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Spurious correlation #3,880 · 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 Seneca, South Carolina and the second variable is Jet fuel used in Burkina Faso.  The chart goes from 1991 to 2007, and the two variables track closely in value over that time. Small Image

AI explanation

The higher levels of air pollution in Seneca, South Carolina created stronger air currents that inadvertently contributed to more efficient combustion of jet fuel in Burkina Faso. It's like Seneca was unintentionally giving Burkina Faso's jets a literal air-boost!

Model: dalle-3
Prompt: Generate an image depicting a steampunk version of Seneca, South Carolina, blanketed in thick smog. In the sky above, a flock of migratory birds with mechanical wings soars southward, dropping small packages of jet fuel from their beaks. The packages land in a clearing in Burkina Faso, next to a small village, where the villagers react to the unexpected delivery. 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: Air pollution in Seneca, South Carolina and Jet fuel used in Burkina Faso. 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: Steampunk Woodblock painting Photorealism Celtic art Cutsy graphics
ChatGPT: Steampunk

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 Air pollution in Seneca, South Carolina and Jet fuel used in Burkina Faso, in the following situation: Because when air pollution increases in Seneca, South Carolina, it causes migratory birds to fly south in search of cleaner air. These birds then happen to drop small packages of jet fuel from their beaks while passing over Burkina Faso, leading to an unexpected supply of jet fuel in the region.. Keep the description simple.
ChatGPT: In Seneca, South Carolina, thick smog hangs over the town, as a group of migratory birds fly southward overhead. A few of the birds drop small packages of jet fuel from their beaks, which land in a clearing in Burkina Faso, next to a small village.

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: [ Steampunk ] and depicting this scene: In Seneca, South Carolina, thick smog hangs over the town, as a group of migratory birds fly southward overhead. A few of the birds drop small packages of jet fuel from their beaks, which land in a clearing in Burkina Faso, next to a small village. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image depicting a steampunk version of Seneca, South Carolina, blanketed in thick smog. In the sky above, a flock of migratory birds with mechanical wings soars southward, dropping small packages of jet fuel from their beaks. The packages land in a clearing in Burkina Faso, next to a small village, where the villagers react to the unexpected delivery.

*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 Seneca, South Carolina positively influenced Jet fuel used in Burkina Faso. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

The International Journal of Environmental Quandaries

Jan 2024
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 Seneca, South Carolina and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns.

Make the title an alliteration.

Your research team used data from Environmental Protection Agency and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.7288811 and p < 0.01 for 1991 to 2007.

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]]
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

[[ABSTRACT]]
This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.

Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.

Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.


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 Seneca, South Carolina and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

[[ABSTRACT]]
This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.

Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.

Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Imagine the sight of a researcher scratching their head in puzzlement, pondering the perplexing possibility of a correlation between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. It sounds as incongruous as a penguin at a pool party or a statistician in a stand-up comedy club. However, in the realm of scientific inquiry, the most unexpected connections can spark the brightest insights.

In this study, we set out to untangle the enigmatic web of influence that encompasses air quality in Seneca and the jet fuel activities in Burkina Faso. At first glance, one might think it's as unrelated as a cat and a canary. But we harnessed the power of data from the Environmental Protection Agency and the Energy Information Administration and delved deep into the statistical jungle, armed with our trusty calculators and a penchant for punning.

Our investigation uncovered a correlation coefficient of 0.7288811—a number so peculiar, even the most seasoned statistician might raise an eyebrow. Add in a statistically significant p-value of less than 0.01, and we found ourselves in a statistical wonderland, where the unexpected reigns supreme. It's akin to discovering a unicorn in a field of horses. With our analysis spanning the years 1991 to 2007, we embarked on a journey stranger than fiction, riding the rollercoaster of variables and numbers with the enthusiasm of a scientist in a lab full of beakers.

But why, one might inquire, would jet fuel activities in Burkina Faso have the faintest impact on the air quality of South Carolina? This question lured us into a labyrinth of possibilities, with the siren call of causation echoing in our ears. Did the winds of fate carry emissions across continents, playing a part in this unexpected dance of pollutants? Or was there a subtler interplay at work, as delicate as a butterfly flapping its wings on one side of the world and influencing the weather on the other?

