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Spurious correlation #5,516 · 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 Clarksville, Tennessee and the second variable is Jet fuel used in Saint Vincent/Grenadines.  The chart goes from 1998 to 2012, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air pollution in Clarksville, Tennessee decreased, the local bird population suddenly found it easier to navigate, leading to a surge in avian migration. During their regular flights, these birds inadvertently formed a feathered air force and conducted top-secret missions to Saint Vincent/Grenadines, where they implemented strict regulations on jet fuel usage. This unexpected turn of events has left experts both baffled and slightly concerned about the potential rise of a new bird-dominated world order.

Model: dalle-3
Prompt: Image Generation Prompt: Style: Brutalism Scene: In Clarksville, Tennessee, the air cleared as the local bird population soared through the skies with newfound ease. Across the ocean in Saint Vincent/Grenadines, birds organized into a feathered air force, overseeing strict regulations on jet fuel usage. The unexpected collaboration left experts bewildered, raising questions about a potential shift in the global power dynamic to one dominated by birds. Enhanced Visual Prompt: Generate an image that depicts a stark, concrete urban landscape with monumental structures, where flocks of birds move through the sky with purpose and determination. The composition should emphasize the juxtaposition of the rigid, imposing architectural forms with the graceful flight of the birds, creating a sense of contrast and intrigue. Use a subdued color palette and strong geometric shapes to convey the essence of brutalism while highlighting the extraordinary phenomenon of avian coordination and dominance. 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 Clarksville, Tennessee 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: Cubism Cyberpunk Concept art Brutalism Woodblock painting
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 Clarksville, Tennessee and Jet fuel used in Saint Vincent/Grenadines, in the following situation: As air pollution in Clarksville, Tennessee decreased, the local bird population suddenly found it easier to navigate, leading to a surge in avian migration. During their regular flights, these birds inadvertently formed a feathered air force and conducted top-secret missions to Saint Vincent/Grenadines, where they implemented strict regulations on jet fuel usage. This unexpected turn of events has left experts both baffled and slightly concerned about the potential rise of a new bird-dominated world order.. Keep the description simple.
ChatGPT: In Clarksville, Tennessee, the air cleared as the local bird population soared through the skies with newfound ease. Across the ocean in Saint Vincent/Grenadines, birds organized into a feathered air force, overseeing strict regulations on jet fuel usage. The unexpected collaboration left experts bewildered, raising questions about a potential shift in the global power dynamic to one dominated by birds.

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 Clarksville, Tennessee, the air cleared as the local bird population soared through the skies with newfound ease. Across the ocean in Saint Vincent/Grenadines, birds organized into a feathered air force, overseeing strict regulations on jet fuel usage. The unexpected collaboration left experts bewildered, raising questions about a potential shift in the global power dynamic to one dominated by birds. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Image Generation Prompt: Style: Brutalism Scene: In Clarksville, Tennessee, the air cleared as the local bird population soared through the skies with newfound ease. Across the ocean in Saint Vincent/Grenadines, birds organized into a feathered air force, overseeing strict regulations on jet fuel usage. The unexpected collaboration left experts bewildered, raising questions about a potential shift in the global power dynamic to one dominated by birds. Enhanced Visual Prompt: Generate an image that depicts a stark, concrete urban landscape with monumental structures, where flocks of birds move through the sky with purpose and determination. The composition should emphasize the juxtaposition of the rigid, imposing architectural forms with the graceful flight of the birds, creating a sense of contrast and intrigue. Use a subdued color palette and strong geometric shapes to convey the essence of brutalism while highlighting the extraordinary phenomenon of avian coordination and dominance.

*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 Clarksville, Tennessee caused Jet fuel used in Saint Vincent/Grenadines to decrease.\Make it sound serious until the end.

AI academic paper

(Because p < 0.01)
Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines

The Journal of Environmental Air Quality and Aviation Dynamics

Jan 2024

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




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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Air pollution in Clarksville, Tennessee 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 seem clever.

Your research team used data from Environmental Protection Agency and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.8689499 and p < 0.01 for 1998 to 2012.

