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Spurious correlation #2,766 · 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 Oklahoma City and the second variable is Kerosene used in Japan.  The chart goes from 1980 to 2022, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The cleaner air in Oklahoma City was just too persuasive, it sent out feel-good vibes that reached all the way to Japan, convincing everyone to switch to cleaner energy sources and ditch the kerosene. Oklahoma City: unintentional influencer of international kerosene usage!

Model: dalle-3
Prompt: Prompt: Generate an image of a serene Oklahoma City scene with clear blue skies and families flying colorful kites outdoors. In the distance, a traditional Japanese kite festival with kerosene lamp illumination and surging demand for kerosene to power the festivities is depicted. Illustrate the intertwined effects of improved air quality in Oklahoma City and the increased demand for kerosene in Japan due to the surge in kite flying activities. The image should evoke a calm and peaceful ambiance tying together the scenes from both places. 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 Oklahoma City and Kerosene used in Japan. 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: Symbolism An image that looks like it is a scene from 'Star Wars' a Polaroid photo Realistic Celtic art
ChatGPT: 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 Air pollution in Oklahoma City and Kerosene used in Japan, in the following situation: Changes in air pollution in Oklahoma City caused an increase in demand for kerosene used in Japan because as the air quality improved, Oklahomans spent more time outside enjoying the fresh air, leading to a surge in kite flying. This sudden surge in kite flying created a heightened need for kerosene to power the traditional Japanese kite festivals, resulting in a cross-continental kerosene supply chain.. Keep the description simple.
ChatGPT: Picture a serene scene in Oklahoma City, with clear blue skies and families spending time outdoors, flying colorful kites in the gentle breeze. In Japan, amidst traditional kite festivals, kerosene lamps illuminate the evening sky as the demand for kerosene surges to power the enchanting festivities. These scenes are connected by the intertwined effects of improved air quality in Oklahoma City and the increased demand for kerosene in Japan due to the surge in kite flying activities.

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: [ Realistic ] and depicting this scene: Picture a serene scene in Oklahoma City, with clear blue skies and families spending time outdoors, flying colorful kites in the gentle breeze. In Japan, amidst traditional kite festivals, kerosene lamps illuminate the evening sky as the demand for kerosene surges to power the enchanting festivities. These scenes are connected by the intertwined effects of improved air quality in Oklahoma City and the increased demand for kerosene in Japan due to the surge in kite flying activities. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image of a serene Oklahoma City scene with clear blue skies and families flying colorful kites outdoors. In the distance, a traditional Japanese kite festival with kerosene lamp illumination and surging demand for kerosene to power the festivities is depicted. Illustrate the intertwined effects of improved air quality in Oklahoma City and the increased demand for kerosene in Japan due to the surge in kite flying activities. The image should evoke a calm and peaceful ambiance tying together the scenes from both places.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how a decrease in Air pollution in Oklahoma City caused Kerosene used in Japan to decrease.

AI academic paper

(Because p < 0.01)
A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan

The Journal of Atmospheric Anomalies and Global Energy Trends

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 Oklahoma City and Kerosene used in Japan. Make lots of jokes, goofy observations, and puns.

Make the title seem clever.

Your research team used data from Environmental Protection Agency and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.6285582 and p < 0.01 for 1980 to 2022.

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]]
"A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan"

[[ABSTRACT]]
In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.


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 Oklahoma City and Kerosene used in Japan. Make lots of jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
"A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan"

[[ABSTRACT]]
In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Gather round, fellow academics, as we embark on a riveting expedition into the whimsical world of environmental connections that would leave even the most seasoned sleuth scratching their heads in wonder. Picture this: the serene plains of Oklahoma City, where the winds whisper tales of industrial prowess and urban bustle, and the tranquil streets of Japan, where the flickering glow of kerosene lamps harks back to a time when technology wasn't quite so illuminating. What on earth could possibly connect these two seemingly unrelated landscapes? Well, hold onto your lab coats, because we are about to unravel the mystery that has left many a researcher befuddled.

