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Spurious correlation #2,870 · 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 Blacksburg, Virginia and the second variable is Jet fuel used in Burkina Faso.  The chart goes from 1990 to 2003, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The higher levels of air pollution in Blacksburg, Virginia led to stronger air currents, giving an unexpected boost to jet fuel efficiency in Burkina Faso. It's definitely a case of pollution leading to fuel-ution!

Model: dalle-3
Prompt: Generate a comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s that depicts a scene of contrast between two locations. In the foreground, show the city of Blacksburg, Virginia, enveloped in a thick, smoggy haze that mutes the colors of the buildings and streets. This smog forms a hazy cloud over the city, indicating air pollution. In the background, depict the fields of lush green soybean plants in Burkina Faso stretching as far as the eye can see, with workers busily harvesting the crop. The vibrant greenery should contrast with the muted tones of the city. Above both settings, portray a modern jet plane flying overhead, with its engines powered by jet fuel made from organic soybeans. This symbolizes the connection between the increased air pollution in Virginia and the shift towards cleaner jet fuel production in Burkina Faso. Ensure that the visual depiction remains simple and does not include any words or speech bubbles. This prompts DALL·E-3 to produce an interesting and thought-provoking comic-style illustration. 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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: a funny image you would see on reddit Cute cartoon Hyper-realistic A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s An image that looks like it is a scene from 'Star Wars'
ChatGPT: A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s

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 Blacksburg, Virginia and Jet fuel used in Burkina Faso, in the following situation: Changes in air pollution in Blacksburg, Virginia caused jet fuel used in Burkina Faso because the increased smog created a "thirst" for cleaner air. This led to the development of jet fuel made from organic soybeans, creating a market demand for Burkina Faso’s surplus soybean production. As a result, the country shifted its economy toward soybean farming, ultimately becoming a leading supplier of jet fuel worldwide - talk about a high-flying connection!. Keep the description simple.
ChatGPT: In Blacksburg, Virginia, thick smog fills the air, visible as a hazy cloud over the city. In Burkina Faso, fields of lush green soybean plants stretch as far as the eye can see, with workers busily harvesting the crop. A modern jet plane flies overhead, its engines powered by jet fuel made from organic soybeans, symbolizing the connection between the increased air pollution in Virginia and the shift towards cleaner jet fuel production in Burkina Faso.

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: [ A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s ] and depicting this scene: In Blacksburg, Virginia, thick smog fills the air, visible as a hazy cloud over the city. In Burkina Faso, fields of lush green soybean plants stretch as far as the eye can see, with workers busily harvesting the crop. A modern jet plane flies overhead, its engines powered by jet fuel made from organic soybeans, symbolizing the connection between the increased air pollution in Virginia and the shift towards cleaner jet fuel production in Burkina Faso. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate a comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s that depicts a scene of contrast between two locations. In the foreground, show the city of Blacksburg, Virginia, enveloped in a thick, smoggy haze that mutes the colors of the buildings and streets. This smog forms a hazy cloud over the city, indicating air pollution. In the background, depict the fields of lush green soybean plants in Burkina Faso stretching as far as the eye can see, with workers busily harvesting the crop. The vibrant greenery should contrast with the muted tones of the city. Above both settings, portray a modern jet plane flying overhead, with its engines powered by jet fuel made from organic soybeans. This symbolizes the connection between the increased air pollution in Virginia and the shift towards cleaner jet fuel production in Burkina Faso. Ensure that the visual depiction remains simple and does not include any words or speech bubbles. This prompts DALL·E-3 to produce an interesting and thought-provoking comic-style illustration.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how increases in Air pollution in Blacksburg, Virginia positively influenced Jet fuel used in Burkina Faso. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Up in the Air: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso

Journal of Atmospheric Anomalies Research

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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns.

Make the title punny if you can come up with clever pun. If not, just make it sound 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 0.9189698 and p < 0.01 for 1990 to 2003.

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: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso"

[[ABSTRACT]]
This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.


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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. 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]]
"Up in the Air: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso"

[[ABSTRACT]]
This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The pursuit of knowledge often leads researchers down curious and unexpected pathways, much like an errant paper airplane gliding through a crowded room. In this study, we aim to unravel the perplexing connection between air pollution levels in Blacksburg, Virginia, and the usage of jet fuel in Burkina Faso. It might initially seem like comparing apples to avocados – completely unrelated – but as we delve into the data, we uncover a surprising linkage that challenges conventional wisdom.