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]]
"Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines"

[[ABSTRACT]]
Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.

Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.

Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.


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 Clarksville, Tennessee 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. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
"Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines"

[[ABSTRACT]]
Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.

Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.

Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Ah, the sweet aroma of academia, mixed with a hint of jet fuel and a whiff of statistical wizardry. In this paper, we embark on a scholarly journey to uncover the mysterious dance between air pollution in Clarksville, Tennessee, and the jet fuel consumption in the picturesque Saint Vincent/Grenadines. It's a tale of two cities, worlds apart, yet connected by the invisible threads of atmospheric chemistry and statistical correlation. Speaking of threads, did you hear about the statistician who drowned in a river with an average depth of six inches? The water was waist deep, statistically speaking.

Now, let's clear the air. Air pollution is not just a load of hot air—well, it is, but it's also a serious global issue impacting public health and the environment. But don't worry, we're here to inject some levity into the topic, like injecting humor into a scientific paper, much to the delight of peer reviewers. Who doesn't love a good dad joke in the midst of scholarly exploration? Just like a good control variable, a dad joke keeps things constant.

The unexpected connection between air pollution in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines may raise some eyebrows, much like the perplexed look on statisticians' faces when dealing with outliers. Yet, as researchers, it's our duty to unravel the mysteries lurking beneath the seemingly unrelated variables. It's like being detective scientists, searching for clues amidst the data, hoping for a eureka moment more exhilarating than a beautifully significant p-value.

Our expedition into this peculiar correlation combined data from diverse sources, from the Environmental Protection Agency to the Energy Information Administration. It was like mixing chemicals in a lab, except instead of explosive reactions, we got statistical correlations that raised our eyebrows higher than a bad haircut. Yes, these correlations were so strong, they would make even the hardiest statistician blush. Just like how basketball players and mathematicians have a lot in common—they both love to make and shoot hoops.

As we delve further into this intriguing relationship, we aim not only to shed light on the global impact of air pollutants but also to bring a breath of fresh air into the world of scientific inquiry. Because really, what's the point of statistical analysis if you can't crack a good pun or two along the way? And we fully intend to do just that—so fasten your seatbelts and get ready for a ride through the skies of research and the unexpected connections that await us.


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 Clarksville, Tennessee 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. Then name some cartoons and childrens' shows that you watched that are related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
"Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines"

[[ABSTRACT]]
Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.

Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.

Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Ah, the sweet aroma of academia, mixed with a hint of jet fuel and a whiff of statistical wizardry. In this paper, we embark on a scholarly journey to uncover the mysterious dance between air pollution in Clarksville, Tennessee, and the jet fuel consumption in the picturesque Saint Vincent/Grenadines. It's a tale of two cities, worlds apart, yet connected by the invisible threads of atmospheric chemistry and statistical correlation. Speaking of threads, did you hear about the statistician who drowned in a river with an average depth of six inches? The water was waist deep, statistically speaking.
Now, let's clear the air. Air pollution is not just a load of hot air—well, it is, but it's also a serious global issue impacting public health and the environment. But don't worry, we're here to inject some levity into the topic, like injecting humor into a scientific paper, much to the delight of peer reviewers. Who doesn't love a good dad joke in the midst of scholarly exploration? Just like a good control variable, a dad joke keeps things constant.
The unexpected connection between air pollution in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines may raise some eyebrows, much like the perplexed look on statisticians' faces when dealing with outliers. Yet, as researchers, it's our duty to unravel the mysteries lurking beneath the seemingly unrelated variables. It's like being detective scientists, searching for clues amidst the data, hoping for a eureka moment more exhilarating than a beautifully significant p-value.
Our expedition into this peculiar correlation combined data from diverse sources, from the Environmental Protection Agency to the Energy Information Administration. It was like mixing chemicals in a lab, except instead of explosive reactions, we got statistical correlations that raised our eyebrows higher than a bad haircut. Yes, these correlations were so strong, they would make even the hardiest statistician blush. Just like how basketball players and mathematicians have a lot in common—they both love to make and shoot hoops.
As we delve further into this intriguing relationship, we aim not only to shed light on the global impact of air pollutants but also to bring a breath of fresh air into the world of scientific inquiry. Because really, what's the point of statistical analysis if you can't crack a good pun or two along the way? And we fully intend to do just that—so fasten your seatbelts and get ready for a ride through the skies of research and the unexpected connections that await us.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The literature on air pollution and its various sources is as dense as a foggy morning in San Francisco. Smith et al. (2015) documented the adverse effects of air pollution on public health, highlighting the need for comprehensive strategies to mitigate its impacts. Meanwhile, Doe and Jones (2018) examined the environmental consequences of industrial emissions, emphasizing the urgency of addressing pollution at its roots. These studies, much like a bad smell, linger in the air, reminding us of the serious implications of atmospheric contamination.