You see, when we gaze upon the billowing clouds of pollutants in Oklahoma City and the subtle glow of kerosene lamps in the Land of the Rising Sun, we can't help but wonder if there's more than meets the eye. Sure, it might sound like a plot twist in a quirky science fiction novel, but our intrepid team of researchers is here to tell you that there's a statistical correlation that might just blow your socks off.

Now, before you raise an eyebrow or two, let's dive into the heart of the matter. Our initial foray into this eyebrow-raising enigma led us to consider the possibility that perhaps the winds of change carry more than just a whiff of irony. Could it be that these atmospheric currents are the invisible threads stitching together the tale of two continents, playing a whimsical game of environmental hopscotch across the Pacific?

But hold your laughter, dear colleagues, for there's more to this story than meets the funny bone. As we combed through reams of data from the Environmental Protection Agency and the Energy Information Administration, we stumbled upon a correlation coefficient of 0.6285582 and p < 0.01, spanning the years from 1980 to 2022. Now, that's a statistic that would make even the most stoic statistician crack a smile.

So, what does this all mean? Is there a logical explanation, or are we simply chasing after the zephyrs of serendipity? Join us as we uncover the peculiar quirks of this environmental tango, and perhaps, just perhaps, find a hint of humor in the delightful dance between air pollution in Oklahoma City and the flickering allure of kerosene in Japan.


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 Oklahoma City and Kerosene used in Japan. Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
"A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan"

[[ABSTRACT]]
In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Gather round, fellow academics, as we embark on a riveting expedition into the whimsical world of environmental connections that would leave even the most seasoned sleuth scratching their heads in wonder. Picture this: the serene plains of Oklahoma City, where the winds whisper tales of industrial prowess and urban bustle, and the tranquil streets of Japan, where the flickering glow of kerosene lamps harks back to a time when technology wasn't quite so illuminating. What on earth could possibly connect these two seemingly unrelated landscapes? Well, hold onto your lab coats, because we are about to unravel the mystery that has left many a researcher befuddled.
You see, when we gaze upon the billowing clouds of pollutants in Oklahoma City and the subtle glow of kerosene lamps in the Land of the Rising Sun, we can't help but wonder if there's more than meets the eye. Sure, it might sound like a plot twist in a quirky science fiction novel, but our intrepid team of researchers is here to tell you that there's a statistical correlation that might just blow your socks off.
Now, before you raise an eyebrow or two, let's dive into the heart of the matter. Our initial foray into this eyebrow-raising enigma led us to consider the possibility that perhaps the winds of change carry more than just a whiff of irony. Could it be that these atmospheric currents are the invisible threads stitching together the tale of two continents, playing a whimsical game of environmental hopscotch across the Pacific?
But hold your laughter, dear colleagues, for there's more to this story than meets the funny bone. As we combed through reams of data from the Environmental Protection Agency and the Energy Information Administration, we stumbled upon a correlation coefficient of 0.6285582 and p < 0.01, spanning the years from 1980 to 2022. Now, that's a statistic that would make even the most stoic statistician crack a smile.
So, what does this all mean? Is there a logical explanation, or are we simply chasing after the zephyrs of serendipity? Join us as we uncover the peculiar quirks of this environmental tango, and perhaps, just perhaps, find a hint of humor in the delightful dance between air pollution in Oklahoma City and the flickering allure of kerosene in Japan.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

To situate our study within the broader landscape of environmental peculiarities, we turn our attention to previous research that delves into unlikely connections across geographical boundaries. Smith's seminal work "Atmospheric Curiosities: Unraveling Nature's Quirky Quandaries" provides a comprehensive overview of whimsical atmospheric phenomena, laying the groundwork for exploring the delightful dance of environmental influences. Similarly, Doe and Jones, in "Intriguing Interplays: Global Puzzle Pieces," shed light on the unexpected connections that transcend continental divides, serving as a beacon of inspiration for our own investigative journey.

Venturing further into the realm of literature, we encounter "The Winds of Change: An Exploration of Environmental Mysteries" by Environmentalist et al., a gripping account of the captivating interplay between natural forces and human activities. This captivating narrative beckons us to ponder the possibilities of unanticipated interactions, arousing our curiosity and fascination.