Air pollution is a topic that hangs heavy in the air, both literally and figuratively. From exhaust fumes to industrial emissions, it is the unwanted by-product of modern society's relentless drive for progress. Meanwhile, jet fuel represents the roaring lifeline of the aviation industry, propelling travelers across the globe and generating an exorbitant amount of greenhouse gases in the process. These two disparate elements might appear about as related as a penguin is to a palm tree, yet our investigation sheds light on an unexpected statistical dance between them.

The correlation we stumble upon, like finding a lost sock tucked away in an unexpected drawer, not only raises perplexing questions but also sparks intrigue into the unseen forces that interlink distant corners of our world. While the subject matter may seem unassuming, the results remarkably indicate a strong correlation that demands further scrutiny and contemplation. This peculiar connection prompts us to ponder: could there be an invisible thread, much like a spider's silk shimmering in the predawn light, weaving together these apparently disconnected realms of pollution and fuel consumption?

In this paper, we present our thorough examination of the data, employing advanced statistical techniques to unravel this unlikely link. Our findings, like a magician revealing the concealed rabbit in the hat, stun with a correlation coefficient that raises more than a few eyebrows. As we embark on this journey of inquiry, let us not only unravel the unexpected connection but also appreciate the mystery and fascination that intertwines seemingly incongruous elements in our complex world.


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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
"Up in the Air: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso"

[[ABSTRACT]]
This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The pursuit of knowledge often leads researchers down curious and unexpected pathways, much like an errant paper airplane gliding through a crowded room. In this study, we aim to unravel the perplexing connection between air pollution levels in Blacksburg, Virginia, and the usage of jet fuel in Burkina Faso. It might initially seem like comparing apples to avocados – completely unrelated – but as we delve into the data, we uncover a surprising linkage that challenges conventional wisdom.
Air pollution is a topic that hangs heavy in the air, both literally and figuratively. From exhaust fumes to industrial emissions, it is the unwanted by-product of modern society's relentless drive for progress. Meanwhile, jet fuel represents the roaring lifeline of the aviation industry, propelling travelers across the globe and generating an exorbitant amount of greenhouse gases in the process. These two disparate elements might appear about as related as a penguin is to a palm tree, yet our investigation sheds light on an unexpected statistical dance between them.
The correlation we stumble upon, like finding a lost sock tucked away in an unexpected drawer, not only raises perplexing questions but also sparks intrigue into the unseen forces that interlink distant corners of our world. While the subject matter may seem unassuming, the results remarkably indicate a strong correlation that demands further scrutiny and contemplation. This peculiar connection prompts us to ponder: could there be an invisible thread, much like a spider's silk shimmering in the predawn light, weaving together these apparently disconnected realms of pollution and fuel consumption?
In this paper, we present our thorough examination of the data, employing advanced statistical techniques to unravel this unlikely link. Our findings, like a magician revealing the concealed rabbit in the hat, stun with a correlation coefficient that raises more than a few eyebrows. As we embark on this journey of inquiry, let us not only unravel the unexpected connection but also appreciate the mystery and fascination that intertwines seemingly incongruous elements in our complex world.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

As we embark on this scholarly exploration of the connection between air pollution in Blacksburg, Virginia, and jet fuel in Burkina Faso, we are met with a smorgasbord of literature discussing air quality, fuel emissions, and the whimsical world of statistical relationships. Smith et al. (2017) contribute to our understanding of air pollution dynamics with their comprehensive study on urban air quality, providing a central foundation for our understanding of the complexities at play. Additionally, Doe (2015) delves into the intricate web of fuel consumption patterns in developing countries, offering valuable insights into the varied global landscapes that shape our research question.

However, as we navigate the maze of academic literature, we cannot help but notice the parallel universe of non-fiction books and their tangential relevance to our investigation. Titles such as "The Invisible Link: How Pollutants and Potenteners Created the Modern World" by Jones (2008) and "Jet Streams and Dreams: A Historical Discourse on the Roaring Romance of Fossil Fuels" by Smith and Brown (2012) beckon to us, hinting at the unexpected twists and turns that await on our academic journey.

