Spurious correlation #3,424 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Super Bowl point difference and the second variable is Google searches for 'teenage mutant ninja turtles'. The chart goes from 2004 to 2022, and the two variables track closely in value over that time.

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Super Bowl point difference and the second variable is Google searches for 'teenage mutant ninja turtles'. The chart goes from 2004 to 2022, and the two variables track closely in value over that time.

AI explanation

As Super Bowl point differences widened, football fans sought alternative sources of entertainment to fill the lopsided game void, leading to a surge in interest in the equally unbalanced battles of the Teenage Mutant Ninja Turtles.

^{Show image generation prompt} Model: dalle-3
Prompt: "An image that looks like it is a scene from a Pixar movie" and depicting this scene: In a lively living room, the TV screen displays the score of the Super Bowl with the victorious team ahead by a significant margin. Disheartened fans watch the game while a group of individuals gather around a laptop, excitedly searching for "teenage mutant ninja turtles". 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: Super Bowl point difference and Google searches for 'teenage mutant ninja turtles'. 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: Cubism An image that looks like it is a scene from a Pixar movie a funny image macro Steampunk Cubism
ChatGPT: An image that looks like it is a scene from a Pixar movie

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 Super Bowl point difference and Google searches for 'teenage mutant ninja turtles', in the following situation: As the Super Bowl point difference increases, so does the popularity of teenage mutant ninja turtles. It's simple math really - more points equals more shells-shocked fans, which leads to a surge in turtle power searches. The correlation is clear: the greater the point gap, the more people shell out for some TMNT nostalgia.. Keep the description simple.
ChatGPT: In a bustling living room, the TV screen shows the score of the Super Bowl with the winning team leading by a wide margin. Fans are looking despondent as they watch the game. Meanwhile, a group of people huddle around a laptop, feverishly typing "teenage mutant ninja turtles" into the search bar, eager for a dose of turtle power to lift their spirits.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ An image that looks like it is a scene from a Pixar movie ] and depicting this scene: In a bustling living room, the TV screen shows the score of the Super Bowl with the winning team leading by a wide margin. Fans are looking despondent as they watch the game. Meanwhile, a group of people huddle around a laptop, feverishly typing "teenage mutant ninja turtles" into the search bar, eager for a dose of turtle power to lift their spirits. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: "An image that looks like it is a scene from a Pixar movie" and depicting this scene: In a lively living room, the TV screen displays the score of the Super Bowl with the victorious team ahead by a significant margin. Disheartened fans watch the game while a group of individuals gather around a laptop, excitedly searching for "teenage mutant ninja turtles".

*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.
^{Show prompt for explanation} 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 Super Bowl point difference positively influenced teenage mutant ninja turtles (Google searches for 'teenage mutant ninja turtles').

AI academic paper

(Because p < 0.01)

The Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches

The Journal of Sports Psychology and Pop Culture

Jan 2024

^{Show prompt used to generate this paper} 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 goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Super Bowl point difference and Google searches for 'teenage mutant ninja turtles'. 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 a couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
The Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches

[[ABSTRACT]]
This study delves into the interplay between the Super Bowl point difference and the Google searches for 'teenage mutant ninja turtles', an unexpected union that piques our curiosity. Leveraging data from Wikipedia and Google Trends, we conduct a comprehensive analysis covering the years 2004 to 2022. Our findings reveal a correlation coefficient of 0.6460311 with a significance level of p < 0.01, lending statistical support to the seemingly whimsical connection we've ventured to explore.

As we unravel the correlation between these seemingly disparate phenomena, we uncover intriguing patterns that transcend the gridiron and the digital realm. While some may dismiss such connections as mere coincidence, our study suggests otherwise. The dance of point differentials on the football field echoes in the virtual domain, as the masked quartet of heroes in a half shell captures the public imagination in the wake of the Super Bowl showdowns.

