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Spurious correlation #2,800 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is FA Cup final goal difference and the second variable is Google searches for 'black hole photo'.  The chart goes from 2009 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As FA Cup final goal differences increased, more people were drawn to the incredible displays of skill and precision in soccer, prompting a surge in interest in science and technology. This led to a higher demand for information about black holes, ultimately driving up the searches for 'black hole photo' on Google. After all, who knew that the key to unlocking the mysteries of the universe was hidden in the nail-biting moments of a football match? It's a goal-eactic connection!

Model: dalle-3
Prompt: An image that looks like it is a scene from 'Star Wars', depicting a big stadium screen displaying the FA Cup final score of a thrilling 3-2 victory, with the winning goal making the difference in the final moments. In the background, a group of fans can be seen on their phones, eagerly searching for the first-ever black hole photo, as the cosmic curiosity sparked by the game's intense energy and excitement grips the audience. 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: FA Cup final goal difference and Google searches for 'black hole photo'. 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: Vaporwave 3D Pixar Style An image that looks like it is a scene from 'Star Wars' Cybernetic art Cyberpunk
ChatGPT: An image that looks like it is a scene from 'Star Wars'

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both FA Cup final goal difference and Google searches for 'black hole photo', in the following situation: The shift in FA Cup final goal difference caused a ripple effect, leading to heightened interest in cosmic events. Fans' gravitational pull boosted searches for "black hole photo," drawing attention to the astronomical achievement. It's as if the universe just couldn't resist the goal-scoring magnetism!. Keep the description simple.
ChatGPT: On a big stadium screen, the FA Cup final score displays a thrilling 3-2 victory, with the winning goal making the difference in the final moments. In the background, a group of fans can be seen on their phones, eagerly searching for the first-ever black hole photo, as the cosmic curiosity sparked by the game's intense energy and excitement grips the audience.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ An image that looks like it is a scene from 'Star Wars' ] and depicting this scene: On a big stadium screen, the FA Cup final score displays a thrilling 3-2 victory, with the winning goal making the difference in the final moments. In the background, a group of fans can be seen on their phones, eagerly searching for the first-ever black hole photo, as the cosmic curiosity sparked by the game's intense energy and excitement grips the audience. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: An image that looks like it is a scene from 'Star Wars', depicting a big stadium screen displaying the FA Cup final score of a thrilling 3-2 victory, with the winning goal making the difference in the final moments. In the background, a group of fans can be seen on their phones, eagerly searching for the first-ever black hole photo, as the cosmic curiosity sparked by the game's intense energy and excitement grips the audience.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how increases in FA Cup final goal difference positively influenced black hole photo (Google searches for 'black hole photo'). Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

The Journal of Cosmic Coincidences

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 FA Cup final goal difference and Google searches for 'black hole photo'. Make lots of jokes, goofy observations, and puns.

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

Your research team used data from My Foot Ball Facts and Google Trends to assess this nagging question. You found a correlation coefficient of 0.7936861 and p < 0.01 for 2009 to 2021.

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]]
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

[[ABSTRACT]]
The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.


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 FA Cup final goal difference and Google searches for 'black hole photo'. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

[[ABSTRACT]]
The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
The impact of sports on popular culture and the collective human psyche has long been a subject of fascination for researchers across various disciplines. The intersection of seemingly unrelated phenomena, such as the outcome of soccer matches and the quest for cosmic enlightenment, provides an intriguing lens through which to explore the intricacies of human behavior and societal interests. In this study, we delve into the curious domain where the thrill of the FA Cup final goal difference meets the enigmatic allure of the 'black hole photo' through the lens of Google searches. Our objective is to unearth potential correlations and shed light on the interplay between these distinct but strangely interconnected domains.

The FA Cup, often heralded as one of the most prestigious domestic soccer competitions in the world, has a rich history steeped in tradition, drama, and nail-biting moments. On the other hand, the captivating fascination with the elusive 'black hole photo' represents a deep-seated curiosity about the mysteries of the cosmos. Intriguingly, these two seemingly disparate realms intersect in the digital realm of Google searches, prompting us to embark on a journey of statistical inquiry and whimsical wonder.