Now, let's take a look at some sources that may not have made it into the academic journals, but still provide some valuable insights, much like finding a crispy dollar bill in an old coat pocket. In "The Air We Breathe: A Journey into the World of Atmospheric Chemistry," Lorem and Ipsum (2019) take readers on a whirlwind tour through the complex interactions between various air pollutants, painting a vivid picture of the invisible dance happening above our heads.

On a more fictional note, "Cloudy with a Chance of Pollution" by A. Novel (2000) offers a whimsical take on a town where air pollution takes on a life of its own, raining down on the unsuspecting citizens like a less-than-pleasant surprise. This charming picture book, much like our research, shows that even the most unlikely pairings can lead to unexpected outcomes.

And who could forget the classic cartoon "Captain Planet and the Planeteers," where a group of environmentally conscious teenagers join forces with a blue-skinned superhero to battle eco-villains? Their adventures, although fictional, mirror our own quest to uncover the interconnectedness of atmospheric phenomena while also reminding us that with great statistical power comes great responsibility.

In "The Magic School Bus: Air-Raising Adventures," the beloved Ms. Frizzle takes her students on a journey through the atmosphere, encountering air pollutants and jet streams along the way. While this may not be the most rigorous scientific material, it certainly sparks the imagination and highlights the importance of engaging young minds in the wonders of environmental science.

So, as we navigate through the literature, it's essential to remember that even in the realm of serious research, there's always room for a good laugh or a clever pun. After all, who said statistical analysis couldn't be fun? And if all else fails, we can always turn to our reliable arsenal of dad jokes to keep us soaring through this academic odyssey.


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 Clarksville, Tennessee 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. 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 1998 to 2012

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]]
"Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines"

[[ABSTRACT]]
Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.

Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.

Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.

[[INTRODUCTION]]
Ah, the sweet aroma of academia, mixed with a hint of jet fuel and a whiff of statistical wizardry. In this paper, we embark on a scholarly journey to uncover the mysterious dance between air pollution in Clarksville, Tennessee, and the jet fuel consumption in the picturesque Saint Vincent/Grenadines. It's a tale of two cities, worlds apart, yet connected by the invisible threads of atmospheric chemistry and statistical correlation. Speaking of threads, did you hear about the statistician who drowned in a river with an average depth of six inches? The water was waist deep, statistically speaking.
Now, let's clear the air. Air pollution is not just a load of hot air—well, it is, but it's also a serious global issue impacting public health and the environment. But don't worry, we're here to inject some levity into the topic, like injecting humor into a scientific paper, much to the delight of peer reviewers. Who doesn't love a good dad joke in the midst of scholarly exploration? Just like a good control variable, a dad joke keeps things constant.
The unexpected connection between air pollution in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines may raise some eyebrows, much like the perplexed look on statisticians' faces when dealing with outliers. Yet, as researchers, it's our duty to unravel the mysteries lurking beneath the seemingly unrelated variables. It's like being detective scientists, searching for clues amidst the data, hoping for a eureka moment more exhilarating than a beautifully significant p-value.
Our expedition into this peculiar correlation combined data from diverse sources, from the Environmental Protection Agency to the Energy Information Administration. It was like mixing chemicals in a lab, except instead of explosive reactions, we got statistical correlations that raised our eyebrows higher than a bad haircut. Yes, these correlations were so strong, they would make even the hardiest statistician blush. Just like how basketball players and mathematicians have a lot in common—they both love to make and shoot hoops.
As we delve further into this intriguing relationship, we aim not only to shed light on the global impact of air pollutants but also to bring a breath of fresh air into the world of scientific inquiry. Because really, what's the point of statistical analysis if you can't crack a good pun or two along the way? And we fully intend to do just that—so fasten your seatbelts and get ready for a ride through the skies of research and the unexpected connections that await us.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Ah, the nitty-gritty details of our scholarly escapade—brace yourselves, for we're about to dive into the whirlwind of data collection, statistical analysis, and a sprinkle of scientific shenanigans. Our research team embarked on this scientific odyssey armed with curiosity, a heap of data from the Environmental Protection Agency and the Energy Information Administration, and a penchant for finding correlations in unexpected places. It's like searching for a particular data point in a sea of numbers, except the sea is laden with statistical puns and the data point is wearing a disguise.

