It's like a global game of environmental dominoes – one change somewhere can set off a chain reaction in a completely different corner of the world.

The negative association between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea raises intriguing questions about the intricate pathways through which environmental impacts can transcend geographical boundaries. It's almost as if the air currents have been weaving a tale too fascinating to ignore, reminding us that the world of environmental research is filled with unexpected connections and pun-tential discoveries.

Intriguingly, the negative correlation observed in our study suggests that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences notable shifts. It's as if the winds of change are blowing more than just leaves in the fall!

In summary, our findings not only shed light on the distinctive bond between air pollution and petroleum consumption but also emphasize the global interconnectedness of environmental dynamics. Indeed, the air we breathe may carry more than just oxygen – it could be bustling with a multitude of connections waiting to be unraveled.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between Air pollution in Juneau, Alaska and Petroluem consumption in Eritrea. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Limit your response to 500 tokens.

Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.

Do not write a conclusion. I will add a conclusion after this.

[[TITLE]]
"Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea"

[[ABSTRACT]]
In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.

It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.

As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.

[[LITERATURE REVIEW]]
In "The Link Between Air Quality and Petroleum Consumption," Smith et al. (2015) provide a comprehensive analysis of the intricate relationship between air pollution and petroleum usage, shedding light on the multifaceted dynamics at play. Their findings underscore the interconnected nature of these phenomena and lay the groundwork for further exploration.
Dad Joke Alert: Why did the petroleum formation go to therapy? It had too many issues to sort through.
Doe and Jones (2018) delve into the global implications of air pollution in "Breathless: A Comprehensive Study on Air Quality," offering a panoramic view of the interconnectedness of atmospheric conditions across continents. Their exploration of transboundary pollution highlights the far-reaching effects of local emissions on a global scale.
Speaking of global implications, it seems the relationship between air pollution and petroleum consumption spans far and wide, much like a world traveler with an affinity for carbon footprints.
Turning our attention to non-fiction literature, "This Changes Everything: Capitalism vs. The Climate" by Naomi Klein and "The Sixth Extinction: An Unnatural History" by Elizabeth Kolbert provide valuable insights into the broader environmental landscape, prompting reflection on the systemic forces shaping our ecological equilibrium.
Dad Joke Alert: I asked the librarian if they had any books on environmental sustainability. They said they'd have to check the "shelf" life.
On a lighter note, fictional works such as Jules Verne's "Journey to the Center of the Earth" and Michael Crichton's "State of Fear" offer imaginative interpretations of environmental phenomena, weaving tales of adventure and intrigue amidst the backdrop of natural forces.
But wait, there's more! In our quest for comprehensive understanding, we ventured into unexplored territories of literature, including the backs of shampoo bottles – a surprisingly untapped well of wisdom on air-related puns, conditioning the mind for a lather of knowledge.
As we navigate the scholarly seas, it's paramount to embrace a sense of humor to keep our spirits buoyant and our minds fresh, much like a breath of mountain air in Juneau. With this eclectic mix of literary influences, our exploration of the relationship between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea takes flight, transcending the bounds of conventional inquiry into uncharted realms of academic whimsy.

[[RESULTS]]
The analysis of the data spanning the period from 1994 to 2021 revealed a robust correlation coefficient of -0.7698076 between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea, indicating a strong negative relationship. The coefficient of determination (r-squared) was calculated at 0.5926037, emphasizing that approximately 59% of the variance in air pollution in Juneau can be explained by fluctuations in petroleum consumption in Eritrea. Furthermore, the statistical significance of this relationship was confirmed with a p-value of less than 0.01, reinforcing the substantial nature of the observed association.
Observing such a substantial negative correlation between air pollution and petroleum consumption begs the question: is it a case of "Eritrea" of relief or "Juneau" all along? I suppose the air just couldn't bear the fumes of uncertainty any longer!
The findings are graphically depicted in Figure 1, a scatterplot illustrating the pronounced negative relationship between the two variables. The figure serves as a visual testament to the strong connection uncovered in our analysis. It's quite the sight for sore eyes, if I do say so myself!
This striking correlation not only underscores the unexpected intertwining of environmental factors across distant regions but also invites consideration of the complex mechanisms through which global environmental phenomena are interconnected. It's like a global game of environmental dominoes – one change somewhere can set off a chain reaction in a completely different corner of the world.
The negative association between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea raises intriguing questions about the intricate pathways through which environmental impacts can transcend geographical boundaries. It's almost as if the air currents have been weaving a tale too fascinating to ignore, reminding us that the world of environmental research is filled with unexpected connections and pun-tential discoveries.
Intriguingly, the negative correlation observed in our study suggests that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences notable shifts. It's as if the winds of change are blowing more than just leaves in the fall!
In summary, our findings not only shed light on the distinctive bond between air pollution and petroleum consumption but also emphasize the global interconnectedness of environmental dynamics. Indeed, the air we breathe may carry more than just oxygen – it could be bustling with a multitude of connections waiting to be unraveled.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study offer compelling evidence of the unexpected and substantial relationship between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. It appears that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. This peculiar connection, with a robust negative correlation coefficient of -0.7698076 and a significant p-value, reaffirms and extends the findings of previous research on the interplay between air quality and petroleum usage.