It is well-established that sports outcomes can have far-reaching implications, influencing the moods and behaviors of individuals and even reverberating through societal dynamics. Similarly, the human quest for cosmic understanding has permeated popular culture, inspiring awe and curiosity. Thus, the convergence of the FA Cup final goal difference and the quest for glimpses into the depths of the universe through the medium of Google searches presents an opportunity to peel back the layers of human fascination and perhaps uncover unexpected connections that transcend conventional boundaries.

Through the rigorous analysis of data spanning the years 2009 to 2021, drawn from the venerable My Foot Ball Facts and Google Trends, we aim to elucidate the peculiar relationship between the outcome of the FA Cup finals and the frequency of searches for 'black hole photo'. Our findings promise to unveil a captivating portrayal of the interwoven threads that bind these ostensibly incongruous domains, casting a playful spotlight on the underlying dynamics at play.

As we embark on this curious expedition, armed with methods of statistical inquiry and a hint of whimsical imagination, we invite our readers to join us in unraveling the abstruse connection between the thrill of the goalpost and the cosmic allure of the event horizon. The findings of this study hold the potential to infuse a dose of pun-derstanding into the realms of sports and popular culture, illuminating the intricate tapestry of human interests and perhaps eliciting a wry smile or two along the way.


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 FA Cup final goal difference and Google searches for 'black hole photo'. Make lots of jokes, goofy observations, and puns.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

[[ABSTRACT]]
The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The impact of sports on popular culture and the collective human psyche has long been a subject of fascination for researchers across various disciplines. The intersection of seemingly unrelated phenomena, such as the outcome of soccer matches and the quest for cosmic enlightenment, provides an intriguing lens through which to explore the intricacies of human behavior and societal interests. In this study, we delve into the curious domain where the thrill of the FA Cup final goal difference meets the enigmatic allure of the 'black hole photo' through the lens of Google searches. Our objective is to unearth potential correlations and shed light on the interplay between these distinct but strangely interconnected domains.
The FA Cup, often heralded as one of the most prestigious domestic soccer competitions in the world, has a rich history steeped in tradition, drama, and nail-biting moments. On the other hand, the captivating fascination with the elusive 'black hole photo' represents a deep-seated curiosity about the mysteries of the cosmos. Intriguingly, these two seemingly disparate realms intersect in the digital realm of Google searches, prompting us to embark on a journey of statistical inquiry and whimsical wonder.
It is well-established that sports outcomes can have far-reaching implications, influencing the moods and behaviors of individuals and even reverberating through societal dynamics. Similarly, the human quest for cosmic understanding has permeated popular culture, inspiring awe and curiosity. Thus, the convergence of the FA Cup final goal difference and the quest for glimpses into the depths of the universe through the medium of Google searches presents an opportunity to peel back the layers of human fascination and perhaps uncover unexpected connections that transcend conventional boundaries.
Through the rigorous analysis of data spanning the years 2009 to 2021, drawn from the venerable My Foot Ball Facts and Google Trends, we aim to elucidate the peculiar relationship between the outcome of the FA Cup finals and the frequency of searches for 'black hole photo'. Our findings promise to unveil a captivating portrayal of the interwoven threads that bind these ostensibly incongruous domains, casting a playful spotlight on the underlying dynamics at play.
As we embark on this curious expedition, armed with methods of statistical inquiry and a hint of whimsical imagination, we invite our readers to join us in unraveling the abstruse connection between the thrill of the goalpost and the cosmic allure of the event horizon. The findings of this study hold the potential to infuse a dose of pun-derstanding into the realms of sports and popular culture, illuminating the intricate tapestry of human interests and perhaps eliciting a wry smile or two along the way.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In their seminal work, Smith et al. (2015) examined the goal difference in FA Cup finals and its psychological impact on both players and fans. Their study highlighted the emotional rollercoaster experienced by individuals invested in the outcomes of these high-stakes matches, elucidating the reverberating effects on collective mood and societal dynamics. Similarly, Doe and Jones (2018) delved into the realm of internet search behavior, exploring the intriguing patterns of quest and curiosity exhibited by online users.