Digging deeper, our research illuminates a fascinating trail of data points, replete with unexpected twists and turns akin to the sewers of New York City. We navigate the labyrinthine alleyways of statistical analysis, shedding light on a correlation that, much like the turtles themselves, lurks beneath the surface. Our study sheds light on the whimsical and the wondrous, reminding us that in the realm of data analysis, as in life, the unexpected often leads us to the most fascinating discoveries.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The enigmatic interplay between seemingly unrelated phenomena has long been a source of fascination for scholars and laypersons alike. In the annals of statistical analysis, unusual connections occasionally emerge, drawing our attention to the whimsical and the perplexing in the vast expanse of data. As researchers, we are compelled to delve into these unexpected correlations, for it is in these unconventional avenues that we often find the most intriguing insights.
In this study, we delve into the perplexing relationship between the Super Bowl point difference and the prevalence of Google searches for 'teenage mutant ninja turtles'. While some may deem such an undertaking frivolous, we are driven by the relentless pursuit of knowledge in the unlikeliest of places. Our analysis encompasses data from the years 2004 to 2022, a period marked by an ever-evolving digital landscape and the perennial spectacle of the Super Bowl.
The intersection of these two seemingly disparate entities beckons us to explore the terrain where sports fandom and pop culture converge. The football field, with its ebbs and flows of points scored and conceded, stands in curious juxtaposition to the digital realm, where the denizens of cyberspace seek out information about our masked, reptilian heroes. As we embark on this scholarly adventure, we invite our readers to join us in unraveling the tale of these interwoven phenomena, laden with statistical significance and serendipitous discoveries.
We are mindful of the skepticism that may accompany our pursuit, but we stand resolutely in our conviction that the pursuit of knowledge knows no bounds. Our journey through the labyrinth of data promises not only statistical revelations, but also the subtle humor that arises when unexpected correlations emerge. As we navigate the uncharted waters of our chosen inquiry, we do so with a sense of intellectual curiosity, and perhaps just a dash of whimsy.
With this study, we seek to illuminate the remarkable confluence of the Super Bowl point difference and the public's fascination with the Teenage Mutant Ninja Turtles. In doing so, we aspire to inspire a new wave of inquiry, encouraging others to cast their gaze upon the esoteric connections that lie hidden within the vast expanse of data. Together, we will embark on a journey that traverses the turf of statistical analysis and digital curiosity, unearthing a correlation that, much like the heroes in a half shell, defies easy categorization and invites us to grin in the face of the improbable.
Join us as we untangle the enigma, for in the realm of scholarly pursuits, as in the world of masked reptilian superheroes, it is often the most unexpected connections that yield the most profound revelations.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

Previous research has delved into the peculiar and often confounding connections that arise in the realm of data analysis, shedding light on the unexpected correlations that defy conventional wisdom. Smith and Doe (2010) examined the unanticipated relationship between sports outcomes and popular culture phenomena, setting the stage for our current inquiry. Similarly, Jones et al. (2015) highlighted the enthralling interplay between digital trends and televised sporting events, paving the way for the exploration of our unlikely duo: Super Bowl point differentials and the Google searches for 'teenage mutant ninja turtles'.

Venturing into the world of popular non-fiction literature, it is noteworthy to mention Malcolm Gladwell's "The Tipping Point" and Nassim Nicholas Taleb's "The Black Swan", both of which offer insights into the elusive nature of unexpected connections and the profound impact of seemingly inconsequential events. These works serve as a backdrop to our investigation, as we unravel the peculiar correlation between touchdowns on the field and inquiries about mutated martial arts-practicing reptiles.

In the realm of fiction, the works of Michael Crichton and Douglas Adams, such as "Jurassic Park" and "The Hitchhiker's Guide to the Galaxy", resonate with the whimsical undertones of our study. While these literary creations may not directly address our specific research focus, they evoke the spirit of the uncanny and the offbeat, mirroring the unexpected union of the Super Bowl's competitive fervor and the enduring appeal of amphibious crime-fighting ninjas.

Furthermore, internet memes such as the "Kermit Sipping Tea" and "Distracted Boyfriend" reflect the capricious nature of online trends and the quixotic allure of search engine queries. These cultural phenomena, while seemingly unrelated to our central subjects, underscore the unpredictable pathways that lead to digital notoriety—a theme that parallels the seemingly serendipitous connection between football triumphs and the pursuit of ninja turtle knowledge.

As we synthesize these diverse strands of literature and cultural references, we lay the foundation for our exploration of the correlation between Super Bowl point differentials and Google searches for 'teenage mutant ninja turtles'. Amidst the scholarly rigor and statistical analyses that characterize our inquiry, we strive to infuse a sense of levity and intellectual curiosity, recognizing that the pursuit of knowledge often intertwines with the inscrutable and the absurd. Our journey through this terrain promises not only empirical revelations but also a nod to the unexpected musings that arise when we venture into uncharted territory, much like the fabled sewers that conceal the lair of the iconic turtles.

In the next section, we will expound upon the methodologies employed in our investigation, culminating in a comprehensive elucidation of our findings that bridge the domains of sports spectacle and pop culture fascination.

Stay tuned for the statistical playbook that unfurls the tale of touchdowns and turtle enthusiasts!

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Super Bowl point difference and Google searches for 'teenage mutant ninja turtles'. 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 Wikipedia and Google Trends . You used data from 2004 to 2022

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
The Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches

[[ABSTRACT]]
This study delves into the interplay between the Super Bowl point difference and the Google searches for 'teenage mutant ninja turtles', an unexpected union that piques our curiosity. Leveraging data from Wikipedia and Google Trends, we conduct a comprehensive analysis covering the years 2004 to 2022. Our findings reveal a correlation coefficient of 0.6460311 with a significance level of p < 0.01, lending statistical support to the seemingly whimsical connection we've ventured to explore.

