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Spurious correlation #4,597 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Votes for the Libertarian Presidential candidate in Hawaii and the second variable is Automotive recalls for issues with the Air Bags.  The chart goes from 1990 to 2020, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The state saw a surge in support for the libertarian candidate and as a result, there was a simultaneous increase in people expressing their desire for maximum freedom - including the freedom for airbags not to deploy when they should. This led to a ripple effect in the automotive industry, where cars suddenly felt the need to assert their individual rights by recalling themselves for airbag issues, because nothing says 'liberty' like a car with a mind of its own!

Model: dalle-3
Prompt: Generate an image of a vibrant Hawaiian coastline, with a striking wave breaking against the shore. Alongside the wave, a convoy of cars appears to be driving towards the ocean, each one exuding distinct personality and characteristics. There is an unmistakable atmosphere of freedom and independence, as if the cars themselves have come to life to partake in the communal momentum of Libertarian support in Hawaii, intertwining the realms of politics and automotive autonomy in an unexpected and visually captivating manner. 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: Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. 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: Charcoal A Discovery magazine cover image Macabre Cute 2D animation Vaporwave
ChatGPT: A Discovery magazine cover image

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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags, in the following situation: The state saw a surge in support for the libertarian candidate and as a result, there was a simultaneous increase in people expressing their desire for maximum freedom - including the freedom for airbags not to deploy when they should. This led to a ripple effect in the automotive industry, where cars suddenly felt the need to assert their individual rights by recalling themselves for airbag issues, because nothing says 'liberty' like a car with a mind of its own!. Keep the description simple.
ChatGPT: In Hawaii, a wave of support for the Libertarian Presidential candidate swept through the state, with many expressing a desire for maximum freedom. Against this backdrop, cars throughout the island suddenly seemed to assert their individual rights as they initiated recalls for airbag issues. The scene was a mix of political enthusiasm and automotive autonomy, with the aspirations for freedom intertwining in unexpected ways.

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: [ A Discovery magazine cover image ] and depicting this scene: In Hawaii, a wave of support for the Libertarian Presidential candidate swept through the state, with many expressing a desire for maximum freedom. Against this backdrop, cars throughout the island suddenly seemed to assert their individual rights as they initiated recalls for airbag issues. The scene was a mix of political enthusiasm and automotive autonomy, with the aspirations for freedom intertwining in unexpected ways. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a vibrant Hawaiian coastline, with a striking wave breaking against the shore. Alongside the wave, a convoy of cars appears to be driving towards the ocean, each one exuding distinct personality and characteristics. There is an unmistakable atmosphere of freedom and independence, as if the cars themselves have come to life to partake in the communal momentum of Libertarian support in Hawaii, intertwining the realms of politics and automotive autonomy in an unexpected and visually captivating manner.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how increases in Votes for the Libertarian Presidential candidate in Hawaii positively influenced Automotive recalls for issues with the Air Bags. Make it feel plausible.

AI academic paper

(Because p < 0.01)
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

The Journal of Unconventional Safety Studies

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 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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. 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 MIT Election Data and Science Lab, Harvard Dataverse and US DOT to assess this nagging question. You found a correlation coefficient of 0.9349589 and p < 0.01 for 1990 to 2020.

Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

[[ABSTRACT]]
In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

[[ABSTRACT]]
In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
INTRODUCTION

In the world of automotive safety, airbags have long been regarded as the unsung heroes, quietly waiting in the wings until they're called upon to literally spring into action. However, the rather mundane and technical nature of airbag recalls has seldom intersected with the vibrant world of political dynamics. That is until now. Our study unveils a peculiar correspondence between the number of votes cast for the Libertarian presidential candidate in the idyllic state of Hawaii and the frequency of automotive recalls for issues with airbags. The connection between these seemingly unrelated entities elicits both bemusement and intrigue, prompting us to embark on a journey through statistical analysis with the added spice of unexpected statistical relationships.

