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Spurious correlation #2,082 · 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 Natchez, Mississippi and the second variable is Jet fuel used in Burkina Faso.  The chart goes from 1987 to 2011, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the air pollution in Natchez, Mississippi increased, it created a strange and unique atmospheric effect. This effect, which can only be described as the "jazzy pollution jetstream," somehow crossed continents and ended up supercharging the jet fuel used in Burkina Faso. It’s as if the pollutants were on a mission to give those jets some extra oomph, turning the skies above Burkina Faso into a high-flying, smog-powered dance party. Who knew that Natchez's pollution could be the secret ingredient for a truly uplifting jet experience in Burkina Faso?

Model: dalle-3
Prompt: Create a hyper-realistic image of Natchez, Mississippi, where the atmosphere is filled with a thick layer of pollution. In the foreground, depict the hazy air enveloping the cityscape, while in the distance, a jet takes off from a runway, leaving a trail of jet fuel exhaust behind it. The scene should capture the unsettling and dramatic effects of unhealthy air quality on the environment. 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: Unhealthy air quality in Natchez, Mississippi 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: Low poly Cybernetic art Hyper-realistic a Polaroid photo Scalar art
ChatGPT: Unhealthy air quality in Natchez, Mississippi - Hyper-realistic

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 Unhealthy air quality in Natchez, Mississippi and Jet fuel used in Burkina Faso together. Keep the description simple.
ChatGPT: In Natchez, Mississippi, the air is hazy and thick with pollution, and on the horizon, a jet takes off, leaving a trail of jet fuel exhaust behind it.

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: [ Unhealthy air quality in Natchez, Mississippi - Hyper-realistic ] and depicting this scene: In Natchez, Mississippi, the air is hazy and thick with pollution, and on the horizon, a jet takes off, leaving a trail of jet fuel exhaust behind it. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Create a hyper-realistic image of Natchez, Mississippi, where the atmosphere is filled with a thick layer of pollution. In the foreground, depict the hazy air enveloping the cityscape, while in the distance, a jet takes off from a runway, leaving a trail of jet fuel exhaust behind it. The scene should capture the unsettling and dramatic effects of unhealthy air quality on the environment.

*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 Natchez, Mississippi positively influenced Jet fuel used in Burkina Faso.

AI academic paper

(Because p < 0.01)
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

The Journal of Eclectic Atmospheric Chemistry

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 Natchez, Mississippi and Jet fuel used in Burkina Faso. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Rhyme words in the title.

Your research team used data from Environmental Protection Agency and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.7017276 and p < 0.01 for 1987 to 2011.

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]]
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

[[ABSTRACT]]
This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.


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 Natchez, Mississippi and Jet fuel used in Burkina Faso. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

[[ABSTRACT]]
This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The interconnectivity of global environmental phenomena has become an increasingly salient topic in the realm of scientific inquiry. From the smog-choked streets of metropolitan areas to the pristine air of remote locales, the dispersion of aerosols and particulate matter knows no boundaries. Our study delves into the intriguing correlation between air pollution in the charming city of Natchez, Mississippi, and the consumption of jet fuel in the far-flung land of Burkina Faso. While the association between these seemingly disparate locations may initially appear whimsical, our investigation aims to reveal the underlying link that defies geographical distance.

Natchez, with its rich historical heritage and picturesque landscapes, has not been immune to the pervasive issue of air pollution. Meanwhile, Burkina Faso, quaintly nestled in the heart of West Africa, has experienced a steady rise in global air travel and, consequently, jet fuel consumption. The confluence of these contrasting locales presents a unique opportunity to examine the consequential relationship between local aerosol levels and international aviation fuel use.

While the notion of air pollution may evoke visions of industrial chimneys and vehicular emissions, the role of jet fuel in contributing to the atmospheric haze is often overlooked. Beyond the exhaust plumes and contrails that adorn the skies, the ramifications of aviation on air quality merit closer scrutiny. As such, our research endeavors to explore this uncharted territory and unearth the nuanced associations between air pollution in Natchez and the subtle scent of jet fuel in Burkina Faso's air.

In combining data from the Environmental Protection Agency and the Energy Information Administration, we set out to unravel the intricate tapestry of atmospheric composition and jet fuel utilization. Through rigorous statistical analysis, we seek to elucidate the extent of the connection between particulate matter levels in Natchez and the soaring consumption of jet fuel in Burkina Faso over a span of two and a half decades. Our pursuit of these interconnected threads ultimately unveils a correlation coefficient that beckons attention, accompanied by a p-value that implores consideration.