First off, let's talk about our data sources. We gathered air pollution levels in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines from the Environmental Protection Agency and the Energy Information Administration. It was like being a data detective, sifting through virtual files and documents to uncover the hidden truths of our variables. It's a bit like hunting for Easter eggs, except instead of chocolate, we found correlation coefficients and p-values. And let me tell you, those p-values were so low, they could practically moonlight as limbo sticks.

To establish the connection between air pollution in Clarksville and jet fuel usage in Saint Vincent/Grenadines, we engaged in some serious statistical arm-wrestling, also known as correlation analysis. We crunched numbers, calculated correlation coefficients, and performed statistical tests to determine the strength and significance of the relationship between these seemingly disparate variables. It's like watching a cosmic ballet unfold in the statistical universe, where each dance move of the variables tells a story more intricate than a spider's web of regression lines.

Now, I know what you're thinking—what about the confounding variables? Fear not, intrepid reader, for we meticulously accounted for potential confounders such as population density, economic indicators, and even the occasional rogue gust of wind. We wanted to ensure that our findings were as robust as the exoskeleton of a statistical beetle, standing firm against potential threats to their validity. Statistical beetles—nature's statisticians.

In addition to correlation analysis, we also employed time series analysis to capture the dynamic nature of the relationship between air pollution in Clarksville and jet fuel usage in Saint Vincent/Grenadines over the years 1998 to 2012. It was like watching a time-lapse of a statistical sunset, where each data point played a role in the ever-changing panorama of our variables. And let me tell you, those time series plots were more captivating than a magician's sleight of hand.

In summary, our methodology combined the meticulous gathering of data, the finesse of statistical analysis, and the occasional well-placed statistical quip to unravel the mysterious connection between air pollution in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines. It was a journey filled with data-driven discoveries, statistical mischief, and the occasional pun that landed just right. So hold on to your lab coats, because the next stop on this scientific rollercoaster is the land of results—and we're about to uncover correlations that will leave you more breathless than a marathon runner in a statistical sprint.


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 Clarksville, Tennessee 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. 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 1998 to 2012, you found a correlation 0.8689499, r-squared of 0.7550739, 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]]
"Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines"

[[ABSTRACT]]
Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.

Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.

Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Ah, the sweet aroma of academia, mixed with a hint of jet fuel and a whiff of statistical wizardry. In this paper, we embark on a scholarly journey to uncover the mysterious dance between air pollution in Clarksville, Tennessee, and the jet fuel consumption in the picturesque Saint Vincent/Grenadines. It's a tale of two cities, worlds apart, yet connected by the invisible threads of atmospheric chemistry and statistical correlation. Speaking of threads, did you hear about the statistician who drowned in a river with an average depth of six inches? The water was waist deep, statistically speaking.
Now, let's clear the air. Air pollution is not just a load of hot air—well, it is, but it's also a serious global issue impacting public health and the environment. But don't worry, we're here to inject some levity into the topic, like injecting humor into a scientific paper, much to the delight of peer reviewers. Who doesn't love a good dad joke in the midst of scholarly exploration? Just like a good control variable, a dad joke keeps things constant.
The unexpected connection between air pollution in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines may raise some eyebrows, much like the perplexed look on statisticians' faces when dealing with outliers. Yet, as researchers, it's our duty to unravel the mysteries lurking beneath the seemingly unrelated variables. It's like being detective scientists, searching for clues amidst the data, hoping for a eureka moment more exhilarating than a beautifully significant p-value.
Our expedition into this peculiar correlation combined data from diverse sources, from the Environmental Protection Agency to the Energy Information Administration. It was like mixing chemicals in a lab, except instead of explosive reactions, we got statistical correlations that raised our eyebrows higher than a bad haircut. Yes, these correlations were so strong, they would make even the hardiest statistician blush. Just like how basketball players and mathematicians have a lot in common—they both love to make and shoot hoops.
As we delve further into this intriguing relationship, we aim not only to shed light on the global impact of air pollutants but also to bring a breath of fresh air into the world of scientific inquiry. Because really, what's the point of statistical analysis if you can't crack a good pun or two along the way? And we fully intend to do just that—so fasten your seatbelts and get ready for a ride through the skies of research and the unexpected connections that await us.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our analysis revealed a strong positive correlation between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in Saint Vincent/Grenadines. The correlation coefficient of 0.8689499 suggests a robust relationship between these seemingly disparate variables. It's like finding out that chocolate and peanut butter actually do go together – who would've thought?

Furthermore, the r-squared value of 0.7550739 indicates that approximately 75.51% of the variability in air pollution levels can be explained by the variability in jet fuel usage. Seems like these two variables are as inseparable as two peas in a pod, or should I say, two planes in a hangar?

With a p-value of less than 0.01, our findings provide strong evidence to reject the null hypothesis that there is no relationship between air pollution in Clarksville and jet fuel consumption in Saint Vincent/Grenadines. It's safe to say that this connection is as significant as a statistician finding a rare Pokémon in their data set – definitely not something you see every day.

The scatterplot depicted in Figure 1 visually encapsulates this correlation, showing a clear and upward trend between the two variables. It's as undeniable as gravity, or as the frequency of puns in this paper – you just can't escape it.

These results signal a noteworthy discovery in the realm of environmental research and statistical relationships. But hey, it's not rocket science; it's just a couple of variables getting cozy and cozy like a good sweater.


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 Clarksville, Tennessee 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. 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]]
"Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines"

[[ABSTRACT]]
Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.

Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.

Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.

[[LITERATURE REVIEW]]
The literature on air pollution and its various sources is as dense as a foggy morning in San Francisco. Smith et al. (2015) documented the adverse effects of air pollution on public health, highlighting the need for comprehensive strategies to mitigate its impacts. Meanwhile, Doe and Jones (2018) examined the environmental consequences of industrial emissions, emphasizing the urgency of addressing pollution at its roots. These studies, much like a bad smell, linger in the air, reminding us of the serious implications of atmospheric contamination.
Now, let's take a look at some sources that may not have made it into the academic journals, but still provide some valuable insights, much like finding a crispy dollar bill in an old coat pocket. In "The Air We Breathe: A Journey into the World of Atmospheric Chemistry," Lorem and Ipsum (2019) take readers on a whirlwind tour through the complex interactions between various air pollutants, painting a vivid picture of the invisible dance happening above our heads.
On a more fictional note, "Cloudy with a Chance of Pollution" by A. Novel (2000) offers a whimsical take on a town where air pollution takes on a life of its own, raining down on the unsuspecting citizens like a less-than-pleasant surprise. This charming picture book, much like our research, shows that even the most unlikely pairings can lead to unexpected outcomes.
And who could forget the classic cartoon "Captain Planet and the Planeteers," where a group of environmentally conscious teenagers join forces with a blue-skinned superhero to battle eco-villains? Their adventures, although fictional, mirror our own quest to uncover the interconnectedness of atmospheric phenomena while also reminding us that with great statistical power comes great responsibility.
In "The Magic School Bus: Air-Raising Adventures," the beloved Ms. Frizzle takes her students on a journey through the atmosphere, encountering air pollutants and jet streams along the way. While this may not be the most rigorous scientific material, it certainly sparks the imagination and highlights the importance of engaging young minds in the wonders of environmental science.
So, as we navigate through the literature, it's essential to remember that even in the realm of serious research, there's always room for a good laugh or a clever pun. After all, who said statistical analysis couldn't be fun? And if all else fails, we can always turn to our reliable arsenal of dad jokes to keep us soaring through this academic odyssey.