Turning to the world of fiction, we encounter an intriguing array of novels that, albeit tangentially, offer a whimsical glimpse into the worlds of air pollution and jet fuel. "The Air Affair" by Jasper Fforde and "Fuel Frenzy: A Tale of High-Octane Intrigue" by Agatha Christie (in an alternate reality where she writes about environmental conundrums) offer a delightful departure into the realm of literary imagination, reminding us that even the most whimsical of connections can be explored through the lens of creative storytelling.

We also draw inspiration from the unlikeliest of sources, including board games that, in their own playful way, mimic the intricacies of environmental interconnections and fuel dynamics. Games such as "Pollution Pandemonium" and "Jet Fuel Juxtaposition" provide an amusing, if not entirely academically relevant, departure from the weighty nature of our inquiry, offering a lighthearted perspective on the profound mysteries we seek to unravel.

In sum, while we ground our investigation in the scholarly foundation laid by esteemed researchers, we also draw inspiration from the whimsical, the imaginative, and the playfully absurd, embracing the full spectrum of human thought as we shed light on the enigmatic connection between air pollution in Blacksburg, Virginia, and jet fuel in Burkina Faso.


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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. 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 1990 to 2003

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: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso"

[[ABSTRACT]]
This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.

[[INTRODUCTION]]
The pursuit of knowledge often leads researchers down curious and unexpected pathways, much like an errant paper airplane gliding through a crowded room. In this study, we aim to unravel the perplexing connection between air pollution levels in Blacksburg, Virginia, and the usage of jet fuel in Burkina Faso. It might initially seem like comparing apples to avocados – completely unrelated – but as we delve into the data, we uncover a surprising linkage that challenges conventional wisdom.
Air pollution is a topic that hangs heavy in the air, both literally and figuratively. From exhaust fumes to industrial emissions, it is the unwanted by-product of modern society's relentless drive for progress. Meanwhile, jet fuel represents the roaring lifeline of the aviation industry, propelling travelers across the globe and generating an exorbitant amount of greenhouse gases in the process. These two disparate elements might appear about as related as a penguin is to a palm tree, yet our investigation sheds light on an unexpected statistical dance between them.
The correlation we stumble upon, like finding a lost sock tucked away in an unexpected drawer, not only raises perplexing questions but also sparks intrigue into the unseen forces that interlink distant corners of our world. While the subject matter may seem unassuming, the results remarkably indicate a strong correlation that demands further scrutiny and contemplation. This peculiar connection prompts us to ponder: could there be an invisible thread, much like a spider's silk shimmering in the predawn light, weaving together these apparently disconnected realms of pollution and fuel consumption?
In this paper, we present our thorough examination of the data, employing advanced statistical techniques to unravel this unlikely link. Our findings, like a magician revealing the concealed rabbit in the hat, stun with a correlation coefficient that raises more than a few eyebrows. As we embark on this journey of inquiry, let us not only unravel the unexpected connection but also appreciate the mystery and fascination that intertwines seemingly incongruous elements in our complex world.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the unexpected relationship between air pollution in Blacksburg, Virginia, and jet fuel usage in Burkina Faso, our research team embarked on a captivating data odyssey. We collected a plethora of data from various sources across the internet, like intrepid treasure hunters sifting through digital archives. The primary sources of our data included the Environmental Protection Agency (EPA) and the Energy Information Administration (EIA), where we scoured through years of records like enthusiastic spelunkers delving into the depths of a statistical cave.

Our dataset spanned the years from 1990 to 2003, capturing a significant period of environmental and aviation activity. This timeframe allowed us to witness the ebb and flow of air pollution and jet fuel usage, providing a rich tapestry from which to unravel the intricate dance between these unlikely bedfellows.

Employing advanced statistical techniques akin to a master weaver deftly crafting a complex tapestry, we scrutinized the data with precision. Our analysis encompassed the use of multivariate regression models, time series analysis, and correlation analyses. We leveraged these techniques to not only establish the relationship between air pollution and jet fuel usage but also to tease out the nuanced nuances of their interaction.

One might wonder if it was like untangling a Gordian knot, but our intrepid researchers tackled the challenge with scientific rigor and an unwavering commitment to unraveling the unexpected mysteries of environmental and aviation dynamics.

