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Spurious correlation #5,271 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air pollution in Bishop, California and the second variable is Total length of MinuteEarth YouTube videos.  The chart goes from 2013 to 2023, and the two variables track closely in value over that time. Small Image
Download png
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AI explanation

The smog acted as a creative fog, inspiring the production of longer and more in-depth videos. As the air quality decreased, the script quality improved, leading to a direct correlation between pollution levels and video length. It's a classic case of hazy air sparking clear ideas, making MinuteEarth's content reach new lengths!

Model: dalle-3
Prompt: Generate an image of a serene landscape in Bishop, California, with a thick blanket of smog enveloping the surrounding area. In the midst of the hazy, foggy atmosphere, the MinuteEarth team is seen working diligently on crafting scripts. The creative muse of the smog inspires them, manifesting in longer and more detailed YouTube video scripts. The correlation between the air pollution and the increasing length of their videos is visually represented in a minimalist style. 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: Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. 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: Magic realism inspired by bauhaus Minimalism Voxel art Cute 2D animation
ChatGPT: Minimalism

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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos, in the following situation: The smog acted as a creative fog, inspiring the production of longer and more in-depth videos. As the air quality decreased, the script quality improved, leading to a direct correlation between pollution levels and video length. It's a classic case of hazy air sparking clear ideas, making MinuteEarth's content reach new lengths!. Keep the description simple.
ChatGPT: In Bishop, California, a thick blanket of smog envelops the landscape, creating a hazy, foggy atmosphere. Amidst the polluted air, the MinuteEarth team is hard at work, crafting longer and more detailed scripts. The smog acts as a creative muse, inspiring them to delve deeper into the topics at hand. As the air pollution worsens, the length of their YouTube videos grows, reflecting the direct correlation between the two variables.

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: [ Minimalism ] and depicting this scene: In Bishop, California, a thick blanket of smog envelops the landscape, creating a hazy, foggy atmosphere. Amidst the polluted air, the MinuteEarth team is hard at work, crafting longer and more detailed scripts. The smog acts as a creative muse, inspiring them to delve deeper into the topics at hand. As the air pollution worsens, the length of their YouTube videos grows, reflecting the direct correlation between the two variables. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a serene landscape in Bishop, California, with a thick blanket of smog enveloping the surrounding area. In the midst of the hazy, foggy atmosphere, the MinuteEarth team is seen working diligently on crafting scripts. The creative muse of the smog inspires them, manifesting in longer and more detailed YouTube video scripts. The correlation between the air pollution and the increasing length of their videos is visually represented in a minimalist style.

*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 Air pollution in Bishop, California positively influenced Total length of MinuteEarth YouTube videos.

AI academic paper

(Because p < 0.01)
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

The Journal of Eclectic Environmental Entanglements

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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. 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 Environmental Protection Agency and YouTube to assess this nagging question. You found a correlation coefficient of 0.9177285 and p < 0.01 for 2013 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]]
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

[[ABSTRACT]]
In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.

Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.

Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!

In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.


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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

[[ABSTRACT]]
In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.

Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.

Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!

In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Air pollution has long been a subject of concern for public health and environmental research. Its detrimental effects on respiratory and cardiovascular health have been well documented, prompting regulatory measures and ongoing monitoring efforts. Meanwhile, the world of digital content creation continues to expand, with platforms like YouTube hosting a vast array of videos on a wide range of topics. The juxtaposition of these seemingly unrelated dimensions – air quality and online video content – has sparked curiosity among researchers, leading to the exploration of their potential correlations.

As we embark on this peculiar journey, it is essential to acknowledge the seemingly whimsical nature of our investigation. After all, who would have thought that the total length of MinuteEarth YouTube videos could be linked to the air pollution levels in Bishop, California? It's a conundrum that might leave our skeptics asking, "Are we inhaling misinformation or exhaling revelation?" Nevertheless, our findings, laced with a healthy dose of statistical analysis, illuminate a connection that is as surprising as it is intriguing.

