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Spurious correlation #1,586 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is The distance between Uranus and Saturn and the second variable is Season wins for the New England Patriots.  The chart goes from 1975 to 2023, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The gravitational pull from Uranus was really messing with the Patriots' passing game. You could say it was throwing off their "butt-erception" ratio! And as Saturn drifted closer, it created a "ring" of confusion for their opponents, leading to some stellar victories. It turns out, when it comes to football success, the key is really all in the astral "alignment"!

Model: dalle-3
Prompt: Generate an image of a surreal football field extending across the vast expanse between Uranus and Saturn. At one end, a colossal New England Patriots logo proudly stands, representing their season wins, while the distance between the planets is marked along the field. Capture the dreamlike harmony of this scene with elements of magic realism. 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: The distance between Uranus and Saturn and Season wins for the New England Patriots. 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: Cybernetic art Psychedelic Brutalism Magic realism Magic realism
ChatGPT: Magic realism

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 The distance between Uranus and Saturn and Season wins for the New England Patriots together. Keep the description simple.
ChatGPT: A large football field stretches between Uranus and Saturn, with the New England Patriots logo at one end representing their season wins and the planets marking the distance between them.

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: [ Magic realism ] and depicting this scene: A large football field stretches between Uranus and Saturn, with the New England Patriots logo at one end representing their season wins and the planets marking the distance between them. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a surreal football field extending across the vast expanse between Uranus and Saturn. At one end, a colossal New England Patriots logo proudly stands, representing their season wins, while the distance between the planets is marked along the field. Capture the dreamlike harmony of this scene with elements of magic realism.

*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 humerus 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 changes in The distance between Uranus and Saturn caused Season wins for the New England Patriots. Include a lot of jokes and puns.

AI academic paper

(Because p < 0.01)
Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success

Astrological Annals

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 dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between The distance between Uranus and Saturn and Season wins for the New England Patriots. 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 Caclculated using Astropy and Pro-Football-Reference.com to assess this nagging question. You found a correlation coefficient of 0.6082926 and p < 0.01 for 1975 to 2023.

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]]
"Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success"

[[ABSTRACT]]
This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between The distance between Uranus and Saturn and Season wins for the New England Patriots. 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]]
"Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success"

[[ABSTRACT]]
This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
INTRODUCTION

The field of astropredictive correlations has long been overshadowed by more traditional methods of analysis in sports and astrological research. However, this study delves into the unexplored realms of cosmic influences on terrestrial events, specifically the connection between the distance between Uranus and Saturn and the seasonal wins of the New England Patriots. While some may deem this investigation as far-fetched or eccentric, the findings hold potential to revolutionize the understanding of sports performance and cosmic influences on human affairs.

The New England Patriots, a team revered and reviled in equal measure, have carved a prominent niche in the annals of American football history. Their successes and failures have sparked debates, celebrations, and commiserations among fans and pundits alike. Amidst this fervor, the potential influence of celestial bodies on their seasonal outcomes lies mired in obscurity. This study aims to bring to light the nuanced and unorthodox factors that may contribute to the Patriots' triumphs and tribulations on the field.

The notion of celestial bodies exerting an influence on human affairs is not a new concept. Throughout history, various cultures and belief systems have ascribed significance to planetary movements and their potential effects on earthly events. Drawing upon this rich tapestry of astrological thought, this research embarks on a journey to transcend the conventional constraints of sporting analysis and delve into the cosmic ballet that may intertwine with the outcomes of football seasons.

The correlation at the crux of this study, the distance between Uranus and Saturn, provides a novel and unconventional approach to probing this celestial influence. The distant, enigmatic realms of the outer planets form the stage for this cosmic dance, where the gravitational interactions and alignments may hold unforeseen ramifications for events here on Earth. By scrutinizing these astral distances, a fresh perspective is unveiled, one that may hold significant implications for the understanding of sports phenomena and cosmic connections that transcend human comprehension.

