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Spurious correlation #2,702 · 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 Bellefontaine, Ohio and the second variable is Goals Scored by Winning Team in Stanley Cup Finals.  The chart goes from 1990 to 1999, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air pollution decreased in Bellefontaine, Ohio, residents had an easier time breathing and felt more energized. This led to an influx of amateur hockey players with newfound stamina and drive. These new, improved players eventually made their way to the professional leagues, raising the overall skill level of the teams. With the competition fiercer than ever, it became harder for the winning team to score goals in the Stanley Cup Finals. So, cleaner air in Ohio inadvertently elevated the game of hockey to new, breath-taking heights, resulting in fewer goals for the winning team.

Model: dalle-3
Prompt: An image that looks like it is a scene from 'Star Wars', depicting this scene: On a clear morning in Bellefontaine, Ohio, the air is filled with the sound of cheering fans. While the Stanley Cup Finals come to a close, the winning team celebrates their victory with a parade through the town. The players showcase their exceptional defensive skills to secure the win with a low number of goals scored. The futuristic and advanced setting of 'Star Wars' is included to give a unique and intriguing twist to the celebratory sports parade. 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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. 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: Data cyber art Scalar art Pop art An image that looks like it is a scene from 'Star Wars' Parallax art
ChatGPT: An image that looks like it is a scene from 'Star Wars'

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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals, in the following situation: Because with cleaner air, players could breathe better, leading to more energy expended on defense, resulting in fewer goals scored.. Keep the description simple.
ChatGPT: On a clear morning in Bellefontaine, Ohio, the air is filled with the sound of cheering fans. As the Stanley Cup Finals come to a close, the winning team celebrates their victory with a parade through the town. With the recent improvements in air quality, the players move swiftly and breath easily, showcasing their exceptional defensive skills to secure the win with a low number of goals scored.

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: [ An image that looks like it is a scene from 'Star Wars' ] and depicting this scene: On a clear morning in Bellefontaine, Ohio, the air is filled with the sound of cheering fans. As the Stanley Cup Finals come to a close, the winning team celebrates their victory with a parade through the town. With the recent improvements in air quality, the players move swiftly and breath easily, showcasing their exceptional defensive skills to secure the win with a low number of goals scored. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: An image that looks like it is a scene from 'Star Wars', depicting this scene: On a clear morning in Bellefontaine, Ohio, the air is filled with the sound of cheering fans. While the Stanley Cup Finals come to a close, the winning team celebrates their victory with a parade through the town. The players showcase their exceptional defensive skills to secure the win with a low number of goals scored. The futuristic and advanced setting of 'Star Wars' is included to give a unique and intriguing twist to the celebratory sports parade.

*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 Bellefontaine, Ohio caused Goals Scored by Winning Team in Stanley Cup Finals to decrease. Make it feel plausible.

AI academic paper

(Because p < 0.01)
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

The Journal of Environmental Shenanigans

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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Make the title punny if you can come up with clever pun. If not, just make it sound clever.

Your research team used data from Environmental Protection Agency and Wikipedia to assess this nagging question. You found a correlation coefficient of 0.9317802 and p < 0.01 for 1990 to 1999.

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]]
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

[[ABSTRACT]]
This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.


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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

[[ABSTRACT]]
This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The phenomenon of air pollution has long been a subject of grave concern for environmental scientists and policymakers alike. Proliferation of pollutants like ozone, particulate matter, and nitrogen dioxide has been associated with a multitude of adverse health effects, from respiratory illnesses to cardiovascular diseases. However, as researchers delved deeper into the data, they stumbled upon something quite unexpected - a surprising correlation between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals.

It is worth noting the initial skepticism that greeted this peculiar connection. Indeed, the notion that the quality of the air in a small Ohio city could somehow influence the outcome of the premier ice hockey championship seemed as preposterous as having a penguin in a sauna. Nevertheless, this study aims to unravel the mystery behind this unforeseen correlation while maintaining the scientific rigor vital to such investigation. Through meticulous data analysis and statistical modeling, we seek to shed light on this ozone-laden enigma.

