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Spurious correlation #4,721 · 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 Republican Presidential candidate in Minnesota and the second variable is Automotive recalls for issues with Exterior Lighting.  The chart goes from 1976 to 2020, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

Following the Republican candidate's lead, more and more cars in Minnesota started holding flashy and electrifying rallies, leading to a surge in automotive recalls for exterior lighting issues, as the cars just couldn't stop shining bright like a diamond!

Model: dalle-3
Prompt: Generate a comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s, depicting a parking lot in Minnesota filled with cars adorned with flashy exterior lighting, resembling a political rally. Amidst the sea of shining vehicles, a ballot box marked "Republican Presidential Candidate Votes" stands, capturing the surge in support for the party. The bright lights and the voting box create a captivating scene as the cars continue to shine like diamonds, prompting a rise in automotive recalls for exterior lighting issues. 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 Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. 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: A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Charcoal Vaporwave A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Futuristic
ChatGPT: A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s

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 Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting, in the following situation: Following the Republican candidate's lead, more and more cars in Minnesota started holding flashy and electrifying rallies, leading to a surge in automotive recalls for exterior lighting issues, as the cars just couldn't stop shining bright like a diamond! . Keep the description simple.
ChatGPT: A parking lot in Minnesota is filled with cars adorned with flashy exterior lighting, resembling a political rally. Amidst the sea of shining vehicles, a ballot box marked "Republican Presidential Candidate Votes" stands, capturing the surge in support for the party. The bright lights and the voting box create a captivating scene as the cars continue to shine like diamonds, prompting a rise in automotive recalls for exterior lighting issues.

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 comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s ] and depicting this scene: A parking lot in Minnesota is filled with cars adorned with flashy exterior lighting, resembling a political rally. Amidst the sea of shining vehicles, a ballot box marked "Republican Presidential Candidate Votes" stands, capturing the surge in support for the party. The bright lights and the voting box create a captivating scene as the cars continue to shine like diamonds, prompting a rise in automotive recalls for exterior lighting issues. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate a comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s, depicting a parking lot in Minnesota filled with cars adorned with flashy exterior lighting, resembling a political rally. Amidst the sea of shining vehicles, a ballot box marked "Republican Presidential Candidate Votes" stands, capturing the surge in support for the party. The bright lights and the voting box create a captivating scene as the cars continue to shine like diamonds, prompting a rise in automotive recalls for exterior lighting issues.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in Votes for the Republican Presidential candidate in Minnesota caused Automotive recalls for issues with Exterior Lighting to increase. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting

The Journal of Quirky Interdisciplinary 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 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 Votes for the Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Include a pun in the title.

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 0.9118178 and p < 0.01 for 1976 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]]
"Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting"

[[ABSTRACT]]
This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.


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 Votes for the Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
"Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting"

[[ABSTRACT]]
This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The unexplored nexus between political voting patterns and automotive malfunctions has long been overlooked in academic discourse. From presidential voting habits to vehicular defects, the linkage between these seemingly disparate entities beckons for closer examination. The aim of this research is to enlighten the scientific community about the unexpected association between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting.

While the world of politics and the realm of automotive engineering may appear to be galaxies apart, our investigation, employing rigorous statistical analyses, exposes an intriguing correlation that illuminates this unanticipated relationship. By scrutinizing voting data from the MIT Election Data and Science Lab and delving into automotive recall information from the US Department of Transportation, our study unravels a connection that is as fascinating as it is puzzling.

The statistical analysis brought forth a correlation coefficient of 0.9118178, which, if we may add, was quite a beacon of light from our data. The statistically significant p-value of less than 0.01 for the years 1976 to 2020 provided further confirmation of the statistical relevance of this connection, much to our surprise and delight. These remarkable findings bring to light the unexpected concurrence of political leanings and automotive lighting malfunctions, inviting a reconsideration of the conventional wisdom of causal relationships.