An investigation of this nature echoes the spirit of scientific inquiry, casting a net beyond the customary boundaries of analysis and inviting unanticipated connections to emerge. As we venture into this uncharted frontier at the intersection of astroprediction and athletic achievements, we open the door to reevaluating the forces that shape the outcomes of sports competitions and perhaps even broaden our collective grasp of the cosmic tapestry that envelops our planet.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between The distance between Uranus and Saturn and Season wins for the New England Patriots. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
"Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success"

[[ABSTRACT]]
This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
The field of astropredictive correlations has long been overshadowed by more traditional methods of analysis in sports and astrological research. However, this study delves into the unexplored realms of cosmic influences on terrestrial events, specifically the connection between the distance between Uranus and Saturn and the seasonal wins of the New England Patriots. While some may deem this investigation as far-fetched or eccentric, the findings hold potential to revolutionize the understanding of sports performance and cosmic influences on human affairs.
The New England Patriots, a team revered and reviled in equal measure, have carved a prominent niche in the annals of American football history. Their successes and failures have sparked debates, celebrations, and commiserations among fans and pundits alike. Amidst this fervor, the potential influence of celestial bodies on their seasonal outcomes lies mired in obscurity. This study aims to bring to light the nuanced and unorthodox factors that may contribute to the Patriots' triumphs and tribulations on the field.
The notion of celestial bodies exerting an influence on human affairs is not a new concept. Throughout history, various cultures and belief systems have ascribed significance to planetary movements and their potential effects on earthly events. Drawing upon this rich tapestry of astrological thought, this research embarks on a journey to transcend the conventional constraints of sporting analysis and delve into the cosmic ballet that may intertwine with the outcomes of football seasons.

The correlation at the crux of this study, the distance between Uranus and Saturn, provides a novel and unconventional approach to probing this celestial influence. The distant, enigmatic realms of the outer planets form the stage for this cosmic dance, where the gravitational interactions and alignments may hold unforeseen ramifications for events here on Earth. By scrutinizing these astral distances, a fresh perspective is unveiled, one that may hold significant implications for the understanding of sports phenomena and cosmic connections that transcend human comprehension.
An investigation of this nature echoes the spirit of scientific inquiry, casting a net beyond the customary boundaries of analysis and inviting unanticipated connections to emerge. As we venture into this uncharted frontier at the intersection of astroprediction and athletic achievements, we open the door to reevaluating the forces that shape the outcomes of sports competitions and perhaps even broaden our collective grasp of the cosmic tapestry that envelops our planet.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The relationship between celestial phenomena and earthly events has been an area of interest for various scholars and enthusiasts alike. Scholars such as Smith (2000) and Doe (2015) have delved into the intricate and often enigmatic correlations between cosmic movements and human experiences, laying the groundwork for ventures into unexplored territory. Jones (2012) also provides insights into the potential impacts of celestial events on terrestrial affairs, stirring the imagination and curiosity of those intrigued by the interplay of the celestial and the mundane.

Venturing into the more practical realms of sports analysis, the works of "Astrological Playbook" by Starry Author (2005) and "Planetary Patterns in Professional Sports" by Celeste Gal (2018) have raised eyebrows and piqued interest in the potential celestial influences on athletic performance. However, as the research meanders into unconventional realms, it may encounter skepticism from those tethered to more traditional paradigms of sports analysis.

Turning to the world of fiction, the insight provided by "Cosmic Chronicles" by Stella Sci-Fi (2010) offers an imaginative portrayal of celestial influences on human endeavors, blurring the boundaries between reality and speculative fiction. A different approach is expounded upon in "The Stellar Strategist" by Leo Lit (2013), where celestial movements shape the destinies of protagonists in a tale woven with cosmic threads.

Children's television programming, such as "The Magic School Bus: Lost in Space" and "Bill Nye the Science Guy," have long captured the imaginations of young audiences with their portrayals of scientific concepts, including planetary orbits and celestial dynamics. These depictions, while tailored for a younger demographic, may have instilled a sense of fascination with the cosmos and cultivated an openness to unconventional associations between distant celestial bodies and earthly phenomena.

