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Spurious correlation #4,506 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is How trendy 3Blue1Brown YouTube video titles are and the second variable is Google searches for 'flights to Antarctica'.  The chart goes from 2015 to 2023, and the two variables track closely in value over that time. Small Image
Download png
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AI explanation

As more people became intrigued by the latest math and science trends, there was a sudden surge in interest in all things 'cool' – including the frigid temperatures of Antarctica. It’s as if the allure of 3Blue1Brown's trendy content somehow led viewers to aspire to be as chill as the southernmost continent, prompting a snowball effect in the travel industry. After all, who wouldn't want to venture to a place that's basically the polar opposite of mainstream tourist destinations?

Model: dalle-3
Prompt: Generate a scene where a digital screen displays a series of 3Blue1Brown video titles, each representing a captivating math or science topic, superimposed with a futuristic data visualization. Behind the screen, create a graphical representation of a sudden spike in Google searches for 'flights to Antarctica,' indicating a surge of interest in visiting the icy continent. The entire scene should exude a modern, cyber art theme, with sleek lines and dynamic lighting to convey the convergence of technology, education, and exploration. 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: How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: a meme Magic realism a Polaroid photo Data cyber art Scalar art
ChatGPT: Data cyber art

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 How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica', in the following situation: As more people became intrigued by the latest math and science trends, there was a sudden surge in interest in all things 'cool' – including the frigid temperatures of Antarctica. It’s as if the allure of 3Blue1Brown's trendy content somehow led viewers to aspire to be as chill as the southernmost continent, prompting a snowball effect in the travel industry. After all, who wouldn't want to venture to a place that's basically the polar opposite of mainstream tourist destinations?. Keep the description simple.
ChatGPT: A flurry of 3Blue1Brown video titles, filled with captivating math and science topics, are shown trending on YouTube. In the background, a spike in Google searches for 'flights to Antarctica' is displayed, indicating a sudden surge in interest in visiting the icy continent.

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: [ Data cyber art ] and depicting this scene: A flurry of 3Blue1Brown video titles, filled with captivating math and science topics, are shown trending on YouTube. In the background, a spike in Google searches for 'flights to Antarctica' is displayed, indicating a sudden surge in interest in visiting the icy continent. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate a scene where a digital screen displays a series of 3Blue1Brown video titles, each representing a captivating math or science topic, superimposed with a futuristic data visualization. Behind the screen, create a graphical representation of a sudden spike in Google searches for 'flights to Antarctica,' indicating a surge of interest in visiting the icy continent. The entire scene should exude a modern, cyber art theme, with sleek lines and dynamic lighting to convey the convergence of technology, education, and exploration.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in How trendy 3Blue1Brown YouTube video titles are caused flights to Antarctica (Google searches for 'flights to Antarctica') to increase.

AI academic paper

(Because p < 0.01)
Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight

The Journal of Experimental Mathematical Humor

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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Rhyme words in the title.

Your research team used data from AI analysis of YouTube video titles and Google Trends to assess this nagging question. You found a correlation coefficient of 0.8857933 and p < 0.01 for 2015 to 2023.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
"Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight"

[[ABSTRACT]]
The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.

It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.

As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
"Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight"

[[ABSTRACT]]
The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.

It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.

As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the great Isaac Newton once said, "What goes up must come down, unless it's a YouTube video title trend and 'flights to Antarctica' search interest, then we're in for a rollercoaster ride of correlation and fascination." Our research aims to explore the intriguing relationship between the trendiness of 3Blue1Brown YouTube video titles and the Google searches for 'flights to Antarctica,' or as we like to call it, "The Antarctic Antics."

Like a group of penguins waddling through the ever-changing landscape of YouTube trends, we embarked on this research expedition with a mix of curiosity and a dash of delirium. So, grab your snow boots and calculators, as we journey into the statistical wonderland of YouTube engagement and travel aspirations.

It's no secret that correlation does not imply causation, but in this case, we're striving to glean insights that are as clear as ice. Our initial hypothesis was as bold as a polar bear on ice – could the captivating allure of 3Blue1Brown's trendy video titles be linked to a surge in people daydreaming about exploring the icy wonders of Antarctica?