Turning to the realm of fiction, the works of Murakami and Ishiguro seem to offer an intriguing parallel to our investigation. In "Kerosene Dreams" by Murakami, the ethereal glow of kerosene lamps takes on a symbolic resonance, hinting at connections that transcend physical illumination. Similarly, Ishiguro's "The Remains of the Day" invites contemplation of the subtleties of cultural exchange and the enduring allure of traditional practices, providing a thought-provoking backdrop for our exploration.

Furthermore, our whimsical journey leads us to the silver screen, where movies such as "Lost in Translation" and "Spirited Away" offer glimpses of the atmospheric interplay that transcends linguistic and cultural boundaries. These cinematic escapades evoke a sense of enchantment and wonder, underscoring the potential for unexpected connections and serendipitous encounters in the realm of environmental inquiry.

As we weave through the fabric of scholarly works, fictional narratives, and cinematic representations, we are reminded of the boundless mysteries that await our discovery. The intersection of air pollution in Oklahoma City and kerosene consumption in Japan beckons us to embrace the whimsical intricacies of our planet's interconnected dance, inviting laughter and wonder as we unravel the enigmatic correlation that defies conventional explanations. Join us in this delightful expedition, where laughter and curiosity converge in a merry dance of environmental investigation.


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 Oklahoma City and Kerosene used in Japan. Make lots of jokes, goofy observations, and puns.

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 1980 to 2022

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]]
"A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan"

[[ABSTRACT]]
In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.

[[INTRODUCTION]]
Gather round, fellow academics, as we embark on a riveting expedition into the whimsical world of environmental connections that would leave even the most seasoned sleuth scratching their heads in wonder. Picture this: the serene plains of Oklahoma City, where the winds whisper tales of industrial prowess and urban bustle, and the tranquil streets of Japan, where the flickering glow of kerosene lamps harks back to a time when technology wasn't quite so illuminating. What on earth could possibly connect these two seemingly unrelated landscapes? Well, hold onto your lab coats, because we are about to unravel the mystery that has left many a researcher befuddled.
You see, when we gaze upon the billowing clouds of pollutants in Oklahoma City and the subtle glow of kerosene lamps in the Land of the Rising Sun, we can't help but wonder if there's more than meets the eye. Sure, it might sound like a plot twist in a quirky science fiction novel, but our intrepid team of researchers is here to tell you that there's a statistical correlation that might just blow your socks off.
Now, before you raise an eyebrow or two, let's dive into the heart of the matter. Our initial foray into this eyebrow-raising enigma led us to consider the possibility that perhaps the winds of change carry more than just a whiff of irony. Could it be that these atmospheric currents are the invisible threads stitching together the tale of two continents, playing a whimsical game of environmental hopscotch across the Pacific?
But hold your laughter, dear colleagues, for there's more to this story than meets the funny bone. As we combed through reams of data from the Environmental Protection Agency and the Energy Information Administration, we stumbled upon a correlation coefficient of 0.6285582 and p < 0.01, spanning the years from 1980 to 2022. Now, that's a statistic that would make even the most stoic statistician crack a smile.
So, what does this all mean? Is there a logical explanation, or are we simply chasing after the zephyrs of serendipity? Join us as we uncover the peculiar quirks of this environmental tango, and perhaps, just perhaps, find a hint of humor in the delightful dance between air pollution in Oklahoma City and the flickering allure of kerosene in Japan.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the tangled web of atmospheric intrigue between air pollution in Oklahoma City and kerosene consumption in Japan, our research team adopted an approach that was as whimsical as the connection itself. Our endeavor began with a deep dive into the digital seas of data, where we cast our nets wide to capture the elusive numbers that would illuminate this enigmatic correlation.

First and foremost, we scoured the digital repositories of the Environmental Protection Agency and the Energy Information Administration, where the treasure troves of environmental and energy data awaited our eager perusal. Armed with spreadsheets and statistical software that clung to our fingertips like digital barnacles, we set about trawling through the data spanning from the year 1980 to 2022.