Therefore, the proponents and detractors of the astrological lens in sports analysis each contribute to a multidimensional conversation, one that traverses the realms of reality and imagination, skepticism and curiosity. As the literature reveals, the intersection of celestial dynamics and sports performance opens avenues for unconventional inquiry and perhaps a hint of cosmic comedy.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between The distance between Uranus and Saturn and Season wins for the New England Patriots. 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 Caclculated using Astropy and Pro-Football-Reference.com . You used data from 1975 to 2023

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]]
"Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success"

[[ABSTRACT]]
This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.

[[INTRODUCTION]]
INTRODUCTION
The field of astropredictive correlations has long been overshadowed by more traditional methods of analysis in sports and astrological research. However, this study delves into the unexplored realms of cosmic influences on terrestrial events, specifically the connection between the distance between Uranus and Saturn and the seasonal wins of the New England Patriots. While some may deem this investigation as far-fetched or eccentric, the findings hold potential to revolutionize the understanding of sports performance and cosmic influences on human affairs.
The New England Patriots, a team revered and reviled in equal measure, have carved a prominent niche in the annals of American football history. Their successes and failures have sparked debates, celebrations, and commiserations among fans and pundits alike. Amidst this fervor, the potential influence of celestial bodies on their seasonal outcomes lies mired in obscurity. This study aims to bring to light the nuanced and unorthodox factors that may contribute to the Patriots' triumphs and tribulations on the field.
The notion of celestial bodies exerting an influence on human affairs is not a new concept. Throughout history, various cultures and belief systems have ascribed significance to planetary movements and their potential effects on earthly events. Drawing upon this rich tapestry of astrological thought, this research embarks on a journey to transcend the conventional constraints of sporting analysis and delve into the cosmic ballet that may intertwine with the outcomes of football seasons.

The correlation at the crux of this study, the distance between Uranus and Saturn, provides a novel and unconventional approach to probing this celestial influence. The distant, enigmatic realms of the outer planets form the stage for this cosmic dance, where the gravitational interactions and alignments may hold unforeseen ramifications for events here on Earth. By scrutinizing these astral distances, a fresh perspective is unveiled, one that may hold significant implications for the understanding of sports phenomena and cosmic connections that transcend human comprehension.
An investigation of this nature echoes the spirit of scientific inquiry, casting a net beyond the customary boundaries of analysis and inviting unanticipated connections to emerge. As we venture into this uncharted frontier at the intersection of astroprediction and athletic achievements, we open the door to reevaluating the forces that shape the outcomes of sports competitions and perhaps even broaden our collective grasp of the cosmic tapestry that envelops our planet.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
The first step in this study involved the gathering of data pertaining to the distance between Uranus and Saturn, as well as the New England Patriots' seasonal wins. The astronomical data regarding the planetary distances was obtained from Astropy, a robust and reliable source of celestial information. The seasonal wins of the New England Patriots were culled from Pro-Football-Reference.com, a comprehensive repository of football statistics, ensuring a complete and thorough representation of the team's performance from 1975 to 2023.

Calculation of Interplanetary Distances:
Utilizing the ephemeris data provided by Astropy, the distances between Uranus and Saturn were calculated for each day in the specified time period. This process involved harnessing the power of celestial mechanics and complex mathematical algorithms to derive precise and accurate measurements of these interplanetary gaps. The resulting dataset provided a chronological record of the dynamic interplay between these distant giants of the solar system.

Quantification of New England Patriots' Seasonal Wins:
The seasonal wins of the New England Patriots were meticulously tabulated from the extensive archives of Pro-Football-Reference.com. By compiling the team's victories for each season within the designated timeframe, a comprehensive tally of their triumphs and defeats was constructed. This rigorous approach ensured that no triumph or setback escaped the purview of our analysis, encompassing the full spectrum of the Patriots' performances over the years.