As we unravel the correlation between these seemingly disparate phenomena, we uncover intriguing patterns that transcend the gridiron and the digital realm. While some may dismiss such connections as mere coincidence, our study suggests otherwise. The dance of point differentials on the football field echoes in the virtual domain, as the masked quartet of heroes in a half shell captures the public imagination in the wake of the Super Bowl showdowns.

Digging deeper, our research illuminates a fascinating trail of data points, replete with unexpected twists and turns akin to the sewers of New York City. We navigate the labyrinthine alleyways of statistical analysis, shedding light on a correlation that, much like the turtles themselves, lurks beneath the surface. Our study sheds light on the whimsical and the wondrous, reminding us that in the realm of data analysis, as in life, the unexpected often leads us to the most fascinating discoveries.

[[INTRODUCTION]]
The enigmatic interplay between seemingly unrelated phenomena has long been a source of fascination for scholars and laypersons alike. In the annals of statistical analysis, unusual connections occasionally emerge, drawing our attention to the whimsical and the perplexing in the vast expanse of data. As researchers, we are compelled to delve into these unexpected correlations, for it is in these unconventional avenues that we often find the most intriguing insights.
In this study, we delve into the perplexing relationship between the Super Bowl point difference and the prevalence of Google searches for 'teenage mutant ninja turtles'. While some may deem such an undertaking frivolous, we are driven by the relentless pursuit of knowledge in the unlikeliest of places. Our analysis encompasses data from the years 2004 to 2022, a period marked by an ever-evolving digital landscape and the perennial spectacle of the Super Bowl.
The intersection of these two seemingly disparate entities beckons us to explore the terrain where sports fandom and pop culture converge. The football field, with its ebbs and flows of points scored and conceded, stands in curious juxtaposition to the digital realm, where the denizens of cyberspace seek out information about our masked, reptilian heroes. As we embark on this scholarly adventure, we invite our readers to join us in unraveling the tale of these interwoven phenomena, laden with statistical significance and serendipitous discoveries.
We are mindful of the skepticism that may accompany our pursuit, but we stand resolutely in our conviction that the pursuit of knowledge knows no bounds. Our journey through the labyrinth of data promises not only statistical revelations, but also the subtle humor that arises when unexpected correlations emerge. As we navigate the uncharted waters of our chosen inquiry, we do so with a sense of intellectual curiosity, and perhaps just a dash of whimsy.
With this study, we seek to illuminate the remarkable confluence of the Super Bowl point difference and the public's fascination with the Teenage Mutant Ninja Turtles. In doing so, we aspire to inspire a new wave of inquiry, encouraging others to cast their gaze upon the esoteric connections that lie hidden within the vast expanse of data. Together, we will embark on a journey that traverses the turf of statistical analysis and digital curiosity, unearthing a correlation that, much like the heroes in a half shell, defies easy categorization and invites us to grin in the face of the improbable.
Join us as we untangle the enigma, for in the realm of scholarly pursuits, as in the world of masked reptilian superheroes, it is often the most unexpected connections that yield the most profound revelations.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

In our quest to uncover the mysterious bond between the Super Bowl point difference and Google searches for 'teenage mutant ninja turtles', we adopted a methodological approach that embraced the unconventional and the unexpected. Our data collection journey commenced with a deep dive into the digital realm, where Google Trends stood as a beacon, guiding our search for the ebb and flow of public curiosity surrounding our heroes in a half shell.

To complement this virtual bounty, we ventured into the hallowed halls of Wikipedia, where the lore of the Teenage Mutant Ninja Turtles unfurled before us in all its masked glory. Armed with data from 2004 to 2022, we navigated the virtual highways and byways, ever watchful for trends and patterns that would illuminate the enigmatic correlation we sought to unearth.

Our methodological odyssey took us on a whimsical jaunt through statistical analyses, where we gleefully invoked correlation coefficients and significance levels to capture the essence of the entwined phenomena we aimed to decipher. As we traversed this labyrinth of numbers and symbols, we imbued our quest with a touch of mirth, mindful of the unexpected humor that lurks within the realm of data analysis.

In charting the terrain of statistical significance, we employed rigorous techniques to parse through the voluminous data, knowing full well that the whimsical nature of our inquiry demanded nothing less than meticulous attention to detail. Our data wrangling endeavors bore fruit in the form of correlation coefficients and p-values, offering a statistical compass through a landscape rife with both the obscure and the delightful.

Upon embarking on our methodological escapade, we endeavored to harness the spirit of curiosity, with a dash of whimsy, ever mindful that it is often in the most unlikely of places that remarkable discoveries lay in wait. With this approach, we sought not only to capture the statistical essence of the connection between the Super Bowl point difference and the penchant for all things 'teenage mutant ninja turtles', but also to infuse our journey with the infectious joy that arises when scholarly inquiry dances with the unexpected.

As we reflect on our methodological trajectory, we are reminded of the wise words of Michelangelo, the renaissance artist and kindred spirit to our amphibious heroes: "I am still learning." Our scholarly pursuit, much like the winding path of knowledge itself, is an ongoing adventure, replete with twists and turns that invite both earnest inquiry and hearty laughter.