The unexpected juxtaposition of the FA Cup final goal difference and Google searches for 'black hole photo' has elicited curiosity and prompted playful inquiries into the underlying interconnectedness of these seemingly disparate phenomena. As we dig deeper into this hitherto unexplored intersection, it is imperative to draw from a diverse array of sources to parse the intricacies of this peculiar correlation.

Turning our attention to literary examinations of cosmic phenomena, "Astrophysics for People in a Hurry" by Neil deGrasse Tyson and "A Brief History of Time" by Stephen Hawking offer profound insights into the enigmatic allure of black holes. These discourses provide a theoretical backdrop for contemplating the serendipitous confluence of celestial wonders and the realm of sports through the lens of Google searches.

Furthermore, works of fiction such as "The Hitchhiker's Guide to the Galaxy" by Douglas Adams and "Contact" by Carl Sagan seamlessly blend cosmic exploration with whimsical narratives, evoking a sense of wonder and pun-derstanding that resonates with the unconventional juxtaposition we endeavor to unravel in this study.

In the realm of cinematography, movies such as "Space Jam", "The Black Hole", and "The Big Lebowski" offer glimpses into the varying degrees of tangential relevance to the themes of interconnectedness and unexpected correlations, stimulating imaginative ruminations on the playful undertones that underpin the confluence of sport and cosmic intrigue.

As we embark on this scholarly voyage into the uncharted waters that lie at the confluence of empirical inquiry and whimsical wonder, the amalgamation of diverse perspectives promises to animate the pursuit of pun-derstanding and spark laughter amidst the serious pursuit of knowledge.


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 FA Cup final goal difference and Google searches for 'black hole photo'. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from My Foot Ball Facts and Google Trends . You used data from 2009 to 2021

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]]
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

[[ABSTRACT]]
The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.

[[INTRODUCTION]]
The impact of sports on popular culture and the collective human psyche has long been a subject of fascination for researchers across various disciplines. The intersection of seemingly unrelated phenomena, such as the outcome of soccer matches and the quest for cosmic enlightenment, provides an intriguing lens through which to explore the intricacies of human behavior and societal interests. In this study, we delve into the curious domain where the thrill of the FA Cup final goal difference meets the enigmatic allure of the 'black hole photo' through the lens of Google searches. Our objective is to unearth potential correlations and shed light on the interplay between these distinct but strangely interconnected domains.
The FA Cup, often heralded as one of the most prestigious domestic soccer competitions in the world, has a rich history steeped in tradition, drama, and nail-biting moments. On the other hand, the captivating fascination with the elusive 'black hole photo' represents a deep-seated curiosity about the mysteries of the cosmos. Intriguingly, these two seemingly disparate realms intersect in the digital realm of Google searches, prompting us to embark on a journey of statistical inquiry and whimsical wonder.
It is well-established that sports outcomes can have far-reaching implications, influencing the moods and behaviors of individuals and even reverberating through societal dynamics. Similarly, the human quest for cosmic understanding has permeated popular culture, inspiring awe and curiosity. Thus, the convergence of the FA Cup final goal difference and the quest for glimpses into the depths of the universe through the medium of Google searches presents an opportunity to peel back the layers of human fascination and perhaps uncover unexpected connections that transcend conventional boundaries.
Through the rigorous analysis of data spanning the years 2009 to 2021, drawn from the venerable My Foot Ball Facts and Google Trends, we aim to elucidate the peculiar relationship between the outcome of the FA Cup finals and the frequency of searches for 'black hole photo'. Our findings promise to unveil a captivating portrayal of the interwoven threads that bind these ostensibly incongruous domains, casting a playful spotlight on the underlying dynamics at play.
As we embark on this curious expedition, armed with methods of statistical inquiry and a hint of whimsical imagination, we invite our readers to join us in unraveling the abstruse connection between the thrill of the goalpost and the cosmic allure of the event horizon. The findings of this study hold the potential to infuse a dose of pun-derstanding into the realms of sports and popular culture, illuminating the intricate tapestry of human interests and perhaps eliciting a wry smile or two along the way.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the enigmatic correlation between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo', a meticulous and systematic approach was adopted. The data collection process began with the extraction of historical FA Cup final goal difference information from My Foot Ball Facts, a veritable archive of soccer statistics and anecdotes. The data, spanning from 2009 to 2021, provided a rich tapestry of goal-related outcomes, encompassing the euphoric triumphs and heart-wrenching defeats emblematic of the FA Cup.