With the fervor of intrepid explorers braving the stormy seas, we navigated through the choppy waters of online databases, extracting information on air pollutants in Oklahoma City and kerosene consumption trends in Japan. The novelty of juxtaposing these seemingly unrelated datasets brought an unexpected thrill as we sailed through the digital waves, charting our course towards the elusive shores of correlation.

To ensure the reliability and integrity of our findings, we employed rigorous statistical analyses, including but not limited to correlation coefficients and trend analyses. Our tools of inquiry ranged from the humble spreadsheet functions to the majestic algorithms of multivariate regression, as we sought to tease out the hidden patterns and relationships lurking within this kooky juxtaposition of pollutants and kerosene.

In our quest to uncover the quixotic correlations, we also entertained the whimsical notion of exploring potential mediating variables, ranging from wind patterns to cultural exchanges, in a bid to shed light on the mysterious interplay between air pollution and kerosene consumption. And as we waded through the data, we couldn't resist the allure of a few impromptu dances to the beats of statistical significance, pirouetting through the p-values with the grace of scientific jesters.

Armed with these unconventional tools and an irrepressible sense of curiosity, we embarked on a journey that transcended the boundaries of traditional research methods, navigating the uncharted waters of whimsy and wonder to illuminate the endearing dance of environmental influences across continents.

In summary, our methodology blended the tedium of rigorous data collection and analysis with the giddy exhilaration of unraveling an improbable connection, crafting a harmonious symphony of scientific inquiry that celebrated the quirky and unexpected facets of the natural world. So, join us as we hoist the sails of curiosity and set course for the lighthearted exploration of the remarkable correlation between air pollution in Oklahoma City and the flickering allure of kerosene in Japan. Ahoy, fellow researchers, for the winds of scientific discovery await!


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 Oklahoma City and Kerosene used in Japan. Make lots of jokes, goofy observations, and puns.

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 1980 to 2022, you found a correlation 0.6285582, r-squared of 0.3950854, 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]]
"A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan"

[[ABSTRACT]]
In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Gather round, fellow academics, as we embark on a riveting expedition into the whimsical world of environmental connections that would leave even the most seasoned sleuth scratching their heads in wonder. Picture this: the serene plains of Oklahoma City, where the winds whisper tales of industrial prowess and urban bustle, and the tranquil streets of Japan, where the flickering glow of kerosene lamps harks back to a time when technology wasn't quite so illuminating. What on earth could possibly connect these two seemingly unrelated landscapes? Well, hold onto your lab coats, because we are about to unravel the mystery that has left many a researcher befuddled.
You see, when we gaze upon the billowing clouds of pollutants in Oklahoma City and the subtle glow of kerosene lamps in the Land of the Rising Sun, we can't help but wonder if there's more than meets the eye. Sure, it might sound like a plot twist in a quirky science fiction novel, but our intrepid team of researchers is here to tell you that there's a statistical correlation that might just blow your socks off.
Now, before you raise an eyebrow or two, let's dive into the heart of the matter. Our initial foray into this eyebrow-raising enigma led us to consider the possibility that perhaps the winds of change carry more than just a whiff of irony. Could it be that these atmospheric currents are the invisible threads stitching together the tale of two continents, playing a whimsical game of environmental hopscotch across the Pacific?
But hold your laughter, dear colleagues, for there's more to this story than meets the funny bone. As we combed through reams of data from the Environmental Protection Agency and the Energy Information Administration, we stumbled upon a correlation coefficient of 0.6285582 and p < 0.01, spanning the years from 1980 to 2022. Now, that's a statistic that would make even the most stoic statistician crack a smile.
So, what does this all mean? Is there a logical explanation, or are we simply chasing after the zephyrs of serendipity? Join us as we uncover the peculiar quirks of this environmental tango, and perhaps, just perhaps, find a hint of humor in the delightful dance between air pollution in Oklahoma City and the flickering allure of kerosene in Japan.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The data analysis revealed a surprising correlation coefficient of 0.6285582 between air pollution in Oklahoma City and kerosene consumption in Japan for the period from 1980 to 2022. This correlation was found to have an r-squared value of 0.3950854, indicating that approximately 39.5% of the variation in kerosene usage in Japan could be attributed to the air pollution levels in Oklahoma City. The p-value of less than 0.01 further bolstered our confidence in the robustness of this relationship, much like a sturdy umbrella in a gusty storm.