Furthermore, we conducted sensitivity analyses and robustness checks to ensure the integrity and reliability of our findings. Like discerning detectives examining clues at a crime scene, we meticulously scrutinized the robustness of our results to varying assumptions and model specifications, leaving no statistical stone unturned.

In addition to the quantitative analyses, we also delved into qualitative assessments of policy interventions and industry practices in both Blacksburg, Virginia, and Burkina Faso. This qualitative exploration added depth to our understanding of the contextual factors that could underpin the observed statistical relationship, much like adding layers of seasoning to a dish to enhance its flavor.

Overall, our methodological approach was aimed at uncovering the elusive connection between air pollution and jet fuel usage with a blend of statistical acumen, thoroughness, and an adventurous spirit to embrace the unexpected.


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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. 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 1990 to 2003, you found a correlation 0.9189698, r-squared of 0.8445054, 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: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso"

[[ABSTRACT]]
This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The pursuit of knowledge often leads researchers down curious and unexpected pathways, much like an errant paper airplane gliding through a crowded room. In this study, we aim to unravel the perplexing connection between air pollution levels in Blacksburg, Virginia, and the usage of jet fuel in Burkina Faso. It might initially seem like comparing apples to avocados – completely unrelated – but as we delve into the data, we uncover a surprising linkage that challenges conventional wisdom.
Air pollution is a topic that hangs heavy in the air, both literally and figuratively. From exhaust fumes to industrial emissions, it is the unwanted by-product of modern society's relentless drive for progress. Meanwhile, jet fuel represents the roaring lifeline of the aviation industry, propelling travelers across the globe and generating an exorbitant amount of greenhouse gases in the process. These two disparate elements might appear about as related as a penguin is to a palm tree, yet our investigation sheds light on an unexpected statistical dance between them.
The correlation we stumble upon, like finding a lost sock tucked away in an unexpected drawer, not only raises perplexing questions but also sparks intrigue into the unseen forces that interlink distant corners of our world. While the subject matter may seem unassuming, the results remarkably indicate a strong correlation that demands further scrutiny and contemplation. This peculiar connection prompts us to ponder: could there be an invisible thread, much like a spider's silk shimmering in the predawn light, weaving together these apparently disconnected realms of pollution and fuel consumption?
In this paper, we present our thorough examination of the data, employing advanced statistical techniques to unravel this unlikely link. Our findings, like a magician revealing the concealed rabbit in the hat, stun with a correlation coefficient that raises more than a few eyebrows. As we embark on this journey of inquiry, let us not only unravel the unexpected connection but also appreciate the mystery and fascination that intertwines seemingly incongruous elements in our complex world.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Upon conducting our rigorous statistical analysis, we discovered a notable correlation between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. The Pearson correlation coefficient of 0.9189698 suggests a remarkably strong positive relationship between these seemingly disparate factors. In addition, the r-squared value of 0.8445054 indicates that approximately 84.45% of the variability in air pollution levels in Blacksburg can be explained by the variability in jet fuel usage in Burkina Faso during the period from 1990 to 2003. Furthermore, with a p-value of less than 0.01, our findings are deemed to be statistically significant.

The peculiar nature of this correlation poses both intriguing questions and unexpected possibilities. It's as if we stumbled upon a rare coin hidden in plain sight, prompting us to reassess our understanding of the interplay between local pollution and global fuel consumption. Fig. 1 presents a scatterplot, visually displaying the strong correlation between these unlikely bedfellows, illustrating the surprising nature of this relationship.

These results not only challenge the conventional wisdom but also pique our curiosity about the intricate web of connections that transcend geographical and cultural boundaries. The strength of this correlation is as surprising as finding a needle in a haystack – but instead of a needle, it's a whole knitting kit, complete with all the unexpected connections and entanglements that come with it.

In conclusion, our research not only sheds light on this unexpected relationship but also serves as a springboard for further investigations into the complex and often baffling interdependencies that underpin our global environmental landscape. As we unravel this enigmatic connection, we are reminded that in the world of statistics, just like in the world at large, expect the unexpected.


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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. 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]]
"Up in the Air: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso"

[[ABSTRACT]]
This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.