Simultaneously, Google search trends for 'black hole photo' were meticulously logged using the unparalleled tool of Google Trends, capturing the ebb and flow of cosmic curiosity within the digital sphere. This unconventional amalgamation of sports analytics and cosmic fascination set the stage for a whimsically unconventional methodology, reflecting the quixotic nature of the research endeavor.

Following the collation of data, statistical analyses were conducted with an equal measure of precision and mirth. The goal difference data from FA Cup finals was harmonized with the Google search trend patterns, leading to the emergence of a beguiling correlation coefficient and statistical significance that startled even the most astute of observers.

The statistical tool of Pearson's correlation coefficient was employed to quantify the strength and direction of the linear relationship between the FA Cup final goal difference and the frequency of 'black hole photo' searches. This established measure of association unveiled a surprising bond, captivating the scientific community with its unexpected fusion of sports and cosmic queries.

Furthermore, multiple regression analysis was judiciously utilized to determine the combined predictive power of various FA Cup final goal difference metrics on the Google search activity for 'black hole photo'. The intricate interplay of these diverse parameters laid bare the complexity of human interest, interweaving the thrill of sports triumph with the grandeur of celestial curiosity in an intricately choreographed statistical ballet.

In a departure from conventional methodology, a hint of whimsical imagination was imbued into the statistical modeling process, injecting a dash of playful curiosity into the otherwise austere realm of empirical inquiry. This methodological quirk served as a playful nod to the serendipitous union of seemingly disparate domains, inviting the scholarly community to revel in the mirthful interplay of statistical analysis and cosmic contemplation.

In summation, the methodology employed in this study personified a peculiar amalgamation of statistical rigor and playful imagination, reflecting the intrinsic duality of the research objectives. Through the unconventional pairing of FA Cup final goal difference data and Google search trends for 'black hole photo', this research sought to unveil the latent interconnections that underscore the human fascination with both sporting triumphs and cosmic enigmas, all while eliciting a wry smile from the discerning reader.


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 FA Cup final goal difference and Google searches for 'black hole photo'. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from My Foot Ball Facts and Google Trends .

For the time period 2009 to 2021, you found a correlation 0.7936861, r-squared of 0.6299376, 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]]
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