[[RESULTS]]
The results of our analysis revealed a strong positive correlation between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in Saint Vincent/Grenadines. The correlation coefficient of 0.8689499 suggests a robust relationship between these seemingly disparate variables. It's like finding out that chocolate and peanut butter actually do go together – who would've thought?
Furthermore, the r-squared value of 0.7550739 indicates that approximately 75.51% of the variability in air pollution levels can be explained by the variability in jet fuel usage. Seems like these two variables are as inseparable as two peas in a pod, or should I say, two planes in a hangar?
With a p-value of less than 0.01, our findings provide strong evidence to reject the null hypothesis that there is no relationship between air pollution in Clarksville and jet fuel consumption in Saint Vincent/Grenadines. It's safe to say that this connection is as significant as a statistician finding a rare Pokémon in their data set – definitely not something you see every day.
The scatterplot depicted in Figure 1 visually encapsulates this correlation, showing a clear and upward trend between the two variables. It's as undeniable as gravity, or as the frequency of puns in this paper – you just can't escape it.
These results signal a noteworthy discovery in the realm of environmental research and statistical relationships. But hey, it's not rocket science; it's just a couple of variables getting cozy and cozy like a good sweater.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our investigation into the potential link between air pollution levels in Clarksville, Tennessee, and the utilization of jet fuel in Saint Vincent/Grenadines has taken us on a journey akin to a scenic flight over the Grand Canyon – filled with unexpected turns and jaw-dropping sights. It's like we've found the missing puzzle piece that fell behind the couch – who knew it would be so satisfying?

Our findings echo the sentiments expressed by Smith et al. (2015) and Doe and Jones (2018), emphasizing the pressing need to address the impact of air pollution on public health and the environment. Like a persistent knock-knock joke, these results drive home the seriousness of atmospheric contamination and the urgency to tackle it head-on.

It's fascinating to observe how our scholarly pursuit intersects with seemingly whimsical sources such as "Cloudy with a Chance of Pollution" by A. Novel (2000) and "The Magic School Bus: Air-Raising Adventures." While we may not be battling eco-villains with Captain Planet, our research confirms the unexpected interconnectedness of atmospheric phenomena, demonstrating that even the most far-fetched pairings can yield meaningful insights.

We confirmed the robustness of the relationship between air pollution in Clarksville and jet fuel consumption in Saint Vincent/Grenadines, with a correlation coefficient so strong, it's like watching a well-coordinated synchronized swimming routine – a sight to behold. This connection is as irrefutable as the evidence for the existence of gravity, or the constant presence of lab coats in a research lab – it's just a given.

Our results provide compelling evidence to dismiss the notion that these variables are unrelated, akin to discovering a statistical gem amidst a sea of data. The downward-sloping p-value further cements the significance of this relationship, creating a statistical bond stronger than superglue – or like the bond between two particles in a covalent molecule.

As we contemplate the broader implications of our findings, it's essential to recognize the comedic relief that comes from infusing serious research with a dash of humor and creativity. After all, statistical analysis doesn't have to be as dry as the Sahara – there's ample room for a well-crafted dad joke to lighten the academic atmosphere.

In conclusion, our research underscores the unforeseen kinship between air pollution in Clarksville and jet fuel usage in Saint Vincent/Grenadines, proving that even in the realm of science, unexpected connections abound. And who knows, by delving deeper into this atmospheric tango, we might just stumble upon a goldmine of puns and quips that are as refreshing as a breath of clean, unpolluted air.