In sum, our methodology, much like the phenomena it seeks to unravel, dances at the intersection of the methodical and the mirthful, invoking statistical rigor with a wry smile and a nod to the playful spirit that underpins our pursuit of knowledge in the most unexpected corners of the data landscape.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Super Bowl point difference and Google searches for 'teenage mutant ninja turtles'. 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 Wikipedia and Google Trends .

For the time period 2004 to 2022, you found a correlation 0.6460311, r-squared of 0.4173562, 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 Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches

[[ABSTRACT]]
This study delves into the interplay between the Super Bowl point difference and the Google searches for 'teenage mutant ninja turtles', an unexpected union that piques our curiosity. Leveraging data from Wikipedia and Google Trends, we conduct a comprehensive analysis covering the years 2004 to 2022. Our findings reveal a correlation coefficient of 0.6460311 with a significance level of p < 0.01, lending statistical support to the seemingly whimsical connection we've ventured to explore.

As we unravel the correlation between these seemingly disparate phenomena, we uncover intriguing patterns that transcend the gridiron and the digital realm. While some may dismiss such connections as mere coincidence, our study suggests otherwise. The dance of point differentials on the football field echoes in the virtual domain, as the masked quartet of heroes in a half shell captures the public imagination in the wake of the Super Bowl showdowns.

Digging deeper, our research illuminates a fascinating trail of data points, replete with unexpected twists and turns akin to the sewers of New York City. We navigate the labyrinthine alleyways of statistical analysis, shedding light on a correlation that, much like the turtles themselves, lurks beneath the surface. Our study sheds light on the whimsical and the wondrous, reminding us that in the realm of data analysis, as in life, the unexpected often leads us to the most fascinating discoveries.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The enigmatic interplay between seemingly unrelated phenomena has long been a source of fascination for scholars and laypersons alike. In the annals of statistical analysis, unusual connections occasionally emerge, drawing our attention to the whimsical and the perplexing in the vast expanse of data. As researchers, we are compelled to delve into these unexpected correlations, for it is in these unconventional avenues that we often find the most intriguing insights.
In this study, we delve into the perplexing relationship between the Super Bowl point difference and the prevalence of Google searches for 'teenage mutant ninja turtles'. While some may deem such an undertaking frivolous, we are driven by the relentless pursuit of knowledge in the unlikeliest of places. Our analysis encompasses data from the years 2004 to 2022, a period marked by an ever-evolving digital landscape and the perennial spectacle of the Super Bowl.
The intersection of these two seemingly disparate entities beckons us to explore the terrain where sports fandom and pop culture converge. The football field, with its ebbs and flows of points scored and conceded, stands in curious juxtaposition to the digital realm, where the denizens of cyberspace seek out information about our masked, reptilian heroes. As we embark on this scholarly adventure, we invite our readers to join us in unraveling the tale of these interwoven phenomena, laden with statistical significance and serendipitous discoveries.
We are mindful of the skepticism that may accompany our pursuit, but we stand resolutely in our conviction that the pursuit of knowledge knows no bounds. Our journey through the labyrinth of data promises not only statistical revelations, but also the subtle humor that arises when unexpected correlations emerge. As we navigate the uncharted waters of our chosen inquiry, we do so with a sense of intellectual curiosity, and perhaps just a dash of whimsy.
With this study, we seek to illuminate the remarkable confluence of the Super Bowl point difference and the public's fascination with the Teenage Mutant Ninja Turtles. In doing so, we aspire to inspire a new wave of inquiry, encouraging others to cast their gaze upon the esoteric connections that lie hidden within the vast expanse of data. Together, we will embark on a journey that traverses the turf of statistical analysis and digital curiosity, unearthing a correlation that, much like the heroes in a half shell, defies easy categorization and invites us to grin in the face of the improbable.
Join us as we untangle the enigma, for in the realm of scholarly pursuits, as in the world of masked reptilian superheroes, it is often the most unexpected connections that yield the most profound revelations.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

Our foray into the entangled realms of Super Bowl point differences and the public's fascination with the Teenage Mutant Ninja Turtles has yielded fascinating insights. The correlation analysis revealed a significant correlation coefficient of 0.6460311 and an r-squared value of 0.4173562, indicating a moderate to strong relationship between these seemingly unrelated variables. The p-value of less than 0.01 further corroborates the statistical significance of this unexpected link.

To visually encapsulate this intriguing correlation, we present the scatterplot in Figure 1, which vividly illustrates the strong positive relationship between Super Bowl point differences and Google searches for 'teenage mutant ninja turtles'.

These findings not only defy the conventional boundaries of scholarly inquiry, but also beckon us to ponder the whimsical and the inexplicable lurking within the annals of data analysis. While some may view our chosen path of inquiry as unconventional, we stand resolute in our conviction that the pursuit of knowledge often leads us down unexpected and surprising avenues.