Amidst the myriad of mathematical models and statistical analyses, it's crucial to infuse a bit of humor and humility. After all, there's no need to reinvent the wheel, unless, of course, you're a math enthusiast who's reimagining the geometry of snowflakes.

Our journey through the realm of data analysis and curiosity has been nothing short of a whirlwind adventure. We've uncovered quirky trends and curious connections, all while keeping our spirits high and our pun game strong. So, buckle up, fellow researchers, as we take flight into the whimsical world of YouTube trends and Antarctic aspirations.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
"Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight"

[[ABSTRACT]]
The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.

It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.

As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the great Isaac Newton once said, "What goes up must come down, unless it's a YouTube video title trend and 'flights to Antarctica' search interest, then we're in for a rollercoaster ride of correlation and fascination." Our research aims to explore the intriguing relationship between the trendiness of 3Blue1Brown YouTube video titles and the Google searches for 'flights to Antarctica,' or as we like to call it, "The Antarctic Antics."
Like a group of penguins waddling through the ever-changing landscape of YouTube trends, we embarked on this research expedition with a mix of curiosity and a dash of delirium. So, grab your snow boots and calculators, as we journey into the statistical wonderland of YouTube engagement and travel aspirations.
It's no secret that correlation does not imply causation, but in this case, we're striving to glean insights that are as clear as ice. Our initial hypothesis was as bold as a polar bear on ice – could the captivating allure of 3Blue1Brown's trendy video titles be linked to a surge in people daydreaming about exploring the icy wonders of Antarctica?
Amidst the myriad of mathematical models and statistical analyses, it's crucial to infuse a bit of humor and humility. After all, there's no need to reinvent the wheel, unless, of course, you're a math enthusiast who's reimagining the geometry of snowflakes.
Our journey through the realm of data analysis and curiosity has been nothing short of a whirlwind adventure. We've uncovered quirky trends and curious connections, all while keeping our spirits high and our pun game strong. So, buckle up, fellow researchers, as we take flight into the whimsical world of YouTube trends and Antarctic aspirations.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The study of the relationship between online content engagement and travel aspirations has been an area of growing interest among researchers in recent years. Smith et al. (2018) conducted a study examining the impact of YouTube video trends on travel search behaviors and found significant correlations between video engagement and travel-related queries. However, their focus was on general travel destinations, and little attention was given to the specific appeal of Antarctic adventures.

Doe and Jones (2020) delved into the realm of Google search patterns and identified a surge in interest in remote travel destinations following the popularization of niche online content. While their study did not explicitly explore the correlation with YouTube video trends, it laid a foundation for understanding the potential influence of online content on travel aspirations.

Speaking of niche content, "The Mathematical Beauty of 3Blue1Brown" by Mathematics Enthusiast provides a comprehensive analysis of the engaging nature of 3Blue1Brown's educational content. The book offers insights into the unique appeal of the channel's videos and their potential to captivate a wide audience, including those with a penchant for mathematical eleganza.

On the fictional front, "Journey to the Ice Kingdom" by Antarctic Explorer Fiction may seem like a whimsical tale of adventure, but its themes of exploration and discovery bear a curious resemblance to the allure of Antarctic travel that we're investigating. Likewise, "The Frozen Equation" by Math and Mystery Novels may be a work of fiction, but its depiction of a mysterious mathematical phenomenon shares a surprising parallel with the enigmatic correlation we seek to unravel.

In the world of internet memes, the viral penguin meme has gained traction as a symbol of waddling determination and unquenchable curiosity, mirroring the spirit of our research endeavor. Meanwhile, the "Distracted Globe-Trotter" meme captures the relatable experience of getting lost in online content and suddenly finding oneself deep in travel daydreams – a sentiment that resonates with our investigation into the influence of trendy math videos on aspirational travel searches.

What do you call a penguin in the desert? Lost. Speaking of being lost, our exploration of the connection between 3Blue1Brown video titles and flights to Antarctica has been a delightful journey filled with unexpected twists and turns. As we navigate the landscape of academic literature and whimsical references, we aim to shed light on the captivating interplay between online content trends and travel aspirations.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from AI analysis of YouTube video titles and Google Trends . You used data from 2015 to 2023

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
"Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight"

[[ABSTRACT]]
The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.

It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.

As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.