Our quest was not only one of scientific scrutiny but also a testament to the whimsy of the research world. The mysteries and anomalies that pepper our findings emphasize the capricious nature of exploration, reminding us that science is as unpredictable as a novice chef attempting a complex recipe.

In the pages that follow, we invite you to join us in unraveling this riddle, where the threads of air quality and jet fuel intertwine in a tapestry of intrigue. Just as a good joke reveals unexpected punchlines, our research aims to shed light on surprising connections and inspire a newfound appreciation for the serendipity of scientific inquiry.


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 Seneca, South Carolina and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns.

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 name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

[[ABSTRACT]]
This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.

Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.

Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Imagine the sight of a researcher scratching their head in puzzlement, pondering the perplexing possibility of a correlation between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. It sounds as incongruous as a penguin at a pool party or a statistician in a stand-up comedy club. However, in the realm of scientific inquiry, the most unexpected connections can spark the brightest insights.
In this study, we set out to untangle the enigmatic web of influence that encompasses air quality in Seneca and the jet fuel activities in Burkina Faso. At first glance, one might think it's as unrelated as a cat and a canary. But we harnessed the power of data from the Environmental Protection Agency and the Energy Information Administration and delved deep into the statistical jungle, armed with our trusty calculators and a penchant for punning.
Our investigation uncovered a correlation coefficient of 0.7288811—a number so peculiar, even the most seasoned statistician might raise an eyebrow. Add in a statistically significant p-value of less than 0.01, and we found ourselves in a statistical wonderland, where the unexpected reigns supreme. It's akin to discovering a unicorn in a field of horses. With our analysis spanning the years 1991 to 2007, we embarked on a journey stranger than fiction, riding the rollercoaster of variables and numbers with the enthusiasm of a scientist in a lab full of beakers.
But why, one might inquire, would jet fuel activities in Burkina Faso have the faintest impact on the air quality of South Carolina? This question lured us into a labyrinth of possibilities, with the siren call of causation echoing in our ears. Did the winds of fate carry emissions across continents, playing a part in this unexpected dance of pollutants? Or was there a subtler interplay at work, as delicate as a butterfly flapping its wings on one side of the world and influencing the weather on the other?
Our quest was not only one of scientific scrutiny but also a testament to the whimsy of the research world. The mysteries and anomalies that pepper our findings emphasize the capricious nature of exploration, reminding us that science is as unpredictable as a novice chef attempting a complex recipe.
In the pages that follow, we invite you to join us in unraveling this riddle, where the threads of air quality and jet fuel intertwine in a tapestry of intrigue. Just as a good joke reveals unexpected punchlines, our research aims to shed light on surprising connections and inspire a newfound appreciation for the serendipity of scientific inquiry.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Understanding the peculiar correlation between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso warrants a comprehensive review of existing literature. Our inquiry leads us through a labyrinth of scholarly works, much like a librarian navigating a maze of bookshelves, in search of insights and knowledge. We commence this journey with a solemn nod to the serious studies conducted on air quality and fuel emissions, but as we delve deeper, we may stray into the whimsical realms of fiction and film to illuminate the colorful tapestry of this unexpected connection.

In "Air Quality and Global Environmental Impact" by Smith et al., the authors examine various factors contributing to air pollution, including industrial emissions and transportation-related pollutants. While their focus is on broader global impacts, their findings serve as a foundation for understanding the potential influence of jet fuel emissions from Burkina Faso on air quality in distant Seneca. As we shift our gaze to the skies, one cannot help but recall the words of Doe and Jones in their seminal work "Jet Fuel Emissions and Their Environmental Effects." Their extensive analysis of the chemical composition and dispersal patterns of jet fuel emissions provides crucial insights into the potential pathways through which pollutants may traverse continents, possibly landing in the air breathed by the residents of Seneca. The world of non-fiction literature offers a rich tapestry of knowledge, yet it is not the sole repository of wisdom.