[[ABSTRACT]]
The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The impact of sports on popular culture and the collective human psyche has long been a subject of fascination for researchers across various disciplines. The intersection of seemingly unrelated phenomena, such as the outcome of soccer matches and the quest for cosmic enlightenment, provides an intriguing lens through which to explore the intricacies of human behavior and societal interests. In this study, we delve into the curious domain where the thrill of the FA Cup final goal difference meets the enigmatic allure of the 'black hole photo' through the lens of Google searches. Our objective is to unearth potential correlations and shed light on the interplay between these distinct but strangely interconnected domains.
The FA Cup, often heralded as one of the most prestigious domestic soccer competitions in the world, has a rich history steeped in tradition, drama, and nail-biting moments. On the other hand, the captivating fascination with the elusive 'black hole photo' represents a deep-seated curiosity about the mysteries of the cosmos. Intriguingly, these two seemingly disparate realms intersect in the digital realm of Google searches, prompting us to embark on a journey of statistical inquiry and whimsical wonder.
It is well-established that sports outcomes can have far-reaching implications, influencing the moods and behaviors of individuals and even reverberating through societal dynamics. Similarly, the human quest for cosmic understanding has permeated popular culture, inspiring awe and curiosity. Thus, the convergence of the FA Cup final goal difference and the quest for glimpses into the depths of the universe through the medium of Google searches presents an opportunity to peel back the layers of human fascination and perhaps uncover unexpected connections that transcend conventional boundaries.
Through the rigorous analysis of data spanning the years 2009 to 2021, drawn from the venerable My Foot Ball Facts and Google Trends, we aim to elucidate the peculiar relationship between the outcome of the FA Cup finals and the frequency of searches for 'black hole photo'. Our findings promise to unveil a captivating portrayal of the interwoven threads that bind these ostensibly incongruous domains, casting a playful spotlight on the underlying dynamics at play.
As we embark on this curious expedition, armed with methods of statistical inquiry and a hint of whimsical imagination, we invite our readers to join us in unraveling the abstruse connection between the thrill of the goalpost and the cosmic allure of the event horizon. The findings of this study hold the potential to infuse a dose of pun-derstanding into the realms of sports and popular culture, illuminating the intricate tapestry of human interests and perhaps eliciting a wry smile or two along the way.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The data analysis revealed a notable correlation coefficient of 0.7936861 between the FA Cup final goal difference and the frequency of Google searches for 'black hole photo' over the period of 2009 to 2021. This correlation was found to be statistically significant with a p-value less than 0.01, underscoring the robustness of the relationship. The coefficient of determination (r-squared) further indicated that approximately 63% of the variability in the frequency of Google searches for 'black hole photo' could be explained by the variation in FA Cup final goal differences.

Fig. 1 showcases the scatterplot depicting the strong positive correlation between the two variables, visually affirming the connection our statistical analysis has brought to light. As the FA Cup final goal difference increased, there was a discernible uptick in the volume of Google searches for 'black hole photo'. Conversely, as the goal difference decreased, the frequency of searches for 'black hole photo' exhibited a corresponding decline.

These compelling findings suggest that there exists an intriguing rapport between the outcomes of the FA Cup finals and the public’s interest in cosmic imagery. The whimsical juxtaposition of sports drama and cosmic curiosity gives rise to a revelation that is as unexpected as it is entertaining. Such unlikely correlations, while initially baffling, afford us the opportunity to indulge in a bit of scholarly amusement and mirth.

The robustness of the discovered relationship prompts further inquiry into the mechanisms underlying this connection. While the precise causative factors remain elusive, our results invite speculation and invite lighthearted contemplation. The fusion of sports excitement and cosmic contemplation appears to resonate within the collective subconscious, sparking curiosity that transcends the boundaries of conventional domains.

The discovery of this connection underscores the tantalizing interplay between sports fervor and the human fascination with the cosmos. It presents a playful conundrum that beckons researchers and enthusiasts alike to ponder the delightful mysteries that unfold at the intersection of the goal post and the event horizon.


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 FA Cup final goal difference and Google searches for 'black hole photo'. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

[[ABSTRACT]]
The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.

[[LITERATURE REVIEW]]
In their seminal work, Smith et al. (2015) examined the goal difference in FA Cup finals and its psychological impact on both players and fans. Their study highlighted the emotional rollercoaster experienced by individuals invested in the outcomes of these high-stakes matches, elucidating the reverberating effects on collective mood and societal dynamics. Similarly, Doe and Jones (2018) delved into the realm of internet search behavior, exploring the intriguing patterns of quest and curiosity exhibited by online users.
The unexpected juxtaposition of the FA Cup final goal difference and Google searches for 'black hole photo' has elicited curiosity and prompted playful inquiries into the underlying interconnectedness of these seemingly disparate phenomena. As we dig deeper into this hitherto unexplored intersection, it is imperative to draw from a diverse array of sources to parse the intricacies of this peculiar correlation.
Turning our attention to literary examinations of cosmic phenomena, "Astrophysics for People in a Hurry" by Neil deGrasse Tyson and "A Brief History of Time" by Stephen Hawking offer profound insights into the enigmatic allure of black holes. These discourses provide a theoretical backdrop for contemplating the serendipitous confluence of celestial wonders and the realm of sports through the lens of Google searches.
Furthermore, works of fiction such as "The Hitchhiker's Guide to the Galaxy" by Douglas Adams and "Contact" by Carl Sagan seamlessly blend cosmic exploration with whimsical narratives, evoking a sense of wonder and pun-derstanding that resonates with the unconventional juxtaposition we endeavor to unravel in this study.
In the realm of cinematography, movies such as "Space Jam", "The Black Hole", and "The Big Lebowski" offer glimpses into the varying degrees of tangential relevance to the themes of interconnectedness and unexpected correlations, stimulating imaginative ruminations on the playful undertones that underpin the confluence of sport and cosmic intrigue.
As we embark on this scholarly voyage into the uncharted waters that lie at the confluence of empirical inquiry and whimsical wonder, the amalgamation of diverse perspectives promises to animate the pursuit of pun-derstanding and spark laughter amidst the serious pursuit of knowledge.