Although the relationship seems as unlikely as finding a needle in a haystack buried under statisticians' jargon, our investigation uncovers a substantial correlation coefficient of 0.9349589. For those unacquainted with the jargon of the musings of the statistical realm, we'll simply state that this correlation is rather strong. The accompanying p-value of less than 0.01 gives our findings a level of significance that even the most discerning statistical connoisseur cannot ignore. These numbers make a compelling case for the existence of a substantive link between the votes for the Libertarian candidate and airbag recalls, a connection that may at first seem as elusive as discovering a parking spot in a crowded city.

As we navigate the perplexing landscape of this statistical anomaly, we endeavor to elucidate the potential mechanisms underpinning this unexpected relationship. Could it be mere coincidence? The product of an unseen force at play in the universe, guiding the destiny of airbags and political affiliations? Or perhaps, like a twist in a mystery novel, our analysis will unravel a comic conspiracy that displays a tongue-in-cheek nod to the whimsical side of causality. Our voyage through the data promises not only to unravel the mystery behind this enigmatic connection but also to infuse a dash of levity into the often somber corridors of academic research.

Join us as we unfold the narrative of this unlikely twinning of politicking and automotive safety, for in the world of statistical surprises, even the seemingly mundane can emanate an element of delightful absurdity.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. 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]]
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

[[ABSTRACT]]
In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
In the world of automotive safety, airbags have long been regarded as the unsung heroes, quietly waiting in the wings until they're called upon to literally spring into action. However, the rather mundane and technical nature of airbag recalls has seldom intersected with the vibrant world of political dynamics. That is until now. Our study unveils a peculiar correspondence between the number of votes cast for the Libertarian presidential candidate in the idyllic state of Hawaii and the frequency of automotive recalls for issues with airbags. The connection between these seemingly unrelated entities elicits both bemusement and intrigue, prompting us to embark on a journey through statistical analysis with the added spice of unexpected statistical relationships.
Although the relationship seems as unlikely as finding a needle in a haystack buried under statisticians' jargon, our investigation uncovers a substantial correlation coefficient of 0.9349589. For those unacquainted with the jargon of the musings of the statistical realm, we'll simply state that this correlation is rather strong. The accompanying p-value of less than 0.01 gives our findings a level of significance that even the most discerning statistical connoisseur cannot ignore. These numbers make a compelling case for the existence of a substantive link between the votes for the Libertarian candidate and airbag recalls, a connection that may at first seem as elusive as discovering a parking spot in a crowded city.
As we navigate the perplexing landscape of this statistical anomaly, we endeavor to elucidate the potential mechanisms underpinning this unexpected relationship. Could it be mere coincidence? The product of an unseen force at play in the universe, guiding the destiny of airbags and political affiliations? Or perhaps, like a twist in a mystery novel, our analysis will unravel a comic conspiracy that displays a tongue-in-cheek nod to the whimsical side of causality. Our voyage through the data promises not only to unravel the mystery behind this enigmatic connection but also to infuse a dash of levity into the often somber corridors of academic research.
Join us as we unfold the narrative of this unlikely twinning of politicking and automotive safety, for in the world of statistical surprises, even the seemingly mundane can emanate an element of delightful absurdity.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Previous research has explored the intricate web of cause and effect, seeking to unravel the mysteries of unexpected associations and statistical anomalies. Smith et al. (2015) delved into the realm of political voting patterns, while Doe and Jones (2018) scrutinized the riveting world of automotive recalls. However, none could have foreseen the delightful rendezvous of these two seemingly incongruous topics in the context of our study.

In "Behold the Airbag: A Comprehensive Study," Smith et al. scrutinize the safety mechanisms of airbags, detailing their functionality and indispensability in mitigating the impact of vehicular collisions. "Road Warriors: A Chronicle of Automotive Adventures" by Doe and Jones offers a meticulous account of automotive recalls, citing the prevalence of airbag-related issues and their repercussions on vehicle safety standards.

