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Spurious correlation #2,671 · 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 Bend, Oregon and the second variable is Jet fuel used in Eswatini.  The chart goes from 2001 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The air pollution in Bend, Oregon created a localized disruption in the Earth's atmosphere, leading to a chain reaction that somehow ended with a surge in jet fuel production and usage in Eswatini. This unexpected connection has even baffled the most renowned environmental scientists, who now believe that the skies may just have a quirky sense of interconnectedness. It's like the butterfly effect, but with a hint of aviation fuel and a whole lot of head-scratching.

Model: dalle-3
Prompt: Prompt: Generate an image of a cyberpunk city scene with elements from Bend, Oregon and Eswatini. In the foreground, show a bustling street in Bend with diverse people and fresh air. In the background, portray a futuristic airport in Eswatini with jet planes ready for departure. Use vibrant colors and incorporate a butterfly with reflective wings flying across the scene. Emphasize a blend of nature and technology with a cyberpunk aesthetic. 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 Bend, Oregon and Jet fuel used in Eswatini. 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: Oragami Cyberpunk Celtic art Vaporwave 3D Pixar Style
ChatGPT: Cyberpunk

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 Bend, Oregon and Jet fuel used in Eswatini, in the following situation: As air pollution in Bend, Oregon decreased, it caused a butterfly effect leading to a surge in demand for jet fuel in Eswatini. The cleaner air inspired people to travel more, creating a "jet-setter" culture and fueling the demand for, well, fuel! The connection is simply plane to see!. Keep the description simple.
ChatGPT: In a bustling city in Bend, Oregon, a clear blue sky fills the horizon as the air pollution decreases. The streets are filled with people enjoying the fresh air, and a butterfly flutters by, its delicate wings reflecting the sunlight. Meanwhile, in Eswatini, a line of jet planes stands at the airport, ready to take off. A group of excited travelers stand in line, eager to embark on their next adventure, fueling the demand for jet fuel as they embrace a new "jet-setter" culture.

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: [ Cyberpunk ] and depicting this scene: In a bustling city in Bend, Oregon, a clear blue sky fills the horizon as the air pollution decreases. The streets are filled with people enjoying the fresh air, and a butterfly flutters by, its delicate wings reflecting the sunlight. Meanwhile, in Eswatini, a line of jet planes stands at the airport, ready to take off. A group of excited travelers stand in line, eager to embark on their next adventure, fueling the demand for jet fuel as they embrace a new "jet-setter" culture. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image of a cyberpunk city scene with elements from Bend, Oregon and Eswatini. In the foreground, show a bustling street in Bend with diverse people and fresh air. In the background, portray a futuristic airport in Eswatini with jet planes ready for departure. Use vibrant colors and incorporate a butterfly with reflective wings flying across the scene. Emphasize a blend of nature and technology with a cyberpunk aesthetic.

*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 an increase in Air pollution in Bend, Oregon caused Jet fuel used in Eswatini to increase.

AI academic paper

(Because p < 0.01)
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

The Journal of Atmospheric Chaos and Global Connections

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 silly researcher writing an academic paper.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 Bend, Oregon and Jet fuel used in Eswatini. 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 0.6959355 and p < 0.01 for 2001 to 2021.

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]]
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

[[ABSTRACT]]
Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 Bend, Oregon and Jet fuel used in Eswatini. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

[[ABSTRACT]]
Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
Ah, the tantalizing tango of air quality and jet fuel, two seemingly disparate entities, dancing in the realm of environmental impact. In the air pollution waltz of Bend, Oregon, and the jet fuel cha-cha of Eswatini, little did we expect to stumble upon a harmonious connection that left us pondering the mysteries of our interconnected world.

As researchers, we are constantly inspired by the unexpected relationships that emerge when we dive into the depths of data and statistics, although we rarely expect to encounter a pairing as curious as this one. With furrowed brows and the anticipation of an unexpected plot twist, we embarked on a journey to explore whether the environmental footprints of these two regions might be linked by an invisible thread—much like a suspenseful whodunit plot, but with aerosol particles and aviation fuel as our prime suspects.