Fig. 1 presents a scatterplot that visually encapsulates the strong correlation between these seemingly unrelated phenomena. The points on the plot form an almost poetic dance, with each data point swaying to the tune of this whimsical waltz across the Pacific. If we may wax poetic for a moment, it's as if the winds of Oklahoma City are whispering their secrets to the kerosene lamps in Japan, creating an atmospheric symphony that defies geographic boundaries.

These findings not only piqued our curiosity but also tickled our academic fancies, prompting us to ponder the myriad possible explanations for this unexpected connection. Whether it's the meandering whims of wind patterns or the cultural nuances that shape energy consumption, we found ourselves steeped in a delightful blend of scientific inquiry and whimsy that reignited our passion for unraveling the mysteries of the natural world.

So, dear readers, as we wrap up this section of our scientific escapade, we leave you with a spark of intrigue and a dash of humor. There may be more to the winds and kerosene lamps than meets the eye, and we invite you to join us in this merry pursuit of knowledge, where every gust of discovery brings with it a whiff of wonder and a pinch of playful curiosity.


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 Oklahoma City and Kerosene used in Japan. Make lots of jokes, goofy observations, and puns.

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]]
"A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan"

[[ABSTRACT]]
In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.

[[LITERATURE REVIEW]]
To situate our study within the broader landscape of environmental peculiarities, we turn our attention to previous research that delves into unlikely connections across geographical boundaries. Smith's seminal work "Atmospheric Curiosities: Unraveling Nature's Quirky Quandaries" provides a comprehensive overview of whimsical atmospheric phenomena, laying the groundwork for exploring the delightful dance of environmental influences. Similarly, Doe and Jones, in "Intriguing Interplays: Global Puzzle Pieces," shed light on the unexpected connections that transcend continental divides, serving as a beacon of inspiration for our own investigative journey.
Venturing further into the realm of literature, we encounter "The Winds of Change: An Exploration of Environmental Mysteries" by Environmentalist et al., a gripping account of the captivating interplay between natural forces and human activities. This captivating narrative beckons us to ponder the possibilities of unanticipated interactions, arousing our curiosity and fascination.
Turning to the realm of fiction, the works of Murakami and Ishiguro seem to offer an intriguing parallel to our investigation. In "Kerosene Dreams" by Murakami, the ethereal glow of kerosene lamps takes on a symbolic resonance, hinting at connections that transcend physical illumination. Similarly, Ishiguro's "The Remains of the Day" invites contemplation of the subtleties of cultural exchange and the enduring allure of traditional practices, providing a thought-provoking backdrop for our exploration.
Furthermore, our whimsical journey leads us to the silver screen, where movies such as "Lost in Translation" and "Spirited Away" offer glimpses of the atmospheric interplay that transcends linguistic and cultural boundaries. These cinematic escapades evoke a sense of enchantment and wonder, underscoring the potential for unexpected connections and serendipitous encounters in the realm of environmental inquiry.
As we weave through the fabric of scholarly works, fictional narratives, and cinematic representations, we are reminded of the boundless mysteries that await our discovery. The intersection of air pollution in Oklahoma City and kerosene consumption in Japan beckons us to embrace the whimsical intricacies of our planet's interconnected dance, inviting laughter and wonder as we unravel the enigmatic correlation that defies conventional explanations. Join us in this delightful expedition, where laughter and curiosity converge in a merry dance of environmental investigation.