Venturing into the realm of fiction that could bear some relevance to our rather peculiar investigative journey, "The Airbag Chronicles of Hawaii" by J.K. Rowling offers a whimsical tale of wizards involved in crafting airbags that are mysteriously tied to political affiliations. Similarly, "Airbagged in the Wind" by F. Scott Fitzgerald weaves a narrative that dances through the political landscape of Hawaii and the enigmatic dance of airbags.

In the realm of animated content, the cartoon "Airbag Antics" and the children's show "Airbag Adventures with Andy" transport viewers on wacky escapades involving airbags and political shenanigans. These seemingly unrelated pieces of media have an uncanny way of baring relevance to our study, albeit in an absurd and comical manner.

As we immerse ourselves in the existing literature, it becomes evident that the interplay between politics and automotive safety may be more whimsical than previously thought. The uncovering of this correlation between Libertarian presidential votes in Hawaii and automotive recalls for airbag issues not only challenges traditional statistical paradigms but also injects an element of joviality into the typically austere discourse of academic inquiry.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from MIT Election Data and Science Lab, Harvard Dataverse and US DOT . You used data from 1990 to 2020

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

[[ABSTRACT]]
In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.

[[INTRODUCTION]]
INTRODUCTION
In the world of automotive safety, airbags have long been regarded as the unsung heroes, quietly waiting in the wings until they're called upon to literally spring into action. However, the rather mundane and technical nature of airbag recalls has seldom intersected with the vibrant world of political dynamics. That is until now. Our study unveils a peculiar correspondence between the number of votes cast for the Libertarian presidential candidate in the idyllic state of Hawaii and the frequency of automotive recalls for issues with airbags. The connection between these seemingly unrelated entities elicits both bemusement and intrigue, prompting us to embark on a journey through statistical analysis with the added spice of unexpected statistical relationships.
Although the relationship seems as unlikely as finding a needle in a haystack buried under statisticians' jargon, our investigation uncovers a substantial correlation coefficient of 0.9349589. For those unacquainted with the jargon of the musings of the statistical realm, we'll simply state that this correlation is rather strong. The accompanying p-value of less than 0.01 gives our findings a level of significance that even the most discerning statistical connoisseur cannot ignore. These numbers make a compelling case for the existence of a substantive link between the votes for the Libertarian candidate and airbag recalls, a connection that may at first seem as elusive as discovering a parking spot in a crowded city.
As we navigate the perplexing landscape of this statistical anomaly, we endeavor to elucidate the potential mechanisms underpinning this unexpected relationship. Could it be mere coincidence? The product of an unseen force at play in the universe, guiding the destiny of airbags and political affiliations? Or perhaps, like a twist in a mystery novel, our analysis will unravel a comic conspiracy that displays a tongue-in-cheek nod to the whimsical side of causality. Our voyage through the data promises not only to unravel the mystery behind this enigmatic connection but also to infuse a dash of levity into the often somber corridors of academic research.
Join us as we unfold the narrative of this unlikely twinning of politicking and automotive safety, for in the world of statistical surprises, even the seemingly mundane can emanate an element of delightful absurdity.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the enigma surrounding the link between votes for the Libertarian presidential candidate in Hawaii and automotive recalls for airbag issues, we embarked on a rather whimsical methodological journey. Our research team gazed into the vast expanse of data repositories, like intrepid explorers in search of hidden treasure, and came across the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation. These sources provided us with a treasure trove of data spanning from 1990 to 2020, allowing us to dive deep into the statistical seas and fish out the intriguing relationship between seemingly unrelated phenomena.

With our data in hand, we set sail on the good ship Correlation, charting a course through the statistical waters. Utilizing a robust statistical approach—akin to navigating through a maze of equations with the dexterity of a mathematical acrobat—we calculated the correlation coefficient to quantify the strength of the relationship between votes for the Libertarian candidate and airbag recalls. Our trusty p-value, a stalwart companion in the realm of statistical significance, accompanied us on our journey, providing a beacon of light in the murky depths of data analysis.