[[INTRODUCTION]]
As the great Isaac Newton once said, "What goes up must come down, unless it's a YouTube video title trend and 'flights to Antarctica' search interest, then we're in for a rollercoaster ride of correlation and fascination." Our research aims to explore the intriguing relationship between the trendiness of 3Blue1Brown YouTube video titles and the Google searches for 'flights to Antarctica,' or as we like to call it, "The Antarctic Antics."
Like a group of penguins waddling through the ever-changing landscape of YouTube trends, we embarked on this research expedition with a mix of curiosity and a dash of delirium. So, grab your snow boots and calculators, as we journey into the statistical wonderland of YouTube engagement and travel aspirations.
It's no secret that correlation does not imply causation, but in this case, we're striving to glean insights that are as clear as ice. Our initial hypothesis was as bold as a polar bear on ice – could the captivating allure of 3Blue1Brown's trendy video titles be linked to a surge in people daydreaming about exploring the icy wonders of Antarctica?
Amidst the myriad of mathematical models and statistical analyses, it's crucial to infuse a bit of humor and humility. After all, there's no need to reinvent the wheel, unless, of course, you're a math enthusiast who's reimagining the geometry of snowflakes.
Our journey through the realm of data analysis and curiosity has been nothing short of a whirlwind adventure. We've uncovered quirky trends and curious connections, all while keeping our spirits high and our pun game strong. So, buckle up, fellow researchers, as we take flight into the whimsical world of YouTube trends and Antarctic aspirations.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Gather 'round, fellow researchers, as we unveil the methodological maneuvers that propelled us into the enigmatic realm of YouTube trends and Antarctic daydreams. Our approach resembled a carefully choreographed dance between AI analysis, statistical scrutiny, and a pinch of cheeky humor – after all, what's science without a sprinkle of wit?

To capture the pulse of 3Blue1Brown's YouTube video titles, we deployed sophisticated AI algorithms capable of decoding the wit and whimsy hidden within each pixelated character. As we crafted this digital sensory experience, it felt akin to sleuthing through a treasure trove of mathematical marvels, with each video title unveiling its own captivating narrative. It was a bit like excavating for buried treasure, except the loot consisted of captivating data points and the occasional pun-worthy title.

Next, we ventured into the labyrinth of Google Trends, where we tracked the search interest for 'flights to Antarctica' across the digital expanse. Armed with spreadsheets and a plethora of penguin-themed memes, we navigated the digital tundra with unmatched zeal, uncovering patterns that were as intriguing as a mathematical puzzle and as surprising as a sudden snowstorm in the Sahara.

With the winds of data at our backs, we meticulously curated a dataset spanning the years from 2015 to 2023, carving out a timeframe that not only encapsulated the evolution of YouTube trends but also mirrored the ebb and flow of Antarctic aspirations. It was a bit like crafting a symphony of numbers and narratives, weaving together the melodies of math and the harmonies of human curiosity.

Embracing the statistical saga that unfolded, we summoned the principles of correlation analysis and regression modeling to tease apart the threads of connection between 3Blue1Brown's titillating titles and the search fervor for Antarctic escapades. Our statistical toolkit became a beacon of insight, illuminating the path towards uncovering the crux of our cosmic correlation – or, in this case, our 'cosine' correlation.

In a whimsical twist of fate, our findings unraveled a correlation coefficient of 0.8857933, standing tall and resolute like a mathematical monolith amidst an expanse of data. This correlation was as sturdy as an igloo in a blizzard, leaving us with a chuckle and a newfound appreciation for the unexpected connections that permeate the vast mathematical landscape.

But wait, there's more! Our journey through the statistical wilderness revealed a p-value of less than 0.01, signaling a statistical significance that could rival the discovery of a hidden mathematical gem. It's the kind of revelation that makes the heart of a stats enthusiast flutter with delight and prompts a mirthful jig of triumph.

So, there you have it – our methodology, a blend of AI prowess, statistical prowess, and just a sprinkle of quirky charm. Like navigating a vast sheet of ice, our research methods were both deliberate and daring, offering a glimpse into the wondrous dance of correlation and causation. Join us, as we prepare to unravel the mysteries that lie beyond the bounds of conventional science – it's a journey teeming with mathematical intrigue, whimsical wonder, and maybe a few more Antarctic-themed puns along the way.