I can't believe I'm waxing poetic about statistics and research – it's like finding beauty in a spreadsheet!


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 Clarksville, Tennessee 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. 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]]
"Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines"

[[ABSTRACT]]
Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.

Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.

Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.

[[INTRDUCTION]]
Ah, the sweet aroma of academia, mixed with a hint of jet fuel and a whiff of statistical wizardry. In this paper, we embark on a scholarly journey to uncover the mysterious dance between air pollution in Clarksville, Tennessee, and the jet fuel consumption in the picturesque Saint Vincent/Grenadines. It's a tale of two cities, worlds apart, yet connected by the invisible threads of atmospheric chemistry and statistical correlation. Speaking of threads, did you hear about the statistician who drowned in a river with an average depth of six inches? The water was waist deep, statistically speaking.
Now, let's clear the air. Air pollution is not just a load of hot air—well, it is, but it's also a serious global issue impacting public health and the environment. But don't worry, we're here to inject some levity into the topic, like injecting humor into a scientific paper, much to the delight of peer reviewers. Who doesn't love a good dad joke in the midst of scholarly exploration? Just like a good control variable, a dad joke keeps things constant.
The unexpected connection between air pollution in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines may raise some eyebrows, much like the perplexed look on statisticians' faces when dealing with outliers. Yet, as researchers, it's our duty to unravel the mysteries lurking beneath the seemingly unrelated variables. It's like being detective scientists, searching for clues amidst the data, hoping for a eureka moment more exhilarating than a beautifully significant p-value.
Our expedition into this peculiar correlation combined data from diverse sources, from the Environmental Protection Agency to the Energy Information Administration. It was like mixing chemicals in a lab, except instead of explosive reactions, we got statistical correlations that raised our eyebrows higher than a bad haircut. Yes, these correlations were so strong, they would make even the hardiest statistician blush. Just like how basketball players and mathematicians have a lot in common—they both love to make and shoot hoops.
As we delve further into this intriguing relationship, we aim not only to shed light on the global impact of air pollutants but also to bring a breath of fresh air into the world of scientific inquiry. Because really, what's the point of statistical analysis if you can't crack a good pun or two along the way? And we fully intend to do just that—so fasten your seatbelts and get ready for a ride through the skies of research and the unexpected connections that await us.

[[RESULTS]]
The results of our analysis revealed a strong positive correlation between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in Saint Vincent/Grenadines. The correlation coefficient of 0.8689499 suggests a robust relationship between these seemingly disparate variables. It's like finding out that chocolate and peanut butter actually do go together – who would've thought?
Furthermore, the r-squared value of 0.7550739 indicates that approximately 75.51% of the variability in air pollution levels can be explained by the variability in jet fuel usage. Seems like these two variables are as inseparable as two peas in a pod, or should I say, two planes in a hangar?
With a p-value of less than 0.01, our findings provide strong evidence to reject the null hypothesis that there is no relationship between air pollution in Clarksville and jet fuel consumption in Saint Vincent/Grenadines. It's safe to say that this connection is as significant as a statistician finding a rare Pokémon in their data set – definitely not something you see every day.
The scatterplot depicted in Figure 1 visually encapsulates this correlation, showing a clear and upward trend between the two variables. It's as undeniable as gravity, or as the frequency of puns in this paper – you just can't escape it.
These results signal a noteworthy discovery in the realm of environmental research and statistical relationships. But hey, it's not rocket science; it's just a couple of variables getting cozy and cozy like a good sweater.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the connection between air pollution in Clarksville, Tennessee, and jet fuel usage in Saint Vincent/Grenadines has uncovered a surprising and robust correlation. It seems these two variables are more than just passing ships in the night; they're more like two planes passing through each other's flight paths! It's like realizing that air and jet fuel are in a committed relationship—it's just plane to see!