Furthermore, we harnessed the power of regression analysis, invoking the mystical arts of modeling to uncover the potential causal mechanisms lurking behind this curious connection. Like sorcerers conjuring the secrets of association from the abyss of data, we teased out the intricate threads linking political preferences and automotive safety, all the while donning our statistical cloaks and wielding our enchanted software tools.

In a peculiar twist, we also employed a rather unconventional technique reminiscent of reading tea leaves in a surrealistic tea ceremony. This method, while undoubtedly unorthodox, involved gazing into the patterns of data with a discerning eye for unexpected shapes and figures—much like cloud-gazing on a lazy summer day. While its scientific merit may be debatable, this approach injected an element of whimsy into our otherwise steadfast pursuit of statistical rigor.

In summary, our methodology, while adorned with a touch of quirkiness, provided us with the means to unearth the elusive relationship between votes for the Libertarian candidate in Hawaii and automotive recalls for airbag issues. Armed with statistical tools, a hint of whimsy, and an abundance of data, we embarked on our analytical expedition, eager to shed light on this peculiar correlation.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from MIT Election Data and Science Lab, Harvard Dataverse and US DOT .

For the time period 1990 to 2020, you found a correlation 0.9349589, r-squared of 0.8741481, and p < 0.01.

One figure will be included. The figure (Fig. 1) is a scatterplot showing the strong correlation between the two variables. You don't need to specify where; I will add the figure.

Here is the title and abstract of the paper:
[[TITLE]]
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

[[ABSTRACT]]
In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
In the world of automotive safety, airbags have long been regarded as the unsung heroes, quietly waiting in the wings until they're called upon to literally spring into action. However, the rather mundane and technical nature of airbag recalls has seldom intersected with the vibrant world of political dynamics. That is until now. Our study unveils a peculiar correspondence between the number of votes cast for the Libertarian presidential candidate in the idyllic state of Hawaii and the frequency of automotive recalls for issues with airbags. The connection between these seemingly unrelated entities elicits both bemusement and intrigue, prompting us to embark on a journey through statistical analysis with the added spice of unexpected statistical relationships.
Although the relationship seems as unlikely as finding a needle in a haystack buried under statisticians' jargon, our investigation uncovers a substantial correlation coefficient of 0.9349589. For those unacquainted with the jargon of the musings of the statistical realm, we'll simply state that this correlation is rather strong. The accompanying p-value of less than 0.01 gives our findings a level of significance that even the most discerning statistical connoisseur cannot ignore. These numbers make a compelling case for the existence of a substantive link between the votes for the Libertarian candidate and airbag recalls, a connection that may at first seem as elusive as discovering a parking spot in a crowded city.
As we navigate the perplexing landscape of this statistical anomaly, we endeavor to elucidate the potential mechanisms underpinning this unexpected relationship. Could it be mere coincidence? The product of an unseen force at play in the universe, guiding the destiny of airbags and political affiliations? Or perhaps, like a twist in a mystery novel, our analysis will unravel a comic conspiracy that displays a tongue-in-cheek nod to the whimsical side of causality. Our voyage through the data promises not only to unravel the mystery behind this enigmatic connection but also to infuse a dash of levity into the often somber corridors of academic research.
Join us as we unfold the narrative of this unlikely twinning of politicking and automotive safety, for in the world of statistical surprises, even the seemingly mundane can emanate an element of delightful absurdity.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our analysis revealed a remarkably strong correlation between the number of votes for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for airbag-related issues. The correlation coefficient of 0.9349589 suggests a robust positive relationship between these two seemingly distinct variables, akin to discovering an unexpected harmony between two seemingly unrelated notes in a piece of music.

Furthermore, the r-squared value of 0.8741481 indicates that approximately 87.41% of the variation in airbag recalls can be explained by the number of votes for the Libertarian candidate. This suggests a compelling degree of association that even the most seasoned political pundits would find difficult to dismiss.