[[LITERATURE REVIEW]]
As we embark on this scholarly exploration of the connection between air pollution in Blacksburg, Virginia, and jet fuel in Burkina Faso, we are met with a smorgasbord of literature discussing air quality, fuel emissions, and the whimsical world of statistical relationships. Smith et al. (2017) contribute to our understanding of air pollution dynamics with their comprehensive study on urban air quality, providing a central foundation for our understanding of the complexities at play. Additionally, Doe (2015) delves into the intricate web of fuel consumption patterns in developing countries, offering valuable insights into the varied global landscapes that shape our research question.
However, as we navigate the maze of academic literature, we cannot help but notice the parallel universe of non-fiction books and their tangential relevance to our investigation. Titles such as "The Invisible Link: How Pollutants and Potenteners Created the Modern World" by Jones (2008) and "Jet Streams and Dreams: A Historical Discourse on the Roaring Romance of Fossil Fuels" by Smith and Brown (2012) beckon to us, hinting at the unexpected twists and turns that await on our academic journey.
Turning to the world of fiction, we encounter an intriguing array of novels that, albeit tangentially, offer a whimsical glimpse into the worlds of air pollution and jet fuel. "The Air Affair" by Jasper Fforde and "Fuel Frenzy: A Tale of High-Octane Intrigue" by Agatha Christie (in an alternate reality where she writes about environmental conundrums) offer a delightful departure into the realm of literary imagination, reminding us that even the most whimsical of connections can be explored through the lens of creative storytelling.
We also draw inspiration from the unlikeliest of sources, including board games that, in their own playful way, mimic the intricacies of environmental interconnections and fuel dynamics. Games such as "Pollution Pandemonium" and "Jet Fuel Juxtaposition" provide an amusing, if not entirely academically relevant, departure from the weighty nature of our inquiry, offering a lighthearted perspective on the profound mysteries we seek to unravel.
In sum, while we ground our investigation in the scholarly foundation laid by esteemed researchers, we also draw inspiration from the whimsical, the imaginative, and the playfully absurd, embracing the full spectrum of human thought as we shed light on the enigmatic connection between air pollution in Blacksburg, Virginia, and jet fuel in Burkina Faso.

[[RESULTS]]
Upon conducting our rigorous statistical analysis, we discovered a notable correlation between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. The Pearson correlation coefficient of 0.9189698 suggests a remarkably strong positive relationship between these seemingly disparate factors. In addition, the r-squared value of 0.8445054 indicates that approximately 84.45% of the variability in air pollution levels in Blacksburg can be explained by the variability in jet fuel usage in Burkina Faso during the period from 1990 to 2003. Furthermore, with a p-value of less than 0.01, our findings are deemed to be statistically significant.
The peculiar nature of this correlation poses both intriguing questions and unexpected possibilities. It's as if we stumbled upon a rare coin hidden in plain sight, prompting us to reassess our understanding of the interplay between local pollution and global fuel consumption. Fig. 1 presents a scatterplot, visually displaying the strong correlation between these unlikely bedfellows, illustrating the surprising nature of this relationship.
These results not only challenge the conventional wisdom but also pique our curiosity about the intricate web of connections that transcend geographical and cultural boundaries. The strength of this correlation is as surprising as finding a needle in a haystack – but instead of a needle, it's a whole knitting kit, complete with all the unexpected connections and entanglements that come with it.
In conclusion, our research not only sheds light on this unexpected relationship but also serves as a springboard for further investigations into the complex and often baffling interdependencies that underpin our global environmental landscape. As we unravel this enigmatic connection, we are reminded that in the world of statistics, just like in the world at large, expect the unexpected.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study have unearthed a surprising and substantial relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Our findings not only align with prior research but also provide a deeper understanding of the intricate interplay between local air quality and global fuel consumption dynamics.

Our discovery of a strong positive correlation between these seemingly unrelated variables is as unexpected as finding a polar bear in the Sahara desert – a striking juxtaposition that demands further scrutiny and contemplation. This finding is not just a statistical quirk; it challenges the conventional wisdom and confronts us with a conundrum reminiscent of an intellectual game of "Pollution Pandemonium" where the unexpected connections are both confounding and exhilarating.

In revisiting the literature that initially piqued our curiosity, we cannot help but take a second, more serious look at the tangentially relevant sources that initially raised our eyebrows. The non-fiction tomes "The Invisible Link" and "Jet Streams and Dreams" suddenly seem less fanciful and more prophetic as we see our empirical evidence echoing the themes of interconnectedness and unpredictability. It's as if Jones and Smith and Brown were whispering, "I told you so," from the pages of their books, reminding us that truth, at times, is indeed stranger than fiction.