The hypothesis that air pollution in Bellefontaine can influence the performance of teams in the Stanley Cup Finals may strike one as being as thin as the air in a high-altitude rink. However, our analysis uncovered a surprisingly strong correlation coefficient of 0.9317802 and a p-value that is lower than a puck in a penalty box - less than 0.01. These statistical results cast doubt on the notion that this association is a mere fluke, prompting us to explore potential explanations with a healthy dose of curiosity and skepticism.

This paper presents an in-depth exploration of the data from 1990 to 1999, analyzing air quality measures and the corresponding number of goals scored by the triumphant team in the Stanley Cup Finals. We endeavor to make sense of this puckish relationship and consider its implications for sports aficionados, environmental advocates, and ice hockey enthusiasts alike. While the findings may appear to drift into uncharted and whimsical territory, they hold promise for uncovering the unseen influences on sports outcomes and may open doors for stimulating discussions on the interplay between environmental factors and athletic achievements. Indeed, the pursuit of knowledge can sometimes lead us to unexpected goals, even if they are of the ice hockey variety.


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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

[[ABSTRACT]]
This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The phenomenon of air pollution has long been a subject of grave concern for environmental scientists and policymakers alike. Proliferation of pollutants like ozone, particulate matter, and nitrogen dioxide has been associated with a multitude of adverse health effects, from respiratory illnesses to cardiovascular diseases. However, as researchers delved deeper into the data, they stumbled upon something quite unexpected - a surprising correlation between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals.
It is worth noting the initial skepticism that greeted this peculiar connection. Indeed, the notion that the quality of the air in a small Ohio city could somehow influence the outcome of the premier ice hockey championship seemed as preposterous as having a penguin in a sauna. Nevertheless, this study aims to unravel the mystery behind this unforeseen correlation while maintaining the scientific rigor vital to such investigation. Through meticulous data analysis and statistical modeling, we seek to shed light on this ozone-laden enigma.
The hypothesis that air pollution in Bellefontaine can influence the performance of teams in the Stanley Cup Finals may strike one as being as thin as the air in a high-altitude rink. However, our analysis uncovered a surprisingly strong correlation coefficient of 0.9317802 and a p-value that is lower than a puck in a penalty box - less than 0.01. These statistical results cast doubt on the notion that this association is a mere fluke, prompting us to explore potential explanations with a healthy dose of curiosity and skepticism.
This paper presents an in-depth exploration of the data from 1990 to 1999, analyzing air quality measures and the corresponding number of goals scored by the triumphant team in the Stanley Cup Finals. We endeavor to make sense of this puckish relationship and consider its implications for sports aficionados, environmental advocates, and ice hockey enthusiasts alike. While the findings may appear to drift into uncharted and whimsical territory, they hold promise for uncovering the unseen influences on sports outcomes and may open doors for stimulating discussions on the interplay between environmental factors and athletic achievements. Indeed, the pursuit of knowledge can sometimes lead us to unexpected goals, even if they are of the ice hockey variety.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The connection between air pollution levels in a small town in Ohio and the number of goals scored in the Stanley Cup Finals may seem as unrelated as apples and oranges, but our exploration of the existing literature has revealed some intriguing insights. Smith and Doe (2010) first introduced the idea of environmental factors affecting sports outcomes in their seminal work "Air Quality and Athletic Performance." The authors found that high levels of air pollutants, including ozone, were associated with decreased athletic performance in various outdoor sports, such as track and field events and long-distance running. While their focus was on individual sports, their findings prompted further investigation into the potential influence of air quality on team sports, laying the groundwork for our current study.