Drawing from the vast archives of the Environmental Protection Agency and the Energy Information Administration, we endeavored to piece together a tale of air quality and jet propulsion, aiming to illuminate the potential impacts of jet fuel usage on the serene skies of Bend, Oregon. Our delving into the depths of data yielded unexpected treasures, divulging a correlation coefficient that not only raised our eyebrows but also prompted a stir of excitement among the research team—much like discovering a hidden treasure trove amidst a sea of statistical uncertainty and data analysis protocols.

Our paper is not just a mere exploration of statistical connections; it is a journey that traverses the realms of environmental science, geography, and aviation, lending an air of adventure to the otherwise dry landscape of academic research. As we uncovered the entwined fates of air pollution in Bend and jet fuel usage in Eswatini, we were entranced by the unexpected symphony of variables and the melody of correlations that sang out to us from the depths of our data sets.

So, join us as we unravel the enigma of this seemingly whimsical linkage, exploring the captivating intersection between environmental phenomena and the swift wings of aviation. As we elevate our understanding of the intricate dance between skies and jet fuels, we invite you to venture with us, soaring through the clouds of scientific discovery and perhaps stumbling upon a dash of amusement along the way.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 Bend, Oregon and Jet fuel used in Eswatini. 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 name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

[[ABSTRACT]]
Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Ah, the tantalizing tango of air quality and jet fuel, two seemingly disparate entities, dancing in the realm of environmental impact. In the air pollution waltz of Bend, Oregon, and the jet fuel cha-cha of Eswatini, little did we expect to stumble upon a harmonious connection that left us pondering the mysteries of our interconnected world.
As researchers, we are constantly inspired by the unexpected relationships that emerge when we dive into the depths of data and statistics, although we rarely expect to encounter a pairing as curious as this one. With furrowed brows and the anticipation of an unexpected plot twist, we embarked on a journey to explore whether the environmental footprints of these two regions might be linked by an invisible thread—much like a suspenseful whodunit plot, but with aerosol particles and aviation fuel as our prime suspects.
Drawing from the vast archives of the Environmental Protection Agency and the Energy Information Administration, we endeavored to piece together a tale of air quality and jet propulsion, aiming to illuminate the potential impacts of jet fuel usage on the serene skies of Bend, Oregon. Our delving into the depths of data yielded unexpected treasures, divulging a correlation coefficient that not only raised our eyebrows but also prompted a stir of excitement among the research team—much like discovering a hidden treasure trove amidst a sea of statistical uncertainty and data analysis protocols.
Our paper is not just a mere exploration of statistical connections; it is a journey that traverses the realms of environmental science, geography, and aviation, lending an air of adventure to the otherwise dry landscape of academic research. As we uncovered the entwined fates of air pollution in Bend and jet fuel usage in Eswatini, we were entranced by the unexpected symphony of variables and the melody of correlations that sang out to us from the depths of our data sets.
So, join us as we unravel the enigma of this seemingly whimsical linkage, exploring the captivating intersection between environmental phenomena and the swift wings of aviation. As we elevate our understanding of the intricate dance between skies and jet fuels, we invite you to venture with us, soaring through the clouds of scientific discovery and perhaps stumbling upon a dash of amusement along the way.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "Environmental Impacts of Air Pollution in Urban Areas," Smith and Doe extensively examine the detrimental effects of air pollution on urban communities, emphasizing the health implications and environmental degradation associated with high levels of particulate matter and nitrogen dioxide. Similarly, Jones et al., in "Jet Fuel Utilization and Environmental Concerns," delve into the complex relationship between jet fuel consumption and its impact on air quality, highlighting the significance of aviation emissions in contributing to atmospheric pollution. These works provide a comprehensive understanding of the individual aspects of air pollution and jet fuel usage, setting the stage for our investigation into the potential link between the two seemingly incongruous phenomena.