Statistical Analysis:
The core of this study involved subjecting the compiled datasets to rigorous statistical analysis to ascertain the presence and strength of any potential relationship. The correlation coefficient was calculated to gauge the extent of association between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Furthermore, the p-value was computed to assess the statistical significance of any observed correlation, enabling us to discern whether the apparent link was merely a serendipitous alignment or a meaningful connection worthy of consideration.

Potential Limitations:
It is crucial to acknowledge the potential limitations of this research. While stringent measures were taken to ensure the accuracy and comprehensiveness of the data, the inherent complexities of both astrophysical and athletic phenomena introduce the possibility of nuanced influences eluding capture. Additionally, the celestial and terrestrial realms are replete with multifaceted variables that may confound direct causal inferences. Despite these challenges, the findings of this study present an intriguing avenue for further exploration at the intersection of astroprediction and sporting achievements.

In conclusion, the methodology employed in this research imbued a sense of precision and thoroughness, allowing for the systematic evaluation of the purported correlation between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. This analytical approach not only elucidates the methodical rigor underpinning our investigation but also underscores the unorthodox and thought-provoking nature of our pursuit to uncover cosmic influences on terrestrial phenomena.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between The distance between Uranus and Saturn and Season wins for the New England Patriots. 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 Caclculated using Astropy and Pro-Football-Reference.com .

For the time period 1975 to 2023, you found a correlation 0.6082926, r-squared of 0.3700199, 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]]
"Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success"

[[ABSTRACT]]
This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
The field of astropredictive correlations has long been overshadowed by more traditional methods of analysis in sports and astrological research. However, this study delves into the unexplored realms of cosmic influences on terrestrial events, specifically the connection between the distance between Uranus and Saturn and the seasonal wins of the New England Patriots. While some may deem this investigation as far-fetched or eccentric, the findings hold potential to revolutionize the understanding of sports performance and cosmic influences on human affairs.
The New England Patriots, a team revered and reviled in equal measure, have carved a prominent niche in the annals of American football history. Their successes and failures have sparked debates, celebrations, and commiserations among fans and pundits alike. Amidst this fervor, the potential influence of celestial bodies on their seasonal outcomes lies mired in obscurity. This study aims to bring to light the nuanced and unorthodox factors that may contribute to the Patriots' triumphs and tribulations on the field.
The notion of celestial bodies exerting an influence on human affairs is not a new concept. Throughout history, various cultures and belief systems have ascribed significance to planetary movements and their potential effects on earthly events. Drawing upon this rich tapestry of astrological thought, this research embarks on a journey to transcend the conventional constraints of sporting analysis and delve into the cosmic ballet that may intertwine with the outcomes of football seasons.

The correlation at the crux of this study, the distance between Uranus and Saturn, provides a novel and unconventional approach to probing this celestial influence. The distant, enigmatic realms of the outer planets form the stage for this cosmic dance, where the gravitational interactions and alignments may hold unforeseen ramifications for events here on Earth. By scrutinizing these astral distances, a fresh perspective is unveiled, one that may hold significant implications for the understanding of sports phenomena and cosmic connections that transcend human comprehension.
An investigation of this nature echoes the spirit of scientific inquiry, casting a net beyond the customary boundaries of analysis and inviting unanticipated connections to emerge. As we venture into this uncharted frontier at the intersection of astroprediction and athletic achievements, we open the door to reevaluating the forces that shape the outcomes of sports competitions and perhaps even broaden our collective grasp of the cosmic tapestry that envelops our planet.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the data revealed a statistically significant correlation between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. The correlation coefficient of 0.6082926 suggests a moderately strong positive relationship between these celestial distances and the Patriots' performance on the American football field. The r-squared value of 0.3700199 indicates that approximately 37% of the variability in the Patriots' seasonal wins can be explained by the distance between Uranus and Saturn.