Jones (2015) further delved into the impact of environmental conditions on sports, including the effects of air pollution on spectator experience in his book "Pollution and the Sporting Spirit." His analysis extended beyond the athletes themselves, examining how air quality could influence the overall ambiance and energy of sporting events. Although his work did not specifically address the correlation with goal-scoring in ice hockey, his broader perspective on environmental influences in sports inspired our examination of this unconventional relationship.

Moving beyond the academic realm, popular culture has also contributed to our understanding of unexpected connections. Fictitious narratives, such as "The Air Quality Chronicles" by Jane Air, present fantastical tales of environmental phenomena influencing seemingly unrelated events, albeit in a whimsical and allegorical manner. While the content of such fiction may appear far removed from scientific inquiry, we cannot discount the potential for imaginative literature to spark unconventional ideas and perspectives.

In a non-traditional approach to literature review, we also consulted cartoons and children's shows for insights into the interplay of environmental factors and sports outcomes. Through episodes like "Captain Planet and the Power of Eco-Stadiums," we gained a tongue-in-cheek understanding of the potential impact of air pollution on athletic performance, albeit within the context of animated superhero adventures.

As we navigate this uncharted terrain of environmental influences on sports, we must not dismiss unconventional sources of inspiration that may offer unique angles for exploration. The convergence of academic research, fiction, and popular media provides a rich tapestry of perspectives as we embark on this colorful journey of discovery, where the unexpected beckons and where air pollution becomes a player in the game of goals.


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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Wikipedia . You used data from 1990 to 1999

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]]
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

[[ABSTRACT]]
This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.

[[INTRODUCTION]]
The phenomenon of air pollution has long been a subject of grave concern for environmental scientists and policymakers alike. Proliferation of pollutants like ozone, particulate matter, and nitrogen dioxide has been associated with a multitude of adverse health effects, from respiratory illnesses to cardiovascular diseases. However, as researchers delved deeper into the data, they stumbled upon something quite unexpected - a surprising correlation between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals.
It is worth noting the initial skepticism that greeted this peculiar connection. Indeed, the notion that the quality of the air in a small Ohio city could somehow influence the outcome of the premier ice hockey championship seemed as preposterous as having a penguin in a sauna. Nevertheless, this study aims to unravel the mystery behind this unforeseen correlation while maintaining the scientific rigor vital to such investigation. Through meticulous data analysis and statistical modeling, we seek to shed light on this ozone-laden enigma.
The hypothesis that air pollution in Bellefontaine can influence the performance of teams in the Stanley Cup Finals may strike one as being as thin as the air in a high-altitude rink. However, our analysis uncovered a surprisingly strong correlation coefficient of 0.9317802 and a p-value that is lower than a puck in a penalty box - less than 0.01. These statistical results cast doubt on the notion that this association is a mere fluke, prompting us to explore potential explanations with a healthy dose of curiosity and skepticism.
This paper presents an in-depth exploration of the data from 1990 to 1999, analyzing air quality measures and the corresponding number of goals scored by the triumphant team in the Stanley Cup Finals. We endeavor to make sense of this puckish relationship and consider its implications for sports aficionados, environmental advocates, and ice hockey enthusiasts alike. While the findings may appear to drift into uncharted and whimsical territory, they hold promise for uncovering the unseen influences on sports outcomes and may open doors for stimulating discussions on the interplay between environmental factors and athletic achievements. Indeed, the pursuit of knowledge can sometimes lead us to unexpected goals, even if they are of the ice hockey variety.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the curious connection between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals, a comprehensive and methodologically sound approach was adopted.

Data Collection: The research team amassed data on air quality measures, including ozone levels, particulate matter, and nitrogen dioxide concentrations, from the Environmental Protection Agency database. Additionally, information regarding the victorious team's performance, specifically the number of goals scored in each Stanley Cup Final match from 1990 to 1999, was gathered primarily from trustworthy sources such as Wikipedia.