Shifting our focus to the realm of non-fiction publications, "The Air We Breathe: A Journey into Urban Air Pollution" by Doe and Smith presents a detailed exploration of air quality in urban settings, delving into the sources of pollution and their implications for public health and the environment. Moreover, "Wings of Change: A Global Perspective on Aviation Fuels" by Jones offers a comprehensive analysis of aviation fuels and their environmental impacts, shedding light on the intricate web of factors influencing air quality in the vicinity of airports and flight paths.

On a more whimsical note, the fiction novel "Flight of the Particles" by J.K. Airling captures the enchanting tale of anthropomorphic aerosol particles navigating through a world of atmospheric adventures, providing a lighthearted perspective on the subtleties of air pollution and its consequences. Furthermore, "The Bend Connection" by E. Swatini intricately weaves a narrative set in the charming town of Bend, Oregon, intertwining elements of mystery, aviation, and environmental intrigue into a captivating story that mirrors the unique blend of our research endeavors.

In the realm of cinematic entertainment, the movie "Up in the Air Pollution" offers a satirical take on the challenges of environmental conservation in the face of burgeoning jet fuel consumption, infusing humor and poignant commentary into the portrayal of airborne pollutants and their impact on diverse landscapes. Similarly, "Bend and the Jet Setters" provides a fictional yet whimsically insightful portrayal of the eccentric interactions between air pollution in Bend and the high-flying world of jet fuel utilization, delivering an unexpected twist of comedic relief amidst the complexities of environmental research.

As we navigate through this literature, we find ourselves straddling the line between empirical analysis and unexpected narratives, where serious inquiry collides with lighthearted whimsy. These diverse sources not only inform our exploration of the environmental ties between Bend, Oregon, and Eswatini but also infuse an element of amusement into our scholarly pursuit, inviting us to embrace the quirky intricacies of our research landscape.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 Bend, Oregon and Jet fuel used in Eswatini. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Energy Information Administration . You used data from 2001 to 2021

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]]
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

[[ABSTRACT]]
Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.

[[INTRODUCTION]]
Ah, the tantalizing tango of air quality and jet fuel, two seemingly disparate entities, dancing in the realm of environmental impact. In the air pollution waltz of Bend, Oregon, and the jet fuel cha-cha of Eswatini, little did we expect to stumble upon a harmonious connection that left us pondering the mysteries of our interconnected world.
As researchers, we are constantly inspired by the unexpected relationships that emerge when we dive into the depths of data and statistics, although we rarely expect to encounter a pairing as curious as this one. With furrowed brows and the anticipation of an unexpected plot twist, we embarked on a journey to explore whether the environmental footprints of these two regions might be linked by an invisible thread—much like a suspenseful whodunit plot, but with aerosol particles and aviation fuel as our prime suspects.
Drawing from the vast archives of the Environmental Protection Agency and the Energy Information Administration, we endeavored to piece together a tale of air quality and jet propulsion, aiming to illuminate the potential impacts of jet fuel usage on the serene skies of Bend, Oregon. Our delving into the depths of data yielded unexpected treasures, divulging a correlation coefficient that not only raised our eyebrows but also prompted a stir of excitement among the research team—much like discovering a hidden treasure trove amidst a sea of statistical uncertainty and data analysis protocols.
Our paper is not just a mere exploration of statistical connections; it is a journey that traverses the realms of environmental science, geography, and aviation, lending an air of adventure to the otherwise dry landscape of academic research. As we uncovered the entwined fates of air pollution in Bend and jet fuel usage in Eswatini, we were entranced by the unexpected symphony of variables and the melody of correlations that sang out to us from the depths of our data sets.
So, join us as we unravel the enigma of this seemingly whimsical linkage, exploring the captivating intersection between environmental phenomena and the swift wings of aviation. As we elevate our understanding of the intricate dance between skies and jet fuels, we invite you to venture with us, soaring through the clouds of scientific discovery and perhaps stumbling upon a dash of amusement along the way.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

In this study, we aimed to unravel the intricate connection between air pollution in Bend, Oregon, and jet fuel usage in Eswatini. Our methodology blended elements of environmental science, statistical analysis, and a touch of whimsy to navigate the labyrinthine pathways of data collection and interpretation.