By shedding light on the airborne interaction between these ostensibly incongruous settings, our findings may challenge conventional assumptions and prompt a reevaluation of the global ramifications of emissions. Moreover, this exploration serves as a testament to the multifaceted nature of environmental issues, beckoning for a comprehensive approach that transcends borders and bridges the gap between local pollution sources and distant atmospheric influences.

As we embark on our academic odyssey, the symbiotic relationship between air pollution in Natchez and the consumption of jet fuel in Burkina Faso awaits unraveling, inviting us to embrace the interconnectedness of our environmental landscape and to soar into uncharted intellectual skies.


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 Natchez, Mississippi and Jet fuel used in Burkina Faso. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then you might move on to cartoons and children's shows that you watched for research.

Here is the title and abstract of the paper:
[[TITLE]]
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

[[ABSTRACT]]
This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The interconnectivity of global environmental phenomena has become an increasingly salient topic in the realm of scientific inquiry. From the smog-choked streets of metropolitan areas to the pristine air of remote locales, the dispersion of aerosols and particulate matter knows no boundaries. Our study delves into the intriguing correlation between air pollution in the charming city of Natchez, Mississippi, and the consumption of jet fuel in the far-flung land of Burkina Faso. While the association between these seemingly disparate locations may initially appear whimsical, our investigation aims to reveal the underlying link that defies geographical distance.
Natchez, with its rich historical heritage and picturesque landscapes, has not been immune to the pervasive issue of air pollution. Meanwhile, Burkina Faso, quaintly nestled in the heart of West Africa, has experienced a steady rise in global air travel and, consequently, jet fuel consumption. The confluence of these contrasting locales presents a unique opportunity to examine the consequential relationship between local aerosol levels and international aviation fuel use.
While the notion of air pollution may evoke visions of industrial chimneys and vehicular emissions, the role of jet fuel in contributing to the atmospheric haze is often overlooked. Beyond the exhaust plumes and contrails that adorn the skies, the ramifications of aviation on air quality merit closer scrutiny. As such, our research endeavors to explore this uncharted territory and unearth the nuanced associations between air pollution in Natchez and the subtle scent of jet fuel in Burkina Faso's air.
In combining data from the Environmental Protection Agency and the Energy Information Administration, we set out to unravel the intricate tapestry of atmospheric composition and jet fuel utilization. Through rigorous statistical analysis, we seek to elucidate the extent of the connection between particulate matter levels in Natchez and the soaring consumption of jet fuel in Burkina Faso over a span of two and a half decades. Our pursuit of these interconnected threads ultimately unveils a correlation coefficient that beckons attention, accompanied by a p-value that implores consideration.
By shedding light on the airborne interaction between these ostensibly incongruous settings, our findings may challenge conventional assumptions and prompt a reevaluation of the global ramifications of emissions. Moreover, this exploration serves as a testament to the multifaceted nature of environmental issues, beckoning for a comprehensive approach that transcends borders and bridges the gap between local pollution sources and distant atmospheric influences.
As we embark on our academic odyssey, the symbiotic relationship between air pollution in Natchez and the consumption of jet fuel in Burkina Faso awaits unraveling, inviting us to embrace the interconnectedness of our environmental landscape and to soar into uncharted intellectual skies.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Smith et al. (2010) investigated the effect of aerosol dispersion in Natchez, Mississippi, and its correlation with jet fuel consumption in Burkina Faso. Their findings suggested a potential interplay between the two seemingly distant phenomena, prompting further examination. Additionally, Doe (2015) conducted a comprehensive analysis of particulate matter levels in Natchez and its relationship with international aviation fuel use. Their study offered intriguing insights into the intricate web of atmospheric composition and global jet fuel utilization.

While these scholarly works provide a solid foundation for our inquiry, it is essential to consider a broader array of literature to capture the full spectrum of influences on air quality and fuel consumption. Hence, we turn to the seminal work of "Air Pollution and Health" by Smith and Jones, which delves into the multifaceted impacts of airborne pollutants on human well-being, with a witty exploration of how "Breathe Easy" might be a misnomer in Natchez if the jet fuel from Burkina Faso is a bigger factor than previously known.

Moreover, "Energy Economics" by Doe and Peters presents an in-depth analysis of fuel consumption patterns across different regions, shedding light on the intricate dynamics of jet fuel utilization in Burkina Faso and its potential trickle-down effects on air quality elsewhere. Their exploration of global market forces and energy consumption provides a thought-provoking backdrop for our investigation, prompting us to consider the broader economic implications of the airborne exchange between Natchez and Burkina Faso. If jet fuel use is impacting air quality in Natchez, this may have implications for the Natchez economy, as tourists may seek cleaner air elsewhere and the sweet smell of jet fuel in Burkina Faso may become a new tourist attraction.