The statistically significant p-value of less than 0.01 lends further weight to our findings, establishing a strong case for the presence of a genuine connection between these curious phenomena. The importance of this result is not to be understated, akin to stumbling upon a treasure trove of statistical amusement in the otherwise serious landscape of data analysis.

Ah, but we mustn't stop there. Our journey through this statistical terra incognita is best accompanied by a touch of levity, for as Oscar Wilde so eloquently put it, "Life is too important to be taken seriously." Alongside these robust statistical findings, our exploration unfurled an unexpected subplot of delightful absurdity, akin to finding a hidden punchline in a serious academic discourse.

In Figure 1, we present a visually captivating scatterplot that encapsulates this notable correlation, reminiscent of a secret rendezvous between two unsuspecting variables. The plot invites the reader to partake in the whimsical dance of statistical relationships, prompting them to ponder the enigmatic connection between political choices and automotive safety, all while bearing in mind that in the realm of data analysis, surprises tend to lurk around every categorical variable.

This unexpected alliance between votes for the Libertarian candidate and airbag recalls not only makes for an engaging statistical tale but also underscores the importance of approaching data with a versatile, open-minded perspective. Our results serve as a poignant reminder that within the expanse of empirical inquiry, even the most unconventional pairings may hold the key to unlocking the mysteries of causality, with a hint of statistical whimsy.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Limit your response to 500 tokens.

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

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

[[TITLE]]
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

[[ABSTRACT]]
In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.

[[LITERATURE REVIEW]]
Previous research has explored the intricate web of cause and effect, seeking to unravel the mysteries of unexpected associations and statistical anomalies. Smith et al. (2015) delved into the realm of political voting patterns, while Doe and Jones (2018) scrutinized the riveting world of automotive recalls. However, none could have foreseen the delightful rendezvous of these two seemingly incongruous topics in the context of our study.
In "Behold the Airbag: A Comprehensive Study," Smith et al. scrutinize the safety mechanisms of airbags, detailing their functionality and indispensability in mitigating the impact of vehicular collisions. "Road Warriors: A Chronicle of Automotive Adventures" by Doe and Jones offers a meticulous account of automotive recalls, citing the prevalence of airbag-related issues and their repercussions on vehicle safety standards.
Venturing into the realm of fiction that could bear some relevance to our rather peculiar investigative journey, "The Airbag Chronicles of Hawaii" by J.K. Rowling offers a whimsical tale of wizards involved in crafting airbags that are mysteriously tied to political affiliations. Similarly, "Airbagged in the Wind" by F. Scott Fitzgerald weaves a narrative that dances through the political landscape of Hawaii and the enigmatic dance of airbags.
In the realm of animated content, the cartoon "Airbag Antics" and the children's show "Airbag Adventures with Andy" transport viewers on wacky escapades involving airbags and political shenanigans. These seemingly unrelated pieces of media have an uncanny way of baring relevance to our study, albeit in an absurd and comical manner.
As we immerse ourselves in the existing literature, it becomes evident that the interplay between politics and automotive safety may be more whimsical than previously thought. The uncovering of this correlation between Libertarian presidential votes in Hawaii and automotive recalls for airbag issues not only challenges traditional statistical paradigms but also injects an element of joviality into the typically austere discourse of academic inquiry.

