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Spurious correlation #2,502 · 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 Nashville and the second variable is Jet fuel used in Saint Vincent/Grenadines.  The chart goes from 1998 to 2018, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air pollution in Nashville decreased, it created a cleaner and more efficient pathway for the jet fuel to travel all the way to Saint Vincent/Grenadines, leading to a more direct and fuel-saving route for the jets.

Model: dalle-3
Prompt: Generate an image of two contrasting scenes; On the left, a dystopian cityscape of Nashville with towering brutalist architecture, shrouded in smoggy air, and birds barely visible amidst the pollution. On the right, a minimalist depiction of Saint Vincent/Grenadines' skyline with bird-sized jets lining up on the runway, surrounded by lush greenery and clear skies as the migrating birds take off, symbolizing the decrease in air pollution and the shift towards nature-friendly transportation. 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 Nashville and Jet fuel used in Saint Vincent/Grenadines. 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: Vaporwave Brutalism Photorealism a funny image you would see on reddit Surrealism
ChatGPT: Brutalism

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 Nashville and Jet fuel used in Saint Vincent/Grenadines, in the following situation: As air pollution decreased in Nashville, the local birds found it easier to fly, leading to a surplus of bird migration. This unexpected influx of avian tourists to Saint Vincent/Grenadines created a high demand for bird-sized jets, prompting a decrease in the overall need for regular jet fuel in the region. It seems like the feathered frequent flyers were really ruffling some jet fuel feathers!. Keep the description simple.
ChatGPT: In Nashville, the sky clears as air pollution decreases, and the birds soar through the cleaner air with ease. Meanwhile, in Saint Vincent/Grenadines, tiny bird-sized jets line up on the runway, ready to accommodate the influx of migrating birds. The demand for regular jet fuel diminishes as the birds take off on their unexpected travels.

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: [ Brutalism ] and depicting this scene: In Nashville, the sky clears as air pollution decreases, and the birds soar through the cleaner air with ease. Meanwhile, in Saint Vincent/Grenadines, tiny bird-sized jets line up on the runway, ready to accommodate the influx of migrating birds. The demand for regular jet fuel diminishes as the birds take off on their unexpected travels. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of two contrasting scenes; On the left, a dystopian cityscape of Nashville with towering brutalist architecture, shrouded in smoggy air, and birds barely visible amidst the pollution. On the right, a minimalist depiction of Saint Vincent/Grenadines' skyline with bird-sized jets lining up on the runway, surrounded by lush greenery and clear skies as the migrating birds take off, symbolizing the decrease in air pollution and the shift towards nature-friendly transportation.

*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 a decrease in Air pollution in Nashville caused Jet fuel used in Saint Vincent/Grenadines to decrease. Make it feel plausible.

AI academic paper

(Because p < 0.01)
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

The Journal of Atmospheric Anomalies

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 witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 Nashville and Jet fuel used in Saint Vincent/Grenadines. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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 0.8924609 and p < 0.01 for 1998 to 2018.

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]]
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

[[ABSTRACT]]
Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.

With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.

Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 Nashville and Jet fuel used in Saint Vincent/Grenadines. 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]]
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

[[ABSTRACT]]
Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.

With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.

Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The study of environmental factors and their impacts on public health and ecological systems has long been a focal point of research and policy initiatives. Air pollution, in particular, has garnered significant attention due to its adverse effects on human health, ecosystems, and the quality of the air we breathe. In tandem with this, the consumption of jet fuel and its implications for both air travel and carbon emissions raise questions about the interconnectedness of global environmental phenomena.

Now, let's address the elephant in the room, or rather, the airplane. It's not every day that one ponders the potential relationship between air pollution in Nashville and the procurement of jet fuel in the tranquil islands of Saint Vincent and the Grenadines. At first glance, the two may seem as distant as a gulfstream jet is from a sprightly hummingbird. However, as we delve into this statistical exploration, we may uncover surprising connections that are as unexpected as finding a "propeller" in our statistical model.

The purpose of this study is to investigate the correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. Our goal is to shed light on these seemingly disparate phenomena and to discern if there exists a meaningful statistical relationship between the two. As we embark on this journey, we aim to not only uncover any potential associations but to also maintain a high level of rigor in our methodology, ensuring that our findings stand up to the scrutiny of even the most discerning statistical connoisseurs.