Venturing into the realm of fiction, "Cloud Atlas" by David Mitchell offers a kaleidoscopic narrative that traverses time and space, much like the aerosols drifting from Natchez to Burkina Faso. The interwoven tales of interconnected lives in this novel serve as a poignant metaphor for the invisible tendrils of air pollution and jet fuel consumption that bind these distant locales. Additionally, "Up in the Air" by Walter Kirn presents a satirical exploration of air travel culture and its environmental footprint, unveiling the absurdities of jet-setting lifestyles against the backdrop of our investigation into the transcontinental exchange of airborne substances. These fiction selections offer a whimsical lens through which to contemplate the unassuming connection between Natchez and Burkina Faso, as we ponder the unforeseen parallels between fictional narratives and our empirical findings.

In a lighthearted departure from traditional scholarly sources, we draw inspiration from "The Magic School Bus" and "Captain Planet," both of which imparted invaluable lessons on environmental science during our formative years. While these animated series may not directly address the specific juxtaposition of air pollution in Natchez and jet fuel consumption in Burkina Faso, their imaginative narratives serve as a reminder of the interdependent nature of the global ecosystem, reminding us to approach our research with a spirit of curiosity and wonder. Because after all, who says academic research can't be infused with a dash of whimsy and nostalgia for childhood TV shows?


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 Natchez, Mississippi and Jet fuel used in Burkina Faso. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 1987 to 2011

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]]
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

[[ABSTRACT]]
This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.

[[INTRODUCTION]]
The interconnectivity of global environmental phenomena has become an increasingly salient topic in the realm of scientific inquiry. From the smog-choked streets of metropolitan areas to the pristine air of remote locales, the dispersion of aerosols and particulate matter knows no boundaries. Our study delves into the intriguing correlation between air pollution in the charming city of Natchez, Mississippi, and the consumption of jet fuel in the far-flung land of Burkina Faso. While the association between these seemingly disparate locations may initially appear whimsical, our investigation aims to reveal the underlying link that defies geographical distance.
Natchez, with its rich historical heritage and picturesque landscapes, has not been immune to the pervasive issue of air pollution. Meanwhile, Burkina Faso, quaintly nestled in the heart of West Africa, has experienced a steady rise in global air travel and, consequently, jet fuel consumption. The confluence of these contrasting locales presents a unique opportunity to examine the consequential relationship between local aerosol levels and international aviation fuel use.
While the notion of air pollution may evoke visions of industrial chimneys and vehicular emissions, the role of jet fuel in contributing to the atmospheric haze is often overlooked. Beyond the exhaust plumes and contrails that adorn the skies, the ramifications of aviation on air quality merit closer scrutiny. As such, our research endeavors to explore this uncharted territory and unearth the nuanced associations between air pollution in Natchez and the subtle scent of jet fuel in Burkina Faso's air.
In combining data from the Environmental Protection Agency and the Energy Information Administration, we set out to unravel the intricate tapestry of atmospheric composition and jet fuel utilization. Through rigorous statistical analysis, we seek to elucidate the extent of the connection between particulate matter levels in Natchez and the soaring consumption of jet fuel in Burkina Faso over a span of two and a half decades. Our pursuit of these interconnected threads ultimately unveils a correlation coefficient that beckons attention, accompanied by a p-value that implores consideration.
By shedding light on the airborne interaction between these ostensibly incongruous settings, our findings may challenge conventional assumptions and prompt a reevaluation of the global ramifications of emissions. Moreover, this exploration serves as a testament to the multifaceted nature of environmental issues, beckoning for a comprehensive approach that transcends borders and bridges the gap between local pollution sources and distant atmospheric influences.
As we embark on our academic odyssey, the symbiotic relationship between air pollution in Natchez and the consumption of jet fuel in Burkina Faso awaits unraveling, inviting us to embrace the interconnectedness of our environmental landscape and to soar into uncharted intellectual skies.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

In this section, the methodology used to investigate the connection between air pollution in Natchez, Mississippi and jet fuel consumption in Burkina Faso is detailed. The primary sources of data include the Environmental Protection Agency (EPA) and the Energy Information Administration (EIA). The selection of these sources was driven by their comprehensive coverage of air quality and energy consumption data, as well as the undeniable allure of government-mandated statistical record-keeping. The dataset spans from 1987 to 2011, capturing the subtle nuances of change over time and allowing for a robust analysis of the interplay between airborne particles and the unassuming aroma of jet fuel on the West African breeze.