Turning to "Eco-Mysteries: Puzzling Pollution" by environmental advocate Lisa Green, we encounter a compelling narrative that weaves together elements of air quality, intrigue, and a dash of detective work. While not a scientific treatise, Green's work serves as a thought-provoking reminder of the mystery that surrounds environmental phenomena and the necessity of critical inquiry. Continuing on this path, we encounter "The Air Affair" by novelist Jane Air, a curious tale that, while purely fictional, captures the imagination with its whimsical portrayal of airborne adventures and unlikely encounters.

As we spiral further into the realm of unexpected connections, we find refuge in the world of cinema. In "Planes, Trains, and Air Quality Gains," a lighthearted documentary, filmmaker Luca Blue explores the impact of aviation on global air quality, touching upon the potential reach of jet fuel emissions. Meanwhile, the classic comedy "Air Pollution in the City" takes a tongue-in-cheek approach to the serious topic of urban air pollution, offering a satirical glimpse into the lives of individuals navigating the complexities of polluted cityscapes.

The diversity of literature and media sources mirrors the eclectic nature of our investigation, where the serious and the whimsical intersect to shed light on the enigmatic connection between air pollution in Seneca and jet fuel usage in Burkina Faso. As we proceed, let us not shy away from embracing the unexpected and, perhaps, unconventional avenues of exploration. After all, as the saying goes, truth can be stranger than fiction, and the pursuit of knowledge often leads us down unanticipated paths.


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 Seneca, South Carolina and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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 1991 to 2007

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]]
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

[[ABSTRACT]]
This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.

Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.

Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.

[[INTRODUCTION]]
Imagine the sight of a researcher scratching their head in puzzlement, pondering the perplexing possibility of a correlation between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. It sounds as incongruous as a penguin at a pool party or a statistician in a stand-up comedy club. However, in the realm of scientific inquiry, the most unexpected connections can spark the brightest insights.
In this study, we set out to untangle the enigmatic web of influence that encompasses air quality in Seneca and the jet fuel activities in Burkina Faso. At first glance, one might think it's as unrelated as a cat and a canary. But we harnessed the power of data from the Environmental Protection Agency and the Energy Information Administration and delved deep into the statistical jungle, armed with our trusty calculators and a penchant for punning.
Our investigation uncovered a correlation coefficient of 0.7288811—a number so peculiar, even the most seasoned statistician might raise an eyebrow. Add in a statistically significant p-value of less than 0.01, and we found ourselves in a statistical wonderland, where the unexpected reigns supreme. It's akin to discovering a unicorn in a field of horses. With our analysis spanning the years 1991 to 2007, we embarked on a journey stranger than fiction, riding the rollercoaster of variables and numbers with the enthusiasm of a scientist in a lab full of beakers.
But why, one might inquire, would jet fuel activities in Burkina Faso have the faintest impact on the air quality of South Carolina? This question lured us into a labyrinth of possibilities, with the siren call of causation echoing in our ears. Did the winds of fate carry emissions across continents, playing a part in this unexpected dance of pollutants? Or was there a subtler interplay at work, as delicate as a butterfly flapping its wings on one side of the world and influencing the weather on the other?
Our quest was not only one of scientific scrutiny but also a testament to the whimsy of the research world. The mysteries and anomalies that pepper our findings emphasize the capricious nature of exploration, reminding us that science is as unpredictable as a novice chef attempting a complex recipe.
In the pages that follow, we invite you to join us in unraveling this riddle, where the threads of air quality and jet fuel intertwine in a tapestry of intrigue. Just as a good joke reveals unexpected punchlines, our research aims to shed light on surprising connections and inspire a newfound appreciation for the serendipity of scientific inquiry.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

Ah, the thrilling and (sometimes) confounding world of research methodology. Buckle up, dear reader, for a journey through the labyrinth of data collection, statistical analysis, and what some might call "organized chaos." Our methodology, much like a whimsical recipe concocted by a mad scientist, involves a curious blend of conventional techniques and a dash of unorthodox flair. So, without further ado, let's delve into the peculiar protocol that underpins this investigation.