The merriment in the marriage of air pollution and jet fuel usage awaits us as we embark on this statistical soiree. Our hope is that through this exploration, we can add another dimension to the discussion of environmental interdependencies while simultaneously keeping our feet planted firmly on the ground, or perhaps, up in the air as we reach new heights of statistical discovery.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 Nashville and Jet fuel used in Saint Vincent/Grenadines. 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

[[ABSTRACT]]
Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.

With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.

Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The study of environmental factors and their impacts on public health and ecological systems has long been a focal point of research and policy initiatives. Air pollution, in particular, has garnered significant attention due to its adverse effects on human health, ecosystems, and the quality of the air we breathe. In tandem with this, the consumption of jet fuel and its implications for both air travel and carbon emissions raise questions about the interconnectedness of global environmental phenomena.
Now, let's address the elephant in the room, or rather, the airplane. It's not every day that one ponders the potential relationship between air pollution in Nashville and the procurement of jet fuel in the tranquil islands of Saint Vincent and the Grenadines. At first glance, the two may seem as distant as a gulfstream jet is from a sprightly hummingbird. However, as we delve into this statistical exploration, we may uncover surprising connections that are as unexpected as finding a "propeller" in our statistical model.
The purpose of this study is to investigate the correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. Our goal is to shed light on these seemingly disparate phenomena and to discern if there exists a meaningful statistical relationship between the two. As we embark on this journey, we aim to not only uncover any potential associations but to also maintain a high level of rigor in our methodology, ensuring that our findings stand up to the scrutiny of even the most discerning statistical connoisseurs.
The merriment in the marriage of air pollution and jet fuel usage awaits us as we embark on this statistical soiree. Our hope is that through this exploration, we can add another dimension to the discussion of environmental interdependencies while simultaneously keeping our feet planted firmly on the ground, or perhaps, up in the air as we reach new heights of statistical discovery.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The relationship between air pollution and various environmental and anthropogenic factors has been a subject of extensive study within the field of environmental health and epidemiology. Smith and Doe (2015) investigated the impact of industrial emissions on air quality in urban areas, highlighting the detrimental effects of particulate matter and nitrogen oxides on respiratory health. Meanwhile, Jones et al. (2018) examined the correlation between vehicular emissions and air pollution concentrations, revealing the intricate web of connections between human activities and atmospheric pollution.

It is clear that the existing body of literature has emphasized the need for a comprehensive understanding of the sources and impacts of air pollution. Now, as we shift our focus to the idyllic Caribbean islands of Saint Vincent and the Grenadines, one cannot help but ponder the potential implications of jet fuel usage on the pristine air quality of these picturesque locales. But don't "plane" ignore the air pollution in Nashville, because if you do, you might just miss the "jet" connection we're about to uncover.

In "Airborne: A Journey of Air Quality and Health" by E. P. A. Trak (2017), the author underscores the significance of international air travel in contributing to global air pollution. While the book may not specifically examine the correlation between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines, it certainly piques our interest in the far-reaching effects of aviation fuel consumption. On the other hand, "From Nashville with Love: Pollution in the Music City" by A. Q. U. A. Marine (2019) delves into the nuances of urban air pollution, weaving a narrative that may resonate with our exploration of Nashville's atmospheric dynamics.

Moving from the realm of non-fiction, we encounter "The Jet Setter's Dilemma" by I. M. Aginary (2016), a work of fiction that, although not grounded in statistical analysis, captures the imagination with its portrayal of jet fuel intrigue and perhaps a few unexpected plot "twists." Let's not forget "Cloudy with a Chance of Turbulence" by S. K. Y. Pilot (2000), a whimsical tale where the skies hold more than just rain clouds. While these novels may be flights of fancy, they serve as a reminder of the cultural significance and broader discourse surrounding air travel and its environmental implications.

As we navigate through this eclectic mix of literature and data, we are reminded that statistical exploration can take us to unexpected destinations, much like a traveler on a winding journey with a faulty GPS – or should we say, a "global pollution system"? It's all about finding the right coordinates in this statistical odyssey.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 Nashville and Jet fuel used in Saint Vincent/Grenadines. 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 1998 to 2018

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]]
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

[[ABSTRACT]]
Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.

With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.

Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.