To commence our investigation, the first step involved the procurement and curation of air pollution data for Natchez, Mississippi. Particulate matter levels, ubiquitous in their ubiquity, were sourced from the EPA's online repository, invoking an air of supreme confidence in their reliability. The daily average concentrations of PM2.5 and PM10, encapsulated in the cyber embrace of numerical spreadsheets, constituted the fundamental building blocks of our analysis. Concurrently, the consumption of jet fuel in Burkina Faso, a realm often overshadowed by more exalted statistical endeavors, was gleaned from the watchful gaze of the EIA's global energy consumption databases, navigating the mercurial currents of online information to secure a trove of consumption statistics.

The process of data compilation bore semblance to a culinary expedition, blending precise measurements with an unyielding commitment to data integrity. Once the delectable datasets were amassed, they underwent a meticulous scrutiny for accuracy and completeness, mirroring the culinary practice of sifting through ingredients for the choicest selection. Any aberrations or anomalies that dared to intrude upon the sanctity of our dataset were promptly exiled, "Pellagra-like," from our assemblage, ensuring the invocation of robustness and reliability in our subsequent analyses.

Subsequently, to assess the correlation between air pollution in Natchez and jet fuel usage in Burkina Faso, a series of statistical techniques were employed, prompted not only by academic necessity but also by an undeniable inclination towards numerical sorcery. The Pearson correlation coefficient was invoked to quantify the strength and direction of the relationship, channeling the formidable spirits of covariance and variance with scholarly gravitas. An ensemble cast of scatter plots and regression analyses played their parts in elucidating the intertwined dance of particulate matter levels and jet fuel consumption, weaving a narrative that resonated with the statistical sensibilities inherent in the expanse of our dataset.

Importantly, the p-value, that venerable arbitrator of statistical significance, made a cameo appearance, casting its critical gaze upon the correlation coefficient and beckoning the inference of meaningful associations. Through the adept manipulation of these statistical tools, a robust evaluation of the connection between air pollution in Natchez and the consumption of jet fuel in Burkina Faso was realized, offering insights that transcended the mundane world of raw data and leading us to the precipice of scholarly enlightenment.


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 Natchez, Mississippi and Jet fuel used in Burkina Faso. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 1987 to 2011, you found a correlation 0.7017276, r-squared of 0.4924216, 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]]
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

[[ABSTRACT]]
This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The interconnectivity of global environmental phenomena has become an increasingly salient topic in the realm of scientific inquiry. From the smog-choked streets of metropolitan areas to the pristine air of remote locales, the dispersion of aerosols and particulate matter knows no boundaries. Our study delves into the intriguing correlation between air pollution in the charming city of Natchez, Mississippi, and the consumption of jet fuel in the far-flung land of Burkina Faso. While the association between these seemingly disparate locations may initially appear whimsical, our investigation aims to reveal the underlying link that defies geographical distance.
Natchez, with its rich historical heritage and picturesque landscapes, has not been immune to the pervasive issue of air pollution. Meanwhile, Burkina Faso, quaintly nestled in the heart of West Africa, has experienced a steady rise in global air travel and, consequently, jet fuel consumption. The confluence of these contrasting locales presents a unique opportunity to examine the consequential relationship between local aerosol levels and international aviation fuel use.
While the notion of air pollution may evoke visions of industrial chimneys and vehicular emissions, the role of jet fuel in contributing to the atmospheric haze is often overlooked. Beyond the exhaust plumes and contrails that adorn the skies, the ramifications of aviation on air quality merit closer scrutiny. As such, our research endeavors to explore this uncharted territory and unearth the nuanced associations between air pollution in Natchez and the subtle scent of jet fuel in Burkina Faso's air.
In combining data from the Environmental Protection Agency and the Energy Information Administration, we set out to unravel the intricate tapestry of atmospheric composition and jet fuel utilization. Through rigorous statistical analysis, we seek to elucidate the extent of the connection between particulate matter levels in Natchez and the soaring consumption of jet fuel in Burkina Faso over a span of two and a half decades. Our pursuit of these interconnected threads ultimately unveils a correlation coefficient that beckons attention, accompanied by a p-value that implores consideration.
By shedding light on the airborne interaction between these ostensibly incongruous settings, our findings may challenge conventional assumptions and prompt a reevaluation of the global ramifications of emissions. Moreover, this exploration serves as a testament to the multifaceted nature of environmental issues, beckoning for a comprehensive approach that transcends borders and bridges the gap between local pollution sources and distant atmospheric influences.
As we embark on our academic odyssey, the symbiotic relationship between air pollution in Natchez and the consumption of jet fuel in Burkina Faso awaits unraveling, inviting us to embrace the interconnectedness of our environmental landscape and to soar into uncharted intellectual skies.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the data gathered from the Environmental Protection Agency and the Energy Information Administration revealed a strong positive correlation between particulate matter levels in Natchez, Mississippi, and jet fuel usage in Burkina Faso from 1987 to 2011. The correlation coefficient of 0.7017276 indicated a robust relationship between these seemingly distant variables, capturing the attention of both statistical and aeronautical enthusiasts alike.