Data Collection:
Our research endeavor commenced with an exhaustive compilation of air pollution levels in Bend, Oregon, sourced from the Environmental Protection Agency. We meticulously gathered data spanning the years 2001 to 2021, allowing us to capture the ebb and flow of atmospheric contaminants over two decades. The data, while not as light as air, were nonetheless buoyant with potential insights waiting to be gleaned.

Simultaneously, we procured data on jet fuel consumption in the captivating kingdom of Eswatini from the Energy Information Administration. The fuel data encompassed the same temporal scope as the air pollution data from Bend, ensuring that our analysis captured the full spectrum of fluctuations over time. We sifted through piles of statistical documents, feeling like intrepid explorers amidst the digital archives, in search of treasure troves of information waiting to be unearthed.

Statistical Analysis:
With our data sets in hand, we employed a barrage of statistical techniques to tease out any potential connections between the air pollution in Bend and the utilization of jet fuel in Eswatini. Our analysis included the calculation of correlation coefficients, scatter plots, and regression models to disentangle the intricate dance of variables, akin to unraveling the steps of an elaborate ballet performance.

The statistical methodologies used in this study were as robust as a jet engine, designed to withstand the turbulence of complex data interactions and navigate the stormy seas of uncertainty. As we delved deeper into the cascading tides of statistical analysis, we sought to not only uncover correlations but also to shine a light on the potential implications and nuances of the relationships we uncovered.

Data Interpretation:
Our interpretation of the statistical findings was not a mere exercise in number-crunching, but rather akin to deciphering the cryptic messages of an ancient manuscript. The correlation coefficient of 0.6959355 that emerged from our analysis left us in awe, akin to stumbling upon a long-lost treasure map that promised to lead us to new realms of understanding.

The p-value, surpassing the conventional threshold with a flourish of statistical significance, added a spark of excitement to our findings, much like discovering a hidden passage in a labyrinthine maze of data analysis. As we ventured through the twists and turns of our interpretations, we gazed upon the landscape of our results with a twinkle in our eyes, akin to a traveler who has stumbled upon an unexpected vista.

In summary, our methodology combined the rigor of scientific inquiry with a hint of adventure, weaving together the threads of environmental science, statistical analysis, and the enchanting enigma of unexpected connections. As we unveil the undercurrents that tie together the skies of Bend, Oregon, and the jet fuel usage in Eswatini, we invite our readers to embark on this scholarly odyssey with us, where every statistical figure and methodological twist might just conceal a sprinkle of scientific whimsy.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 Bend, Oregon and Jet fuel used in Eswatini. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Energy Information Administration .

For the time period 2001 to 2021, you found a correlation 0.6959355, r-squared of 0.4843262, 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]]
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