Data Analysis: Following the collection of data, a series of convoluted statistical analyses and modeling approaches were employed to discern any relationship between air pollution levels and the number of goals scored by the triumphant team. Mixed-effects models, Bayesian inference, and even a touch of color theory were utilized to explore any potential patterns within the data.

Correlation Assessment: To quantify the strength of the association between air pollution levels and ice hockey prowess, a range of correlation coefficients, including the Pearson correlation coefficient and the more quirky Spearman's rank correlation coefficient, were calculated. These coefficients were then interpreted with the cautious optimism befitting the investigation of such a seemingly whimsical association.

Regression Modeling: To probe further into the observed correlation, linear regression analysis was applied, accounting for various potential confounding factors such as geographic location, team composition, and the possibility of an unexpected visit from the Zamboni. Model fit and predictive accuracy were evaluated to ensure that our conclusions were as sturdy as the boards surrounding an ice hockey rink.

Sensitivity Analysis: Sensitivity analyses were performed to ascertain the robustness of our findings to different modeling assumptions, outlier removal, and even the occasional power play from unexpected anomalies in the data.

Significance Testing: Lastly, significance testing was employed, comparing the observed association with statistical expectations under the assumption of no relationship between air pollution levels and goals scored. The resulting p-values were scrutinized with the rigor of a referee reviewing a contentious play, ensuring that any suggested association was not simply a lucky bounce.

By employing these multifaceted and occasionally quirky research methodologies, we sought to examine this unconventional relationship between air pollution and ice hockey success with the gravity it deserves, while also recognizing the lighthearted potential of exploring the unexpected twists and turns of scientific inquiry.


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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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

For the time period 1990 to 1999, you found a correlation 0.9317802, r-squared of 0.8682143, 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]]
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

[[ABSTRACT]]
This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The phenomenon of air pollution has long been a subject of grave concern for environmental scientists and policymakers alike. Proliferation of pollutants like ozone, particulate matter, and nitrogen dioxide has been associated with a multitude of adverse health effects, from respiratory illnesses to cardiovascular diseases. However, as researchers delved deeper into the data, they stumbled upon something quite unexpected - a surprising correlation between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals.
It is worth noting the initial skepticism that greeted this peculiar connection. Indeed, the notion that the quality of the air in a small Ohio city could somehow influence the outcome of the premier ice hockey championship seemed as preposterous as having a penguin in a sauna. Nevertheless, this study aims to unravel the mystery behind this unforeseen correlation while maintaining the scientific rigor vital to such investigation. Through meticulous data analysis and statistical modeling, we seek to shed light on this ozone-laden enigma.
The hypothesis that air pollution in Bellefontaine can influence the performance of teams in the Stanley Cup Finals may strike one as being as thin as the air in a high-altitude rink. However, our analysis uncovered a surprisingly strong correlation coefficient of 0.9317802 and a p-value that is lower than a puck in a penalty box - less than 0.01. These statistical results cast doubt on the notion that this association is a mere fluke, prompting us to explore potential explanations with a healthy dose of curiosity and skepticism.
This paper presents an in-depth exploration of the data from 1990 to 1999, analyzing air quality measures and the corresponding number of goals scored by the triumphant team in the Stanley Cup Finals. We endeavor to make sense of this puckish relationship and consider its implications for sports aficionados, environmental advocates, and ice hockey enthusiasts alike. While the findings may appear to drift into uncharted and whimsical territory, they hold promise for uncovering the unseen influences on sports outcomes and may open doors for stimulating discussions on the interplay between environmental factors and athletic achievements. Indeed, the pursuit of knowledge can sometimes lead us to unexpected goals, even if they are of the ice hockey variety.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals from 1990 to 1999 yielded some remarkably intriguing results. The correlation coefficient of 0.9317802 suggests a strong positive relationship between these seemingly unrelated variables, indicating that as air pollution levels in Bellefontaine rose, so did the number of goals scored by the victorious team in the Stanley Cup Finals. This finding was further supported by an r-squared value of 0.8682143, underscoring the substantial proportion of the variation in the goals scored that is explained by changes in air pollution levels.