The whimsical departure into the world of novels and board games, once seen as mere diversions, now takes on a new light. Could "The Air Affair" and "Fuel Frenzy" have unknowingly been exploring the very connections we set out to uncover? In a delightful twist of fate, these lighthearted expressions of creativity have, in essence, foreshadowed the unexpected revelations of our study, proving that truth can be found in the unlikeliest of places, even in a literary milieu of fictional aerodynamic escapades.

The unexpected strength of the correlation we have unearthed challenges us to embrace the full spectrum of human thought, from the whimsical to the scholarly, as we seek to unravel the enigma of this unlikely relationship. Our findings not only add a new layer to the existing body of academic knowledge but also underscore the unpredictable nature of statistical relationships, reminding us that in the world of statistics, as in life, expect the unexpected.


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 Blacksburg, Virginia and Jet fuel used in Burkina Faso. Make lots of jokes, goofy observations, and puns. 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]]
"Up in the Air: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso"

[[ABSTRACT]]
This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.

[[INTRDUCTION]]
The pursuit of knowledge often leads researchers down curious and unexpected pathways, much like an errant paper airplane gliding through a crowded room. In this study, we aim to unravel the perplexing connection between air pollution levels in Blacksburg, Virginia, and the usage of jet fuel in Burkina Faso. It might initially seem like comparing apples to avocados – completely unrelated – but as we delve into the data, we uncover a surprising linkage that challenges conventional wisdom.
Air pollution is a topic that hangs heavy in the air, both literally and figuratively. From exhaust fumes to industrial emissions, it is the unwanted by-product of modern society's relentless drive for progress. Meanwhile, jet fuel represents the roaring lifeline of the aviation industry, propelling travelers across the globe and generating an exorbitant amount of greenhouse gases in the process. These two disparate elements might appear about as related as a penguin is to a palm tree, yet our investigation sheds light on an unexpected statistical dance between them.
The correlation we stumble upon, like finding a lost sock tucked away in an unexpected drawer, not only raises perplexing questions but also sparks intrigue into the unseen forces that interlink distant corners of our world. While the subject matter may seem unassuming, the results remarkably indicate a strong correlation that demands further scrutiny and contemplation. This peculiar connection prompts us to ponder: could there be an invisible thread, much like a spider's silk shimmering in the predawn light, weaving together these apparently disconnected realms of pollution and fuel consumption?
In this paper, we present our thorough examination of the data, employing advanced statistical techniques to unravel this unlikely link. Our findings, like a magician revealing the concealed rabbit in the hat, stun with a correlation coefficient that raises more than a few eyebrows. As we embark on this journey of inquiry, let us not only unravel the unexpected connection but also appreciate the mystery and fascination that intertwines seemingly incongruous elements in our complex world.

[[RESULTS]]
Upon conducting our rigorous statistical analysis, we discovered a notable correlation between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. The Pearson correlation coefficient of 0.9189698 suggests a remarkably strong positive relationship between these seemingly disparate factors. In addition, the r-squared value of 0.8445054 indicates that approximately 84.45% of the variability in air pollution levels in Blacksburg can be explained by the variability in jet fuel usage in Burkina Faso during the period from 1990 to 2003. Furthermore, with a p-value of less than 0.01, our findings are deemed to be statistically significant.
The peculiar nature of this correlation poses both intriguing questions and unexpected possibilities. It's as if we stumbled upon a rare coin hidden in plain sight, prompting us to reassess our understanding of the interplay between local pollution and global fuel consumption. Fig. 1 presents a scatterplot, visually displaying the strong correlation between these unlikely bedfellows, illustrating the surprising nature of this relationship.
These results not only challenge the conventional wisdom but also pique our curiosity about the intricate web of connections that transcend geographical and cultural boundaries. The strength of this correlation is as surprising as finding a needle in a haystack – but instead of a needle, it's a whole knitting kit, complete with all the unexpected connections and entanglements that come with it.
In conclusion, our research not only sheds light on this unexpected relationship but also serves as a springboard for further investigations into the complex and often baffling interdependencies that underpin our global environmental landscape. As we unravel this enigmatic connection, we are reminded that in the world of statistics, just like in the world at large, expect the unexpected.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In the tangled web of global environmental dynamics, our investigation has unraveled a remarkably strong correlation between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. This unexpected linkage, akin to discovering a secret passage in a familiar building, challenges our preconceived notions and beckons further exploration. The statistical dance between these seemingly unrelated elements, much like an impromptu tango at a stuffy ballroom gathering, defies conventional understanding and invites contemplation.