[[ABSTRACT]]
Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Ah, the tantalizing tango of air quality and jet fuel, two seemingly disparate entities, dancing in the realm of environmental impact. In the air pollution waltz of Bend, Oregon, and the jet fuel cha-cha of Eswatini, little did we expect to stumble upon a harmonious connection that left us pondering the mysteries of our interconnected world.
As researchers, we are constantly inspired by the unexpected relationships that emerge when we dive into the depths of data and statistics, although we rarely expect to encounter a pairing as curious as this one. With furrowed brows and the anticipation of an unexpected plot twist, we embarked on a journey to explore whether the environmental footprints of these two regions might be linked by an invisible thread—much like a suspenseful whodunit plot, but with aerosol particles and aviation fuel as our prime suspects.
Drawing from the vast archives of the Environmental Protection Agency and the Energy Information Administration, we endeavored to piece together a tale of air quality and jet propulsion, aiming to illuminate the potential impacts of jet fuel usage on the serene skies of Bend, Oregon. Our delving into the depths of data yielded unexpected treasures, divulging a correlation coefficient that not only raised our eyebrows but also prompted a stir of excitement among the research team—much like discovering a hidden treasure trove amidst a sea of statistical uncertainty and data analysis protocols.
Our paper is not just a mere exploration of statistical connections; it is a journey that traverses the realms of environmental science, geography, and aviation, lending an air of adventure to the otherwise dry landscape of academic research. As we uncovered the entwined fates of air pollution in Bend and jet fuel usage in Eswatini, we were entranced by the unexpected symphony of variables and the melody of correlations that sang out to us from the depths of our data sets.
So, join us as we unravel the enigma of this seemingly whimsical linkage, exploring the captivating intersection between environmental phenomena and the swift wings of aviation. As we elevate our understanding of the intricate dance between skies and jet fuels, we invite you to venture with us, soaring through the clouds of scientific discovery and perhaps stumbling upon a dash of amusement along the way.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our investigation unveiled a noteworthy correlation between air pollution levels in Bend, Oregon, and the consumption of jet fuel in the scenic kingdom of Eswatini from 2001 to 2021. Our rigorous statistical analysis revealed a correlation coefficient of 0.6959355, indicating a moderately strong relationship between the two variables. Furthermore, the coefficient of determination (r-squared) of 0.4843262 suggested that 48.43% of the variability in Bend's air pollution levels could be explained by the consumption of jet fuel in Eswatini over the study period, highlighting the potential impact of aviation activities on air quality.

The obtained p-value, which was less than 0.01, signified a statistically significant relationship between the two variables, debunking any notions of mere coincidence and reaffirming the consequential connection we had detected. These findings not only underscore the remarkable interconnectedness of environmental phenomena across distant geographic regions but also infuse a sense of unexpected awe and wonder into the realm of scientific inquiry.

In support of our results, Figure 1 depicts a compelling scatterplot that visually captures the strong correlation between air pollution in Bend, Oregon, and jet fuel usage in Eswatini, further cementing the validity of our research findings.

These results prompt further contemplation on the intricate dynamics of global environmental interdependence, serving as a testament to the surprising revelations that often emerge from the depths of data analysis and statistical scrutiny. As we unravel the compelling nexus between air quality and aviation fuel consumption, we are not only deepening our understanding of environmental phenomena but also injecting a touch of whimsy into the traditionally staid domain of scholarly research.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 Bend, Oregon and Jet fuel used in Eswatini. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.

Do not write a conclusion. I will add a conclusion after this.

[[TITLE]]
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

[[ABSTRACT]]
Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.

[[LITERATURE REVIEW]]
In "Environmental Impacts of Air Pollution in Urban Areas," Smith and Doe extensively examine the detrimental effects of air pollution on urban communities, emphasizing the health implications and environmental degradation associated with high levels of particulate matter and nitrogen dioxide. Similarly, Jones et al., in "Jet Fuel Utilization and Environmental Concerns," delve into the complex relationship between jet fuel consumption and its impact on air quality, highlighting the significance of aviation emissions in contributing to atmospheric pollution. These works provide a comprehensive understanding of the individual aspects of air pollution and jet fuel usage, setting the stage for our investigation into the potential link between the two seemingly incongruous phenomena.
Shifting our focus to the realm of non-fiction publications, "The Air We Breathe: A Journey into Urban Air Pollution" by Doe and Smith presents a detailed exploration of air quality in urban settings, delving into the sources of pollution and their implications for public health and the environment. Moreover, "Wings of Change: A Global Perspective on Aviation Fuels" by Jones offers a comprehensive analysis of aviation fuels and their environmental impacts, shedding light on the intricate web of factors influencing air quality in the vicinity of airports and flight paths.
On a more whimsical note, the fiction novel "Flight of the Particles" by J.K. Airling captures the enchanting tale of anthropomorphic aerosol particles navigating through a world of atmospheric adventures, providing a lighthearted perspective on the subtleties of air pollution and its consequences. Furthermore, "The Bend Connection" by E. Swatini intricately weaves a narrative set in the charming town of Bend, Oregon, intertwining elements of mystery, aviation, and environmental intrigue into a captivating story that mirrors the unique blend of our research endeavors.
In the realm of cinematic entertainment, the movie "Up in the Air Pollution" offers a satirical take on the challenges of environmental conservation in the face of burgeoning jet fuel consumption, infusing humor and poignant commentary into the portrayal of airborne pollutants and their impact on diverse landscapes. Similarly, "Bend and the Jet Setters" provides a fictional yet whimsically insightful portrayal of the eccentric interactions between air pollution in Bend and the high-flying world of jet fuel utilization, delivering an unexpected twist of comedic relief amidst the complexities of environmental research.
As we navigate through this literature, we find ourselves straddling the line between empirical analysis and unexpected narratives, where serious inquiry collides with lighthearted whimsy. These diverse sources not only inform our exploration of the environmental ties between Bend, Oregon, and Eswatini but also infuse an element of amusement into our scholarly pursuit, inviting us to embrace the quirky intricacies of our research landscape.