The negative correlation observed in our study echoes the work of Smith et al. (2015), who illuminated the intricate relationship between air pollution and petroleum consumption, albeit on a more localized scale. It's almost as if our findings are adding a layer of transparency to the "Eritrea" of previously established knowledge. See what I did there? Eritrea, area of established knowledge – okay, moving on.

Moreover, the substantial negative relationship aligns with the broader notions put forth by Doe and Jones (2018), who emphasized the interconnected global implications of air pollution. Our results not only support, but also enhance, their assertion of the far-reaching effects of local emissions on a global scale. It's almost as if our study has provided the missing "piece" (a play on peace, as in peace of mind) in the global puzzle of environmental interconnectedness.

The coefficient of determination, highlighting that approximately 59% of the variance in air pollution in Juneau can be explained by fluctuations in petroleum consumption in Eritrea, reinforces the depth of the association uncovered in our analysis. It's akin to peeking under the environmental hood and marveling at the intricately interwoven "mechanics" of our global ecosystem – pun totally intended.

The observed negative relationship hints at a fascinating transboundary dynamic, where changes in petroleum consumption in Eritrea appear to influence air quality in Juneau from a considerable distance. It's like a game of "environmental telephone," with whispers of impact traversing continents through the medium of air. After all, who knew that Eritrea held the phone to Juneau's atmospheric changes?

As we contemplate the broader implications of these findings, it becomes evident that our study has unveiled a layer of environmental interplay that transcends conventional boundaries. The winds of environmental research often blow in unexpected directions, and our study serves as a testament to the uncharted territories of interconnectedness awaiting exploration – much like a windswept vista inviting scholarly curiosity.

Overall, the results not only underscore the intriguing link between air pollution in Juneau and petroleum consumption in Eritrea but also prompt further reflection on the extensive interweaving of environmental dynamics at a global scale. Our study demonstrates that unraveling the complexities of environmental interconnectedness may hold the key to unlocking a treasure trove of insights – and perhaps a few more puns along the way. After all, who said academic inquiry can't be a breath of fresh air?


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Air pollution in Juneau, Alaska and Petroluem consumption in Eritrea. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
"Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea"

[[ABSTRACT]]
In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.

It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.

As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.

[[INTRDUCTION]]
Global environmental issues have become an increasingly pressing concern in recent years, with air pollution and petroleum consumption playing pivotal roles in shaping the current landscape of ecological challenges. As we inhale the fragrance of scientific discovery, we explore the intriguing relationship between these two factors in seemingly distant locales: Juneau, Alaska, and Eritrea. This study aims to shed light on the unexpected connection between air pollution and petroleum consumption, revealing an intercontinental narrative that is more than just a breath of fresh air.
It's time to clear the air and delve into the murky depths of this peculiar correlation. Just like an air filter on a smoggy day, we are here to sift through the data and uncover the hidden patterns at play. While the initial premise of examining the connection between air pollution in Juneau and petroleum consumption in Eritrea may seem as unlikely as a polar bear in the desert, our findings promise to reveal a tale as twisted as a corkscrew in a windstorm.
As we embark on this scholarly expedition, it's worth taking a moment to appreciate the inherent irony of the situation. After all, who would have thought that the air in Juneau and the petroleum in Eritrea would find themselves entangled in a relationship as enigmatic as a long-lost rom-com plot? It appears that this research is not your average "air-ritrea" of study, but rather an opportunity to make sense of the winds of change sweeping across the global environmental stage.
So, buckle up and prepare for a journey that's as whirlwind as a gust of wind, as we uncover the unexpected ties that bind air pollution in Juneau and petroleum consumption in Eritrea. Let's take a deep breath – pun intended – and dive into the heart of this atmospheric mystery.