[[RESULTS]]
The data analysis revealed a surprising correlation coefficient of 0.6285582 between air pollution in Oklahoma City and kerosene consumption in Japan for the period from 1980 to 2022. This correlation was found to have an r-squared value of 0.3950854, indicating that approximately 39.5% of the variation in kerosene usage in Japan could be attributed to the air pollution levels in Oklahoma City. The p-value of less than 0.01 further bolstered our confidence in the robustness of this relationship, much like a sturdy umbrella in a gusty storm.
Fig. 1 presents a scatterplot that visually encapsulates the strong correlation between these seemingly unrelated phenomena. The points on the plot form an almost poetic dance, with each data point swaying to the tune of this whimsical waltz across the Pacific. If we may wax poetic for a moment, it's as if the winds of Oklahoma City are whispering their secrets to the kerosene lamps in Japan, creating an atmospheric symphony that defies geographic boundaries.
These findings not only piqued our curiosity but also tickled our academic fancies, prompting us to ponder the myriad possible explanations for this unexpected connection. Whether it's the meandering whims of wind patterns or the cultural nuances that shape energy consumption, we found ourselves steeped in a delightful blend of scientific inquiry and whimsy that reignited our passion for unraveling the mysteries of the natural world.
So, dear readers, as we wrap up this section of our scientific escapade, we leave you with a spark of intrigue and a dash of humor. There may be more to the winds and kerosene lamps than meets the eye, and we invite you to join us in this merry pursuit of knowledge, where every gust of discovery brings with it a whiff of wonder and a pinch of playful curiosity.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

Ah, the whimsical winds of science have swept us into the intriguing realm of correlation and causation. Our findings have not only tickled our academic fancies but also induced a playful curiosity that is simply electrifying.

Let's revisit the literature review for a moment, shall we? Smith's "Atmospheric Curiosities" and the captivating narrative of "The Winds of Change" by Environmentalist et al. have indeed set the stage for our whimsical journey. These works primed us to expect the unexpected and to embrace the serendipitous nature of environmental interplays. Who would have thought our playful musings about fictional narratives and silver screen escapades would find a semblance of connection with our own scientific inquiry?

Now, drumroll, please! Our results have not only supported but exuberantly danced with the prior research. The correlation coefficient of 0.6285582 is akin to a well-executed tango, showcasing the synchronous sway between air pollution in Oklahoma City and kerosene consumption in Japan. It's as if the winds of Oklahoma City are choreographing an atmospheric symphony that resonates across the Pacific, whispering their secrets to the kerosene lamps in Japan. Our r-squared value of 0.3950854 further solidifies this captivating connection, underscoring that approximately 39.5% of the variation in kerosene usage in Japan could be attributed to the air pollution levels in Oklahoma City.

As we bask in the enchanting glow of these findings, we are reminded of the delightful blend of scientific inquiry and whimsy that infuses our exploration. Whether it's the mischievous meanderings of wind patterns or the captivating cultural nuances that shape energy consumption, our study has unfurled a whimsical tapestry of interconnectedness that defies conventional explanations.

Dear readers, as we tiptoe through this merry pursuit of knowledge, we invite you to join us in embracing the playful curiosity that steers our scientific ship. There may indeed be more to the winds and kerosene lamps than meets the eye, and we wholeheartedly embrace the playful quirkiness that adorns our research. So, let's raise our scientific scepters and embark on this delightful expedition, where every gust of discovery brings with it a whiff of wonder and a pinch of playful curiosity!


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 Oklahoma City and Kerosene used in Japan. Make lots of jokes, goofy observations, and puns.

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]]
"A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan"

[[ABSTRACT]]
In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.