The statistical significance of the relationship was confirmed by the p-value of less than 0.01, providing compelling evidence that the observed association between air pollution and the number of goals scored is not merely a fortuitous occurrence. Fig. 1 illustrates this robust correlation in a scatterplot, portraying the trend of increasing goals scored as air pollution levels climb, much like the ascent of a slap shot striking the top corner of the net.

These results present a remarkable twist in the narrative of environmental and sports interactions, causing us to contemplate the unforeseen influences that may impact athletic performances. While the notion of air pollution influencing the outcome of sporting events may initially sound as plausible as a Zamboni taking flight, the findings of this study suggest otherwise. The implications of this peculiar relationship extend beyond the realm of sports, sparking discussions about the potential effects of environmental factors on competitive outcomes and opening doors for further exploration into the unexplored intersections of air quality and athletic achievements. Ultimately, these results serve as a reminder that even seemingly whimsical inquiries may lead to enlightening discoveries, propelling our understanding of the multifaceted connections between the environment and human endeavors.


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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

[[ABSTRACT]]
This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.

[[LITERATURE REVIEW]]
The connection between air pollution levels in a small town in Ohio and the number of goals scored in the Stanley Cup Finals may seem as unrelated as apples and oranges, but our exploration of the existing literature has revealed some intriguing insights. Smith and Doe (2010) first introduced the idea of environmental factors affecting sports outcomes in their seminal work "Air Quality and Athletic Performance." The authors found that high levels of air pollutants, including ozone, were associated with decreased athletic performance in various outdoor sports, such as track and field events and long-distance running. While their focus was on individual sports, their findings prompted further investigation into the potential influence of air quality on team sports, laying the groundwork for our current study.
Jones (2015) further delved into the impact of environmental conditions on sports, including the effects of air pollution on spectator experience in his book "Pollution and the Sporting Spirit." His analysis extended beyond the athletes themselves, examining how air quality could influence the overall ambiance and energy of sporting events. Although his work did not specifically address the correlation with goal-scoring in ice hockey, his broader perspective on environmental influences in sports inspired our examination of this unconventional relationship.
Moving beyond the academic realm, popular culture has also contributed to our understanding of unexpected connections. Fictitious narratives, such as "The Air Quality Chronicles" by Jane Air, present fantastical tales of environmental phenomena influencing seemingly unrelated events, albeit in a whimsical and allegorical manner. While the content of such fiction may appear far removed from scientific inquiry, we cannot discount the potential for imaginative literature to spark unconventional ideas and perspectives.
In a non-traditional approach to literature review, we also consulted cartoons and children's shows for insights into the interplay of environmental factors and sports outcomes. Through episodes like "Captain Planet and the Power of Eco-Stadiums," we gained a tongue-in-cheek understanding of the potential impact of air pollution on athletic performance, albeit within the context of animated superhero adventures.
As we navigate this uncharted terrain of environmental influences on sports, we must not dismiss unconventional sources of inspiration that may offer unique angles for exploration. The convergence of academic research, fiction, and popular media provides a rich tapestry of perspectives as we embark on this colorful journey of discovery, where the unexpected beckons and where air pollution becomes a player in the game of goals.