As we embark on this scholarly investigation, we endeavor to illuminate not only the statistical intricacies but also shed light on the humorously cryptic dance of democracy and vehicular electrics. This research aims to engage the scientific community in a journey toward understanding the unforeseen intersections between politics and automotive engineering – a path, we must say, replete with unexpected twists and turns.


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 Votes for the Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
"Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting"

[[ABSTRACT]]
This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The unexplored nexus between political voting patterns and automotive malfunctions has long been overlooked in academic discourse. From presidential voting habits to vehicular defects, the linkage between these seemingly disparate entities beckons for closer examination. The aim of this research is to enlighten the scientific community about the unexpected association between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting.
While the world of politics and the realm of automotive engineering may appear to be galaxies apart, our investigation, employing rigorous statistical analyses, exposes an intriguing correlation that illuminates this unanticipated relationship. By scrutinizing voting data from the MIT Election Data and Science Lab and delving into automotive recall information from the US Department of Transportation, our study unravels a connection that is as fascinating as it is puzzling.
The statistical analysis brought forth a correlation coefficient of 0.9118178, which, if we may add, was quite a beacon of light from our data. The statistically significant p-value of less than 0.01 for the years 1976 to 2020 provided further confirmation of the statistical relevance of this connection, much to our surprise and delight. These remarkable findings bring to light the unexpected concurrence of political leanings and automotive lighting malfunctions, inviting a reconsideration of the conventional wisdom of causal relationships.
As we embark on this scholarly investigation, we endeavor to illuminate not only the statistical intricacies but also shed light on the humorously cryptic dance of democracy and vehicular electrics. This research aims to engage the scientific community in a journey toward understanding the unforeseen intersections between politics and automotive engineering – a path, we must say, replete with unexpected twists and turns.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "Smith et al.," the authors find a substantial body of literature examining various aspects of political behavior and its drivers, with a focus on voting patterns and demographic characteristics. However, there remains a dearth of research exploring the potential association between political voting preferences and automotive malfunctions, particularly in the context of exterior lighting recalls. This apparent gap in the literature presents a fascinating opportunity to bridge the seemingly unrelated domains of political science and automotive engineering.

Furthermore, "Doe and Jones" highlight the influence of regional demographics on political voting patterns, emphasizing the importance of geospatial analysis in understanding electoral dynamics. Yet, while these studies offer valuable insights into regional political leanings, they neglect to explore the potential impacts of such preferences on automotive safety features. The authors posit that considering the geographical distribution of votes for the Republican presidential candidate in Minnesota may shed light on any discernible relationship with automotive recalls pertaining to exterior lighting.

Turning to the works of "Lorem and Ipsum," the scholarly exploration of automotive recalls and safety features comes into focus. However, the existing literature predominantly revolves around mechanical defects and technological malfunctions, with limited attention given to the intersection of political behavior and vehicular safety concerns. The authors argue that this oversight presents a notable gap in the research landscape, necessitating a closer examination of the curious confluence of political voting proclivities and automotive lighting deficiencies.

In a similar vein, "The Economics of Automotive Engineering" by renowned economist John A. Smith provides a comprehensive analysis of market forces and technological advancements in the automotive industry. While the book primarily attends to economic considerations, it inadvertently underscores the interconnectedness of political decisions and consumer behaviors, hinting at the potential relevance of political voting habits in shaping automotive product outcomes.

Shifting to a more creative exploration, the fictional works of "Lighting the Way: A Political Odyssey" by Jane Doe and "The Headlights Conspiracy" by John Jones venture into imaginative realms that, albeit fictional, offer intriguing narratives that parallel our research focus. These literary pieces, while not grounded in empirical evidence, serve as a source of inspiration for delving into the intersection of political intrigues and automotive illuminations, figuratively speaking.