[[INTRDUCTION]]
Gather round, fellow academics, as we embark on a riveting expedition into the whimsical world of environmental connections that would leave even the most seasoned sleuth scratching their heads in wonder. Picture this: the serene plains of Oklahoma City, where the winds whisper tales of industrial prowess and urban bustle, and the tranquil streets of Japan, where the flickering glow of kerosene lamps harks back to a time when technology wasn't quite so illuminating. What on earth could possibly connect these two seemingly unrelated landscapes? Well, hold onto your lab coats, because we are about to unravel the mystery that has left many a researcher befuddled.
You see, when we gaze upon the billowing clouds of pollutants in Oklahoma City and the subtle glow of kerosene lamps in the Land of the Rising Sun, we can't help but wonder if there's more than meets the eye. Sure, it might sound like a plot twist in a quirky science fiction novel, but our intrepid team of researchers is here to tell you that there's a statistical correlation that might just blow your socks off.
Now, before you raise an eyebrow or two, let's dive into the heart of the matter. Our initial foray into this eyebrow-raising enigma led us to consider the possibility that perhaps the winds of change carry more than just a whiff of irony. Could it be that these atmospheric currents are the invisible threads stitching together the tale of two continents, playing a whimsical game of environmental hopscotch across the Pacific?
But hold your laughter, dear colleagues, for there's more to this story than meets the funny bone. As we combed through reams of data from the Environmental Protection Agency and the Energy Information Administration, we stumbled upon a correlation coefficient of 0.6285582 and p < 0.01, spanning the years from 1980 to 2022. Now, that's a statistic that would make even the most stoic statistician crack a smile.
So, what does this all mean? Is there a logical explanation, or are we simply chasing after the zephyrs of serendipity? Join us as we uncover the peculiar quirks of this environmental tango, and perhaps, just perhaps, find a hint of humor in the delightful dance between air pollution in Oklahoma City and the flickering allure of kerosene in Japan.

[[RESULTS]]
The data analysis revealed a surprising correlation coefficient of 0.6285582 between air pollution in Oklahoma City and kerosene consumption in Japan for the period from 1980 to 2022. This correlation was found to have an r-squared value of 0.3950854, indicating that approximately 39.5% of the variation in kerosene usage in Japan could be attributed to the air pollution levels in Oklahoma City. The p-value of less than 0.01 further bolstered our confidence in the robustness of this relationship, much like a sturdy umbrella in a gusty storm.
Fig. 1 presents a scatterplot that visually encapsulates the strong correlation between these seemingly unrelated phenomena. The points on the plot form an almost poetic dance, with each data point swaying to the tune of this whimsical waltz across the Pacific. If we may wax poetic for a moment, it's as if the winds of Oklahoma City are whispering their secrets to the kerosene lamps in Japan, creating an atmospheric symphony that defies geographic boundaries.
These findings not only piqued our curiosity but also tickled our academic fancies, prompting us to ponder the myriad possible explanations for this unexpected connection. Whether it's the meandering whims of wind patterns or the cultural nuances that shape energy consumption, we found ourselves steeped in a delightful blend of scientific inquiry and whimsy that reignited our passion for unraveling the mysteries of the natural world.
So, dear readers, as we wrap up this section of our scientific escapade, we leave you with a spark of intrigue and a dash of humor. There may be more to the winds and kerosene lamps than meets the eye, and we invite you to join us in this merry pursuit of knowledge, where every gust of discovery brings with it a whiff of wonder and a pinch of playful curiosity.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our whimsical journey into the peculiar correlation between air pollution in Oklahoma City and kerosene consumption in Japan has been nothing short of a delightful romp through the whimsies of atmospheric connections. As we wrap up our findings, it's like finding the proverbial needle in a haystack, only this time the needle is an unexpected statistical relationship and the haystack is a mash-up of wind patterns and kerosene fumes.

Our data revealed a correlation coefficient of 0.6285582 and an r-squared value that's as captivating as a riddle wrapped in an enigma. It's almost as if the air pollution in Oklahoma City is sending secret love letters to the kerosene lamps in Japan, creating a romantic intrigue that spans continents.

But let's not lose ourselves in the romance of statistical significance. Our findings may raise more questions than they answer, like why the winds of Oklahoma City and the glow of kerosene lamps are engaging in a cross-continental tango. We also urge the scientific community to appreciate the humor in this unexpected connection – who knew that air pollution and kerosene could make for such a quirky pair?

Alas, as we bid adieu to this curious correlation, we assert with confidence that no further research is needed in this area. After all, how much more whimsy can one handle in the world of academic inquiry? We have unraveled the mirthful mystery at hand, and it's time to let these unconventional bedfellows – air pollution and kerosene – dance into the sunset of statistical oddities.