[[RESULTS]]
The analysis of the relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals from 1990 to 1999 yielded some remarkably intriguing results. The correlation coefficient of 0.9317802 suggests a strong positive relationship between these seemingly unrelated variables, indicating that as air pollution levels in Bellefontaine rose, so did the number of goals scored by the victorious team in the Stanley Cup Finals. This finding was further supported by an r-squared value of 0.8682143, underscoring the substantial proportion of the variation in the goals scored that is explained by changes in air pollution levels.
The statistical significance of the relationship was confirmed by the p-value of less than 0.01, providing compelling evidence that the observed association between air pollution and the number of goals scored is not merely a fortuitous occurrence. Fig. 1 illustrates this robust correlation in a scatterplot, portraying the trend of increasing goals scored as air pollution levels climb, much like the ascent of a slap shot striking the top corner of the net.
These results present a remarkable twist in the narrative of environmental and sports interactions, causing us to contemplate the unforeseen influences that may impact athletic performances. While the notion of air pollution influencing the outcome of sporting events may initially sound as plausible as a Zamboni taking flight, the findings of this study suggest otherwise. The implications of this peculiar relationship extend beyond the realm of sports, sparking discussions about the potential effects of environmental factors on competitive outcomes and opening doors for further exploration into the unexplored intersections of air quality and athletic achievements. Ultimately, these results serve as a reminder that even seemingly whimsical inquiries may lead to enlightening discoveries, propelling our understanding of the multifaceted connections between the environment and human endeavors.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The unexpected and seemingly inconceivable findings of a strong positive correlation between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals from 1990 to 1999 undoubtedly prompt a reevaluation of the potential influences on sports outcomes. Our exploration of the existing literature not only provided a theoretical groundwork for our study but also unearthed some unanticipated sources of insight. The whimsical musings from the fictitious "Air Quality Chronicles" by Jane Air and the animated adventures of "Captain Planet and the Power of Eco-Stadiums" may have seemed far-removed, but their influence on our understanding of the interplay between environmental factors and sporting events cannot be disregarded. As we reflect on these findings, it becomes clear that the unexpected connections painted in fiction may not be as divorced from reality as we once thought, echoing the sentiment expressed by the inimitable philosopher, Friedrich Nietzsche, who mused, "There are no facts, only interpretations."

Our results align with prior research by Smith and Doe (2010), reinforcing the notion that environmental factors, including air pollution, can exert an influence on athletic performance. The study by Jones (2015) also contributed to our broader understanding of the impact of environmental conditions on sports, underscoring the need to consider the holistic environment in which athletic events unfold. The echoes of these prior works reverberate in our findings, affirming the pertinence of environmental influences across diverse sports, including the unexpected correlation unearthed in the realm of ice hockey. It seems that even the most seemingly outrageous ideas can hold a kernel of truth, echoing the words of the renowned humorist Mark Twain, who quipped, "Truth is stranger than fiction, but it is because Fiction is obliged to stick to possibilities; Truth isn't."

The statistical significance and substantial correlation coefficient of our results raise intriguing questions about the mechanisms underlying the observed relationship between air pollution and goal-scoring in the Stanley Cup Finals. While the idea of air pollution acting as an inadvertent teammate in the game of goals may seem as far-fetched as a goalie taking up figure skating, the robustness of our findings necessitates a deeper exploration of the potential pathways through which air quality may exert its influence on athletic outcomes. These unexpected twists in the narrative of environmental and sports interactions underscore the complexity of the interconnected web of variables at play, prompting us to consider the myriad ways in which the environment molds the outcomes of human endeavors, often revealing surprising connections as formidable as a sudden breakaway.

In conclusion, the unanticipated convergence of air pollution levels and the number of goals scored in the Stanley Cup Finals not only presents a departure from conventional assumptions but also serves as a lighthearted reminder of the unpredictable twists that can arise in the pursuit of knowledge. With a nod to the unexpected, we are reminded of the words of renowned physicist Niels Bohr, who remarked, "Prediction is very difficult, especially if it's about the future." As we thread the meandering path of inquiry, may we continue to embrace the whimsy of the unexpected and infuse our scholarly pursuits with the spirit of inquisitive wonderment, for it is in the serendipitous moments that true revelations often await, much like a perfectly timed power-play goal in overtime.


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 Bellefontaine, Ohio and Goals Scored by Winning Team in Stanley Cup Finals. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals

[[ABSTRACT]]
This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.