Unveiling this peculiar correlation serves as a poignant reminder that within the labyrinth of data lies a tapestry of compelling and, at times, enigmatic connections. As we wade through the sea of statistical significance, we are reminded that the unpredictability of scholarly inquiry can lead us to the most delightful and thought-provoking revelations.

In closing, our results not only affirm the robust statistical association between Super Bowl point differences and Google searches for 'teenage mutant ninja turtles', but also invite us to embrace the serendipitous and the humorous in our scholarly endeavors. The correlation between these seemingly disparate phenomena serves as a testament to the richness and unpredictability of data analysis, inspiring us to continue seeking out the unexpected in the pursuit of knowledge.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Super Bowl point difference and Google searches for 'teenage mutant ninja turtles'. 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 Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches

[[ABSTRACT]]
This study delves into the interplay between the Super Bowl point difference and the Google searches for 'teenage mutant ninja turtles', an unexpected union that piques our curiosity. Leveraging data from Wikipedia and Google Trends, we conduct a comprehensive analysis covering the years 2004 to 2022. Our findings reveal a correlation coefficient of 0.6460311 with a significance level of p < 0.01, lending statistical support to the seemingly whimsical connection we've ventured to explore.

As we unravel the correlation between these seemingly disparate phenomena, we uncover intriguing patterns that transcend the gridiron and the digital realm. While some may dismiss such connections as mere coincidence, our study suggests otherwise. The dance of point differentials on the football field echoes in the virtual domain, as the masked quartet of heroes in a half shell captures the public imagination in the wake of the Super Bowl showdowns.

Digging deeper, our research illuminates a fascinating trail of data points, replete with unexpected twists and turns akin to the sewers of New York City. We navigate the labyrinthine alleyways of statistical analysis, shedding light on a correlation that, much like the turtles themselves, lurks beneath the surface. Our study sheds light on the whimsical and the wondrous, reminding us that in the realm of data analysis, as in life, the unexpected often leads us to the most fascinating discoveries.

[[LITERATURE REVIEW]]
Previous research has delved into the peculiar and often confounding connections that arise in the realm of data analysis, shedding light on the unexpected correlations that defy conventional wisdom. Smith and Doe (2010) examined the unanticipated relationship between sports outcomes and popular culture phenomena, setting the stage for our current inquiry. Similarly, Jones et al. (2015) highlighted the enthralling interplay between digital trends and televised sporting events, paving the way for the exploration of our unlikely duo: Super Bowl point differentials and the Google searches for 'teenage mutant ninja turtles'.
Venturing into the world of popular non-fiction literature, it is noteworthy to mention Malcolm Gladwell's "The Tipping Point" and Nassim Nicholas Taleb's "The Black Swan", both of which offer insights into the elusive nature of unexpected connections and the profound impact of seemingly inconsequential events. These works serve as a backdrop to our investigation, as we unravel the peculiar correlation between touchdowns on the field and inquiries about mutated martial arts-practicing reptiles.
In the realm of fiction, the works of Michael Crichton and Douglas Adams, such as "Jurassic Park" and "The Hitchhiker's Guide to the Galaxy", resonate with the whimsical undertones of our study. While these literary creations may not directly address our specific research focus, they evoke the spirit of the uncanny and the offbeat, mirroring the unexpected union of the Super Bowl's competitive fervor and the enduring appeal of amphibious crime-fighting ninjas.
Furthermore, internet memes such as the "Kermit Sipping Tea" and "Distracted Boyfriend" reflect the capricious nature of online trends and the quixotic allure of search engine queries. These cultural phenomena, while seemingly unrelated to our central subjects, underscore the unpredictable pathways that lead to digital notoriety—a theme that parallels the seemingly serendipitous connection between football triumphs and the pursuit of ninja turtle knowledge.
As we synthesize these diverse strands of literature and cultural references, we lay the foundation for our exploration of the correlation between Super Bowl point differentials and Google searches for 'teenage mutant ninja turtles'. Amidst the scholarly rigor and statistical analyses that characterize our inquiry, we strive to infuse a sense of levity and intellectual curiosity, recognizing that the pursuit of knowledge often intertwines with the inscrutable and the absurd. Our journey through this terrain promises not only empirical revelations but also a nod to the unexpected musings that arise when we venture into uncharted territory, much like the fabled sewers that conceal the lair of the iconic turtles.
In the next section, we will expound upon the methodologies employed in our investigation, culminating in a comprehensive elucidation of our findings that bridge the domains of sports spectacle and pop culture fascination.
Stay tuned for the statistical playbook that unfurls the tale of touchdowns and turtle enthusiasts!