The correlation uncovered in this study is not just a breath of fresh air; it's a lungful of insight into the intertwined realms of environmental quality and digital content. So, brace yourselves for a scientific odyssey that not only challenges conventional wisdom but also tickles the intellect with its unexpected twist of fate.

And so, like a good dad joke, our investigation promises to deliver a punchline that leaves us ruminating on the profound and the preposterous. After all, who wouldn't want to uncover the "aerodynamics" behind this peculiar relationship and marvel at the far-reaching implications it may hold?


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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. 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 cite some social media posts you read that seem to be related.

Here is the title and abstract of the paper:
[[TITLE]]
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

[[ABSTRACT]]
In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.

Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.

Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!

In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Air pollution has long been a subject of concern for public health and environmental research. Its detrimental effects on respiratory and cardiovascular health have been well documented, prompting regulatory measures and ongoing monitoring efforts. Meanwhile, the world of digital content creation continues to expand, with platforms like YouTube hosting a vast array of videos on a wide range of topics. The juxtaposition of these seemingly unrelated dimensions – air quality and online video content – has sparked curiosity among researchers, leading to the exploration of their potential correlations.
As we embark on this peculiar journey, it is essential to acknowledge the seemingly whimsical nature of our investigation. After all, who would have thought that the total length of MinuteEarth YouTube videos could be linked to the air pollution levels in Bishop, California? It's a conundrum that might leave our skeptics asking, "Are we inhaling misinformation or exhaling revelation?" Nevertheless, our findings, laced with a healthy dose of statistical analysis, illuminate a connection that is as surprising as it is intriguing.
The correlation uncovered in this study is not just a breath of fresh air; it's a lungful of insight into the intertwined realms of environmental quality and digital content. So, brace yourselves for a scientific odyssey that not only challenges conventional wisdom but also tickles the intellect with its unexpected twist of fate.
And so, like a good dad joke, our investigation promises to deliver a punchline that leaves us ruminating on the profound and the preposterous. After all, who wouldn't want to uncover the "aerodynamics" behind this peculiar relationship and marvel at the far-reaching implications it may hold?

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In their study, Smith and colleagues investigate the impact of air pollution on cognitive function and academic performance among school children in urban areas ("The Effects of Air Pollution on Children's Health," Smith et al., 2017). The authors find a significant negative association between air pollution levels and cognitive test scores, raising concerns about the potential long-term repercussions of environmental quality on educational outcomes.

Speaking of children, did you hear about the kid who told his dad he wanted to do a biology project on breathing? His dad replied, "Just take my breath away, huh?"

Moving on, Doe and Jones explore the relationship between air pollution and economic productivity in their analysis of regional data across the United States ("The Economic Costs of Air Pollution," Doe & Jones, 2019). Their findings reveal a substantial reduction in labor productivity and increased healthcare expenditures associated with higher levels of air pollution, prompting policymakers to consider the economic implications of environmental regulations.

It's like the air pollution was holding a grudge against productivity. It must have been feeling quite "suffocated" in that situation!

In the realm of non-fiction literature, "The Air Quality Crisis: A Call to Action" by Environmentalist P. Green sheds light on the far-reaching consequences of air pollution and implores readers to take proactive steps in mitigating its effects. On the fiction front, "The Smoggy Chronicles" by Author A. Q. Breathis captivatingly portrays a dystopian world engulfed in air pollution, offering a cautionary tale of environmental neglect.

I once read a social media post that said, "Air pollution is no joke - just breathe easy and stay informed, folks! #CleanAir #HealthyYou." The post resonated with the theme of our research, reminding us that the air we breathe influences not only our health but also unexpected elements of our digital consumption habits.

As we navigate through the labyrinth of literature and digital discourse, it becomes evident that the connection between air pollution and various aspects of human life goes beyond the conventional realms of health and economics. Who would have thought that the next stop on this academic journey would lead us to the captivating world of YouTube content and minute-long chuckles (or perhaps a bit longer)?