[[METHODOLOGY]]

Data Collection:
Imagine a team of intrepid explorers scouring the digital wilderness, armed with an insatiable thirst for information and a fervent love for Excel spreadsheets. Our venture into the realm of data collection led us to the hallowed halls of the Environmental Protection Agency and the Energy Information Administration. Much like spelunkers navigating dark caverns in search of precious gems, we meticulously gathered data spanning the years from 1991 to 2007. We compiled a cornucopia of statistics, embracing variables with the enthusiasm of a child in a candy store, all in the pursuit of unraveling the enigmatic relationship between air pollution in Seneca and the consumption of jet fuel in Burkina Faso.

Statistical Alchemy:
With our treasure trove of data in hand, we embarked on a quest worthy of the finest mathematicians and statisticians. Armed with our trusty calculators and an arsenal of statistical software, we ventured into the proverbial jungle of regression analysis and correlation calculations. We prodded the data, guided by the spirit of inquiry, and teased out the tantalizing connection between air quality and jet fuel activities. Picture a mathematical dance where correlation coefficients pirouette and p-values waltz, all under the watchful eye of the statistical maestro.

Causation Cuisine:
As we delved deeper into the heart of our investigation, we found ourselves contemplating the menu of potential causal mechanisms. Was the relationship between air pollution in Seneca and jet fuel usage in Burkina Faso as clear as a freshly cleaned test tube, or did it lurk in the shadows like an elusive lab specimen? We pondered the winds of fate, considering the possibility of air pollutants voyaging across continents like intrepid explorers, while also entertaining the notion of subtler interactions that defy simplistic explanations.

Computerized Conjuring:
In this digital age, no research endeavor would be complete without the wizardry of computer modeling. We harnessed the computational might of modern technology to simulate and explore the intricate web of variables, conjuring visual representations that rival the most enchanting works of art. Our models shimmered with the ethereal glow of electronic pixels, offering glimpses into the underlying patterns and connections that drew air pollution and jet fuel usage together in an unexpected embrace.

In conclusion, our methodology reflects the spirit of scientific inquiry—an intrepid exploration laced with a hint of whimsy. We embraced the adventure of unraveling a perplexing puzzle, channeling the peculiar and the unexpected into our methods. Just as a clever pun can reveal unanticipated layers of wit, our methodology serves as a testament to the thrill of uncovering hidden connections in the vast tapestry of data and statistics.


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 Seneca, South Carolina and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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 1991 to 2007, you found a correlation 0.7288811, r-squared of 0.5312677, 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]]
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

[[ABSTRACT]]
This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.

Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.

Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Imagine the sight of a researcher scratching their head in puzzlement, pondering the perplexing possibility of a correlation between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. It sounds as incongruous as a penguin at a pool party or a statistician in a stand-up comedy club. However, in the realm of scientific inquiry, the most unexpected connections can spark the brightest insights.
In this study, we set out to untangle the enigmatic web of influence that encompasses air quality in Seneca and the jet fuel activities in Burkina Faso. At first glance, one might think it's as unrelated as a cat and a canary. But we harnessed the power of data from the Environmental Protection Agency and the Energy Information Administration and delved deep into the statistical jungle, armed with our trusty calculators and a penchant for punning.
Our investigation uncovered a correlation coefficient of 0.7288811—a number so peculiar, even the most seasoned statistician might raise an eyebrow. Add in a statistically significant p-value of less than 0.01, and we found ourselves in a statistical wonderland, where the unexpected reigns supreme. It's akin to discovering a unicorn in a field of horses. With our analysis spanning the years 1991 to 2007, we embarked on a journey stranger than fiction, riding the rollercoaster of variables and numbers with the enthusiasm of a scientist in a lab full of beakers.
But why, one might inquire, would jet fuel activities in Burkina Faso have the faintest impact on the air quality of South Carolina? This question lured us into a labyrinth of possibilities, with the siren call of causation echoing in our ears. Did the winds of fate carry emissions across continents, playing a part in this unexpected dance of pollutants? Or was there a subtler interplay at work, as delicate as a butterfly flapping its wings on one side of the world and influencing the weather on the other?
Our quest was not only one of scientific scrutiny but also a testament to the whimsy of the research world. The mysteries and anomalies that pepper our findings emphasize the capricious nature of exploration, reminding us that science is as unpredictable as a novice chef attempting a complex recipe.
In the pages that follow, we invite you to join us in unraveling this riddle, where the threads of air quality and jet fuel intertwine in a tapestry of intrigue. Just as a good joke reveals unexpected punchlines, our research aims to shed light on surprising connections and inspire a newfound appreciation for the serendipity of scientific inquiry.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the data collected from the Environmental Protection Agency and the Energy Information Administration yielded some eyebrow-raising results, to say the least. The correlation coefficient between air pollution in Seneca, South Carolina, and jet fuel usage in Burkina Faso was a surprising 0.7288811. To put it in more relatable terms, this correlation was stronger than the gravitational pull on a Monday morning! The r-squared value of 0.5312677 further supported the notion of a substantial relationship between these seemingly disparate variables.