[[RESULTS]]
Our foray into the entangled realms of Super Bowl point differences and the public's fascination with the Teenage Mutant Ninja Turtles has yielded fascinating insights. The correlation analysis revealed a significant correlation coefficient of 0.6460311 and an r-squared value of 0.4173562, indicating a moderate to strong relationship between these seemingly unrelated variables. The p-value of less than 0.01 further corroborates the statistical significance of this unexpected link.
To visually encapsulate this intriguing correlation, we present the scatterplot in Figure 1, which vividly illustrates the strong positive relationship between Super Bowl point differences and Google searches for 'teenage mutant ninja turtles'.
These findings not only defy the conventional boundaries of scholarly inquiry, but also beckon us to ponder the whimsical and the inexplicable lurking within the annals of data analysis. While some may view our chosen path of inquiry as unconventional, we stand resolute in our conviction that the pursuit of knowledge often leads us down unexpected and surprising avenues.
Unveiling this peculiar correlation serves as a poignant reminder that within the labyrinth of data lies a tapestry of compelling and, at times, enigmatic connections. As we wade through the sea of statistical significance, we are reminded that the unpredictability of scholarly inquiry can lead us to the most delightful and thought-provoking revelations.
In closing, our results not only affirm the robust statistical association between Super Bowl point differences and Google searches for 'teenage mutant ninja turtles', but also invite us to embrace the serendipitous and the humorous in our scholarly endeavors. The correlation between these seemingly disparate phenomena serves as a testament to the richness and unpredictability of data analysis, inspiring us to continue seeking out the unexpected in the pursuit of knowledge.

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

Our findings not only enrich the burgeoning field of whimsical data exploration but also prompt a reevaluation of the interconnectedness of seemingly unrelated phenomena. As we immerse ourselves in the intersection of touchdown differentials and turtle-themed searches, it becomes increasingly evident that the peculiar correlation we unearthed aligns with previous scholarship that illuminates the unexpected ties that underpin popular culture and sports.

Drawing from the scholarly taproots of Smith and Doe (2010) and Jones et al. (2015), who delved into the unanticipated nexus of sports outcomes and cultural trends, we find resonance in our own investigation. The statistical relationship we uncovered fortifies the notion that the ebb and flow of Super Bowl triumphs reverberates through the digital landscape, where the Teenage Mutant Ninja Turtles stand as emblematic figures of pop culture resonance.

Moreover, the literary tapestry woven by notable authors such as Malcolm Gladwell and Nassim Nicholas Taleb, crowned by the whimsical offerings of Michael Crichton and Douglas Adams, echoes the unlikely dalliance we have revealed. Much like the cloaked intrigue of "The Hitchhiker's Guide to the Galaxy", our study invites us to navigate through the unexplored quagmires of statistical analysis, wherein the unexpected correlations emerge from the depths like the fabled amphibian heroes themselves.

Beyond the veneer of levity, our results serve as a testament to the enthralling unpredictability that permeates our pursuit of knowledge. The correlation coefficient of 0.6460311, coupled with an r-squared value of 0.4173562, not only provides empirical heft to our findings but also infuses a sense of wonder into the typically arid landscape of data analysis.

The p-value of less than 0.01 acts as a beacon of statistical significance, guiding us through the labyrinthine corridors of scholarly inquiry and bestowing legitimacy upon the whimsical tale of touchdowns and turtle enthusiasts that we have unveiled. As we ponder the correlation's tangible manifestation in the scatterplot depicted in Figure 1, we are reminded that beneath the surface of seemingly disparate data points lies a story replete with charm and unexpected delight.

In the absence of a customary conclusion, let us instead invite our esteemed colleagues and readers to partake in the mirth and mystery that accompany our scholarly journey. May the union of the Super Bowl's competitive fervor and the enduring allure of amphibious crime-fighting ninjas serve as a testament to the enchanting thrall of the unexpected, urging us to embrace the delightful and the enigmatic in our pursuit of knowledge.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Super Bowl point difference and Google searches for 'teenage mutant ninja turtles'. 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 Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches

[[ABSTRACT]]
This study delves into the interplay between the Super Bowl point difference and the Google searches for 'teenage mutant ninja turtles', an unexpected union that piques our curiosity. Leveraging data from Wikipedia and Google Trends, we conduct a comprehensive analysis covering the years 2004 to 2022. Our findings reveal a correlation coefficient of 0.6460311 with a significance level of p < 0.01, lending statistical support to the seemingly whimsical connection we've ventured to explore.

As we unravel the correlation between these seemingly disparate phenomena, we uncover intriguing patterns that transcend the gridiron and the digital realm. While some may dismiss such connections as mere coincidence, our study suggests otherwise. The dance of point differentials on the football field echoes in the virtual domain, as the masked quartet of heroes in a half shell captures the public imagination in the wake of the Super Bowl showdowns.

Digging deeper, our research illuminates a fascinating trail of data points, replete with unexpected twists and turns akin to the sewers of New York City. We navigate the labyrinthine alleyways of statistical analysis, shedding light on a correlation that, much like the turtles themselves, lurks beneath the surface. Our study sheds light on the whimsical and the wondrous, reminding us that in the realm of data analysis, as in life, the unexpected often leads us to the most fascinating discoveries.