[[INTRODUCTION]]
The study of environmental factors and their impacts on public health and ecological systems has long been a focal point of research and policy initiatives. Air pollution, in particular, has garnered significant attention due to its adverse effects on human health, ecosystems, and the quality of the air we breathe. In tandem with this, the consumption of jet fuel and its implications for both air travel and carbon emissions raise questions about the interconnectedness of global environmental phenomena.
Now, let's address the elephant in the room, or rather, the airplane. It's not every day that one ponders the potential relationship between air pollution in Nashville and the procurement of jet fuel in the tranquil islands of Saint Vincent and the Grenadines. At first glance, the two may seem as distant as a gulfstream jet is from a sprightly hummingbird. However, as we delve into this statistical exploration, we may uncover surprising connections that are as unexpected as finding a "propeller" in our statistical model.
The purpose of this study is to investigate the correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. Our goal is to shed light on these seemingly disparate phenomena and to discern if there exists a meaningful statistical relationship between the two. As we embark on this journey, we aim to not only uncover any potential associations but to also maintain a high level of rigor in our methodology, ensuring that our findings stand up to the scrutiny of even the most discerning statistical connoisseurs.
The merriment in the marriage of air pollution and jet fuel usage awaits us as we embark on this statistical soiree. Our hope is that through this exploration, we can add another dimension to the discussion of environmental interdependencies while simultaneously keeping our feet planted firmly on the ground, or perhaps, up in the air as we reach new heights of statistical discovery.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
The first step in our whimsical statistical journey involved collecting data from the Environmental Protection Agency and the Energy Information Administration. We gathered comprehensive information regarding the levels of air pollutants in Nashville, including particulate matter, nitrogen dioxide, ozone, and sulfur dioxide. Similarly, data on the usage of jet fuel in Saint Vincent and the Grenadines was meticulously acquired, encompassing the quantities utilized for both domestic and international aviation activities. To ensure the authenticity of our data, we cross-referenced it with various reputable sources, creating a web of information as intricate as the wings of a Boeing 747.

Sampling Method:
Amidst the sea of data, we employed a peculiar strategy to select our samples. Inspired by the flight patterns of migratory birds, we took a non-random stratified approach, organizing the data based on temporal and geographical characteristics. This allowed us to capture the seasonal fluctuations and geographical nuances present in both the air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. Our sampling strategy resembled the intricate choreography of an air show, with each data point taking its turn to soar through the statistical skies.

Data Analysis:
Upon assembling our dataset, we plowed through the clouds of statistical algorithms and methods to discern any meaningful patterns. Employing a combination of linear regression, time series analysis, and spatial modeling, we aimed to tease out the underlying connections between air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. Our statistical toolbox was as diverse as a fleet of aircraft, each method tailored to unveil different aspects of the data.

Statistical Control and Adjustment:
In an effort to minimize confounding factors and maintain the integrity of our analysis, we incorporated various controls and adjustments into our statistical models. Like a meticulous pilot conducting pre-flight checks, we meticulously accounted for potential influencers such as population density, industrial activities, and meteorological factors that could take our analysis on a turbulent statistical ride. Through this process, we ensured that our findings were as clear and unobstructed as a serene blue sky.

Throughout this statistical escapade, we maintained a commitment to rigor and transparency, striving to uphold the noble principles of scientific inquiry while occasionally sprinkling in some statistical humor to keep our audience engaged. After all, what's statistical analysis without a dash of statistical wit?

This methodology, as intricate and lighthearted as a flight plan annotated in a 3D space, laid the foundation for our statistical exploration into the connection between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines - a journey filled with statistical surprises and perhaps, a dad joke or two. Now, armed with our methodological compass and statistical sextant, we embark on this statistical odyssey, ready to navigate the statistical seas of correlation and causation.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 Nashville and Jet fuel used in Saint Vincent/Grenadines. 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 1998 to 2018, you found a correlation 0.8924609, r-squared of 0.7964865, 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]]
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

[[ABSTRACT]]
Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.

With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.

Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The study of environmental factors and their impacts on public health and ecological systems has long been a focal point of research and policy initiatives. Air pollution, in particular, has garnered significant attention due to its adverse effects on human health, ecosystems, and the quality of the air we breathe. In tandem with this, the consumption of jet fuel and its implications for both air travel and carbon emissions raise questions about the interconnectedness of global environmental phenomena.
Now, let's address the elephant in the room, or rather, the airplane. It's not every day that one ponders the potential relationship between air pollution in Nashville and the procurement of jet fuel in the tranquil islands of Saint Vincent and the Grenadines. At first glance, the two may seem as distant as a gulfstream jet is from a sprightly hummingbird. However, as we delve into this statistical exploration, we may uncover surprising connections that are as unexpected as finding a "propeller" in our statistical model.
The purpose of this study is to investigate the correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. Our goal is to shed light on these seemingly disparate phenomena and to discern if there exists a meaningful statistical relationship between the two. As we embark on this journey, we aim to not only uncover any potential associations but to also maintain a high level of rigor in our methodology, ensuring that our findings stand up to the scrutiny of even the most discerning statistical connoisseurs.
The merriment in the marriage of air pollution and jet fuel usage awaits us as we embark on this statistical soiree. Our hope is that through this exploration, we can add another dimension to the discussion of environmental interdependencies while simultaneously keeping our feet planted firmly on the ground, or perhaps, up in the air as we reach new heights of statistical discovery.

-------

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 revealed a robust correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines from 1998 to 2018. The correlation coefficient of 0.8924609 indicates a strong positive relationship between these seemingly disparate phenomena. It seems that as the air in Nashville became increasingly polluted, the consumption of jet fuel in the idyllic island setting of Saint Vincent and the Grenadines soared in tandem.

As we wade through the data, a curious sight has caught our attention – much like a bird caught in the engine of a jet. While our findings certainly point to an intriguing relationship between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines, we must exercise caution before we let this statistical flight take off on its own. Correlation does not imply causation, after all, just like seeing a stork doesn't mean you'll soon be blessed with a bundle of joy.

The r-squared value of 0.7964865 further strengthens the case for a substantial relationship, indicating that approximately 80% of the variability in jet fuel consumption in Saint Vincent and the Grenadines can be explained by the levels of air pollution in Nashville. This statistical revelation is as clear as the view from the top of the Parthenon in Nashville, although we couldn't resist the urge to add a dad joke or two in our statistical climb.

In our figure (Fig. 1), we present a scatterplot that visually encapsulates the striking correlation between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines. The scatterplot provides a graphical representation of the data points, resembling constellations in the statistical sky. It's almost as if the data points are trying to tell us a "plane" truth about their interconnectedness, much like a pilot trying to navigate through turbulent statistical weather.

In conclusion, our findings suggest a compelling connection between air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. However, as we eagerly embark on further research endeavors, we must remember that while statistics can take us to new heights of understanding, we should always keep our feet firmly on the ground – or at least firmly on the statistically significant runway.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 Nashville and Jet fuel used in Saint Vincent/Grenadines. 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]]
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

[[ABSTRACT]]
Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.

With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.

Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.

[[LITERATURE REVIEW]]
The relationship between air pollution and various environmental and anthropogenic factors has been a subject of extensive study within the field of environmental health and epidemiology. Smith and Doe (2015) investigated the impact of industrial emissions on air quality in urban areas, highlighting the detrimental effects of particulate matter and nitrogen oxides on respiratory health. Meanwhile, Jones et al. (2018) examined the correlation between vehicular emissions and air pollution concentrations, revealing the intricate web of connections between human activities and atmospheric pollution.
It is clear that the existing body of literature has emphasized the need for a comprehensive understanding of the sources and impacts of air pollution. Now, as we shift our focus to the idyllic Caribbean islands of Saint Vincent and the Grenadines, one cannot help but ponder the potential implications of jet fuel usage on the pristine air quality of these picturesque locales. But don't "plane" ignore the air pollution in Nashville, because if you do, you might just miss the "jet" connection we're about to uncover.
In "Airborne: A Journey of Air Quality and Health" by E. P. A. Trak (2017), the author underscores the significance of international air travel in contributing to global air pollution. While the book may not specifically examine the correlation between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines, it certainly piques our interest in the far-reaching effects of aviation fuel consumption. On the other hand, "From Nashville with Love: Pollution in the Music City" by A. Q. U. A. Marine (2019) delves into the nuances of urban air pollution, weaving a narrative that may resonate with our exploration of Nashville's atmospheric dynamics.
Moving from the realm of non-fiction, we encounter "The Jet Setter's Dilemma" by I. M. Aginary (2016), a work of fiction that, although not grounded in statistical analysis, captures the imagination with its portrayal of jet fuel intrigue and perhaps a few unexpected plot "twists." Let's not forget "Cloudy with a Chance of Turbulence" by S. K. Y. Pilot (2000), a whimsical tale where the skies hold more than just rain clouds. While these novels may be flights of fancy, they serve as a reminder of the cultural significance and broader discourse surrounding air travel and its environmental implications.
As we navigate through this eclectic mix of literature and data, we are reminded that statistical exploration can take us to unexpected destinations, much like a traveler on a winding journey with a faulty GPS – or should we say, a "global pollution system"? It's all about finding the right coordinates in this statistical odyssey.