In the world of statistics, a p-value of less than 0.01 is as rare and prized as a four-leaf clover, and our findings met this criterion with flying colors. This means that the likelihood of observing such a strong correlation by random chance is about as probable as finding a polar bear in the Sahara desert. In other words, it's highly improbable!

To visually capture this unexpected association, we present Figure 1, a scatterplot that vividly illustrates the robust correlation between air pollution in Seneca and jet fuel usage in Burkina Faso. The strength of this connection is as clear as day, shining through the scatterplot like a beacon of statistical strangeness.

The results of our study not only raise eyebrows but evoke a sense of scientific whimsy, reminding us that the world of research is full of surprises. Just as unexpected punchlines make a joke memorable, our findings aim to leave a lasting impression and spark curiosity about the intricacies of scientific exploration.


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 Seneca, South Carolina and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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]]
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

[[ABSTRACT]]
This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.

Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.

Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.

[[LITERATURE REVIEW]]
Understanding the peculiar correlation between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso warrants a comprehensive review of existing literature. Our inquiry leads us through a labyrinth of scholarly works, much like a librarian navigating a maze of bookshelves, in search of insights and knowledge. We commence this journey with a solemn nod to the serious studies conducted on air quality and fuel emissions, but as we delve deeper, we may stray into the whimsical realms of fiction and film to illuminate the colorful tapestry of this unexpected connection.
In "Air Quality and Global Environmental Impact" by Smith et al., the authors examine various factors contributing to air pollution, including industrial emissions and transportation-related pollutants. While their focus is on broader global impacts, their findings serve as a foundation for understanding the potential influence of jet fuel emissions from Burkina Faso on air quality in distant Seneca. As we shift our gaze to the skies, one cannot help but recall the words of Doe and Jones in their seminal work "Jet Fuel Emissions and Their Environmental Effects." Their extensive analysis of the chemical composition and dispersal patterns of jet fuel emissions provides crucial insights into the potential pathways through which pollutants may traverse continents, possibly landing in the air breathed by the residents of Seneca. The world of non-fiction literature offers a rich tapestry of knowledge, yet it is not the sole repository of wisdom.
Turning to "Eco-Mysteries: Puzzling Pollution" by environmental advocate Lisa Green, we encounter a compelling narrative that weaves together elements of air quality, intrigue, and a dash of detective work. While not a scientific treatise, Green's work serves as a thought-provoking reminder of the mystery that surrounds environmental phenomena and the necessity of critical inquiry. Continuing on this path, we encounter "The Air Affair" by novelist Jane Air, a curious tale that, while purely fictional, captures the imagination with its whimsical portrayal of airborne adventures and unlikely encounters.
As we spiral further into the realm of unexpected connections, we find refuge in the world of cinema. In "Planes, Trains, and Air Quality Gains," a lighthearted documentary, filmmaker Luca Blue explores the impact of aviation on global air quality, touching upon the potential reach of jet fuel emissions. Meanwhile, the classic comedy "Air Pollution in the City" takes a tongue-in-cheek approach to the serious topic of urban air pollution, offering a satirical glimpse into the lives of individuals navigating the complexities of polluted cityscapes.
The diversity of literature and media sources mirrors the eclectic nature of our investigation, where the serious and the whimsical intersect to shed light on the enigmatic connection between air pollution in Seneca and jet fuel usage in Burkina Faso. As we proceed, let us not shy away from embracing the unexpected and, perhaps, unconventional avenues of exploration. After all, as the saying goes, truth can be stranger than fiction, and the pursuit of knowledge often leads us down unanticipated paths.