Drawing further inspiration from the realm of board games, "Election Night: The Illuminating Race" and "Recall Rampage: Lights Out Edition" present entertaining simulations that, although not reflective of real-world phenomena, playfully allude to the theme of political votes intertwining with automotive lighting mishaps. While these references may seem tangential to rigorous scholarly inquiry, they underscore the underlying humor and creativity inherent in our exploration of this enigmatic connection.

In summary, the existing literature lays the groundwork for our investigation into the association between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. This review reveals a noticeable gap in scholarly inquiry and alludes to the potential for unexpected revelations within this uncharted territory, both scholarly and whimsical in nature.


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 Votes for the Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from MIT Election Data and Science Lab, Harvard Dataverse and US DOT . You used data from 1976 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]]
"Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting"

[[ABSTRACT]]
This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.

[[INTRODUCTION]]
The unexplored nexus between political voting patterns and automotive malfunctions has long been overlooked in academic discourse. From presidential voting habits to vehicular defects, the linkage between these seemingly disparate entities beckons for closer examination. The aim of this research is to enlighten the scientific community about the unexpected association between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting.
While the world of politics and the realm of automotive engineering may appear to be galaxies apart, our investigation, employing rigorous statistical analyses, exposes an intriguing correlation that illuminates this unanticipated relationship. By scrutinizing voting data from the MIT Election Data and Science Lab and delving into automotive recall information from the US Department of Transportation, our study unravels a connection that is as fascinating as it is puzzling.
The statistical analysis brought forth a correlation coefficient of 0.9118178, which, if we may add, was quite a beacon of light from our data. The statistically significant p-value of less than 0.01 for the years 1976 to 2020 provided further confirmation of the statistical relevance of this connection, much to our surprise and delight. These remarkable findings bring to light the unexpected concurrence of political leanings and automotive lighting malfunctions, inviting a reconsideration of the conventional wisdom of causal relationships.
As we embark on this scholarly investigation, we endeavor to illuminate not only the statistical intricacies but also shed light on the humorously cryptic dance of democracy and vehicular electrics. This research aims to engage the scientific community in a journey toward understanding the unforeseen intersections between politics and automotive engineering – a path, we must say, replete with unexpected twists and turns.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unearth the enigmatic correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting, our research team employed a methodological approach blending quantitative analysis and data mining techniques. The investigation commenced with the compilation of electoral voting data from the MIT Election Data and Science Lab, spanning the years 1976 to 2020. Leveraging this wealth of political data, we meticulously navigated the intricate terrain of prior election results to discern patterns and trends that could shed light on the connection at hand.

Simultaneously, automotive recall information pertaining to exterior lighting issues was extracted from the US Department of Transportation database, eliciting details on the temporal and spatial dimensions of these illuminating malfunctions. Subsequently, a comprehensive examination of the recall data was undertaken to discern any discernible patterns that hinted at a possible coalescence with the voting data.

Having amassed these datasets, the quantitative analyses were helmed by an assortment of econometric models, multivariate regression analyses, and predictive modeling techniques. The utilization of such methodological pluralism was driven by an intent to encapsulate the multifaceted dynamics of electoral behaviors and automotive malfunctions, affording a comprehensive canvas upon which to unravel this captivating correlation.

Notably, our approach also incorporated an emphasis on controlling for confounding variables, as we sought to mitigate the potential influence of extraneous factors that could obscure the underlying relationship. The judicious application of statistical controls acted as a safeguard against spurious correlations and bolstered the robustness of our findings.

Furthermore, our research team also endeavored to infuse a sense of whimsy into the methodological rigor, mindful of the cryptic dance unfolding between democracy and vehicular electrics. This amalgamation of scientific inquiry and playful curiosity allowed for a multidimensional exploration that transcended the mere mechanics of statistical analysis, embracing the quirkiness inherent to the pursuit of knowledge.

Thus, the methodology deployed in this study encapsulates both the steadfast dedication to scientific rigor and an appreciation for the humorously unexpected—magnifying the allure of the scholarly endeavor and the serendipitous revelations awaiting discovery within the labyrinthine nexus of political preferences and automotive illuminations.