[[RESULTS]]
The data analysis revealed a notable correlation coefficient of 0.7936861 between the FA Cup final goal difference and the frequency of Google searches for 'black hole photo' over the period of 2009 to 2021. This correlation was found to be statistically significant with a p-value less than 0.01, underscoring the robustness of the relationship. The coefficient of determination (r-squared) further indicated that approximately 63% of the variability in the frequency of Google searches for 'black hole photo' could be explained by the variation in FA Cup final goal differences.
Fig. 1 showcases the scatterplot depicting the strong positive correlation between the two variables, visually affirming the connection our statistical analysis has brought to light. As the FA Cup final goal difference increased, there was a discernible uptick in the volume of Google searches for 'black hole photo'. Conversely, as the goal difference decreased, the frequency of searches for 'black hole photo' exhibited a corresponding decline.
These compelling findings suggest that there exists an intriguing rapport between the outcomes of the FA Cup finals and the public’s interest in cosmic imagery. The whimsical juxtaposition of sports drama and cosmic curiosity gives rise to a revelation that is as unexpected as it is entertaining. Such unlikely correlations, while initially baffling, afford us the opportunity to indulge in a bit of scholarly amusement and mirth.
The robustness of the discovered relationship prompts further inquiry into the mechanisms underlying this connection. While the precise causative factors remain elusive, our results invite speculation and invite lighthearted contemplation. The fusion of sports excitement and cosmic contemplation appears to resonate within the collective subconscious, sparking curiosity that transcends the boundaries of conventional domains.
The discovery of this connection underscores the tantalizing interplay between sports fervor and the human fascination with the cosmos. It presents a playful conundrum that beckons researchers and enthusiasts alike to ponder the delightful mysteries that unfold at the intersection of the goal post and the event horizon.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study have brought to light a thought-provoking relationship between the seemingly incongruous worlds of sports and astrophysics. The unexpected correlation coefficient of 0.7936861 between the FA Cup final goal difference and the frequency of Google searches for 'black hole photo' underscores the relevance of both the emotional rollercoaster experienced by sports enthusiasts and the cosmic curiosity that captivates the human imagination.

The literature review pointed to the psychological impact of high-stakes matches and the intriguing patterns of internet search behavior, providing a theoretical backdrop to parse the intricacies of this peculiar correlation. The lighthearted inquiries into the connection between sports and cosmic phenomena, echoed in works of fiction and cinematography, serve as a playful reminder that scholarly pursuits can harbor elements of amusement and whimsy.

Our findings support the prior research by Smith et al. (2015) and Doe and Jones (2018), reaffirming the reverberating effects of high-stakes matches and the patterns of curiosity exhibited by online users. The robust correlation we uncovered complements these prior studies by exposing a colorful thread that weaves together the emotional fervor of sports with the cosmic wonderment that drives internet searches. This unexpected connection aligns with the spirit of pun-derstanding and scholarly amusement, revealing a tantalizing interplay between the thrill of competition and the human fascination with the unknown.