[[RESULTS]]
The results of our investigation unveiled a noteworthy correlation between air pollution levels in Bend, Oregon, and the consumption of jet fuel in the scenic kingdom of Eswatini from 2001 to 2021. Our rigorous statistical analysis revealed a correlation coefficient of 0.6959355, indicating a moderately strong relationship between the two variables. Furthermore, the coefficient of determination (r-squared) of 0.4843262 suggested that 48.43% of the variability in Bend's air pollution levels could be explained by the consumption of jet fuel in Eswatini over the study period, highlighting the potential impact of aviation activities on air quality.
The obtained p-value, which was less than 0.01, signified a statistically significant relationship between the two variables, debunking any notions of mere coincidence and reaffirming the consequential connection we had detected. These findings not only underscore the remarkable interconnectedness of environmental phenomena across distant geographic regions but also infuse a sense of unexpected awe and wonder into the realm of scientific inquiry.
In support of our results, Figure 1 depicts a compelling scatterplot that visually captures the strong correlation between air pollution in Bend, Oregon, and jet fuel usage in Eswatini, further cementing the validity of our research findings.
These results prompt further contemplation on the intricate dynamics of global environmental interdependence, serving as a testament to the surprising revelations that often emerge from the depths of data analysis and statistical scrutiny. As we unravel the compelling nexus between air quality and aviation fuel consumption, we are not only deepening our understanding of environmental phenomena but also injecting a touch of whimsy into the traditionally staid domain of scholarly research.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The correlation between air pollution in Bend, Oregon, and jet fuel consumption in Eswatini is both intriguing and, to put it bluntly, up in the air. Our findings not only align with prior research that emphasizes the significant impact of aviation emissions on air quality but also add a humorous twist to the often-dry realm of environmental science.

While the statistical relationship we uncovered may seem as solid as a well-structured scientific theory, we acknowledge that a correlation does not necessarily imply causation. Nevertheless, the substantial correlation coefficient and p-value conundrum imply an undeniable association between the two variables. It appears that the environmental ties between Bend and Eswatini are as tight as the seat belts in an airplane.

Drawing on the literature review, which encompassed both serious and whimsical sources, we couldn't help but be captivated by the possibility of anthropomorphic aerosol particles embarking on atmospheric adventures or envisioning a realm where air pollution in Bend forms a comical bond with high-flying jet setters. Admittedly, the excessive carbon dioxide in our research room might have gotten to our heads.

As we raise intriguing discussions and entertain unexpected associations, our research nudges at the boundaries of conventional scholarly inquiry, inviting a light-hearted embrace of the cleverly disguised quirks and puns within the often staid facade of academic exploration.

As we soar through the p-values and coefficients, we underscore the importance of not only translating our findings into meaningful policy implications but also embracing the unexpected blend of science and amusement that permeates our research landscape. The story of air pollution and jet fuel, as it turns out, is not just a tale of statistical significance but also an enchanting narrative that melds empirical analysis with a touch of whimsy. And as we continue to unravel the intricate web of global environmental interconnectedness, we are reminded that even in the serious pursuit of scholarly inquiry, it never hurts to inject a bit of levity and unexpected surprise into the mix.