Further analysis unveiled an r-squared value of 0.4924216, suggesting that approximately 49.24% of the variability in particulate matter levels in Natchez could be explained by the consumption of jet fuel in Burkina Faso. Such a substantial proportion of explained variance raises eyebrows and invites further inquiry into the dynamics of airborne interplay between these unexpected counterparts.

The p-value being less than 0.01 added an extra layer of confidence to these findings, indicating that the observed correlation was not a product of mere chance. Remarkably, the statistical harmony between air pollution in Natchez and the utilization of jet fuel in Burkina Faso persisted even in the face of geographical separation, defying traditional expectations with an air of intrigue and whimsy.

Illustrating this compelling association, Figure 1 depicts a scatterplot illustrating the compelling relationship between particulate matter levels in Natchez and jet fuel usage in Burkina Faso. The figure visually captures the strong connection between these variables, serving as a graphic testament to the intertwined fate of seemingly disparate locales.

Overall, these findings underscore the need for a more holistic approach to air quality management, one that recognizes the far-reaching implications of emissions and takes into account the high-flying world of jet fuel consumption. This study may prompt a reevaluation of our understanding of the global impact of emissions and invites us to reflect on the intricate web of interactions that shape our atmospheric landscape.


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 Natchez, Mississippi and Jet fuel used in Burkina Faso. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

[[ABSTRACT]]
This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.

[[LITERATURE REVIEW]]
Smith et al. (2010) investigated the effect of aerosol dispersion in Natchez, Mississippi, and its correlation with jet fuel consumption in Burkina Faso. Their findings suggested a potential interplay between the two seemingly distant phenomena, prompting further examination. Additionally, Doe (2015) conducted a comprehensive analysis of particulate matter levels in Natchez and its relationship with international aviation fuel use. Their study offered intriguing insights into the intricate web of atmospheric composition and global jet fuel utilization.
While these scholarly works provide a solid foundation for our inquiry, it is essential to consider a broader array of literature to capture the full spectrum of influences on air quality and fuel consumption. Hence, we turn to the seminal work of "Air Pollution and Health" by Smith and Jones, which delves into the multifaceted impacts of airborne pollutants on human well-being, with a witty exploration of how "Breathe Easy" might be a misnomer in Natchez if the jet fuel from Burkina Faso is a bigger factor than previously known.
Moreover, "Energy Economics" by Doe and Peters presents an in-depth analysis of fuel consumption patterns across different regions, shedding light on the intricate dynamics of jet fuel utilization in Burkina Faso and its potential trickle-down effects on air quality elsewhere. Their exploration of global market forces and energy consumption provides a thought-provoking backdrop for our investigation, prompting us to consider the broader economic implications of the airborne exchange between Natchez and Burkina Faso. If jet fuel use is impacting air quality in Natchez, this may have implications for the Natchez economy, as tourists may seek cleaner air elsewhere and the sweet smell of jet fuel in Burkina Faso may become a new tourist attraction.
Venturing into the realm of fiction, "Cloud Atlas" by David Mitchell offers a kaleidoscopic narrative that traverses time and space, much like the aerosols drifting from Natchez to Burkina Faso. The interwoven tales of interconnected lives in this novel serve as a poignant metaphor for the invisible tendrils of air pollution and jet fuel consumption that bind these distant locales. Additionally, "Up in the Air" by Walter Kirn presents a satirical exploration of air travel culture and its environmental footprint, unveiling the absurdities of jet-setting lifestyles against the backdrop of our investigation into the transcontinental exchange of airborne substances. These fiction selections offer a whimsical lens through which to contemplate the unassuming connection between Natchez and Burkina Faso, as we ponder the unforeseen parallels between fictional narratives and our empirical findings.
In a lighthearted departure from traditional scholarly sources, we draw inspiration from "The Magic School Bus" and "Captain Planet," both of which imparted invaluable lessons on environmental science during our formative years. While these animated series may not directly address the specific juxtaposition of air pollution in Natchez and jet fuel consumption in Burkina Faso, their imaginative narratives serve as a reminder of the interdependent nature of the global ecosystem, reminding us to approach our research with a spirit of curiosity and wonder. Because after all, who says academic research can't be infused with a dash of whimsy and nostalgia for childhood TV shows?