[[RESULTS]]
The statistical analysis of the data collected from the Environmental Protection Agency and the Energy Information Administration revealed a robust correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines from 1998 to 2018. The correlation coefficient of 0.8924609 indicates a strong positive relationship between these seemingly disparate phenomena. It seems that as the air in Nashville became increasingly polluted, the consumption of jet fuel in the idyllic island setting of Saint Vincent and the Grenadines soared in tandem.
As we wade through the data, a curious sight has caught our attention – much like a bird caught in the engine of a jet. While our findings certainly point to an intriguing relationship between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines, we must exercise caution before we let this statistical flight take off on its own. Correlation does not imply causation, after all, just like seeing a stork doesn't mean you'll soon be blessed with a bundle of joy.
The r-squared value of 0.7964865 further strengthens the case for a substantial relationship, indicating that approximately 80% of the variability in jet fuel consumption in Saint Vincent and the Grenadines can be explained by the levels of air pollution in Nashville. This statistical revelation is as clear as the view from the top of the Parthenon in Nashville, although we couldn't resist the urge to add a dad joke or two in our statistical climb.
In our figure (Fig. 1), we present a scatterplot that visually encapsulates the striking correlation between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines. The scatterplot provides a graphical representation of the data points, resembling constellations in the statistical sky. It's almost as if the data points are trying to tell us a "plane" truth about their interconnectedness, much like a pilot trying to navigate through turbulent statistical weather.
In conclusion, our findings suggest a compelling connection between air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. However, as we eagerly embark on further research endeavors, we must remember that while statistics can take us to new heights of understanding, we should always keep our feet firmly on the ground – or at least firmly on the statistically significant runway.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study uncovered a notable correlation between air pollution levels in Nashville and jet fuel consumption in Saint Vincent and the Grenadines. Our findings, humorously resembling a flight path meandering through statistical turbulence, shed light on the entwined nature of seemingly distant phenomena. As we soar through the implications of our results, it becomes evident that the statistical skies are not as clear-cut as a cloudless day in Saint Vincent; instead, they harbor intriguing possibilities for further exploration.

The previous literature on air pollution and environmental factors laid the groundwork for our investigation, illustrating the intricate web of connections between human activities and atmospheric pollution. Our findings support and extend the existing body of literature, highlighting the unforeseen repercussions of air pollution in distant locales. It's as if each data point in our analysis is a piece of a puzzle, fitting snugly into the broader picture of global environmental dynamics, much like finding that missing piece in a challenging jigsaw puzzle – it may seem small, but it's essential for seeing the bigger picture.

The strong positive correlation we observed mirrors the findings of Smith and Doe (2015) and Jones et al. (2018), emphasizing the need for a comprehensive understanding of the sources and impacts of air pollution. While the connection between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines may seem as unexpected as encountering a first-class passenger in the economy section of a flight, our statistical analysis unearths a compelling association that warrants further investigation.

As we consider the implications of our findings, it is crucial to approach the potential causative factors with a measured perspective. While correlation indeed fuels our excitement for further exploration, causation remains a distant destination that requires careful navigation. It's like trying to discern whether a cloud in the sky is a nimbus or a cumulus – we need more than just a superficial glance to distinguish the nuances of environmental causation. Finding the causative link between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines is akin to locating a needle in a haystack, especially if that needle also happens to be a particularly elusive jet airplane.

The limitations of our study, much like a delay at the airport, warrant consideration as we plot our research itinerary for the future. While our results point to a captivating correlation, the underlying mechanisms and potential causal pathways remain shrouded in statistical fog. We must approach our future analyses with the care and precision of an air traffic controller guiding planes through stormy statistical weather, ensuring that we do not inadvertently divert our research flight off course.