Model: gpt-3.5-turbo-1106
System prompt: You are a silly researcher writing an academic paper.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 Bend, Oregon and Jet fuel used in Eswatini. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini

[[ABSTRACT]]
Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.

[[INTRDUCTION]]
Ah, the tantalizing tango of air quality and jet fuel, two seemingly disparate entities, dancing in the realm of environmental impact. In the air pollution waltz of Bend, Oregon, and the jet fuel cha-cha of Eswatini, little did we expect to stumble upon a harmonious connection that left us pondering the mysteries of our interconnected world.
As researchers, we are constantly inspired by the unexpected relationships that emerge when we dive into the depths of data and statistics, although we rarely expect to encounter a pairing as curious as this one. With furrowed brows and the anticipation of an unexpected plot twist, we embarked on a journey to explore whether the environmental footprints of these two regions might be linked by an invisible thread—much like a suspenseful whodunit plot, but with aerosol particles and aviation fuel as our prime suspects.
Drawing from the vast archives of the Environmental Protection Agency and the Energy Information Administration, we endeavored to piece together a tale of air quality and jet propulsion, aiming to illuminate the potential impacts of jet fuel usage on the serene skies of Bend, Oregon. Our delving into the depths of data yielded unexpected treasures, divulging a correlation coefficient that not only raised our eyebrows but also prompted a stir of excitement among the research team—much like discovering a hidden treasure trove amidst a sea of statistical uncertainty and data analysis protocols.
Our paper is not just a mere exploration of statistical connections; it is a journey that traverses the realms of environmental science, geography, and aviation, lending an air of adventure to the otherwise dry landscape of academic research. As we uncovered the entwined fates of air pollution in Bend and jet fuel usage in Eswatini, we were entranced by the unexpected symphony of variables and the melody of correlations that sang out to us from the depths of our data sets.
So, join us as we unravel the enigma of this seemingly whimsical linkage, exploring the captivating intersection between environmental phenomena and the swift wings of aviation. As we elevate our understanding of the intricate dance between skies and jet fuels, we invite you to venture with us, soaring through the clouds of scientific discovery and perhaps stumbling upon a dash of amusement along the way.

[[RESULTS]]
The results of our investigation unveiled a noteworthy correlation between air pollution levels in Bend, Oregon, and the consumption of jet fuel in the scenic kingdom of Eswatini from 2001 to 2021. Our rigorous statistical analysis revealed a correlation coefficient of 0.6959355, indicating a moderately strong relationship between the two variables. Furthermore, the coefficient of determination (r-squared) of 0.4843262 suggested that 48.43% of the variability in Bend's air pollution levels could be explained by the consumption of jet fuel in Eswatini over the study period, highlighting the potential impact of aviation activities on air quality.
The obtained p-value, which was less than 0.01, signified a statistically significant relationship between the two variables, debunking any notions of mere coincidence and reaffirming the consequential connection we had detected. These findings not only underscore the remarkable interconnectedness of environmental phenomena across distant geographic regions but also infuse a sense of unexpected awe and wonder into the realm of scientific inquiry.
In support of our results, Figure 1 depicts a compelling scatterplot that visually captures the strong correlation between air pollution in Bend, Oregon, and jet fuel usage in Eswatini, further cementing the validity of our research findings.
These results prompt further contemplation on the intricate dynamics of global environmental interdependence, serving as a testament to the surprising revelations that often emerge from the depths of data analysis and statistical scrutiny. As we unravel the compelling nexus between air quality and aviation fuel consumption, we are not only deepening our understanding of environmental phenomena but also injecting a touch of whimsy into the traditionally staid domain of scholarly research.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In traversing the convoluted terrain of environmental impact, we stumbled upon an unexpected yet captivating relationship between air pollution in Bend, Oregon, and the consumption of jet fuel in the enchanting kingdom of Eswatini. Our findings illuminated a correlation coefficient as striking as a bolt of lightning on a clear day, ushering in an era of statistical enlightenment that sent ripples of excitement through the research team. This tantalizing union of seemingly disparate variables not only reflects the interconnectedness of global environmental phenomena but also provides a gentle nudge for future exploration into the whimsical world of environmental science. As we bid adieu to this peculiar yet enthralling study, we do so with the unwavering conviction that no more research is needed in this area, for we have unraveled the mystery of the ties between skies, leaving behind a trail of scientific knowledge and perhaps a dash of airborne amusement.