The confluence of these two seemingly disparate phenomena invites playful contemplation and encourages scholars to embrace the unforeseen connections that defy conventional boundaries. This study paves the way for further investigation into the whimsical rapport between sports drama and cosmic curiosity, nurturing a scholarly atmosphere that embraces the delightful mysteries that unfold at the intersection of the goal post and the event horizon.


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 FA Cup final goal difference and Google searches for 'black hole photo'. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'

[[ABSTRACT]]
The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.

[[INTRDUCTION]]
The impact of sports on popular culture and the collective human psyche has long been a subject of fascination for researchers across various disciplines. The intersection of seemingly unrelated phenomena, such as the outcome of soccer matches and the quest for cosmic enlightenment, provides an intriguing lens through which to explore the intricacies of human behavior and societal interests. In this study, we delve into the curious domain where the thrill of the FA Cup final goal difference meets the enigmatic allure of the 'black hole photo' through the lens of Google searches. Our objective is to unearth potential correlations and shed light on the interplay between these distinct but strangely interconnected domains.
The FA Cup, often heralded as one of the most prestigious domestic soccer competitions in the world, has a rich history steeped in tradition, drama, and nail-biting moments. On the other hand, the captivating fascination with the elusive 'black hole photo' represents a deep-seated curiosity about the mysteries of the cosmos. Intriguingly, these two seemingly disparate realms intersect in the digital realm of Google searches, prompting us to embark on a journey of statistical inquiry and whimsical wonder.
It is well-established that sports outcomes can have far-reaching implications, influencing the moods and behaviors of individuals and even reverberating through societal dynamics. Similarly, the human quest for cosmic understanding has permeated popular culture, inspiring awe and curiosity. Thus, the convergence of the FA Cup final goal difference and the quest for glimpses into the depths of the universe through the medium of Google searches presents an opportunity to peel back the layers of human fascination and perhaps uncover unexpected connections that transcend conventional boundaries.
Through the rigorous analysis of data spanning the years 2009 to 2021, drawn from the venerable My Foot Ball Facts and Google Trends, we aim to elucidate the peculiar relationship between the outcome of the FA Cup finals and the frequency of searches for 'black hole photo'. Our findings promise to unveil a captivating portrayal of the interwoven threads that bind these ostensibly incongruous domains, casting a playful spotlight on the underlying dynamics at play.
As we embark on this curious expedition, armed with methods of statistical inquiry and a hint of whimsical imagination, we invite our readers to join us in unraveling the abstruse connection between the thrill of the goalpost and the cosmic allure of the event horizon. The findings of this study hold the potential to infuse a dose of pun-derstanding into the realms of sports and popular culture, illuminating the intricate tapestry of human interests and perhaps eliciting a wry smile or two along the way.

[[RESULTS]]
The data analysis revealed a notable correlation coefficient of 0.7936861 between the FA Cup final goal difference and the frequency of Google searches for 'black hole photo' over the period of 2009 to 2021. This correlation was found to be statistically significant with a p-value less than 0.01, underscoring the robustness of the relationship. The coefficient of determination (r-squared) further indicated that approximately 63% of the variability in the frequency of Google searches for 'black hole photo' could be explained by the variation in FA Cup final goal differences.
Fig. 1 showcases the scatterplot depicting the strong positive correlation between the two variables, visually affirming the connection our statistical analysis has brought to light. As the FA Cup final goal difference increased, there was a discernible uptick in the volume of Google searches for 'black hole photo'. Conversely, as the goal difference decreased, the frequency of searches for 'black hole photo' exhibited a corresponding decline.
These compelling findings suggest that there exists an intriguing rapport between the outcomes of the FA Cup finals and the public’s interest in cosmic imagery. The whimsical juxtaposition of sports drama and cosmic curiosity gives rise to a revelation that is as unexpected as it is entertaining. Such unlikely correlations, while initially baffling, afford us the opportunity to indulge in a bit of scholarly amusement and mirth.
The robustness of the discovered relationship prompts further inquiry into the mechanisms underlying this connection. While the precise causative factors remain elusive, our results invite speculation and invite lighthearted contemplation. The fusion of sports excitement and cosmic contemplation appears to resonate within the collective subconscious, sparking curiosity that transcends the boundaries of conventional domains.
The discovery of this connection underscores the tantalizing interplay between sports fervor and the human fascination with the cosmos. It presents a playful conundrum that beckons researchers and enthusiasts alike to ponder the delightful mysteries that unfold at the intersection of the goal post and the event horizon.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the findings of our study highlight an unexpectedly robust connection between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. The striking correlation coefficient of 0.7936861, coupled with a statistically significant p-value less than 0.01, underscores the intriguing relationship between these seemingly disparate phenomena.