The distribution of the data points is effectively captured in the presented scatterplot (Fig. 1), which visually depicts the strong association between the variables. As the distance between Uranus and Saturn fluctuates, there is a discernible pattern in the corresponding seasonal wins of the New England Patriots.

These findings open up intriguing dialogues at the intersection of cosmic phenomena and terrestrial achievements. While some may initially dismiss such correlations as mere happenstance or celestial coincidence, the robust statistical evidence presented in this study warrants a closer examination of the potential celestial influences on human events, including the outcomes of football seasons.

The implications of these results extend beyond the realm of sports analysis, as they prompt further contemplation of the subtle celestial forces that may interplay with our daily lives. As we grapple with the idiosyncrasies of these findings, we are compelled to reconsider the traditional factors that are often attributed to sporting triumphs and setbacks. This study serves as a thought-provoking catalyst for broader discussions on the interconnectedness of astrophysical dynamics and human endeavors, shedding light on the intricate interplay between the cosmic ballet and the world of sports.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between The distance between Uranus and Saturn and Season wins for the New England Patriots. 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]]
"Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success"

[[ABSTRACT]]
This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.

[[LITERATURE REVIEW]]
The relationship between celestial phenomena and earthly events has been an area of interest for various scholars and enthusiasts alike. Scholars such as Smith (2000) and Doe (2015) have delved into the intricate and often enigmatic correlations between cosmic movements and human experiences, laying the groundwork for ventures into unexplored territory. Jones (2012) also provides insights into the potential impacts of celestial events on terrestrial affairs, stirring the imagination and curiosity of those intrigued by the interplay of the celestial and the mundane.
Venturing into the more practical realms of sports analysis, the works of "Astrological Playbook" by Starry Author (2005) and "Planetary Patterns in Professional Sports" by Celeste Gal (2018) have raised eyebrows and piqued interest in the potential celestial influences on athletic performance. However, as the research meanders into unconventional realms, it may encounter skepticism from those tethered to more traditional paradigms of sports analysis.
Turning to the world of fiction, the insight provided by "Cosmic Chronicles" by Stella Sci-Fi (2010) offers an imaginative portrayal of celestial influences on human endeavors, blurring the boundaries between reality and speculative fiction. A different approach is expounded upon in "The Stellar Strategist" by Leo Lit (2013), where celestial movements shape the destinies of protagonists in a tale woven with cosmic threads.
Children's television programming, such as "The Magic School Bus: Lost in Space" and "Bill Nye the Science Guy," have long captured the imaginations of young audiences with their portrayals of scientific concepts, including planetary orbits and celestial dynamics. These depictions, while tailored for a younger demographic, may have instilled a sense of fascination with the cosmos and cultivated an openness to unconventional associations between distant celestial bodies and earthly phenomena.
Therefore, the proponents and detractors of the astrological lens in sports analysis each contribute to a multidimensional conversation, one that traverses the realms of reality and imagination, skepticism and curiosity. As the literature reveals, the intersection of celestial dynamics and sports performance opens avenues for unconventional inquiry and perhaps a hint of cosmic comedy.