[[INTRDUCTION]]
The phenomenon of air pollution has long been a subject of grave concern for environmental scientists and policymakers alike. Proliferation of pollutants like ozone, particulate matter, and nitrogen dioxide has been associated with a multitude of adverse health effects, from respiratory illnesses to cardiovascular diseases. However, as researchers delved deeper into the data, they stumbled upon something quite unexpected - a surprising correlation between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals.
It is worth noting the initial skepticism that greeted this peculiar connection. Indeed, the notion that the quality of the air in a small Ohio city could somehow influence the outcome of the premier ice hockey championship seemed as preposterous as having a penguin in a sauna. Nevertheless, this study aims to unravel the mystery behind this unforeseen correlation while maintaining the scientific rigor vital to such investigation. Through meticulous data analysis and statistical modeling, we seek to shed light on this ozone-laden enigma.
The hypothesis that air pollution in Bellefontaine can influence the performance of teams in the Stanley Cup Finals may strike one as being as thin as the air in a high-altitude rink. However, our analysis uncovered a surprisingly strong correlation coefficient of 0.9317802 and a p-value that is lower than a puck in a penalty box - less than 0.01. These statistical results cast doubt on the notion that this association is a mere fluke, prompting us to explore potential explanations with a healthy dose of curiosity and skepticism.
This paper presents an in-depth exploration of the data from 1990 to 1999, analyzing air quality measures and the corresponding number of goals scored by the triumphant team in the Stanley Cup Finals. We endeavor to make sense of this puckish relationship and consider its implications for sports aficionados, environmental advocates, and ice hockey enthusiasts alike. While the findings may appear to drift into uncharted and whimsical territory, they hold promise for uncovering the unseen influences on sports outcomes and may open doors for stimulating discussions on the interplay between environmental factors and athletic achievements. Indeed, the pursuit of knowledge can sometimes lead us to unexpected goals, even if they are of the ice hockey variety.

[[RESULTS]]
The analysis of the relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals from 1990 to 1999 yielded some remarkably intriguing results. The correlation coefficient of 0.9317802 suggests a strong positive relationship between these seemingly unrelated variables, indicating that as air pollution levels in Bellefontaine rose, so did the number of goals scored by the victorious team in the Stanley Cup Finals. This finding was further supported by an r-squared value of 0.8682143, underscoring the substantial proportion of the variation in the goals scored that is explained by changes in air pollution levels.
The statistical significance of the relationship was confirmed by the p-value of less than 0.01, providing compelling evidence that the observed association between air pollution and the number of goals scored is not merely a fortuitous occurrence. Fig. 1 illustrates this robust correlation in a scatterplot, portraying the trend of increasing goals scored as air pollution levels climb, much like the ascent of a slap shot striking the top corner of the net.
These results present a remarkable twist in the narrative of environmental and sports interactions, causing us to contemplate the unforeseen influences that may impact athletic performances. While the notion of air pollution influencing the outcome of sporting events may initially sound as plausible as a Zamboni taking flight, the findings of this study suggest otherwise. The implications of this peculiar relationship extend beyond the realm of sports, sparking discussions about the potential effects of environmental factors on competitive outcomes and opening doors for further exploration into the unexplored intersections of air quality and athletic achievements. Ultimately, these results serve as a reminder that even seemingly whimsical inquiries may lead to enlightening discoveries, propelling our understanding of the multifaceted connections between the environment and human endeavors.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the unexpected correlation between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals from 1990 to 1999 has left us skating on thin ice. The robust correlation coefficient of 0.9317802 and the statistically significant p-value of less than 0.01 speak to the surprising strength of this association, leaving us breathless as we attempt to wrap our heads around this puckish phenomenon. Fig. 1 captures this intriguing relationship, illustrating the upward trend of goals scored as air pollution levels ascend, much like a slap shot soaring toward the net.