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 A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Atmospheric Anomalies and Global Energy Trends


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 A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Transcontinental Atmospheric Research and Exploration (STAR-E)


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 A Breezy Connection: Exploring the Correlation Between Air Pollution in Oklahoma City and Kerosene Consumption in Japan with an abstract of In this study, we set out to investigate the intriguing connection between air pollution in Oklahoma City and kerosene usage in Japan. Utilizing data from the Environmental Protection Agency and the Energy Information Administration, our research team found a correlation coefficient of 0.6285582 and p < 0.01 for the period from 1980 to 2022. Our findings suggest that there might be an unexpected link between these two seemingly disparate phenomena. The potential causative or confounding factors, including wind patterns, fuel consumption trends, and cultural exchanges, present a rich tapestry of inquiry and intrigue. Our whimsical journey into this peculiar association sheds light on the whimsies of the atmospheric interplay and may inspire further exploration into the delightful dance of environmental influences across continents.

ChatGPT:

Air pollution, Oklahoma City, kerosene consumption, Japan, correlation, environmental protection agency, energy information administration, wind patterns, fuel consumption trends, cultural exchanges, atmospheric interplay, environmental influences, whimsical journey

*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 Oklahoma City
Detailed data title: Percentage of days with air quality at 'unhealthy for sensitive groups' or worse in Oklahoma City, OK
Source: Environmental Protection Agency
See what else correlates with Air pollution in Oklahoma City

Kerosene used in Japan
Detailed data title: Volume of kerosene used consumed in Japan in millions of barrels per day
Source: Energy Information Administration
See what else correlates with Kerosene used in Japan

Correlation r = 0.6285582 (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 = 0.3950854 (Coefficient of determination)
This means 39.5% of the change in the one variable (i.e., Kerosene used in Japan) is predictable based on the change in the other (i.e., Air pollution in Oklahoma City) over the 43 years from 1980 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 6.4E-6. 0.0000063819195424708130000000
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 0.63 in 0.00064% of random cases. Said differently, if you correlated 156,693 random variables You don't actually need 156 thousand variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 42 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 42 because we have two variables measured over a period of 43 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.

[ 0.4, 0.78 ] 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.
1980198119821983198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022
Air pollution in Oklahoma City (Bad air quality days)8.743178.219184.931519.3150718.03289.315076.8493212.602712.02197.945215.753426.849323.825143.8356210.684912.32886.010936.8493216.43849.04119.8360710.68499.863018.493153.551919.041113.97262.739732.732244.383563.013712.054810.65572.191781.369860.5479450.8196721.917813.287670.5479451.366122.739732.46575
Kerosene used in Japan (Million Barrels/Day)411435405388446.787425.786446.674442.901486.158462.027456.923469.06477.519484.899483.849508.43530.224497.789491.205508.433511.891528.014510.433516.132473.361511.31456.685400.203362.306348.447350.266335.937345.492312.348298.266275.732284.899288.449266.734248.584245.216236.627227.885




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([8.74317,8.21918,4.93151,9.31507,18.0328,9.31507,6.84932,12.6027,12.0219,7.94521,5.75342,6.84932,3.82514,3.83562,10.6849,12.3288,6.01093,6.84932,16.4384,9.0411,9.83607,10.6849,9.86301,8.49315,3.55191,9.0411,13.9726,2.73973,2.73224,4.38356,3.0137,12.0548,10.6557,2.19178,1.36986,0.547945,0.819672,1.91781,3.28767,0.547945,1.36612,2.73973,2.46575,])
array_2 = np.array([411,435,405,388,446.787,425.786,446.674,442.901,486.158,462.027,456.923,469.06,477.519,484.899,483.849,508.43,530.224,497.789,491.205,508.433,511.891,528.014,510.433,516.132,473.361,511.31,456.685,400.203,362.306,348.447,350.266,335.937,345.492,312.348,298.266,275.732,284.899,288.449,266.734,248.584,245.216,236.627,227.885,])
array_1_name = "Air pollution in Oklahoma City"
array_2_name = "Kerosene used in Japan"

# 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 may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

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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