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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 Environmental Protection Agency and YouTube . You used data from 2013 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]]
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

[[ABSTRACT]]
In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.

Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.

Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!

In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.

[[INTRODUCTION]]
Air pollution has long been a subject of concern for public health and environmental research. Its detrimental effects on respiratory and cardiovascular health have been well documented, prompting regulatory measures and ongoing monitoring efforts. Meanwhile, the world of digital content creation continues to expand, with platforms like YouTube hosting a vast array of videos on a wide range of topics. The juxtaposition of these seemingly unrelated dimensions – air quality and online video content – has sparked curiosity among researchers, leading to the exploration of their potential correlations.
As we embark on this peculiar journey, it is essential to acknowledge the seemingly whimsical nature of our investigation. After all, who would have thought that the total length of MinuteEarth YouTube videos could be linked to the air pollution levels in Bishop, California? It's a conundrum that might leave our skeptics asking, "Are we inhaling misinformation or exhaling revelation?" Nevertheless, our findings, laced with a healthy dose of statistical analysis, illuminate a connection that is as surprising as it is intriguing.
The correlation uncovered in this study is not just a breath of fresh air; it's a lungful of insight into the intertwined realms of environmental quality and digital content. So, brace yourselves for a scientific odyssey that not only challenges conventional wisdom but also tickles the intellect with its unexpected twist of fate.
And so, like a good dad joke, our investigation promises to deliver a punchline that leaves us ruminating on the profound and the preposterous. After all, who wouldn't want to uncover the "aerodynamics" behind this peculiar relationship and marvel at the far-reaching implications it may hold?

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the enigmatic connection between air pollution in Bishop, California and the total length of MinuteEarth YouTube videos, our research team embarked on a quest as intriguing as solving an environmental-themed riddle. We amassed data from the Environmental Protection Agency (EPA) and YouTube, utilizing an array of meticulously selected statistical methods and slightly cliché dad jokes to bring a lighthearted touch to our methodological rigmarole.

Firstly, in our pursuit of air pollution data, we delved into the EPA's Air Quality System (AQS) database, extracting hourly air quality measurements for Bishop, California – a locale notorious for its rugged landscapes, quaint charm, and intriguing data correlations. Armed with a metaphorical magnifying glass and an abundance of patience, we combed through years of air quality data, meticulously collecting measurements of common pollutants such as PM2.5, PM10, carbon monoxide, sulfur dioxide, and nitrogen dioxide – a process akin to sifting through a treasure trove of environmental quirks, akin to a modern-day environmental detective in search of statistical clues.

Once our grasp on Bishop's air quality firmed up like a well-layered lasagna, we turned our attention to the gleaming, ever-expanding digital vaults of YouTube. The data extraction process from this online video platform was akin to navigating a maze of digital delights – titles, timestamps, durations, and a plethora of thumbnails that tempted us to take a "clickbait" detour. By employing a custom-built web scraping algorithm with a dash of creative coding finesse, we managed to astrally project ourselves into the recesses of the YouTube-verse to retrieve information on all MinuteEarth videos released during the 2013 to 2023 timeframe.

With our data in hand, we applied a series of statistical analyses, including Pearson correlation coefficient, linear regression, and a sprinkle of bootstrapping for good measure. The computational rigmarole involved creating a web of mathematical connections, piecing together the threads of environmental data and digital content duration with the finesse of a mathematical tailor. This allowed us to quantitatively evaluate the relationship between air pollution levels and the lengths of MinuteEarth videos with the keenness of a digital Sherlock Holmes solving a quantitatively astute "murder-mystery."

The statistical models we employed not only brought forth a trove of fascinating insights but also made us feel a bit like digital alchemists, transmuting data into knowledge in the crucible of statistical significance. Furthermore, with the precision of a mathematical scalpel, we accounted for potential confounding variables such as seasonal trends, meteorological anomalies, and abrupt YouTube algorithm changes, ensuring that our findings were as robust as a well-built data fortress.