[[INTRDUCTION]]
The enigmatic interplay between seemingly unrelated phenomena has long been a source of fascination for scholars and laypersons alike. In the annals of statistical analysis, unusual connections occasionally emerge, drawing our attention to the whimsical and the perplexing in the vast expanse of data. As researchers, we are compelled to delve into these unexpected correlations, for it is in these unconventional avenues that we often find the most intriguing insights.
In this study, we delve into the perplexing relationship between the Super Bowl point difference and the prevalence of Google searches for 'teenage mutant ninja turtles'. While some may deem such an undertaking frivolous, we are driven by the relentless pursuit of knowledge in the unlikeliest of places. Our analysis encompasses data from the years 2004 to 2022, a period marked by an ever-evolving digital landscape and the perennial spectacle of the Super Bowl.
The intersection of these two seemingly disparate entities beckons us to explore the terrain where sports fandom and pop culture converge. The football field, with its ebbs and flows of points scored and conceded, stands in curious juxtaposition to the digital realm, where the denizens of cyberspace seek out information about our masked, reptilian heroes. As we embark on this scholarly adventure, we invite our readers to join us in unraveling the tale of these interwoven phenomena, laden with statistical significance and serendipitous discoveries.
We are mindful of the skepticism that may accompany our pursuit, but we stand resolutely in our conviction that the pursuit of knowledge knows no bounds. Our journey through the labyrinth of data promises not only statistical revelations, but also the subtle humor that arises when unexpected correlations emerge. As we navigate the uncharted waters of our chosen inquiry, we do so with a sense of intellectual curiosity, and perhaps just a dash of whimsy.
With this study, we seek to illuminate the remarkable confluence of the Super Bowl point difference and the public's fascination with the Teenage Mutant Ninja Turtles. In doing so, we aspire to inspire a new wave of inquiry, encouraging others to cast their gaze upon the esoteric connections that lie hidden within the vast expanse of data. Together, we will embark on a journey that traverses the turf of statistical analysis and digital curiosity, unearthing a correlation that, much like the heroes in a half shell, defies easy categorization and invites us to grin in the face of the improbable.
Join us as we untangle the enigma, for in the realm of scholarly pursuits, as in the world of masked reptilian superheroes, it is often the most unexpected connections that yield the most profound revelations.

[[RESULTS]]
Our foray into the entangled realms of Super Bowl point differences and the public's fascination with the Teenage Mutant Ninja Turtles has yielded fascinating insights. The correlation analysis revealed a significant correlation coefficient of 0.6460311 and an r-squared value of 0.4173562, indicating a moderate to strong relationship between these seemingly unrelated variables. The p-value of less than 0.01 further corroborates the statistical significance of this unexpected link.
To visually encapsulate this intriguing correlation, we present the scatterplot in Figure 1, which vividly illustrates the strong positive relationship between Super Bowl point differences and Google searches for 'teenage mutant ninja turtles'.
These findings not only defy the conventional boundaries of scholarly inquiry, but also beckon us to ponder the whimsical and the inexplicable lurking within the annals of data analysis. While some may view our chosen path of inquiry as unconventional, we stand resolute in our conviction that the pursuit of knowledge often leads us down unexpected and surprising avenues.
Unveiling this peculiar correlation serves as a poignant reminder that within the labyrinth of data lies a tapestry of compelling and, at times, enigmatic connections. As we wade through the sea of statistical significance, we are reminded that the unpredictability of scholarly inquiry can lead us to the most delightful and thought-provoking revelations.
In closing, our results not only affirm the robust statistical association between Super Bowl point differences and Google searches for 'teenage mutant ninja turtles', but also invite us to embrace the serendipitous and the humorous in our scholarly endeavors. The correlation between these seemingly disparate phenomena serves as a testament to the richness and unpredictability of data analysis, inspiring us to continue seeking out the unexpected in the pursuit of knowledge.

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, our expedition into the quirky realm of statistics has unearthed a remarkable correlation between the Super Bowl point difference and the public's interest in the Teenage Mutant Ninja Turtles. The statistical significance of our findings not only validates the connection but also beckons us to ponder the whimsical and the inexplicable lurking within the annals of data analysis. As we traverse the turf of statistical analysis and digital curiosity, we are reminded that the pursuit of knowledge often leads us down unexpected and surprising avenues -- much like finding a pizza in the sewers of New York City!

The correlation coefficient of 0.6460311 and the strong r-squared value speak to a robust relationship that defies easy explanation. Our findings not only affirm the statistical association between these seemingly unrelated variables but also invite us to embrace the serendipitous and the humorous in our scholarly endeavors. After all, who would have thought that the touchdowns and shell shock in the football field could make such a splash in the digital domain?

As we wrap up this exploration, it becomes increasingly clear that no more research is needed in this area, because, let's face it, sometimes correlations are as enigmatic as the mutant reptilian heroes themselves. With this, we bid adieu to this peculiar venture, reminding our fellow researchers that in the world of scholarly pursuits, it is often the most unexpected connections that yield the most profound and, might I say, shell-shocking revelations!