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 Votes for the Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

For the time period 1976 to 2020, you found a correlation 0.9118178, r-squared of 0.8314117, 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]]
"Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting"

[[ABSTRACT]]
This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The unexplored nexus between political voting patterns and automotive malfunctions has long been overlooked in academic discourse. From presidential voting habits to vehicular defects, the linkage between these seemingly disparate entities beckons for closer examination. The aim of this research is to enlighten the scientific community about the unexpected association between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting.
While the world of politics and the realm of automotive engineering may appear to be galaxies apart, our investigation, employing rigorous statistical analyses, exposes an intriguing correlation that illuminates this unanticipated relationship. By scrutinizing voting data from the MIT Election Data and Science Lab and delving into automotive recall information from the US Department of Transportation, our study unravels a connection that is as fascinating as it is puzzling.
The statistical analysis brought forth a correlation coefficient of 0.9118178, which, if we may add, was quite a beacon of light from our data. The statistically significant p-value of less than 0.01 for the years 1976 to 2020 provided further confirmation of the statistical relevance of this connection, much to our surprise and delight. These remarkable findings bring to light the unexpected concurrence of political leanings and automotive lighting malfunctions, inviting a reconsideration of the conventional wisdom of causal relationships.
As we embark on this scholarly investigation, we endeavor to illuminate not only the statistical intricacies but also shed light on the humorously cryptic dance of democracy and vehicular electrics. This research aims to engage the scientific community in a journey toward understanding the unforeseen intersections between politics and automotive engineering – a path, we must say, replete with unexpected twists and turns.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis conducted in this study unveiled a notable correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. The correlation coefficient of 0.9118178 revealed a remarkably strong positive relationship between these seemingly incongruous variables. This coefficient shone like a beacon of statistical significance, capturing the attention of the research team and illuminating the unexpected interconnectedness of political inclinations and automotive lighting malfunctions.

The r-squared value of 0.8314117 further emphasized the robustness of this relationship, suggesting that approximately 83.14% of the variation in automotive recalls for exterior lighting can be explained by the votes for the Republican presidential candidate in Minnesota. The r-squared value, much like a guiding light, provided insight into the extent to which electoral preferences in this region are intertwined with vehicular lighting issues.

The p-value of less than 0.01 brought to light the statistically significant nature of this correlation, highlighting the improbability of these findings occurring by chance. This p-value illuminated the unexpected confluence of political affiliations and automotive lighting defects, prompting a deeper appreciation for the enigmatic dance of democracy and vehicular electrics.

The scatterplot presented in Fig. 1 depicted this compelling relationship, providing a visual representation of the positively correlated data points. The figure danced with data points, illustrating the captivating interplay between votes for the Republican presidential candidate and automotive recalls for issues with exterior lighting.


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 Votes for the Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
"Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting"

[[ABSTRACT]]
This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.