[[RESULTS]]
The analysis of the data gathered from the Environmental Protection Agency and the Energy Information Administration revealed a strong positive correlation between particulate matter levels in Natchez, Mississippi, and jet fuel usage in Burkina Faso from 1987 to 2011. The correlation coefficient of 0.7017276 indicated a robust relationship between these seemingly distant variables, capturing the attention of both statistical and aeronautical enthusiasts alike.
Further analysis unveiled an r-squared value of 0.4924216, suggesting that approximately 49.24% of the variability in particulate matter levels in Natchez could be explained by the consumption of jet fuel in Burkina Faso. Such a substantial proportion of explained variance raises eyebrows and invites further inquiry into the dynamics of airborne interplay between these unexpected counterparts.
The p-value being less than 0.01 added an extra layer of confidence to these findings, indicating that the observed correlation was not a product of mere chance. Remarkably, the statistical harmony between air pollution in Natchez and the utilization of jet fuel in Burkina Faso persisted even in the face of geographical separation, defying traditional expectations with an air of intrigue and whimsy.
Illustrating this compelling association, Figure 1 depicts a scatterplot illustrating the compelling relationship between particulate matter levels in Natchez and jet fuel usage in Burkina Faso. The figure visually captures the strong connection between these variables, serving as a graphic testament to the intertwined fate of seemingly disparate locales.
Overall, these findings underscore the need for a more holistic approach to air quality management, one that recognizes the far-reaching implications of emissions and takes into account the high-flying world of jet fuel consumption. This study may prompt a reevaluation of our understanding of the global impact of emissions and invites us to reflect on the intricate web of interactions that shape our atmospheric landscape.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study provide compelling evidence supporting the notion that there is a significant correlation between air pollution in Natchez, Mississippi, and the consumption of jet fuel in Burkina Faso. This unexpected linkage, while initially met with skepticism, has proven to be statistically robust, with a correlation coefficient of 0.7017276 and a p-value less than 0.01. These findings build upon the work of Smith et al. (2010) and Doe (2015), who first hinted at the potential interplay between these seemingly disparate phenomena. While their earlier investigations may have raised eyebrows, our study solidifies the assertion that the airborne exchange between Natchez and Burkina Faso is not merely a flight of fancy. In fact, it seems our research has taken flight in an entirely unexpected direction, resembling a jet-setting journey through the uncharted territory of atmospheric interconnectivity.

The substantial r-squared value of 0.4924216 further bolsters the significance of our findings, indicating that nearly 50% of the variability in particulate matter levels in Natchez can indeed be attributed to the consumption of jet fuel in Burkina Faso. This proportion is more than just a drop in the ocean – it is a substantial chunk of the airborne puzzle, revealing the intricate balance between seemingly distant phenomena. Such a substantial explanatory power suggests that the aerosols wafting from Natchez may be more than just passive drifters in the atmospheric current, but rather dynamic messengers of a transcontinental tale yet to be fully unraveled.

The plot thickens as we ponder the implications of these findings on a broader scale. The connection between air pollution in Natchez and jet fuel usage in Burkina Faso may not merely be an isolated phenomenon but could signal a web of global implications, extending far beyond borders and into the skies above. Indeed, our research hints at a parallel universe of atmospheric interplay, where particulate matter and jet fuel form a cosmic dance, defying traditional boundaries and confounding conventional expectations. As we contemplate the atmospheric tango between Natchez and Burkina Faso, it becomes increasingly clear that the intricate choreography of air quality management requires a more comprehensive playbook, one that accounts for the unanticipated leaps and bounds of far-reaching airborne relationships.

Furthermore, the statistical harmony between these unexpected bedfellows bears testament to the unassuming yet undeniable connection between Natchez and Burkina Faso, urging us to discard preconceived geographical distance and embrace the intertwined fate of these seemingly isolated locales. Could it be that the air we breathe in Natchez carries a subtle hint of the high-flying life in Burkina Faso, weaving a tale of atmospheric resonance that transcends physical boundaries? Our findings seem to suggest so, steering our academic journey into the uncharted territory of airborne intrigue and transcontinental air whispers. Indeed, as we navigate the atmospheric labyrinth between Natchez and Burkina Faso, we are reminded that the sky is not merely a vast expanse of emptiness but a boundless canvas painted with the intricate brushstrokes of airborne interplay.

In conclusion, our study invites us to ponder the unforeseen parallels between distant locales and the unassuming connections that shape our atmospheric landscape. These findings urge us to embrace a more holistic approach to air quality management, one that recognizes the far-reaching implications of emissions and delves into the whimsical realm of jet fuel whispers and airborne interplay. As we depart from the familiar ground of traditional air quality research, may we carry with us the spirit of curiosity and wonder, for the tendrils of atmospheric connectivity may lead us to destinations yet to be explored.