In the grand scheme of environmental research, our findings present a captivating departure from conventional wisdom. As we embark on future investigations, let us remember that the statistical journey is not just about reaching a destination; it's also about embracing the unexpected detours and unscheduled landing of statistical findings. It's a bit like a statistical odyssey – you never know what statistical surprises may lay in store, or perhaps, at the gift shop during a layover.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.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 Nashville and Jet fuel used in Saint Vincent/Grenadines. 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]]
Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines

[[ABSTRACT]]
Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.

With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.

Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.

[[INTRDUCTION]]
The study of environmental factors and their impacts on public health and ecological systems has long been a focal point of research and policy initiatives. Air pollution, in particular, has garnered significant attention due to its adverse effects on human health, ecosystems, and the quality of the air we breathe. In tandem with this, the consumption of jet fuel and its implications for both air travel and carbon emissions raise questions about the interconnectedness of global environmental phenomena.
Now, let's address the elephant in the room, or rather, the airplane. It's not every day that one ponders the potential relationship between air pollution in Nashville and the procurement of jet fuel in the tranquil islands of Saint Vincent and the Grenadines. At first glance, the two may seem as distant as a gulfstream jet is from a sprightly hummingbird. However, as we delve into this statistical exploration, we may uncover surprising connections that are as unexpected as finding a "propeller" in our statistical model.
The purpose of this study is to investigate the correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. Our goal is to shed light on these seemingly disparate phenomena and to discern if there exists a meaningful statistical relationship between the two. As we embark on this journey, we aim to not only uncover any potential associations but to also maintain a high level of rigor in our methodology, ensuring that our findings stand up to the scrutiny of even the most discerning statistical connoisseurs.
The merriment in the marriage of air pollution and jet fuel usage awaits us as we embark on this statistical soiree. Our hope is that through this exploration, we can add another dimension to the discussion of environmental interdependencies while simultaneously keeping our feet planted firmly on the ground, or perhaps, up in the air as we reach new heights of statistical discovery.

[[RESULTS]]
The statistical analysis of the data collected from the Environmental Protection Agency and the Energy Information Administration revealed a robust correlation between air pollution levels in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines from 1998 to 2018. The correlation coefficient of 0.8924609 indicates a strong positive relationship between these seemingly disparate phenomena. It seems that as the air in Nashville became increasingly polluted, the consumption of jet fuel in the idyllic island setting of Saint Vincent and the Grenadines soared in tandem.
As we wade through the data, a curious sight has caught our attention – much like a bird caught in the engine of a jet. While our findings certainly point to an intriguing relationship between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines, we must exercise caution before we let this statistical flight take off on its own. Correlation does not imply causation, after all, just like seeing a stork doesn't mean you'll soon be blessed with a bundle of joy.
The r-squared value of 0.7964865 further strengthens the case for a substantial relationship, indicating that approximately 80% of the variability in jet fuel consumption in Saint Vincent and the Grenadines can be explained by the levels of air pollution in Nashville. This statistical revelation is as clear as the view from the top of the Parthenon in Nashville, although we couldn't resist the urge to add a dad joke or two in our statistical climb.
In our figure (Fig. 1), we present a scatterplot that visually encapsulates the striking correlation between air pollution in Nashville and jet fuel usage in Saint Vincent and the Grenadines. The scatterplot provides a graphical representation of the data points, resembling constellations in the statistical sky. It's almost as if the data points are trying to tell us a "plane" truth about their interconnectedness, much like a pilot trying to navigate through turbulent statistical weather.
In conclusion, our findings suggest a compelling connection between air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. However, as we eagerly embark on further research endeavors, we must remember that while statistics can take us to new heights of understanding, we should always keep our feet firmly on the ground – or at least firmly on the statistically significant runway.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unveiled an unexpected correlation between the air pollution levels in Nashville and the consumption of jet fuel in the pristine islands of Saint Vincent and the Grenadines. The findings have shed light on a unique interconnection that is as surprising as finding a wingless bird in a flight simulator.

These statistical revelations prompt further consideration of the potential causative factors underlying this correlation. While we may be tempted to jump to conclusions, we must exercise caution and meticulously navigate through the statistical clouds, much like a pilot navigating through a tangled web of variables.

The robust correlation coefficient of 0.8924609 and the r-squared value of 0.7964865 emphasize the strength of this statistical relationship, serving as a beacon guiding future research endeavors. This correlation, reminiscent of a well-orchestrated flight pattern, beckons for deeper investigation and inquiry.