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

Please make up the results section of an academic research paper presenting the findings of the connection between How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from AI analysis of YouTube video titles and Google Trends .

For the time period 2015 to 2023, you found a correlation 0.8857933, r-squared of 0.7846298, 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]]
"Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight"

[[ABSTRACT]]
The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.

It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.

As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the great Isaac Newton once said, "What goes up must come down, unless it's a YouTube video title trend and 'flights to Antarctica' search interest, then we're in for a rollercoaster ride of correlation and fascination." Our research aims to explore the intriguing relationship between the trendiness of 3Blue1Brown YouTube video titles and the Google searches for 'flights to Antarctica,' or as we like to call it, "The Antarctic Antics."
Like a group of penguins waddling through the ever-changing landscape of YouTube trends, we embarked on this research expedition with a mix of curiosity and a dash of delirium. So, grab your snow boots and calculators, as we journey into the statistical wonderland of YouTube engagement and travel aspirations.
It's no secret that correlation does not imply causation, but in this case, we're striving to glean insights that are as clear as ice. Our initial hypothesis was as bold as a polar bear on ice – could the captivating allure of 3Blue1Brown's trendy video titles be linked to a surge in people daydreaming about exploring the icy wonders of Antarctica?
Amidst the myriad of mathematical models and statistical analyses, it's crucial to infuse a bit of humor and humility. After all, there's no need to reinvent the wheel, unless, of course, you're a math enthusiast who's reimagining the geometry of snowflakes.
Our journey through the realm of data analysis and curiosity has been nothing short of a whirlwind adventure. We've uncovered quirky trends and curious connections, all while keeping our spirits high and our pun game strong. So, buckle up, fellow researchers, as we take flight into the whimsical world of YouTube trends and Antarctic aspirations.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our investigation unveiled a striking correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google. We found a correlation coefficient of 0.8857933, indicating a remarkably strong positive relationship between these two variables. This correlation is as clear as polar ice on a crisp winter's day, firmly establishing the influence of captivating math videos on aspirational travel dreams.

In addition to the robust correlation coefficient, our analysis revealed an r-squared value of 0.7846298. This indicates that approximately 78.46% of the variability in the search interest for 'flights to Antarctica' can be explained by the trendiness of 3Blue1Brown video titles. In other words, the trendiness of math videos accounts for a significant portion of the fascination with Antarctic travel aspirations.

The p-value of less than 0.01 further bolsters our findings, unequivocally demonstrating that the observed correlation is highly unlikely to have occurred by chance alone. With such a minuscule p-value, we are confident that the connection we've uncovered is no mere statistical fluke. It seems that when it comes to the allure of Antarctic adventures, the influence of engaging math content is no joke!

Our confidence in these results is further bolstered by the visual representation of this compelling relationship in Fig. 1. The scatterplot depicts a clear and unmistakable pattern, with the trendiness of 3Blue1Brown video titles increasing in tandem with the search interest in 'flights to Antarctica.' The relationship is so pronounced that it's colder than the Antarctic ice itself, leaving no doubt about the impact of trendy math videos on travel aspirations.

The robustness of this correlation has left us pondering a new mystery - do penguins dream of computing flight paths while they waddle through the icy terrain? We may not have all the answers just yet, but what we've uncovered so far is nothing short of "ear-resistibly" intriguing.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
"Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight"

[[ABSTRACT]]
The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.

It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.

As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.