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 Natchez, Mississippi and Jet fuel used in Burkina Faso. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
Noble Natchez: Aerosol Connection with Burkina Faso Petrol

[[ABSTRACT]]
This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.

[[INTRDUCTION]]
The interconnectivity of global environmental phenomena has become an increasingly salient topic in the realm of scientific inquiry. From the smog-choked streets of metropolitan areas to the pristine air of remote locales, the dispersion of aerosols and particulate matter knows no boundaries. Our study delves into the intriguing correlation between air pollution in the charming city of Natchez, Mississippi, and the consumption of jet fuel in the far-flung land of Burkina Faso. While the association between these seemingly disparate locations may initially appear whimsical, our investigation aims to reveal the underlying link that defies geographical distance.
Natchez, with its rich historical heritage and picturesque landscapes, has not been immune to the pervasive issue of air pollution. Meanwhile, Burkina Faso, quaintly nestled in the heart of West Africa, has experienced a steady rise in global air travel and, consequently, jet fuel consumption. The confluence of these contrasting locales presents a unique opportunity to examine the consequential relationship between local aerosol levels and international aviation fuel use.
While the notion of air pollution may evoke visions of industrial chimneys and vehicular emissions, the role of jet fuel in contributing to the atmospheric haze is often overlooked. Beyond the exhaust plumes and contrails that adorn the skies, the ramifications of aviation on air quality merit closer scrutiny. As such, our research endeavors to explore this uncharted territory and unearth the nuanced associations between air pollution in Natchez and the subtle scent of jet fuel in Burkina Faso's air.
In combining data from the Environmental Protection Agency and the Energy Information Administration, we set out to unravel the intricate tapestry of atmospheric composition and jet fuel utilization. Through rigorous statistical analysis, we seek to elucidate the extent of the connection between particulate matter levels in Natchez and the soaring consumption of jet fuel in Burkina Faso over a span of two and a half decades. Our pursuit of these interconnected threads ultimately unveils a correlation coefficient that beckons attention, accompanied by a p-value that implores consideration.
By shedding light on the airborne interaction between these ostensibly incongruous settings, our findings may challenge conventional assumptions and prompt a reevaluation of the global ramifications of emissions. Moreover, this exploration serves as a testament to the multifaceted nature of environmental issues, beckoning for a comprehensive approach that transcends borders and bridges the gap between local pollution sources and distant atmospheric influences.
As we embark on our academic odyssey, the symbiotic relationship between air pollution in Natchez and the consumption of jet fuel in Burkina Faso awaits unraveling, inviting us to embrace the interconnectedness of our environmental landscape and to soar into uncharted intellectual skies.

[[RESULTS]]
The analysis of the data gathered from the Environmental Protection Agency and the Energy Information Administration revealed a strong positive correlation between particulate matter levels in Natchez, Mississippi, and jet fuel usage in Burkina Faso from 1987 to 2011. The correlation coefficient of 0.7017276 indicated a robust relationship between these seemingly distant variables, capturing the attention of both statistical and aeronautical enthusiasts alike.
Further analysis unveiled an r-squared value of 0.4924216, suggesting that approximately 49.24% of the variability in particulate matter levels in Natchez could be explained by the consumption of jet fuel in Burkina Faso. Such a substantial proportion of explained variance raises eyebrows and invites further inquiry into the dynamics of airborne interplay between these unexpected counterparts.
The p-value being less than 0.01 added an extra layer of confidence to these findings, indicating that the observed correlation was not a product of mere chance. Remarkably, the statistical harmony between air pollution in Natchez and the utilization of jet fuel in Burkina Faso persisted even in the face of geographical separation, defying traditional expectations with an air of intrigue and whimsy.
Illustrating this compelling association, Figure 1 depicts a scatterplot illustrating the compelling relationship between particulate matter levels in Natchez and jet fuel usage in Burkina Faso. The figure visually captures the strong connection between these variables, serving as a graphic testament to the intertwined fate of seemingly disparate locales.
Overall, these findings underscore the need for a more holistic approach to air quality management, one that recognizes the far-reaching implications of emissions and takes into account the high-flying world of jet fuel consumption. This study may prompt a reevaluation of our understanding of the global impact of emissions and invites us to reflect on the intricate web of interactions that shape our atmospheric landscape.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unearthed a compelling correlation between air pollution in Natchez, Mississippi, and the consumption of jet fuel in Burkina Faso. The robust correlation coefficient and the perplexingly low p-value leave little room for doubt regarding the statistical association between these seemingly discordant variables. This unexpected connection highlights the intricate interplay of atmospheric influences, transcending geographical barriers with the finesse of a skilled tightrope walker. It's as if the invisible hand of science has orchestrated a whimsical dance between the jet streams and the Mississippi breezes, culminating in a statistician's delight and an aeronautical oddity.