While these findings may sound as implausible as a hockey team playing on a frozen pond in July, they prompt us to ponder the unforeseen influences that may affect athletic performances. The implications of this peculiar relationship extend beyond the realm of sports, arousing curiosity about the potential impact of environmental factors on competitive outcomes and encouraging further exploration into the uncharted intersections of air quality and athletic achievements. This unexpected connection may lead us to question whether there is more to winning in sports than meets the eye, or perhaps more than meets the air.

However, it is crucial to note that these findings should be taken with a grain of ice - further research and replication of this analysis are necessary to corroborate these results on the effect of air pollution on sports outcomes. While this study has opened the door to a unique avenue of inquiry, we must exercise caution in interpreting these findings. Ultimately, the pursuit of knowledge sometimes leads us to unexpected goals, even if they are of the ice hockey variety. Nonetheless, it is safe to conclude that further research in this area may not be the most pressing matter on our environmental and sporting agenda.


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 Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Environmental Shenanigans


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 Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals. Respond only with the name of a fictional organization.

ChatGPT:

The Global Institute for Environmental Health and Hockey Research


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 Air Pollution Strikes Again: The Ozone Offense in Stanley Cup Finals with an abstract of This paper examines the unexpected and seemingly ludicrous relationship between air pollution levels in Bellefontaine, Ohio, and the number of goals scored by the winning team in the Stanley Cup Finals. Utilizing data from the Environmental Protection Agency and Wikipedia, a thorough analysis covering the period from 1990 to 1999 was conducted. Surprisingly, our findings indicate a remarkably high correlation coefficient of 0.9317802 and a statistically significant p-value of less than 0.01, providing evidence for the association between these seemingly unrelated phenomena. The implications of these findings and their potential impact on sporting events and environmental policies will be discussed. While these results may come as a breath of fresh air to some, they certainly leave us gasping for more explanations.

ChatGPT:

air pollution, ozone, Bellefontaine Ohio, Stanley Cup Finals, goals scored, environmental protection agency, EPA, correlation coefficient, statistical analysis, sporting events, environmental policies

*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 Bellefontaine, Ohio
Detailed data title: Percentage of days 'unhealthy' or worse air quality in Bellefontaine, OH
Source: Environmental Protection Agency
See what else correlates with Air pollution in Bellefontaine, Ohio

Goals Scored by Winning Team in Stanley Cup Finals
Source: Wikipedia
See what else correlates with Goals Scored by Winning Team in Stanley Cup Finals

Correlation r = 0.9317802 (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 = 0.8682143 (Coefficient of determination)
This means 86.8% of the change in the one variable (i.e., Goals Scored by Winning Team in Stanley Cup Finals) is predictable based on the change in the other (i.e., Air pollution in Bellefontaine, Ohio) over the 10 years from 1990 through 1999.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 8.7E-5. 0.0000872199567610874800000000
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 0.93 in 0.0087% of random cases. Said differently, if you correlated 11,465 random variables Which I absolutely did.
with the same 9 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 9 because we have two variables measured over a period of 10 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.

[ 0.73, 0.98 ] 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.
1990199119921993199419951996199719981999
Air pollution in Bellefontaine, Ohio (Bad air quality days)0.06403940.07582940.0281690.009708740.04784690.02898550.01639340.02762430.01086960.00478469
Goals Scored by Winning Team in Stanley Cup Finals (Goals scored)20281515211615161313




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([0.0640394,0.0758294,0.028169,0.00970874,0.0478469,0.0289855,0.0163934,0.0276243,0.0108696,0.00478469,])
array_2 = np.array([20,28,15,15,21,16,15,16,13,13,])
array_1_name = "Air pollution in Bellefontaine, Ohio"
array_2_name = "Goals Scored by Winning Team in Stanley Cup Finals"

# 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: 2702 · Black Variable ID: 22154 · Red Variable ID: 538
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