The statistically solid correlation coefficient and p-value of less than 0.01 support the notion that the relationship between these distant phenomena is as real as a lab experiment gone right. And let's not forget the r-squared value, which demonstrates that the variability in air pollution levels can be mostly explained by the variability in jet fuel usage. That's like observing a tight-knit friendship forming between a lab coat and a bunch of test tubes—an unlikely duo that just works.

Our findings hold significant implications for understanding the global impact of air pollutants, but perhaps more importantly, they have enriched the world of statistical research with a bit of unexpected whimsy. And hey, if our association between air pollution and jet fuel can take off, who's to say that your next abstract won't be a runaway success! It's like the statistical theory of six degrees of separation, but with variables—because in the world of data, just about anything can be connected if you crunch the numbers hard enough.

Given the resounding evidence of this interconnection, it's safe to say that further research in this area might just be a case of beating a dead horse—or should we say, overmixing a well-blended statistical cocktail? At this point, it's clear that the correlation between air pollution in Clarksville and jet fuel consumption in Saint Vincent/Grenadines is as solid as a rock. No more research needed in this area; we've hit the statistical jackpot! Let's just say, we've found our statistical significant other.


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 Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Environmental Air Quality and Aviation Dynamics


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 Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines. Respond only with the name of a fictional organization.

ChatGPT:

Society for Atmospheric and Aeronautical Research Dynamics (SAARD)


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 Up in the Air: Exploring the Interplay between Air Pollution in Clarksville, Tennessee, and Jet Fuel Usage in Saint Vincent/Grenadines with an abstract of Air pollution and its impacts on public health and the environment are areas of significant concern, but we're here to lighten the mood with some not-so-smoggy findings. In this study, we set out to investigate the potential connection between air pollution levels in Clarksville, Tennessee, and the consumption of jet fuel in the tropical paradise of Saint Vincent/Grenadines. It's not your everyday pair, but we're here to prove that even distant duos can have a surprising link.
Our research utilized data from the Environmental Protection Agency and the Energy Information Administration, proving that while statistics may seem daunting, they can also be full of hot air. Our analysis revealed a correlation coefficient of 0.8689499 and a p-value of less than 0.01 for the years 1998 to 2012. Yes, those numbers are so strong, they might just take off into the wild blue yonder. And trust us, this correlation is no jet fuel.
Further investigation into the dynamics of this relationship may shed light on the global impact of air pollutants, and if we're lucky, it might also help us craft some sky-high puns. So, fasten your seatbelts, and get ready for a turbulence-free ride through the unexpected interconnection of seemingly unrelated phenomena.

ChatGPT:

air pollution, Clarksville Tennessee, jet fuel usage, Saint Vincent Grenadines, environmental impact, public health, correlation coefficient, p-value, air pollutants, global impact

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

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 = 0.8689499 (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 = 0.7550739 (Coefficient of determination)
This means 75.5% 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 Clarksville, Tennessee) over the 15 years from 1998 through 2012.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.6E-5. 0.0000261439135669682330000000
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 0.87 in 0.0026% of random cases. Said differently, if you correlated 38,250 random variables You don't actually need 38 thousand variables to find a correlation like this one. 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.

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 14 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 14 because we have two variables measured over a period of 15 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.

[ 0.64, 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.
199819992000200120022003200420052006200720082009201020112012
Air pollution in Clarksville, Tennessee (Bad air quality days)0.03314920.04857140.01377410.002739730.01944440.0027624300.0027700800.016483500000.00273224
Jet fuel used in Saint Vincent/Grenadines (Million Barrels/Day)0.021720.0217260.006283330.008473150.009124930.007821370.004983330.006517810.006517810.008690410.01083330.003556550.002611250.00219020.00191642




Why this works

  1. Data dredging: I have 25,237 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 636,906,169 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([0.0331492,0.0485714,0.0137741,0.00273973,0.0194444,0.00276243,0,0.00277008,0,0.0164835,0,0,0,0,0.00273224,])
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,])
array_1_name = "Air pollution in Clarksville, Tennessee"
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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For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

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Correlation ID: 5516 · Black Variable ID: 21599 · Red Variable ID: 24865
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