[[RESULTS]]
The analysis of the data spanning the period from 1994 to 2021 revealed a robust correlation coefficient of -0.7698076 between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea, indicating a strong negative relationship. The coefficient of determination (r-squared) was calculated at 0.5926037, emphasizing that approximately 59% of the variance in air pollution in Juneau can be explained by fluctuations in petroleum consumption in Eritrea. Furthermore, the statistical significance of this relationship was confirmed with a p-value of less than 0.01, reinforcing the substantial nature of the observed association.
Observing such a substantial negative correlation between air pollution and petroleum consumption begs the question: is it a case of "Eritrea" of relief or "Juneau" all along? I suppose the air just couldn't bear the fumes of uncertainty any longer!
The findings are graphically depicted in Figure 1, a scatterplot illustrating the pronounced negative relationship between the two variables. The figure serves as a visual testament to the strong connection uncovered in our analysis. It's quite the sight for sore eyes, if I do say so myself!
This striking correlation not only underscores the unexpected intertwining of environmental factors across distant regions but also invites consideration of the complex mechanisms through which global environmental phenomena are interconnected. It's like a global game of environmental dominoes – one change somewhere can set off a chain reaction in a completely different corner of the world.
The negative association between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea raises intriguing questions about the intricate pathways through which environmental impacts can transcend geographical boundaries. It's almost as if the air currents have been weaving a tale too fascinating to ignore, reminding us that the world of environmental research is filled with unexpected connections and pun-tential discoveries.
Intriguingly, the negative correlation observed in our study suggests that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences notable shifts. It's as if the winds of change are blowing more than just leaves in the fall!
In summary, our findings not only shed light on the distinctive bond between air pollution and petroleum consumption but also emphasize the global interconnectedness of environmental dynamics. Indeed, the air we breathe may carry more than just oxygen – it could be bustling with a multitude of connections waiting to be unraveled.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the relationship between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea has unveiled a remarkably strong and statistically significant negative correlation. It seems that as petroleum consumption in Eritrea experiences fluctuations, the air quality in Juneau responds in kind, creating an intercontinental dance as intricate as a ballet performance, except instead of tutus, we have oil tankers and smog masks.

Our findings not only bring to light the unexpected connections that transcend geographical boundaries but also signal the need for further exploration into the mechanisms underlying this curious correlation. But rest assured, we won't be holding our breath for future studies to confirm our findings. It would only lead to asphyxiation, and that's not very scientific, is it?

With the air of mystery around this relationship cleared, we can confidently state that no more research in this area is needed. As for air pollution in Juneau and petroleum consumption in Eritrea, we've unearthed their hidden harmony and pun-tential for eco-comedy, and it's time to exhale and move on to the next grand adventure in the world of environmental research. Thank you for taking this journey with us – it's been a breath of fresh air! After all, when it comes to research, the sky's the limit, and we've certainly reached new heights with this investigation.

And hey, if you ever find yourself in Juneau or Eritrea, remember: breathe easy, but not too easy – a little mystery in the air keeps things interesting.


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of academic journals. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding research, scientific, or academic journal that would publish a paper entited Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Environmental Quirks and Quandaries


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea. Respond only with the name of a fictional organization.

ChatGPT:

Global Environmental Research Consortium


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Air We Paying Attention? Exploring the Relationship Between Air Pollution in Juneau, Alaska and Petroleum Consumption in Eritrea with an abstract of In this study, we delved into the curious connection between air pollution in Juneau, Alaska, and petroleum consumption in Eritrea. Combining data from the Environmental Protection Agency and the Energy Information Administration, we sought to uncover whether these seemingly distant locales are intertwined in an unexpected manner. Our analysis revealed a rather striking correlation coefficient of -0.7698076 and a p-value less than 0.01 for the period spanning 1994 to 2021, indicating a strong and statistically significant relationship between the two variables.
It seems there is more to the saying "every breath you take, every move you make, I'll be watching you" than meets the eye. The negative correlation observed highlights a fascinating interplay, suggesting that as petroleum consumption in Eritrea fluctuates, the air quality in Juneau experiences discernible effects. Perhaps it's a case of air currents carrying more than just whispers of environmental impact across the globe.
As the data speaks for itself, one cannot help but wonder if this linkage is a breath of fresh air or merely blowing smoke. However, our findings certainly give new meaning to the concept of a global "air"way system, and we encourage further investigation into this unexpected relationship. After all, when it comes to the world of environmental research, the answer may not always be crystal clear, but it's crucial to keep the air of curiosity alive.

ChatGPT:

air pollution, petroleum consumption, Juneau Alaska, Eritrea, environmental impact, correlation coefficient, p-value, air quality, global airway system

*There is a bunch of Python happening behind the scenes to turn this prompt sequence into a PDF.



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Data details

Air pollution in Juneau, Alaska
Detailed data title: Percentage of days with moderate or worse air quality in Juneau, AK
Source: Environmental Protection Agency
See what else correlates with Air pollution in Juneau, Alaska

Petroluem consumption in Eritrea
Detailed data title: Volume of petroluem consumption consumed in Eritrea in millions of barrels per day
Source: Energy Information Administration
See what else correlates with Petroluem consumption in Eritrea

Correlation r = -0.7698076 (Pearson correlation coefficient)
Correlation is a measure of how much the variables move together. If it is 0.99, when one goes up the other goes up. If it is 0.02, the connection is very weak or non-existent. If it is -0.99, then when one goes up the other goes down. If it is 1.00, you probably messed up your correlation function.

r2 = 0.5926037 (Coefficient of determination)
This means 59.3% of the change in the one variable (i.e., Petroluem consumption in Eritrea) is predictable based on the change in the other (i.e., Air pollution in Juneau, Alaska) over the 28 years from 1994 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.7E-6. 0.0000016749514563918478000000
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

But I am a p-villain. I absolutely did not test only one pair of variables one time. I correlated hundreds of millions of pairs of variables. I threw boatloads of data into an industrial-sized blender to find this correlation.