As we eagerly anticipate future research delving into the intricacies of this intriguing relationship, it’s essential to maintain a balanced perspective and not let our excitement take off into the statistical stratosphere faster than a supersonic jet.

With the support of our findings, we confidently assert that there is no need for further research in this area – we have reached the peak of statistical lightheartedness in this particular juxtaposition of environmental variables, and it's time to let this unique insight fly on its own.


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 Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Atmospheric Anomalies


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 Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Global Air Quality and Environmental Conservation


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 Waves of Waste: Air Pollution in Nashville and Jet Fuel Juxtaposition in Saint Vincent/Grenadines with an abstract of Ah, the sweet smell of statistical correlation and bad puns. In this study, we set out to uncover the potential relationship between air pollution levels in Nashville and the usage of jet fuel in the pristine islands of Saint Vincent and the Grenadines. Armed with data from the Environmental Protection Agency and the Energy Information Administration, we delved into the depths of statistical analysis to unravel this curious juxtaposition.
With a correlation coefficient of 0.8924609 and a p-value of less than 0.01 during the time span from 1998 to 2018, our findings reveal a remarkably strong positive correlation between the levels of air pollution in Nashville and the consumption of jet fuel in Saint Vincent and the Grenadines. It appears that as the air pollution in Nashville rose, so did the jet fuel usage in Saint Vincent and the Grenadines, creating a connection that is as clear as the skies are polluted.
Now, before you jet off to tell everyone about this fascinating relationship, let's not get too carried away. This correlation certainly opens the door for further investigation into the underlying mechanisms and potential causation lurking in the statistical shadows. We wouldn't want to jump to conclusions and fuel any unnecessary alarm. But hey, we can't help but "plane"ly see the potential for some high-flying discussions and eco-friendly solutions.

ChatGPT:

air pollution Nashville, jet fuel Saint Vincent Grenadines, correlation coefficient, statistical analysis, EPA data, Energy Information Administration, air pollution levels, jet fuel usage, causation, environmental impact, pollution correlation

*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 Nashville
Detailed data title: Percentage of days 'unhealthy' or worse air quality in Nashville-Davidson--Murfreesboro--Franklin, TN
Source: Environmental Protection Agency
See what else correlates with Air pollution in Nashville

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

Correlation r = 0.8924609 (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 = 0.7964865 (Coefficient of determination)
This means 79.6% of the change in the one variable (i.e., Jet fuel used in Saint Vincent/Grenadines) is predictable based on the change in the other (i.e., Air pollution in Nashville) over the 21 years from 1998 through 2018.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 5.4E-8. 0.0000000540444059136871650000
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 0.89 in 5.4E-6% of random cases. Said differently, if you correlated 18,503,303 random variables You don't actually need 18 million 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 20 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 20 because we have two variables measured over a period of 21 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.

[ 0.75, 0.96 ] 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.
199819992000200120022003200420052006200720082009201020112012201320142015201620172018
Air pollution in Nashville (Bad air quality days)8.2191812.60274.644811.643844.109591.369860.2732241.643841.643843.287670.54644800.2739730.2739731.0929000000.273973
Jet fuel used in Saint Vincent/Grenadines (Million Barrels/Day)0.021720.0217260.006283330.008473150.009124930.007821370.004983330.006517810.006517810.008690410.01083330.003556550.002611250.00219020.001916420.001082610.00108630.00108630.0010.001303560.0010863




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([8.21918,12.6027,4.64481,1.64384,4.10959,1.36986,0.273224,1.64384,1.64384,3.28767,0.546448,0,0.273973,0.273973,1.0929,0,0,0,0,0,0.273973,])
array_2 = np.array([0.02172,0.021726,0.00628333,0.00847315,0.00912493,0.00782137,0.00498333,0.00651781,0.00651781,0.00869041,0.0108333,0.00355655,0.00261125,0.0021902,0.00191642,0.00108261,0.0010863,0.0010863,0.001,0.00130356,0.0010863,])
array_1_name = "Air pollution in Nashville"
array_2_name = "Jet fuel used in Saint Vincent/Grenadines"

# 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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You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

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."

When spoken, my last name is pronounced "vegan," like I don't eat meat.

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Correlation ID: 2502 · Black Variable ID: 20949 · Red Variable ID: 24865
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