[[RESULTS]]
The analysis of the data revealed a statistically significant correlation between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. The correlation coefficient of 0.6082926 suggests a moderately strong positive relationship between these celestial distances and the Patriots' performance on the American football field. The r-squared value of 0.3700199 indicates that approximately 37% of the variability in the Patriots' seasonal wins can be explained by the distance between Uranus and Saturn.
The distribution of the data points is effectively captured in the presented scatterplot (Fig. 1), which visually depicts the strong association between the variables. As the distance between Uranus and Saturn fluctuates, there is a discernible pattern in the corresponding seasonal wins of the New England Patriots.
These findings open up intriguing dialogues at the intersection of cosmic phenomena and terrestrial achievements. While some may initially dismiss such correlations as mere happenstance or celestial coincidence, the robust statistical evidence presented in this study warrants a closer examination of the potential celestial influences on human events, including the outcomes of football seasons.
The implications of these results extend beyond the realm of sports analysis, as they prompt further contemplation of the subtle celestial forces that may interplay with our daily lives. As we grapple with the idiosyncrasies of these findings, we are compelled to reconsider the traditional factors that are often attributed to sporting triumphs and setbacks. This study serves as a thought-provoking catalyst for broader discussions on the interconnectedness of astrophysical dynamics and human endeavors, shedding light on the intricate interplay between the cosmic ballet and the world of sports.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The findings of this research corroborate the earlier speculations and inquiries into the potential effects of celestial dynamics on human affairs, including the realm of sports. As postulated by Jones (2012) and reinforced by the lesser-known "Astrological Playbook" (Starry Author, 2005), the relationship between celestial phenomena and terrestrial events appears to have a tangible presence in the empirical realm of the New England Patriots' seasonal wins. The statistical significance of the correlation coefficient, which aligns with the speculations proposed by previous literature, underpins the notion of a link between the distance between Uranus and Saturn and the Patriots' performance on the football field.

Venturing into unconventional grounds while echoing the sentiments expressed in the works of "Cosmic Chronicles" (Stella Sci-Fi, 2010), this study has shed empirical light on what was once the subject of speculative fiction. The robust statistical evidence presented here challenges the skepticism that often accompanies unconventional associations, such as those between remote celestial bodies and the achievements of earthly endeavors. The intersection of meticulous statistical analysis and astrological curiosity has elucidated a pattern that extends beyond mere chance, introducing a cosmic twist to the conventional paradigms of sports performance analysis.

Amidst the empirical acknowledgments, it is essential to recognize the broader implications of these findings. While the correlation discovered in this study may appear as baffling as the plotline of a children’s television program, it propels us to contemplate the profound interconnectedness of cosmic forces and human accomplishments, initiating dialogues that transcend the confines of sports analysis. Although the conventional factors contributing to the outcomes of football seasons remain steadfast, the unearthing of this astropredictive correlation invites us to embrace the enigmatic influences that may subtlety sway the tides of human events.

In conclusion, the correlation between the distance between Uranus and Saturn and the New England Patriots' seasonal wins serves as a testament to the intricate interplay of celestial dynamics with terrestrial achievements, demystifying the cosmic forces that may influence the game of football. As we navigate the cosmic ballet of influences on human endeavors, this research beckons us to embrace the unexpected in our pursuit of understanding, and perhaps even to consider updating the astrological section of the playbook for future sports analyses.


Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between The distance between Uranus and Saturn and Season wins for the New England Patriots. 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]]
"Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success"

[[ABSTRACT]]
This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.

[[INTRDUCTION]]
INTRODUCTION
The field of astropredictive correlations has long been overshadowed by more traditional methods of analysis in sports and astrological research. However, this study delves into the unexplored realms of cosmic influences on terrestrial events, specifically the connection between the distance between Uranus and Saturn and the seasonal wins of the New England Patriots. While some may deem this investigation as far-fetched or eccentric, the findings hold potential to revolutionize the understanding of sports performance and cosmic influences on human affairs.
The New England Patriots, a team revered and reviled in equal measure, have carved a prominent niche in the annals of American football history. Their successes and failures have sparked debates, celebrations, and commiserations among fans and pundits alike. Amidst this fervor, the potential influence of celestial bodies on their seasonal outcomes lies mired in obscurity. This study aims to bring to light the nuanced and unorthodox factors that may contribute to the Patriots' triumphs and tribulations on the field.
The notion of celestial bodies exerting an influence on human affairs is not a new concept. Throughout history, various cultures and belief systems have ascribed significance to planetary movements and their potential effects on earthly events. Drawing upon this rich tapestry of astrological thought, this research embarks on a journey to transcend the conventional constraints of sporting analysis and delve into the cosmic ballet that may intertwine with the outcomes of football seasons.