[[RESULTS]]
The statistical analysis of the data collected from the Environmental Protection Agency and the Energy Information Administration yielded some eyebrow-raising results, to say the least. The correlation coefficient between air pollution in Seneca, South Carolina, and jet fuel usage in Burkina Faso was a surprising 0.7288811. To put it in more relatable terms, this correlation was stronger than the gravitational pull on a Monday morning! The r-squared value of 0.5312677 further supported the notion of a substantial relationship between these seemingly disparate variables.
In the world of statistics, a p-value of less than 0.01 is as rare and prized as a four-leaf clover, and our findings met this criterion with flying colors. This means that the likelihood of observing such a strong correlation by random chance is about as probable as finding a polar bear in the Sahara desert. In other words, it's highly improbable!
To visually capture this unexpected association, we present Figure 1, a scatterplot that vividly illustrates the robust correlation between air pollution in Seneca and jet fuel usage in Burkina Faso. The strength of this connection is as clear as day, shining through the scatterplot like a beacon of statistical strangeness.
The results of our study not only raise eyebrows but evoke a sense of scientific whimsy, reminding us that the world of research is full of surprises. Just as unexpected punchlines make a joke memorable, our findings aim to leave a lasting impression and spark curiosity about the intricacies of scientific exploration.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our findings not only provide a statistical head-scratcher but also tie neatly into the colorful tapestry of prior research, reaffirming the unexpected connections we stumbled upon in our literature review. The correlation coefficient of 0.7288811 between air pollution in Seneca, South Carolina, and jet fuel usage in Burkina Faso holds true as a testament to the power of statistical whimsy, supporting the threads of prior studies much like a sturdy sweater.

The serious works of Smith et al. and Doe and Jones set the stage for our exploration, delving into the broader impacts of air quality and fuel emissions with enough rigor to make a mathematician blush. As our findings aligned with the potential influence of jet fuel emissions on distant air quality, it became clear that the whimsical connections we lightly touched upon in our literature review were not mere flights of fancy.

Beyond the troposphere of scientific literature, our foray into the realms of fiction and film also foreshadowed the unexpected twists and turns of our statistical plot. While Lisa Green's "Eco-Mysteries: Puzzling Pollution" may have skirted the edges of scientific discourse, it underscored the enigmatic nature of environmental phenomena, mirroring our own confounding findings. Even the lighthearted documentary "Planes, Trains, and Air Quality Gains" danced around the edges of our results, mirroring the peculiar dance of variables in our statistical analysis.

The robust correlation we uncovered is as surprising as finding a platypus in your bathtub, underscoring the unpredictable nature of scientific exploration. This unexpected twist in our results emphasizes the importance of embracing the unexpected in research, much like a surprise party in the world of data analysis.

So, as we ponder the perplexing partnership between air pollution in Seneca and jet fuel usage in Burkina Faso, let us remember that truth can be stranger than fiction, and scientific inquiry often leads us down unexpected paths. After all, as the saying goes, "When you find a statistically significant correlation, make scatterplots and embrace the statistical 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 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 Seneca, South Carolina and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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]]
Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso

[[ABSTRACT]]
This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.

Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.

Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.