In the end, armed with a touch of statistical whimsy and the persistence of a data explorer, our research team unraveled the conundrum of this unlikely correlation, simultaneously demonstrating that even the most seemingly remote phenomena can be interconnected in the grand mesh of statistical intrigue.


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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 Environmental Protection Agency and YouTube .

For the time period 2013 to 2023, you found a correlation 0.9177285, r-squared of 0.8422256, 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]]
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

[[ABSTRACT]]
In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.

Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.

Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!

In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Air pollution has long been a subject of concern for public health and environmental research. Its detrimental effects on respiratory and cardiovascular health have been well documented, prompting regulatory measures and ongoing monitoring efforts. Meanwhile, the world of digital content creation continues to expand, with platforms like YouTube hosting a vast array of videos on a wide range of topics. The juxtaposition of these seemingly unrelated dimensions – air quality and online video content – has sparked curiosity among researchers, leading to the exploration of their potential correlations.
As we embark on this peculiar journey, it is essential to acknowledge the seemingly whimsical nature of our investigation. After all, who would have thought that the total length of MinuteEarth YouTube videos could be linked to the air pollution levels in Bishop, California? It's a conundrum that might leave our skeptics asking, "Are we inhaling misinformation or exhaling revelation?" Nevertheless, our findings, laced with a healthy dose of statistical analysis, illuminate a connection that is as surprising as it is intriguing.
The correlation uncovered in this study is not just a breath of fresh air; it's a lungful of insight into the intertwined realms of environmental quality and digital content. So, brace yourselves for a scientific odyssey that not only challenges conventional wisdom but also tickles the intellect with its unexpected twist of fate.
And so, like a good dad joke, our investigation promises to deliver a punchline that leaves us ruminating on the profound and the preposterous. After all, who wouldn't want to uncover the "aerodynamics" behind this peculiar relationship and marvel at the far-reaching implications it may hold?

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Our research team analyzed the data obtained from the Environmental Protection Agency and YouTube to investigate the possible relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. A robust correlation of 0.9177285 was found, along with an r-squared value of 0.8422256 and a significantly low p-value of less than 0.01. These statistical indicators indicate a high degree of association between the two variables, supporting the existence of a notable connection between air pollution and video length.

Figure 1 depicts a scatterplot illustrating the strong correlation between air pollution levels and MinuteEarth video durations. As the air pollution levels decrease, the length of MinuteEarth videos tends to increase, forming a discernible positive trend. The data points are tightly clustered around the trendline, emphasizing the consistency of this unexpected relationship.

Now, bear with me for a moment as I unleash a fitting dad joke for this remarkable find: it seems that when it comes to air pollution and MinuteEarth video length, the "plot" thickens as the air clears! It's a correlation that not only captures the imagination but also breathes life into the unexpected interplay between environmental factors and digital content creation.


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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

[[ABSTRACT]]
In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.

Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.

Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!

In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.

[[LITERATURE REVIEW]]
In their study, Smith and colleagues investigate the impact of air pollution on cognitive function and academic performance among school children in urban areas ("The Effects of Air Pollution on Children's Health," Smith et al., 2017). The authors find a significant negative association between air pollution levels and cognitive test scores, raising concerns about the potential long-term repercussions of environmental quality on educational outcomes.
Speaking of children, did you hear about the kid who told his dad he wanted to do a biology project on breathing? His dad replied, "Just take my breath away, huh?"
Moving on, Doe and Jones explore the relationship between air pollution and economic productivity in their analysis of regional data across the United States ("The Economic Costs of Air Pollution," Doe & Jones, 2019). Their findings reveal a substantial reduction in labor productivity and increased healthcare expenditures associated with higher levels of air pollution, prompting policymakers to consider the economic implications of environmental regulations.
It's like the air pollution was holding a grudge against productivity. It must have been feeling quite "suffocated" in that situation!
In the realm of non-fiction literature, "The Air Quality Crisis: A Call to Action" by Environmentalist P. Green sheds light on the far-reaching consequences of air pollution and implores readers to take proactive steps in mitigating its effects. On the fiction front, "The Smoggy Chronicles" by Author A. Q. Breathis captivatingly portrays a dystopian world engulfed in air pollution, offering a cautionary tale of environmental neglect.
I once read a social media post that said, "Air pollution is no joke - just breathe easy and stay informed, folks! #CleanAir #HealthyYou." The post resonated with the theme of our research, reminding us that the air we breathe influences not only our health but also unexpected elements of our digital consumption habits.
As we navigate through the labyrinth of literature and digital discourse, it becomes evident that the connection between air pollution and various aspects of human life goes beyond the conventional realms of health and economics. Who would have thought that the next stop on this academic journey would lead us to the captivating world of YouTube content and minute-long chuckles (or perhaps a bit longer)?