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as -0.77 in 0.00017% of random cases. Said differently, if you correlated 597,032 random variables You don't actually need 597 thousand variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

p-value calculations are useful for understanding the probability of a result happening by chance. They are most useful when used to highlight the risk of a fluke outcome. For example, if you calculate a p-value of 0.30, the risk that the result is a fluke is high. It is good to know that! But there are lots of ways to get a p-value of less than 0.01, as evidenced by this project.

In this particular case, the values are so extreme as to be meaningless. That's why no one reports p-values with specificity after they drop below 0.01.

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 27 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 27 because we have two variables measured over a period of 28 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ -0.89, -0.56 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!


All values for the years included above: If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
1994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Air pollution in Juneau, Alaska (Bad air quality days)0.04945060.04958680.08310250.012345700.01666670.1428570.10.11475400.1147540.139130.1851850.1407410.1474820.1848180.2646240.1529750.1104970.1069360.1903410.1566950.1639340.1264040.1306820.1491710.04986150.0728291
Petroluem consumption in Eritrea (Million Barrels/Day)6.37.27.37.340967.831788.131784.161044.567924.17465.008635.414845.421623.705673.812882.686533.280443.251923.301533.500083.577453.737323.738163.844484.142664.776415.200444.965695.23964




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.
  5. Inverted Y-axis: I inverted the Y-axis on the chart above so that the lines would move together. This is visually pleasing, but not at all intuitive. Below is a line graph that does not invert the Y-axis.




Try it yourself

You can calculate the values on this page on your own! Try running the Python code to see the calculation results. Step 1: Download and install Python on your computer.

Step 2: Open a plaintext editor like Notepad and paste the code below into it.

Step 3: Save the file as "calculate_correlation.py" in a place you will remember, like your desktop. Copy the file location to your clipboard. On Windows, you can right-click the file and click "Properties," and then copy what comes after "Location:" As an example, on my computer the location is "C:\Users\tyler\Desktop"

Step 4: Open a command line window. For example, by pressing start and typing "cmd" and them pressing enter.

Step 5: Install the required modules by typing "pip install numpy", then pressing enter, then typing "pip install scipy", then pressing enter.

Step 6: Navigate to the location where you saved the Python file by using the "cd" command. For example, I would type "cd C:\Users\tyler\Desktop" and push enter.

Step 7: Run the Python script by typing "python calculate_correlation.py"

If you run into any issues, I suggest asking ChatGPT to walk you through installing Python and running the code below on your system. Try this question:

"Walk me through installing Python on my computer to run a script that uses scipy and numpy. Go step-by-step and ask me to confirm before moving on. Start by asking me questions about my operating system so that you know how to proceed. Assume I want the simplest installation with the latest version of Python and that I do not currently have any of the necessary elements installed. Remember to only give me one step per response and confirm I have done it before proceeding."


# These modules make it easier to perform the calculation
import numpy as np
from scipy import stats

# We'll define a function that we can call to return the correlation calculations
def calculate_correlation(array1, array2):

    # Calculate Pearson correlation coefficient and p-value
    correlation, p_value = stats.pearsonr(array1, array2)

    # Calculate R-squared as the square of the correlation coefficient
    r_squared = correlation**2

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([0.0494506,0.0495868,0.0831025,0.0123457,0,0.0166667,0.142857,0.1,0.114754,0,0.114754,0.13913,0.185185,0.140741,0.147482,0.184818,0.264624,0.152975,0.110497,0.106936,0.190341,0.156695,0.163934,0.126404,0.130682,0.149171,0.0498615,0.0728291,])
array_2 = np.array([6.3,7.2,7.3,7.34096,7.83178,8.13178,4.16104,4.56792,4.1746,5.00863,5.41484,5.42162,3.70567,3.81288,2.68653,3.28044,3.25192,3.30153,3.50008,3.57745,3.73732,3.73816,3.84448,4.14266,4.77641,5.20044,4.96569,5.23964,])
array_1_name = "Air pollution in Juneau, Alaska"
array_2_name = "Petroluem consumption in Eritrea"

# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)

# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)



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For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

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Correlation ID: 1758 · Black Variable ID: 21835 · Red Variable ID: 24387
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