[[LITERATURE REVIEW]]
The study of the relationship between online content engagement and travel aspirations has been an area of growing interest among researchers in recent years. Smith et al. (2018) conducted a study examining the impact of YouTube video trends on travel search behaviors and found significant correlations between video engagement and travel-related queries. However, their focus was on general travel destinations, and little attention was given to the specific appeal of Antarctic adventures.
Doe and Jones (2020) delved into the realm of Google search patterns and identified a surge in interest in remote travel destinations following the popularization of niche online content. While their study did not explicitly explore the correlation with YouTube video trends, it laid a foundation for understanding the potential influence of online content on travel aspirations.
Speaking of niche content, "The Mathematical Beauty of 3Blue1Brown" by Mathematics Enthusiast provides a comprehensive analysis of the engaging nature of 3Blue1Brown's educational content. The book offers insights into the unique appeal of the channel's videos and their potential to captivate a wide audience, including those with a penchant for mathematical eleganza.
On the fictional front, "Journey to the Ice Kingdom" by Antarctic Explorer Fiction may seem like a whimsical tale of adventure, but its themes of exploration and discovery bear a curious resemblance to the allure of Antarctic travel that we're investigating. Likewise, "The Frozen Equation" by Math and Mystery Novels may be a work of fiction, but its depiction of a mysterious mathematical phenomenon shares a surprising parallel with the enigmatic correlation we seek to unravel.
In the world of internet memes, the viral penguin meme has gained traction as a symbol of waddling determination and unquenchable curiosity, mirroring the spirit of our research endeavor. Meanwhile, the "Distracted Globe-Trotter" meme captures the relatable experience of getting lost in online content and suddenly finding oneself deep in travel daydreams – a sentiment that resonates with our investigation into the influence of trendy math videos on aspirational travel searches.
What do you call a penguin in the desert? Lost. Speaking of being lost, our exploration of the connection between 3Blue1Brown video titles and flights to Antarctica has been a delightful journey filled with unexpected twists and turns. As we navigate the landscape of academic literature and whimsical references, we aim to shed light on the captivating interplay between online content trends and travel aspirations.

[[RESULTS]]
The results of our investigation unveiled a striking correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google. We found a correlation coefficient of 0.8857933, indicating a remarkably strong positive relationship between these two variables. This correlation is as clear as polar ice on a crisp winter's day, firmly establishing the influence of captivating math videos on aspirational travel dreams.
In addition to the robust correlation coefficient, our analysis revealed an r-squared value of 0.7846298. This indicates that approximately 78.46% of the variability in the search interest for 'flights to Antarctica' can be explained by the trendiness of 3Blue1Brown video titles. In other words, the trendiness of math videos accounts for a significant portion of the fascination with Antarctic travel aspirations.
The p-value of less than 0.01 further bolsters our findings, unequivocally demonstrating that the observed correlation is highly unlikely to have occurred by chance alone. With such a minuscule p-value, we are confident that the connection we've uncovered is no mere statistical fluke. It seems that when it comes to the allure of Antarctic adventures, the influence of engaging math content is no joke!
Our confidence in these results is further bolstered by the visual representation of this compelling relationship in Fig. 1. The scatterplot depicts a clear and unmistakable pattern, with the trendiness of 3Blue1Brown video titles increasing in tandem with the search interest in 'flights to Antarctica.' The relationship is so pronounced that it's colder than the Antarctic ice itself, leaving no doubt about the impact of trendy math videos on travel aspirations.
The robustness of this correlation has left us pondering a new mystery - do penguins dream of computing flight paths while they waddle through the icy terrain? We may not have all the answers just yet, but what we've uncovered so far is nothing short of "ear-resistibly" intriguing.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our findings not only confirm the influence of trendy 3Blue1Brown YouTube video titles on the search interest in 'flights to Antarctica' but also emphasize the substantial impact of mathematical content engagement on travel aspirations. It's as though the captivating mathematics presented in these videos has the power to transport viewers to faraway, frosty landscapes with nothing but the force of its sheer appeal. This underscores the significance of engaging educational content in shaping the wanderlust of modern-day adventurers.

The correlation coefficient of 0.8857933, accompanied by the p-value of less than 0.01, reflects a compelling relationship between the variables under scrutiny. Much like a well-crafted mathematical proof, our data supports the conclusion that the trendier the video titles, the greater the interest in Antarctic travel. It's as if the allure of Antarctic exploration melts away any skepticism about the influence of trendy math videos, leaving us with an undeniable connection akin to the unyielding force of gravity.

Our results align with prior research by Smith et al. (2018) and Doe and Jones (2020) on the impact of online content trends on travel aspirations. However, unlike their general focus on travel destinations, our study specifically highlights the undeniable appeal of Antarctic adventures linked to the engaging nature of 3Blue1Brown video titles. It's as if our research has dug deeper into the frozen ground of this phenomenon, unearthing a treasure trove of nuanced connections that were waiting to be discovered.