[[RESULTS]]
The results of our analysis revealed a remarkably strong correlation between the number of votes for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for airbag-related issues. The correlation coefficient of 0.9349589 suggests a robust positive relationship between these two seemingly distinct variables, akin to discovering an unexpected harmony between two seemingly unrelated notes in a piece of music.
Furthermore, the r-squared value of 0.8741481 indicates that approximately 87.41% of the variation in airbag recalls can be explained by the number of votes for the Libertarian candidate. This suggests a compelling degree of association that even the most seasoned political pundits would find difficult to dismiss.
The statistically significant p-value of less than 0.01 lends further weight to our findings, establishing a strong case for the presence of a genuine connection between these curious phenomena. The importance of this result is not to be understated, akin to stumbling upon a treasure trove of statistical amusement in the otherwise serious landscape of data analysis.
Ah, but we mustn't stop there. Our journey through this statistical terra incognita is best accompanied by a touch of levity, for as Oscar Wilde so eloquently put it, "Life is too important to be taken seriously." Alongside these robust statistical findings, our exploration unfurled an unexpected subplot of delightful absurdity, akin to finding a hidden punchline in a serious academic discourse.
In Figure 1, we present a visually captivating scatterplot that encapsulates this notable correlation, reminiscent of a secret rendezvous between two unsuspecting variables. The plot invites the reader to partake in the whimsical dance of statistical relationships, prompting them to ponder the enigmatic connection between political choices and automotive safety, all while bearing in mind that in the realm of data analysis, surprises tend to lurk around every categorical variable.
This unexpected alliance between votes for the Libertarian candidate and airbag recalls not only makes for an engaging statistical tale but also underscores the importance of approaching data with a versatile, open-minded perspective. Our results serve as a poignant reminder that within the expanse of empirical inquiry, even the most unconventional pairings may hold the key to unlocking the mysteries of causality, with a hint of statistical whimsy.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The correlation identified in our study between votes for the Libertarian presidential candidate in Hawaii and automotive recalls for issues with airbags is nothing short of serendipitous. As we wade through the riveting seas of statistical anomalies, it becomes evident that even the most unexpected connections can serve as a beacon of enlightenment in the shadowy realm of data analysis.

Picking up where our literature review left off, the odd yet intriguing resemblances spotted in "The Airbag Chronicles of Hawaii" by J.K. Rowling and "Airbagged in the Wind" by F. Scott Fitzgerald now take on a curious significance. The comical fables of airbags and political intrigue contained within these works may not be as far-fetched as they appear – for they have unwittingly foreshadowed the captivating union we have uncovered in our study. This fortuitous alignment with our findings underscores the profound, though unconventional, insights that can emerge from seemingly frivolous corners of literature.

Our results lend credence to the speculations put forth by Smith et al. and Doe and Jones, who unwittingly sowed the seeds of our enigmatic line of inquiry. Just as the whimsical tales of cartoon "Airbag Antics" and "Airbag Adventures with Andy" bear relevance, so too do the findings of these esteemed researchers, affirming that truth can indeed be stranger than fiction. This unprecedented correlation not only bolsters their work but also nudges the discourse of empirical inquiry into an unexpectedly jovial direction.

We find ourselves at an intriguing intersection where statistical robustness meets a hint of whimsy. The statistical correlation we've uncovered is as robust as a well-constructed joke – a testament to the unanticipated mirth that can be found in the hallowed halls of research. The visual allure of our scatterplot mirrors the unfolding of a delightful, albeit unexpected, friendship between two unlikely partners, inviting the reader to partake in the whimsical dance of statistical relationships.

In essence, our diligent investigation into this quirky alliance entreatingly beckons us to acknowledge that even in the most rigorous and mathematical of pursuits, there exists space for a dash of levity. Our findings shed light on the potential unearthing of statistical treasures, where seemingly unrelated variables engage in a lighthearted tango of causation, all while adding a touch of statistical whimsy to the halls of empirical inquiry.


Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Votes for the Libertarian Presidential candidate in Hawaii and Automotive recalls for issues with the Air Bags. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
The Airbag Anomaly: A Libertarian Link to Recalls Revealed

[[ABSTRACT]]
In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.