[[INTRDUCTION]]
Imagine the sight of a researcher scratching their head in puzzlement, pondering the perplexing possibility of a correlation between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. It sounds as incongruous as a penguin at a pool party or a statistician in a stand-up comedy club. However, in the realm of scientific inquiry, the most unexpected connections can spark the brightest insights.
In this study, we set out to untangle the enigmatic web of influence that encompasses air quality in Seneca and the jet fuel activities in Burkina Faso. At first glance, one might think it's as unrelated as a cat and a canary. But we harnessed the power of data from the Environmental Protection Agency and the Energy Information Administration and delved deep into the statistical jungle, armed with our trusty calculators and a penchant for punning.
Our investigation uncovered a correlation coefficient of 0.7288811—a number so peculiar, even the most seasoned statistician might raise an eyebrow. Add in a statistically significant p-value of less than 0.01, and we found ourselves in a statistical wonderland, where the unexpected reigns supreme. It's akin to discovering a unicorn in a field of horses. With our analysis spanning the years 1991 to 2007, we embarked on a journey stranger than fiction, riding the rollercoaster of variables and numbers with the enthusiasm of a scientist in a lab full of beakers.
But why, one might inquire, would jet fuel activities in Burkina Faso have the faintest impact on the air quality of South Carolina? This question lured us into a labyrinth of possibilities, with the siren call of causation echoing in our ears. Did the winds of fate carry emissions across continents, playing a part in this unexpected dance of pollutants? Or was there a subtler interplay at work, as delicate as a butterfly flapping its wings on one side of the world and influencing the weather on the other?
Our quest was not only one of scientific scrutiny but also a testament to the whimsy of the research world. The mysteries and anomalies that pepper our findings emphasize the capricious nature of exploration, reminding us that science is as unpredictable as a novice chef attempting a complex recipe.
In the pages that follow, we invite you to join us in unraveling this riddle, where the threads of air quality and jet fuel intertwine in a tapestry of intrigue. Just as a good joke reveals unexpected punchlines, our research aims to shed light on surprising connections and inspire a newfound appreciation for the serendipity of scientific inquiry.

[[RESULTS]]
The statistical analysis of the data collected from the Environmental Protection Agency and the Energy Information Administration yielded some eyebrow-raising results, to say the least. The correlation coefficient between air pollution in Seneca, South Carolina, and jet fuel usage in Burkina Faso was a surprising 0.7288811. To put it in more relatable terms, this correlation was stronger than the gravitational pull on a Monday morning! The r-squared value of 0.5312677 further supported the notion of a substantial relationship between these seemingly disparate variables.
In the world of statistics, a p-value of less than 0.01 is as rare and prized as a four-leaf clover, and our findings met this criterion with flying colors. This means that the likelihood of observing such a strong correlation by random chance is about as probable as finding a polar bear in the Sahara desert. In other words, it's highly improbable!
To visually capture this unexpected association, we present Figure 1, a scatterplot that vividly illustrates the robust correlation between air pollution in Seneca and jet fuel usage in Burkina Faso. The strength of this connection is as clear as day, shining through the scatterplot like a beacon of statistical strangeness.
The results of our study not only raise eyebrows but evoke a sense of scientific whimsy, reminding us that the world of research is full of surprises. Just as unexpected punchlines make a joke memorable, our findings aim to leave a lasting impression and spark curiosity about the intricacies of scientific exploration.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

Well, folks, it looks like we've cracked the case of the enigmatic entanglement between air pollution in Seneca, South Carolina, and jet fuel usage in Burkina Faso. It's as remarkable as discovering a unicorn in the wild, but boy, have we uncovered some fascinating findings!

The correlation coefficient of 0.7288811 has left us scratching our heads like a bear with an itch, and the statistically significant p-value of less than 0.01 is as rare as a singing frog. Our results are stronger than an espresso shot, and they tell a tale as surprising as a penguin waltzing in a winter wonderland.

We ventured into the statistical jungle armed with our calculators and a sense of adventure, and what we found was more intriguing than a mystery novel. The evidence suggests that the air quality in Seneca and the jet fuel activities in Burkina Faso are more entwined than a pair of spaghetti noodles.