The whimsical juxtaposition of sports drama and cosmic curiosity offers a delightful peek into the quirky intersections of human interests. Much like the unpredictable twists and turns of a soccer match, the correlation between the thrill of the goalpost and the cosmic allure of the event horizon adds an element of whimsy to our scholarly pursuits.

While the precise underlying mechanisms remain shrouded in mystery, our findings invite playful speculation and lighthearted pondering. Could it be that the intensity of a FA Cup final prompts contemplation of the cosmic vastness, or that the allure of black holes evokes a sense of sporting rivalry? The interplay of these domains leaves ample room for scholarly amusement and perhaps a wry smile or two.

This unexpected connection beckons researchers and enthusiasts alike to ponder the playful mysteries that unfold at the curious intersection of sports excitement and cosmic contemplation. However, it is worth noting that this study has its limitations and cannot establish causation. Therefore, no more research is needed in this area.


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 Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Cosmic Coincidences


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 Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo'. Respond only with the name of a fictional organization.

ChatGPT:

The Quantum Sports Analytics Institute


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Kicking Off the Event Horizon: Exploring the Goalpost Connection Between FA Cup Final Goal Difference and Google Searches for 'Black Hole Photo' with an abstract of The goal of this study was to investigate the potential relationship between the goal difference in FA Cup finals and the frequency of Google searches for 'black hole photo'. Utilizing data from My Foot Ball Facts and Google Trends, we analyzed the periods from 2009 to 2021. Through rigorous statistical analysis, we discovered a striking correlation coefficient of 0.7936861 and p < 0.01, revealing a notable link between these seemingly unrelated phenomena. This unexpected connection could open up new avenues for pun-derstanding the cosmic forces at play in the world of sports and popular culture.

ChatGPT:

FA Cup final, goal difference, Google searches, black hole photo, correlation coefficient, statistical analysis, My Foot Ball Facts, Google Trends, cosmic forces, popular culture

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



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Data details

FA Cup final goal difference
Source: My Foot Ball Facts
See what else correlates with FA Cup final goal difference

Google searches for 'black hole photo'
Detailed data title: Relative volume of Google searches for 'black hole photo' (Worldwide, without quotes)
Source: Google Trends
Additional Info: Relative search volume (not absolute numbers)

See what else correlates with Google searches for 'black hole photo'

Correlation r = 0.7936861 (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 = 0.6299376 (Coefficient of determination)
This means 63% of the change in the one variable (i.e., Google searches for 'black hole photo') is predictable based on the change in the other (i.e., FA Cup final goal difference) over the 13 years from 2009 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.0012. 0.0012001428759848786000000000
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 0.79 in 0.12% of random cases. Said differently, if you correlated 833 random variables Which I absolutely did.
with the same 12 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 12 because we have two variables measured over a period of 13 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.

[ 0.43, 0.94 ] 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.
2009201020112012201320142015201620172018201920202021
FA Cup final goal difference (Goal difference)1111134221621
Google searches for 'black hole photo' (Rel. search volume)0.50.751111111.125110.751.583331.33333




Why this works

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




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([1,1,1,1,1,3,4,2,2,1,6,2,1,])
array_2 = np.array([0.5,0.75,1,1,1,1,1,1,1.125,1,10.75,1.58333,1.33333,])
array_1_name = "FA Cup final goal difference"
array_2_name = "Google searches for 'black hole photo'"

# 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 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. 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.

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Correlation ID: 2800 · Black Variable ID: 100 · Red Variable ID: 1425
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