Speaking of discoveries, our data not only unveiled a robust correlation but also highlighted the potential of trendy math videos to account for approximately 78.46% of the variability in the search interest for 'flights to Antarctica.' This is no statistical sleight of hand; it's a clear demonstration of the compelling influence wielded by engaging mathematical content. It's as if the numbers themselves conspired to reveal the captivating impact of these videos, leaving us in awe of their power to fuel fascination and inspire travel dreams.

The visual representation in Fig. 1 solidifies the strength of our findings, depicting a relationship so pronounced that it's as rock-solid as an ancient glacier. The scatterplot reveals a clear pattern – as the trendiness of 3Blue1Brown video titles increases, so does the search interest in flights to Antarctica. It's as though the data itself formed a snowball of evidence, rolling downhill with unstoppable force, gathering momentum in support of our hypothesis.

In the end, our research presents a compelling picture of the interconnectedness between online content engagement and aspirational travel. It's as though we've uncovered a secret formula – not one made of chemicals, but of captivating math, subtle influences, and the enchanting allure of the icy land at the bottom of the Earth. Or shall we say, the 'at-bottom-of-the-graph'? We've truly gone to the limits of statistical analysis, accompanied by an ice-cold humor, in our pursuit to understand an unexpectedly fascinating connection.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between How trendy 3Blue1Brown YouTube video titles are and Google searches for 'flights to Antarctica'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
"Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight"

[[ABSTRACT]]
The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.

It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.

As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.

[[INTRDUCTION]]
As the great Isaac Newton once said, "What goes up must come down, unless it's a YouTube video title trend and 'flights to Antarctica' search interest, then we're in for a rollercoaster ride of correlation and fascination." Our research aims to explore the intriguing relationship between the trendiness of 3Blue1Brown YouTube video titles and the Google searches for 'flights to Antarctica,' or as we like to call it, "The Antarctic Antics."
Like a group of penguins waddling through the ever-changing landscape of YouTube trends, we embarked on this research expedition with a mix of curiosity and a dash of delirium. So, grab your snow boots and calculators, as we journey into the statistical wonderland of YouTube engagement and travel aspirations.
It's no secret that correlation does not imply causation, but in this case, we're striving to glean insights that are as clear as ice. Our initial hypothesis was as bold as a polar bear on ice – could the captivating allure of 3Blue1Brown's trendy video titles be linked to a surge in people daydreaming about exploring the icy wonders of Antarctica?
Amidst the myriad of mathematical models and statistical analyses, it's crucial to infuse a bit of humor and humility. After all, there's no need to reinvent the wheel, unless, of course, you're a math enthusiast who's reimagining the geometry of snowflakes.
Our journey through the realm of data analysis and curiosity has been nothing short of a whirlwind adventure. We've uncovered quirky trends and curious connections, all while keeping our spirits high and our pun game strong. So, buckle up, fellow researchers, as we take flight into the whimsical world of YouTube trends and Antarctic aspirations.

[[RESULTS]]
The results of our investigation unveiled a striking correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google. We found a correlation coefficient of 0.8857933, indicating a remarkably strong positive relationship between these two variables. This correlation is as clear as polar ice on a crisp winter's day, firmly establishing the influence of captivating math videos on aspirational travel dreams.
In addition to the robust correlation coefficient, our analysis revealed an r-squared value of 0.7846298. This indicates that approximately 78.46% of the variability in the search interest for 'flights to Antarctica' can be explained by the trendiness of 3Blue1Brown video titles. In other words, the trendiness of math videos accounts for a significant portion of the fascination with Antarctic travel aspirations.
The p-value of less than 0.01 further bolsters our findings, unequivocally demonstrating that the observed correlation is highly unlikely to have occurred by chance alone. With such a minuscule p-value, we are confident that the connection we've uncovered is no mere statistical fluke. It seems that when it comes to the allure of Antarctic adventures, the influence of engaging math content is no joke!
Our confidence in these results is further bolstered by the visual representation of this compelling relationship in Fig. 1. The scatterplot depicts a clear and unmistakable pattern, with the trendiness of 3Blue1Brown video titles increasing in tandem with the search interest in 'flights to Antarctica.' The relationship is so pronounced that it's colder than the Antarctic ice itself, leaving no doubt about the impact of trendy math videos on travel aspirations.
The robustness of this correlation has left us pondering a new mystery - do penguins dream of computing flight paths while they waddle through the icy terrain? We may not have all the answers just yet, but what we've uncovered so far is nothing short of "ear-resistibly" intriguing.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has exposed a remarkably strong correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google. This correlation is as rock-solid as the iceberg that sank the 'Titanic'. Our findings have melted away any doubts about the tantalizing influence of trendy math videos on Antarctic travel aspirations.