The r-squared value, dangling around the 50% mark like a tantalizing carrot, beckons further exploration into the dynamics of this airborne romance. The scatterplot, akin to a visual love letter between Natchez and Burkina Faso, conveys the narrative of their intertwined fate with the elegance of a Shakespearean sonnet. It's a tale of statistical significance and airborne serendipity, inviting us to ponder the cosmic dance of atmospheric particles and jet fuel molecules with a mix of awe and amusement.

With these findings, we assert that no further research is required in this area. The mysteries of the heavens and the earthly emissions have been laid bare, leaving us to marvel at the statistical symphony that accompanies the aerial waltz between Natchez and Burkina Faso.

As such, we bid adieu to this captivating conundrum, content in the knowledge that while the skies may hold many secrets, the statistical ties between far-flung locales and their atmospheric emissions have been diligently untangled.


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 Noble Natchez: Aerosol Connection with Burkina Faso Petrol. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Eclectic Atmospheric Chemistry


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 Noble Natchez: Aerosol Connection with Burkina Faso Petrol. Respond only with the name of a fictional organization.

ChatGPT:

Intergalactic Institute for Advanced Nonsense Studies


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 Noble Natchez: Aerosol Connection with Burkina Faso Petrol with an abstract of This paper investigates the possible link between air pollution in Natchez, Mississippi and the consumption of jet fuel in Burkina Faso. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, we analyze the correlation between particulate matter levels in Natchez and jet fuel usage in Burkina Faso from 1987 to 2011. The results reveal a correlation coefficient of 0.7017276, with a p-value less than 0.01, suggesting a strong statistical association. Our findings may shed light on the airborne interplay between seemingly distant locales and could prompt a reevaluation of the global impact of emissions. This research underscores the need for a holistic approach to air quality management, one that extends well beyond borders and into the high-flying world of jet fuel consumption.

ChatGPT:

Natchez air pollution, Burkina Faso jet fuel, air pollution correlation, particulate matter levels, Natchez Mississippi, jet fuel usage, global emissions impact, air quality management, environmental protection agency data, energy information administration data, aerosol connection, global air pollution, high-flying emissions

*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 Natchez, Mississippi
Detailed data title: Percentage of days with air quality at 'unhealthy for sensitive groups' or worse in Natchez, MS-LA
Source: Environmental Protection Agency
See what else correlates with Air pollution in Natchez, Mississippi

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 = 0.7017276 (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 = 0.4924216 (Coefficient of determination)
This means 49.2% 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 Natchez, Mississippi) over the 25 years from 1987 through 2011.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 9.3E-5. 0.0000926857401938229800000000
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 0.7 in 0.0093% of random cases. Said differently, if you correlated 10,789 random variables Which I absolutely did.
with the same 24 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 24 because we have two variables measured over a period of 25 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.

[ 0.42, 0.86 ] 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.
1987198819891990199119921993199419951996199719981999200020012002200320042005200620072008200920102011
Air pollution in Natchez, Mississippi (Bad air quality days)0.03529410.07089550.007434940.007299270.01107010.01515150.0293040.01454550.04214560.06530610.05853660.1692310.1563790.1209960.03237410.01785710.07526880.01428570.03521130.03859650.0142857000.003533570.00574713
Jet fuel used in Burkina Faso (Million Barrels/Day)0.20.20.20.20.20.20.20.20.20.30.32.62.60.2946670.467110.417140.4453840.34450.4388660.5996380.4544870.50050.6118480.755370.890615




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([0.0352941,0.0708955,0.00743494,0.00729927,0.0110701,0.0151515,0.029304,0.0145455,0.0421456,0.0653061,0.0585366,0.169231,0.156379,0.120996,0.0323741,0.0178571,0.0752688,0.0142857,0.0352113,0.0385965,0.0142857,0,0,0.00353357,0.00574713,])
array_2 = np.array([0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.2,0.3,0.3,2.6,2.6,0.294667,0.46711,0.41714,0.445384,0.3445,0.438866,0.599638,0.454487,0.5005,0.611848,0.75537,0.890615,])
array_1_name = "Air pollution in Natchez, Mississippi"
array_2_name = "Jet fuel used in Burkina Faso"

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

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



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Correlation ID: 2082 · Black Variable ID: 21951 · Red Variable ID: 24247
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