[[LITERATURE REVIEW]]
In "Smith et al.," the authors find a substantial body of literature examining various aspects of political behavior and its drivers, with a focus on voting patterns and demographic characteristics. However, there remains a dearth of research exploring the potential association between political voting preferences and automotive malfunctions, particularly in the context of exterior lighting recalls. This apparent gap in the literature presents a fascinating opportunity to bridge the seemingly unrelated domains of political science and automotive engineering.
Furthermore, "Doe and Jones" highlight the influence of regional demographics on political voting patterns, emphasizing the importance of geospatial analysis in understanding electoral dynamics. Yet, while these studies offer valuable insights into regional political leanings, they neglect to explore the potential impacts of such preferences on automotive safety features. The authors posit that considering the geographical distribution of votes for the Republican presidential candidate in Minnesota may shed light on any discernible relationship with automotive recalls pertaining to exterior lighting.
Turning to the works of "Lorem and Ipsum," the scholarly exploration of automotive recalls and safety features comes into focus. However, the existing literature predominantly revolves around mechanical defects and technological malfunctions, with limited attention given to the intersection of political behavior and vehicular safety concerns. The authors argue that this oversight presents a notable gap in the research landscape, necessitating a closer examination of the curious confluence of political voting proclivities and automotive lighting deficiencies.
In a similar vein, "The Economics of Automotive Engineering" by renowned economist John A. Smith provides a comprehensive analysis of market forces and technological advancements in the automotive industry. While the book primarily attends to economic considerations, it inadvertently underscores the interconnectedness of political decisions and consumer behaviors, hinting at the potential relevance of political voting habits in shaping automotive product outcomes.
Shifting to a more creative exploration, the fictional works of "Lighting the Way: A Political Odyssey" by Jane Doe and "The Headlights Conspiracy" by John Jones venture into imaginative realms that, albeit fictional, offer intriguing narratives that parallel our research focus. These literary pieces, while not grounded in empirical evidence, serve as a source of inspiration for delving into the intersection of political intrigues and automotive illuminations, figuratively speaking.
Drawing further inspiration from the realm of board games, "Election Night: The Illuminating Race" and "Recall Rampage: Lights Out Edition" present entertaining simulations that, although not reflective of real-world phenomena, playfully allude to the theme of political votes intertwining with automotive lighting mishaps. While these references may seem tangential to rigorous scholarly inquiry, they underscore the underlying humor and creativity inherent in our exploration of this enigmatic connection.
In summary, the existing literature lays the groundwork for our investigation into the association between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. This review reveals a noticeable gap in scholarly inquiry and alludes to the potential for unexpected revelations within this uncharted territory, both scholarly and whimsical in nature.

[[RESULTS]]
The analysis conducted in this study unveiled a notable correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. The correlation coefficient of 0.9118178 revealed a remarkably strong positive relationship between these seemingly incongruous variables. This coefficient shone like a beacon of statistical significance, capturing the attention of the research team and illuminating the unexpected interconnectedness of political inclinations and automotive lighting malfunctions.
The r-squared value of 0.8314117 further emphasized the robustness of this relationship, suggesting that approximately 83.14% of the variation in automotive recalls for exterior lighting can be explained by the votes for the Republican presidential candidate in Minnesota. The r-squared value, much like a guiding light, provided insight into the extent to which electoral preferences in this region are intertwined with vehicular lighting issues.
The p-value of less than 0.01 brought to light the statistically significant nature of this correlation, highlighting the improbability of these findings occurring by chance. This p-value illuminated the unexpected confluence of political affiliations and automotive lighting defects, prompting a deeper appreciation for the enigmatic dance of democracy and vehicular electrics.
The scatterplot presented in Fig. 1 depicted this compelling relationship, providing a visual representation of the positively correlated data points. The figure danced with data points, illustrating the captivating interplay between votes for the Republican presidential candidate and automotive recalls for issues with exterior lighting.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The remarkable correlation observed in this study between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting offers a luminous insight into the intricate intersection of political preferences and vehicular malfunctions. These findings not only supported the earlier research by Smith et al., which emphasized the influential drivers of political behavior, but also echoed the whimsical musings of "Lighting the Way: A Political Odyssey" by Jane Doe and the board game "Election Night: The Illuminating Race." Who would have thought that the board game's "illuminating race" would reflect a statistical reality?

Furthermore, the high r-squared value of 0.8314117 signifies the substantial explanatory power of votes for the Republican presidential candidate in Minnesota in predicting automotive recalls for exterior lighting, shedding a coherent light on the potential influence of political inclinations on vehicular safety. This observation resonates with the fanciful narratives of "The Headlights Conspiracy" by John Jones, perhaps not so fictional after all, as it subtly implies the intricate web woven between political allegiances and automotive lighting irregularities.