Our scatterplot, like a work of art in a museum of statistical oddities, vividly captures this unexpected relationship, leaving a lasting impression that's as unforgettable as a catchy tune. It's a reminder that science is as wild and unpredictable as a rodeo, and it's brimming with unexpected twists and turns.

So, where does that leave us? It's time to hang up our lab coats and declare that the case of the curious correlation between air pollution in Seneca, South Carolina, and jet fuel usage in Burkina Faso has been cracked wide open. There's no need for further research in this area – we've unraveled this riddle, and it's time to ride off into the sunset, leaving a trail of statistical wonder in our wake.


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 Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso. Respond only with the name of a fictional academic journal.

ChatGPT:

The International Journal of Environmental 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 Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Global Air Quality and Atmospheric Research (SGAQAR)


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 Puzzling Pollution: Parsing the Link Between Air Quality in Seneca and Jet Fuel in Burkina Faso with an abstract of This paper delves into the curious conundrum of the relationship between air pollution in Seneca, South Carolina, and the usage of jet fuel in Burkina Faso. While the topic may seem as random as a panda in a pantry, our research team engaged in a thorough analysis using data from the Environmental Protection Agency and the Energy Information Administration.
Surprisingly, our findings reveal a correlation coefficient of 0.7288811 and a statistically significant p-value of less than 0.01 for the period spanning from 1991 to 2007. This connection is as unexpected as finding a lost sock while doing laundry. We scrutinize potential mechanisms behind this linkage, including the transport of air pollutants across continents and the impact of jet fuel emissions on global air quality.
Our study not only sheds light on this peculiar pairing but also serves as a reminder that scientific exploration can be as unpredictable as a box of chocolates.

ChatGPT:

Seneca air pollution, Burkina Faso jet fuel, air quality correlation, Environmental Protection Agency data, Energy Information Administration data, air pollution transport, global air quality impact, pollutant emission mechanisms, unusual air quality linkage, scientific exploration unexpected findings

*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 Seneca, South Carolina
Detailed data title: Percentage of days 'unhealthy' or worse air quality in Seneca, SC
Source: Environmental Protection Agency
See what else correlates with Air pollution in Seneca, South Carolina

Jet fuel used in Burkina Faso
Detailed data title: Volume of jet fuel used consumed in Burkina Faso in millions of barrels per day
Source: Energy Information Administration
See what else correlates with Jet fuel used in Burkina Faso

Correlation r = 0.7288811 (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 = 0.5312677 (Coefficient of determination)
This means 53.1% of the change in the one variable (i.e., Jet fuel used in Burkina Faso) is predictable based on the change in the other (i.e., Air pollution in Seneca, South Carolina) over the 17 years from 1991 through 2007.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.000903. 0.0009027062220144721000000000
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 0.73 in 0.0903% of random cases. Said differently, if you correlated 1,108 random variables Which I absolutely did.
with the same 16 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 16 because we have two variables measured over a period of 17 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.

[ 0.38, 0.9 ] 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.
19911992199319941995199619971998199920002001200220032004200520062007
Air pollution in Seneca, South Carolina (Bad air quality days)0.0031645600.005602240.006097560.002849000.02228410.01392760.0031645600.0175439000.0027855200.00277008
Jet fuel used in Burkina Faso (Million Barrels/Day)0.20.20.20.20.20.30.32.62.60.2946670.467110.417140.4453840.34450.4388660.5996380.454487




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.




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([0.00316456,0,0.00560224,0.00609756,0.002849,0,0,0.0222841,0.0139276,0.00316456,0,0.0175439,0,0,0.00278552,0,0.00277008,])
array_2 = np.array([0.2,0.2,0.2,0.2,0.2,0.3,0.3,2.6,2.6,0.294667,0.46711,0.41714,0.445384,0.3445,0.438866,0.599638,0.454487,])
array_1_name = "Air pollution in Seneca, South Carolina"
array_2_name = "Jet fuel used in Burkina Faso"

# 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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Correlation ID: 3880 · Black Variable ID: 22124 · Red Variable ID: 24247
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