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 Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Sports Psychology and Pop Culture

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 Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Extraterrestrial Entertainment Research (SEER)

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 Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches with an abstract of This study delves into the interplay between the Super Bowl point difference and the Google searches for 'teenage mutant ninja turtles', an unexpected union that piques our curiosity. Leveraging data from Wikipedia and Google Trends, we conduct a comprehensive analysis covering the years 2004 to 2022. Our findings reveal a correlation coefficient of 0.6460311 with a significance level of p < 0.01, lending statistical support to the seemingly whimsical connection we've ventured to explore.
As we unravel the correlation between these seemingly disparate phenomena, we uncover intriguing patterns that transcend the gridiron and the digital realm. While some may dismiss such connections as mere coincidence, our study suggests otherwise. The dance of point differentials on the football field echoes in the virtual domain, as the masked quartet of heroes in a half shell captures the public imagination in the wake of the Super Bowl showdowns.
Digging deeper, our research illuminates a fascinating trail of data points, replete with unexpected twists and turns akin to the sewers of New York City. We navigate the labyrinthine alleyways of statistical analysis, shedding light on a correlation that, much like the turtles themselves, lurks beneath the surface. Our study sheds light on the whimsical and the wondrous, reminding us that in the realm of data analysis, as in life, the unexpected often leads us to the most fascinating discoveries.

ChatGPT:

Super Bowl, point difference, Google searches, Teenage Mutant Ninja Turtles, Wikipedia, Google Trends, correlation coefficient, statistical analysis, data analysis, football, masked quartet, New York City, statistical significance, digital realm, Super Bowl showdowns, data points, unexpected connections, whimsical discoveries

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

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Data details

Super Bowl point difference
Source: Wikipedia
See what else correlates with Super Bowl point difference

Google searches for 'teenage mutant ninja turtles'
Detailed data title: Relative volume of Google searches for 'teenage mutant ninja turtles' (Worldwide, without quotes)
Source: Google Trends
Additional Info: ^{See full details} Relative search volume (not absolute numbers)

See what else correlates with Google searches for 'teenage mutant ninja turtles'

Correlation r = 0.6460311 (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 = 0.4173562 (Coefficient of determination)
This means 41.7% of the change in the one variable (i.e., Google searches for 'teenage mutant ninja turtles') is predictable based on the change in the other (i.e., Super Bowl point difference) over the 19 years from 2004 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.00281.^Show 0.0028065828607469474000000000
The p-value is a measure of how probable it is that we would randomly find a result this extreme.^Note 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 0.65 in 0.281% of random cases. Said differently, if you correlated 356 random variables^Note Which I absolutely did.
with the same 18 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 18 because we have two variables measured over a period of 19 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.

[ 0.27, 0.85 ] 95% correlation confidence interval (using the Fisher z-transformation)
^{Read more about the confidence interval} 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: ^Note 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.

	2004	2005	2006	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020	2021	2022
Super Bowl point difference (Points)	3	3	11	12	3	4	14	6	4	3	35	14	14	6	8	10	11	22	3
Google searches for 'teenage mutant ninja turtles' (Rel. search volume)	14.0833	9.58333	9.16667	11.1667	5	4.33333	6.25	5.33333	9.66667	16.5833	36.5833	16.6667	18.0833	8.58333	6.91667	6.08333	6.58333	5.91667	7.41667

Why this works

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.
Lack of causal connection: There is probably^Note 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.
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^Note Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
p-value calculation does not take this into account, so mathematically it appears less probable than it really is.

Try it yourself

You can calculate the values on this page on your own! Try running the Python code to see the calculation results. ^{Show the steps to do this.} 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([3,3,11,12,3,4,14,6,4,3,35,14,14,6,8,10,11,22,3,])
array_2 = np.array([14.0833,9.58333,9.16667,11.1667,5,4.33333,6.25,5.33333,9.66667,16.5833,36.5833,16.6667,18.0833,8.58333,6.91667,6.08333,6.58333,5.91667,7.41667,])
array_1_name = "Super Bowl point difference"
array_2_name = "Google searches for 'teenage mutant ninja turtles'"

# 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)

Reuseable content

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

You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

When spoken, my last name is pronounced "vegan," like I don't eat meat.

Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.

Download images for these variables:

High resolution line chart ^Note The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.

If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.

Alternatively you can use a tool like Inkscape.
High resolution line chart, optimized for mobile
Alternative high resolution line chart
Scatterplot
Portable line chart (png)
Portable line chart (png), optimized for mobile
Line chart for only Super Bowl point difference
Line chart for only Google searches for 'teenage mutant ninja turtles'
AI-generated correlation image
The spurious research paper: The Teenage Mutant Ninja Turtles and the Touchdowns: Traversing the Turf between Super Bowl Point Difference and Google Searches

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Correlation ID: 3424 · Black Variable ID: 541 · Red Variable ID: 1381


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