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 The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Atmospheric Chaos and Global Connections


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 The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Atmospheric Research and Global Mobility Solutions


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 The Ties Between Skies: Environmental Impacts of Air Pollution in Bend, Oregon and Jet Fuel Usage in Eswatini with an abstract of Despite their distinct geographic locations, we embarked on a quest to uncover the potential relationship between the air quality in Bend, Oregon, and the utilization of jet fuel in the picturesque kingdom of Eswatini. Leveraging data from the Environmental Protection Agency and the Energy Information Administration, we meticulously analyzed the air pollution levels in Bend and the jet fuel consumption in Eswatini over the past two decades. Through rigorous statistical analysis, we observed a striking correlation coefficient of 0.6959355 and a p-value of less than 0.01 from 2001 to 2021. Our findings not only shed light on the interconnectedness of global environmental phenomena but also spark intriguing implications for future research and policy considerations. As we delve into the complexities of this relationship, we embark on a journey that melds environmental science with an unexpected blend of geography and aviation, simultaneously soaring to new heights of insight and amusement.

ChatGPT:

"environmental impacts air pollution Bend Oregon, jet fuel usage Eswatini, air pollution levels Bend Oregon, jet fuel consumption Eswatini, correlation air pollution jet fuel consumption, global environmental phenomena, environmental science geography aviation, air quality relationship jet fuel usage"

*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 Bend, Oregon
Detailed data title: Percentage of days 'unhealthy' or worse air quality in Bend-Redmond, OR
Source: Environmental Protection Agency
See what else correlates with Air pollution in Bend, Oregon

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

Correlation r = 0.6959355 (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 = 0.4843262 (Coefficient of determination)
This means 48.4% of the change in the one variable (i.e., Jet fuel used in Eswatini) is predictable based on the change in the other (i.e., Air pollution in Bend, Oregon) over the 21 years from 2001 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.00046. 0.0004591124447739827000000000
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 0.046% of random cases. Said differently, if you correlated 2,178 random variables Which I absolutely did.
with the same 20 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 20 because we have two variables measured over a period of 21 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.38, 0.87 ] 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.
200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Air pollution in Bend, Oregon (Bad air quality days)0.005747130000000000.002739730.0464481000.0027397300.07123290.01377410.002739730.02732240.0273973
Jet fuel used in Eswatini (Million Barrels/Day)0.01458120.01357660.01307260.01253630.01231870.01257070.01307910.01343330.01194930.01151480.01303560.0130.01303560.01303560.0130350.0217260.03205240.0217260.0217260.02072020.0218633




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.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




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([0.00574713,0,0,0,0,0,0,0,0,0,0.00273973,0.0464481,0,0,0.00273973,0,0.0712329,0.0137741,0.00273973,0.0273224,0.0273973,])
array_2 = np.array([0.0145812,0.0135766,0.0130726,0.0125363,0.0123187,0.0125707,0.0130791,0.0134333,0.0119493,0.0115148,0.0130356,0.013,0.0130356,0.0130356,0.013035,0.021726,0.0320524,0.021726,0.021726,0.0207202,0.0218633,])
array_1_name = "Air pollution in Bend, Oregon"
array_2_name = "Jet fuel used in Eswatini"

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

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



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

For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

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

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Correlation ID: 2671 · Black Variable ID: 21979 · Red Variable ID: 24398
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