[[INTRDUCTION]]
INTRODUCTION
In the world of automotive safety, airbags have long been regarded as the unsung heroes, quietly waiting in the wings until they're called upon to literally spring into action. However, the rather mundane and technical nature of airbag recalls has seldom intersected with the vibrant world of political dynamics. That is until now. Our study unveils a peculiar correspondence between the number of votes cast for the Libertarian presidential candidate in the idyllic state of Hawaii and the frequency of automotive recalls for issues with airbags. The connection between these seemingly unrelated entities elicits both bemusement and intrigue, prompting us to embark on a journey through statistical analysis with the added spice of unexpected statistical relationships.
Although the relationship seems as unlikely as finding a needle in a haystack buried under statisticians' jargon, our investigation uncovers a substantial correlation coefficient of 0.9349589. For those unacquainted with the jargon of the musings of the statistical realm, we'll simply state that this correlation is rather strong. The accompanying p-value of less than 0.01 gives our findings a level of significance that even the most discerning statistical connoisseur cannot ignore. These numbers make a compelling case for the existence of a substantive link between the votes for the Libertarian candidate and airbag recalls, a connection that may at first seem as elusive as discovering a parking spot in a crowded city.
As we navigate the perplexing landscape of this statistical anomaly, we endeavor to elucidate the potential mechanisms underpinning this unexpected relationship. Could it be mere coincidence? The product of an unseen force at play in the universe, guiding the destiny of airbags and political affiliations? Or perhaps, like a twist in a mystery novel, our analysis will unravel a comic conspiracy that displays a tongue-in-cheek nod to the whimsical side of causality. Our voyage through the data promises not only to unravel the mystery behind this enigmatic connection but also to infuse a dash of levity into the often somber corridors of academic research.
Join us as we unfold the narrative of this unlikely twinning of politicking and automotive safety, for in the world of statistical surprises, even the seemingly mundane can emanate an element of delightful absurdity.

[[RESULTS]]
The results of our analysis revealed a remarkably strong correlation between the number of votes for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for airbag-related issues. The correlation coefficient of 0.9349589 suggests a robust positive relationship between these two seemingly distinct variables, akin to discovering an unexpected harmony between two seemingly unrelated notes in a piece of music.
Furthermore, the r-squared value of 0.8741481 indicates that approximately 87.41% of the variation in airbag recalls can be explained by the number of votes for the Libertarian candidate. This suggests a compelling degree of association that even the most seasoned political pundits would find difficult to dismiss.
The statistically significant p-value of less than 0.01 lends further weight to our findings, establishing a strong case for the presence of a genuine connection between these curious phenomena. The importance of this result is not to be understated, akin to stumbling upon a treasure trove of statistical amusement in the otherwise serious landscape of data analysis.
Ah, but we mustn't stop there. Our journey through this statistical terra incognita is best accompanied by a touch of levity, for as Oscar Wilde so eloquently put it, "Life is too important to be taken seriously." Alongside these robust statistical findings, our exploration unfurled an unexpected subplot of delightful absurdity, akin to finding a hidden punchline in a serious academic discourse.
In Figure 1, we present a visually captivating scatterplot that encapsulates this notable correlation, reminiscent of a secret rendezvous between two unsuspecting variables. The plot invites the reader to partake in the whimsical dance of statistical relationships, prompting them to ponder the enigmatic connection between political choices and automotive safety, all while bearing in mind that in the realm of data analysis, surprises tend to lurk around every categorical variable.
This unexpected alliance between votes for the Libertarian candidate and airbag recalls not only makes for an engaging statistical tale but also underscores the importance of approaching data with a versatile, open-minded perspective. Our results serve as a poignant reminder that within the expanse of empirical inquiry, even the most unconventional pairings may hold the key to unlocking the mysteries of causality, with a hint of statistical whimsy.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has illuminated a captivating link between the number of votes for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for airbag-related issues. Our findings not only serve as a testament to the unforeseen connections that can be unearthed in the labyrinth of statistical analysis but also inject a touch of mirth into the often austere realm of academic research.

The substantial correlation coefficient of 0.9349589 provides compelling evidence for this unexpected association, reminiscent of stumbling upon a hidden punchline in a serious academic discourse. The r-squared value of 0.8741481 and the statistically significant p-value further bolster the weight of our findings, akin to stumbling upon a treasure trove of statistical amusement in the otherwise serious landscape of data analysis.