The statistically significant p-value of less than 0.01 reinforces the robustness of this unexpected correlation, indicating that the likelihood of this striking association occurring by chance is dimmer than a malfunctioning car headlight. This finding is in line with the evocative simulations "Recall Rampage: Lights Out Edition," playfully alluding to the entwined fate of political votes and automotive lighting defects, which now appears to be more empirical than a mere board game.

In light of these results, it is evident that the political milieu in Minnesota has a discernible impact on automotive lighting recalls, shining a spotlight on a previously overlooked connection. This unexpected intersection of political voting patterns and vehicular lighting intimates an enchanting narrative that goes beyond the mundane realms of scholarly inquiry into the whimsical domains of board games and imaginative literature. The light shed by these findings illuminates a captivating frontier for further investigation, blending the serious and the whimsical in a compelling dance of data and narratives.


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 Votes for the Republican Presidential candidate in Minnesota and Automotive recalls for issues with Exterior Lighting. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
"Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting"

[[ABSTRACT]]
This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.

[[INTRDUCTION]]
The unexplored nexus between political voting patterns and automotive malfunctions has long been overlooked in academic discourse. From presidential voting habits to vehicular defects, the linkage between these seemingly disparate entities beckons for closer examination. The aim of this research is to enlighten the scientific community about the unexpected association between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting.
While the world of politics and the realm of automotive engineering may appear to be galaxies apart, our investigation, employing rigorous statistical analyses, exposes an intriguing correlation that illuminates this unanticipated relationship. By scrutinizing voting data from the MIT Election Data and Science Lab and delving into automotive recall information from the US Department of Transportation, our study unravels a connection that is as fascinating as it is puzzling.
The statistical analysis brought forth a correlation coefficient of 0.9118178, which, if we may add, was quite a beacon of light from our data. The statistically significant p-value of less than 0.01 for the years 1976 to 2020 provided further confirmation of the statistical relevance of this connection, much to our surprise and delight. These remarkable findings bring to light the unexpected concurrence of political leanings and automotive lighting malfunctions, inviting a reconsideration of the conventional wisdom of causal relationships.
As we embark on this scholarly investigation, we endeavor to illuminate not only the statistical intricacies but also shed light on the humorously cryptic dance of democracy and vehicular electrics. This research aims to engage the scientific community in a journey toward understanding the unforeseen intersections between politics and automotive engineering – a path, we must say, replete with unexpected twists and turns.

[[RESULTS]]
The analysis conducted in this study unveiled a notable correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. The correlation coefficient of 0.9118178 revealed a remarkably strong positive relationship between these seemingly incongruous variables. This coefficient shone like a beacon of statistical significance, capturing the attention of the research team and illuminating the unexpected interconnectedness of political inclinations and automotive lighting malfunctions.
The r-squared value of 0.8314117 further emphasized the robustness of this relationship, suggesting that approximately 83.14% of the variation in automotive recalls for exterior lighting can be explained by the votes for the Republican presidential candidate in Minnesota. The r-squared value, much like a guiding light, provided insight into the extent to which electoral preferences in this region are intertwined with vehicular lighting issues.
The p-value of less than 0.01 brought to light the statistically significant nature of this correlation, highlighting the improbability of these findings occurring by chance. This p-value illuminated the unexpected confluence of political affiliations and automotive lighting defects, prompting a deeper appreciation for the enigmatic dance of democracy and vehicular electrics.
The scatterplot presented in Fig. 1 depicted this compelling relationship, providing a visual representation of the positively correlated data points. The figure danced with data points, illustrating the captivating interplay between votes for the Republican presidential candidate and automotive recalls for issues with exterior lighting.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has shed light on the intriguing correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. The remarkably strong positive relationship between these variables has illuminated the unexpected interconnectedness of political inclinations and automotive lighting malfunctions, bringing forth an illuminating discovery that is truly electric. The statistical significance of our findings, with a p-value of less than 0.01, offers a glimmer of hope for further exploration in this perplexing realm of democracy and vehicular electrics.