The correlation at the crux of this study, the distance between Uranus and Saturn, provides a novel and unconventional approach to probing this celestial influence. The distant, enigmatic realms of the outer planets form the stage for this cosmic dance, where the gravitational interactions and alignments may hold unforeseen ramifications for events here on Earth. By scrutinizing these astral distances, a fresh perspective is unveiled, one that may hold significant implications for the understanding of sports phenomena and cosmic connections that transcend human comprehension.
An investigation of this nature echoes the spirit of scientific inquiry, casting a net beyond the customary boundaries of analysis and inviting unanticipated connections to emerge. As we venture into this uncharted frontier at the intersection of astroprediction and athletic achievements, we open the door to reevaluating the forces that shape the outcomes of sports competitions and perhaps even broaden our collective grasp of the cosmic tapestry that envelops our planet.

[[RESULTS]]
The analysis of the data revealed a statistically significant correlation between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. The correlation coefficient of 0.6082926 suggests a moderately strong positive relationship between these celestial distances and the Patriots' performance on the American football field. The r-squared value of 0.3700199 indicates that approximately 37% of the variability in the Patriots' seasonal wins can be explained by the distance between Uranus and Saturn.
The distribution of the data points is effectively captured in the presented scatterplot (Fig. 1), which visually depicts the strong association between the variables. As the distance between Uranus and Saturn fluctuates, there is a discernible pattern in the corresponding seasonal wins of the New England Patriots.
These findings open up intriguing dialogues at the intersection of cosmic phenomena and terrestrial achievements. While some may initially dismiss such correlations as mere happenstance or celestial coincidence, the robust statistical evidence presented in this study warrants a closer examination of the potential celestial influences on human events, including the outcomes of football seasons.
The implications of these results extend beyond the realm of sports analysis, as they prompt further contemplation of the subtle celestial forces that may interplay with our daily lives. As we grapple with the idiosyncrasies of these findings, we are compelled to reconsider the traditional factors that are often attributed to sporting triumphs and setbacks. This study serves as a thought-provoking catalyst for broader discussions on the interconnectedness of astrophysical dynamics and human endeavors, shedding light on the intricate interplay between the cosmic ballet and the world of sports.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the findings of this study reveal a statistically significant correlation between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. The moderately strong positive relationship indicates that approximately 37% of the variability in the Patriots' seasonal wins can be explained by the celestial distances. While this correlation may seem implausible on the surface, the robust statistical evidence challenges us to reconsider the potential influence of cosmic forces on earthly events, football seasons notwithstanding. The visualization of this correlation in the presented scatterplot (Fig. 1) is as enlightening as stargazing on a clear night - a celestial dance mirrored in the Patriots' performance.

These unexpected findings transcend the boundaries of traditional sports analysis, beckoning us to contemplate the whims of the cosmos in shaping our everyday experiences. Perhaps there is a cosmic playbook at play, guiding the fortunes of football teams under the silent orchestration of distant planets. Such contemplation elicits a sense of wonder, akin to pondering the vastness of the universe or the enigmatic allure of an onside kick.

While the immediate implications of these findings may appear obscure, they serve as an invitation to expand the horizons of inquiry and embrace the serendipitous interconnectedness of all things, whether on the field or in the sky above. These results challenge us to question the conventional factors attributed to sports performance and encourage a broader consideration of the influences that may extend far beyond the terrestrial realm.

In light of these illuminating findings, our study unearths a cosmic correlation that may prompt further investigations at the intersection of astrophysical phenomena and athletic achievements. Yet, like a shooting star, this research may have illuminated a tantalizing celestial connection, but it also asserts that the torch of inquiry in this area needs no further kindling. The cosmic curtain may have been momentarily drawn back, but it is time to shift our gaze to other spheres of research, leaving this celestial pigskin theory to orbit in the annals of quirky correlations.


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 Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success. Respond only with the name of a fictional academic journal.

ChatGPT:

Astrological Annals


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 Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success. Respond only with the name of a fictional organization.