Our visualization in Figure 1 invites the reader to partake in the whimsical dance of statistical relationships, akin to a secret rendezvous between two unsuspecting variables. This unexpected correlation between political choices and automotive safety underscores the importance of approaching data with a versatile, open-minded perspective and serves as a poignant reminder that within the expanse of empirical inquiry, even the most unconventional pairings may hold the key to unlocking the mysteries of causality, with a hint of statistical whimsy.

With the unveiling of this arcane entwinement between votes for the Libertarian candidate and airbag recalls, we assert that no further investigations into this ladened liaison are required – for now, we shall leave the statistical romps and humorous correlations to the jesters of the academic realm.


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of academic journals. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding research, scientific, or academic journal that would publish a paper entited The Airbag Anomaly: A Libertarian Link to Recalls Revealed. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Unconventional Safety Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited The Airbag Anomaly: A Libertarian Link to Recalls Revealed. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Vehicular Safety and Libertarian Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled The Airbag Anomaly: A Libertarian Link to Recalls Revealed with an abstract of In this paper, we investigate the curious correlation between the number of votes cast for the Libertarian presidential candidate in Hawaii and the frequency of automotive recalls for issues with airbags. Utilizing data from the MIT Election Data and Science Lab, Harvard Dataverse, and the US Department of Transportation, we conducted a comprehensive analysis spanning from 1990 to 2020. The findings reveal a striking correlation coefficient of 0.9349589 and a significant p-value less than 0.01, indicating a strong statistical relationship between these seemingly disparate phenomena. We delve into the potential mechanisms underlying this intriguing link and propose various humorous explanations for this unexpected association. The results of this study not only shed light on the importance of exploring unanticipated connections in data analysis but also add a touch of whimsy to the realm of academic research.

ChatGPT:

Airbag recalls, automotive recalls, Libertarian presidential candidate, Hawaii, MIT Election Data and Science Lab, Harvard Dataverse, US Department of Transportation, correlation coefficient, statistical relationship, data analysis, unexpected connections, academic research

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



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Data details

Votes for the Libertarian Presidential candidate in Hawaii
Detailed data title: Percentage of all votes cast for the Libertarian Presidential candidate in Hawaii
Source: MIT Election Data and Science Lab, Harvard Dataverse
See what else correlates with Votes for the Libertarian Presidential candidate in Hawaii

Automotive recalls for issues with the Air Bags
Source: US DOT
See what else correlates with Automotive recalls for issues with the Air Bags

Correlation r = 0.9349589 (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 = 0.8741481 (Coefficient of determination)
This means 87.4% of the change in the one variable (i.e., Automotive recalls for issues with the Air Bags) is predictable based on the change in the other (i.e., Votes for the Libertarian Presidential candidate in Hawaii) over the 8 years from 1990 through 2020.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.00065. 0.0006547485611290100000000000
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 0.065% of random cases. Said differently, if you correlated 1,527 random variables Which I absolutely did.
with the same 7 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 7 because we have two variables measured over a period of 8 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.

[ 0.68, 0.99 ] 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.
19921996200020042008201220162020
Votes for the Libertarian Presidential candidate in Hawaii (Percentage of votes)0.3001270.6922690.4014120.3209690.2881170.8783993.645260.955356
Automotive recalls for issues with the Air Bags (Recalls)481514132310658




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. Very low n: There are not many data points included in this analysis. Even if the p-value is high, we should be suspicious of using so few datapoints in a correlation.




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([0.300127,0.692269,0.401412,0.320969,0.288117,0.878399,3.64526,0.955356,])
array_2 = np.array([4,8,15,14,13,23,106,58,])
array_1_name = "Votes for the Libertarian Presidential candidate in Hawaii"
array_2_name = "Automotive recalls for issues with the Air Bags"

# 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: 4597 · Black Variable ID: 26083 · Red Variable ID: 1105
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