Our findings, akin to stumbling upon a hidden treasure map in a dusty attic, not only surprise but also intrigue, prompting us to consider the intricate connections that bridge apparent disparities. The visualization of this robust correlation in Fig. 1 is akin to witnessing a whimsical rendezvous between two unlikely companions, leaving us both bewildered and captivated.

As we close this chapter of inquiry, we assert that no further research is needed in this area. Our investigation not only highlights the unexpected relationship between air pollution and jet fuel but also underscores the vibrant unpredictability that defines our intricate world. In the realm of statistics, as in life, let us marvel at the unanticipated connections that continue to defy expectations.

No further studies are required to confirm the unexpected nature of this curious correlation.


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: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Atmospheric Anomalies Research


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: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Atmospheric Interactions and Global Aerodynamics


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: Unraveling the Unlikely Connection Between Air Pollution in Blacksburg, Virginia and Jet Fuel in Burkina Faso with an abstract of This paper seeks to shed light on the unexpected relationship between air pollution levels in Blacksburg, Virginia, and jet fuel usage in Burkina Faso. Despite the geographical distance and cultural disparities, our research uncovers a surprisingly strong correlation between these seemingly disparate factors. By harnessing data from the Environmental Protection Agency and the Energy Information Administration, we employed advanced statistical techniques to scrutinize this peculiar connection. Our analysis revealed a remarkably high correlation coefficient of 0.9189698 and a statistically significant p-value of less than 0.01 for the period spanning 1990 to 2003. The results not only raise eyebrows but also fuel further inquiries into the intertwined nature of air quality and jet fuel dynamics, proving that when it comes to global environmental influences, the sky's the limit for unexpected relationships.

ChatGPT:

air pollution, Blacksburg Virginia, jet fuel, Burkina Faso, correlation, Environmental Protection Agency, Energy Information Administration, statistical techniques, correlation coefficient, p-value, 1990-2003, air quality, global environmental influences

*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 Blacksburg, Virginia
Detailed data title: Percentage of days 'unhealthy' or worse air quality in Blacksburg-Christiansburg-Radford, VA
Source: Environmental Protection Agency
See what else correlates with Air pollution in Blacksburg, Virginia

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

Correlation r = 0.9189698 (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 = 0.8445054 (Coefficient of determination)
This means 84.5% of the change in the one variable (i.e., Jet fuel used in Burkina Faso) is predictable based on the change in the other (i.e., Air pollution in Blacksburg, Virginia) over the 14 years from 1990 through 2003.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.4E-6. 0.0000034256511352631053000000
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 0.92 in 0.00034% of random cases. Said differently, if you correlated 291,915 random variables You don't actually need 291 thousand variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 13 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 13 because we have two variables measured over a period of 14 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.

[ 0.76, 0.97 ] 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.
19901991199219931994199519961997199819992000200120022003
Air pollution in Blacksburg, Virginia (Bad air quality days)0.008310250.01111110.002770080.006514660.01162790.0041152300.005524860.03448280.0303030.00579710.002824860.01104970.00280112
Jet fuel used in Burkina Faso (Million Barrels/Day)0.20.20.20.20.20.20.30.32.62.60.2946670.467110.417140.445384




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([0.00831025,0.0111111,0.00277008,0.00651466,0.0116279,0.00411523,0,0.00552486,0.0344828,0.030303,0.0057971,0.00282486,0.0110497,0.00280112,])
array_2 = np.array([0.2,0.2,0.2,0.2,0.2,0.2,0.3,0.3,2.6,2.6,0.294667,0.46711,0.41714,0.445384,])
array_1_name = "Air pollution in Blacksburg, Virginia"
array_2_name = "Jet fuel used in Burkina Faso"

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

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



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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."

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Correlation ID: 2870 · Black Variable ID: 22159 · Red Variable ID: 24247
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