ChatGPT:

The Galactic Synchronicity Institute


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 Planetary Patterns: The Astropredictive Correlation between Interplanetary Distances and the New England Patriots' Seasonal Success with an abstract of This study investigates the uncharted territory of astropredictive correlations by exploring the potential relationship between the distance between Uranus and Saturn and the New England Patriots' seasonal wins. Utilizing data from Astropy and Pro-Football-Reference.com spanning from 1975 to 2023, we calculated a correlation coefficient of 0.6082926, with a p-value of less than 0.01, suggesting a statistically significant association. The findings of this research may lead to a shift in perspectives, challenging the conventional factors attributed to sports performance. This cosmic correlation unveils the hidden influences of celestial bodies on Earthly events, illuminating the game of football with a cosmic twist.

ChatGPT:

Astropredictive correlations, interplanetary distances, New England Patriots, seasonal success, Uranus and Saturn, football performance, celestial bodies, cosmic influences, seasonal wins, correlation coefficient, statistical significance, astrological influences, sports performance, football statistics.

*There is a bunch of Python happening behind the scenes to turn this prompt sequence into a PDF.



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Data details

The distance between Uranus and Saturn
Detailed data title: The average distance between Uranus and Saturn as measured on the first day of each month
Source: Caclculated using Astropy
Additional Info: I wrote a Python script using Astropy to calculate the distance between the named planets on the first day of each month for every year.

See what else correlates with The distance between Uranus and Saturn

Season wins for the New England Patriots
Detailed data title: Number of season wins by the New England Patriots
Source: Pro-Football-Reference.com
See what else correlates with Season wins for the New England Patriots

Correlation r = 0.6082926 (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 = 0.3700199 (Coefficient of determination)
This means 37% of the change in the one variable (i.e., Season wins for the New England Patriots) is predictable based on the change in the other (i.e., The distance between Uranus and Saturn) over the 49 years from 1975 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.5E-6. 0.0000035452491677087634000000
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 0.61 in 0.00035% of random cases. Said differently, if you correlated 282,068 random variables You don't actually need 282 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 48 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 48 because we have two variables measured over a period of 49 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.

[ 0.39, 0.76 ] 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.
1975197619771978197919801981198219831984198519861987198819891990199119921993199419951996199719981999200020012002200320042005200620072008200920102011201220132014201520162017201820192020202120222023
The distance between Uranus and Saturn (Planetary distance (AU))21.899420.748519.542618.298517.034715.768914.528213.33612.220811.216310.36979.728869.343099.251069.467739.9778410.74411.72112.857914.113815.453916.850818.271419.692221.089522.442423.722824.911125.988826.94227.754228.418628.931529.292629.50329.567729.492929.284928.951528.499827.936227.264926.494225.627824.669723.621722.492721.287320.0131
Season wins for the New England Patriots (Patriots wins)3119119102589111189516251061110985119141410121611101413121212121413111271083




Why this works

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




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([21.8994,20.7485,19.5426,18.2985,17.0347,15.7689,14.5282,13.336,12.2208,11.2163,10.3697,9.72886,9.34309,9.25106,9.46773,9.97784,10.744,11.721,12.8579,14.1138,15.4539,16.8508,18.2714,19.6922,21.0895,22.4424,23.7228,24.9111,25.9888,26.942,27.7542,28.4186,28.9315,29.2926,29.503,29.5677,29.4929,29.2849,28.9515,28.4998,27.9362,27.2649,26.4942,25.6278,24.6697,23.6217,22.4927,21.2873,20.0131,])
array_2 = np.array([3,11,9,11,9,10,2,5,8,9,11,11,8,9,5,1,6,2,5,10,6,11,10,9,8,5,11,9,14,14,10,12,16,11,10,14,13,12,12,12,12,14,13,11,12,7,10,8,3,])
array_1_name = "The distance between Uranus and Saturn"
array_2_name = "Season wins for the New England Patriots"

# 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: 1586 · Black Variable ID: 1966 · Red Variable ID: 19668
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