The r-squared value of 0.8314117 serves as a bright spark in understanding the variation in automotive recalls for exterior lighting, embodying the enlightening journey our research has embarked upon. Our findings dance with statistical intricacies, illuminating the path toward a deeper appreciation for the enigmatic dance of democracy and vehicular electrics. The scatterplot in Fig. 1, if we may say, puts the "spark" in sparkling data visualization, encapsulating the captivating interplay between votes for the Republican presidential candidate and automotive recalls for issues with exterior lighting.

In the spirit of scientific inquiry, we assert that no further investigation in this area is needed, as our findings have already provided the much-needed "illumination" on this curious relationship. It is tempting to say that this research sheds a "bright" light on the unexpected connections in the world of politics and automotive engineering. Further exploration in this area might only lead us into a "tangled web" of statistical paradoxes and electric puns, and so we can confidently conclude that this illuminating study has "exceeded its wattage."


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 Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Quirky Interdisciplinary 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 Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Quirky Research and Analysis


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 Shedding Light on Electoral Illuminations: The Illuminating Connection Between Republican Votes in Minnesota and Automotive Recalls for Exterior Lighting with an abstract of This study delves into the curious correlation between votes for the Republican presidential candidate in Minnesota and automotive recalls for issues with exterior lighting. Leveraging data from the MIT Election Data and Science Lab, Harvard Dataverse, and US Department of Transportation, our research team uncovered a striking correlation coefficient of 0.9118178 and a statistically significant p-value of less than 0.01 for the years 1976 to 2020, highlighting the perplexing intertwining of political preferences and automotive malfunctions. The implications of this unexpected relationship shed light on the unpredictability of political and automotive landscapes, prompting further investigation into the intricate dance of democracy and vehicular lighting.

ChatGPT:

Republican votes Minnesota, automotive recalls, exterior lighting, correlation coefficient, p-value, MIT Election Data and Science Lab, Harvard Dataverse, US Department of Transportation, political preferences, automotive malfunctions, political landscapes, vehicular lighting, democracy and automotive recalls

*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 Republican Presidential candidate in Minnesota
Detailed data title: Total votes cast for the Republican Presidential candidate in Minnesota
Source: MIT Election Data and Science Lab, Harvard Dataverse
See what else correlates with Votes for the Republican Presidential candidate in Minnesota

Automotive recalls for issues with Exterior Lighting
Source: US DOT
See what else correlates with Automotive recalls for issues with Exterior Lighting

Correlation r = 0.9118178 (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 = 0.8314117 (Coefficient of determination)
This means 83.1% of the change in the one variable (i.e., Automotive recalls for issues with Exterior Lighting) is predictable based on the change in the other (i.e., Votes for the Republican Presidential candidate in Minnesota) over the 12 years from 1976 through 2020.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.6E-5. 0.0000361604129403069950000000
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 0.91 in 0.0036% of random cases. Said differently, if you correlated 27,655 random variables You don't actually need 27 thousand variables to find a correlation like this one. 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.

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 11 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 11 because we have two variables measured over a period of 12 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.

[ 0.71, 0.98 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!


All values for the years included above: If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
197619801984198819921996200020042008201220162020
Votes for the Republican Presidential candidate in Minnesota (Total votes)8193958732681032600962337747841766395110966013467001275410132022013229501484060
Automotive recalls for issues with Exterior Lighting (Recalls)109812812243933233440




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([819395,873268,1032600,962337,747841,766395,1109660,1346700,1275410,1320220,1322950,1484060,])
array_2 = np.array([10,9,8,12,8,12,24,39,33,23,34,40,])
array_1_name = "Votes for the Republican Presidential candidate in Minnesota"
array_2_name = "Automotive recalls for issues with Exterior Lighting"

# 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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