It's clear that the allure of the Antarctic has a snowball effect when paired with captivating mathematical content, making this correlation colder than an ice bath. Our results have sparked an interest in exploring the whimsical world of YouTube trends and Antarctic aspirations, as well as the potential flight patterns of penguins - do they fly Airpenguin Express?

As we wrap up our research, it's evident that further exploration into the captivating connection between online trends and travel aspirations is warranted. However, in the realm of penguins and polar coordinates, our findings stand as solid as a frozen theorem. Therefore, it's crystal clear that no more research is needed in this area - we've cracked the icy code wide open!


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 Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Experimental Mathematical Humor


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 Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Quirky Antarctic Mathematics


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 Flight to Antarctica: Watching Math Videos with Delight - A Trendy Insight with an abstract of The correlation between the trendiness of 3Blue1Brown YouTube video titles and the search interest in 'flights to Antarctica' on Google has been a puzzling enigma haunting many a curious mind. Our research team, armed with AI analysis tools and a flair for mathematical humor, delved into this captivating connection. Utilizing data from YouTube video titles and Google Trends, we unearthed a correlation coefficient of 0.8857933 and a p-value of less than 0.01 for the period ranging from 2015 to 2023.
It turns out that the trendier the 3Blue1Brown video titles, the higher the search interest in flights to Antarctica. This finding may seem as ice-cold as the Antarctic winds, but it offers a heartwarming revelation about the influence of trendy math videos on travel aspirations.
As the data whisked us away on this unexpected journey, we couldn't help but wonder if penguins search for flights to the equator. The pursuit of knowledge can truly take us to the ends of the Earth, or at least inspire a few amusing daydreams along the way.

ChatGPT:

3Blue1Brown, YouTube videos, Google Trends, flights to Antarctica, correlation coefficient, p-value, trendy math videos, search interest, AI analysis tools, mathematical humor, travel aspirations, penguins, equator, data analysis, research paper

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



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Data details

How trendy 3Blue1Brown YouTube video titles are
Detailed data title: How trendy 3Blue1Brown YouTube video titles are, as rated by an AI.
Source: AI analysis of YouTube video titles
Additional Info: I asked a large language model, 'On a scale of 1-10, how _______ do you think this YouTube video title is?' for every video.

See what else correlates with How trendy 3Blue1Brown YouTube video titles are

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

See what else correlates with Google searches for 'flights to Antarctica'

Correlation r = 0.8857933 (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 = 0.7846298 (Coefficient of determination)
This means 78.5% of the change in the one variable (i.e., Google searches for 'flights to Antarctica') is predictable based on the change in the other (i.e., How trendy 3Blue1Brown YouTube video titles are) over the 9 years from 2015 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.0015. 0.0014798705176284360000000000
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 0.89 in 0.15% of random cases. Said differently, if you correlated 676 random variables Which I absolutely did.
with the same 8 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 8 because we have two variables measured over a period of 9 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.

[ 0.54, 0.98 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

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


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

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
201520162017201820192020202120222023
How trendy 3Blue1Brown YouTube video titles are (Trendiness score)3.57143.8754.71436.255.66675.23814.14295.54.8235
Google searches for 'flights to Antarctica' (Rel. search volume)22.2525.166731.535.416734.2528.416721.333329.416728.7




Why this works

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




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([3.5714,3.875,4.7143,6.25,5.6667,5.2381,4.1429,5.5,4.8235,])
array_2 = np.array([22.25,25.1667,31.5,35.4167,34.25,28.4167,21.3333,29.4167,28.7,])
array_1_name = "How trendy 3Blue1Brown YouTube video titles are"
array_2_name = "Google searches for 'flights to Antarctica'"

# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)

# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)



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

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

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

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Correlation ID: 4506 · Black Variable ID: 25824 · Red Variable ID: 1373
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