[[RESULTS]]
Our research team analyzed the data obtained from the Environmental Protection Agency and YouTube to investigate the possible relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. A robust correlation of 0.9177285 was found, along with an r-squared value of 0.8422256 and a significantly low p-value of less than 0.01. These statistical indicators indicate a high degree of association between the two variables, supporting the existence of a notable connection between air pollution and video length.
Figure 1 depicts a scatterplot illustrating the strong correlation between air pollution levels and MinuteEarth video durations. As the air pollution levels decrease, the length of MinuteEarth videos tends to increase, forming a discernible positive trend. The data points are tightly clustered around the trendline, emphasizing the consistency of this unexpected relationship.
Now, bear with me for a moment as I unleash a fitting dad joke for this remarkable find: it seems that when it comes to air pollution and MinuteEarth video length, the "plot" thickens as the air clears! It's a correlation that not only captures the imagination but also breathes life into the unexpected interplay between environmental factors and digital content creation.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study has yielded mesmerizing results, shedding light on the intriguing relationship between air pollution levels in Bishop, California and the duration of MinuteEarth YouTube videos. The robust correlation coefficient of 0.9177285, supported by a significantly low p-value, substantiates the existence of a pronounced link between the two seemingly disparate variables.

Taking into account the findings of Smith et al. (2017) and Doe & Jones (2019), which underscore the deleterious effects of air pollution on cognitive function and economic productivity, our research introduces a novel dimension to the discourse on environmental influences. By providing empirical evidence of a correlation between air quality and digital content properties, our study aligns with prior investigations that attest to the far-reaching impact of atmospheric conditions.

As we journey through the interface of environmental factors and digital media, it becomes apparent that the connective web of air pollution extends beyond its conventional associations with health and economics, permeating unexpected domains of online content creation. Our results echo the sentiments expressed in Doe & Jones's (2019) exploration of the economic ramifications of air pollution, indicating that environmental variables can manifest in unanticipated facets of digital consumption.

With our findings in mind, the pun-laden tangential connection during the literature review takes on an unexpected relevance. The whimsical tales involving breathing biology projects and quotes about staying informed on air quality – once serving as light-hearted interludes – now amusingly align with our evidence of a tangible and statistically significant relationship between air pollution and MinuteEarth video durations.

The robust association observed in our research beckons further exploration into the underlying mechanisms driving this peculiar correlation. Could it be that cleaner air fosters a creative impulse, leading content creators to produce longer videos? Or is it a case of heightened attention and engagement in eco-conscious communities, resulting in extended viewership and content appreciation? These intriguing possibilities invite future studies to delve into the nuanced interplay between environmental conditions and digital content creation, broadening our conceptualization of the ripple effects of air quality.

In unraveling the entwined tapestry of air pollution and MinuteEarth video length, our study introduces a refreshing perspective that encourages researchers to look beyond conventional factors shaping digital content. While our research may have commenced with a whimsical premise, the robustness of our findings underscores the potential significance of unearthing unexpected connections in the diverse landscapes of environmental and digital influences.

As we uncover the layers of complexity woven into the interaction between environmental conditions and digital content, new avenues of inquiry beckon, inviting researchers to engage in playful investigations that unravel the unforeseen interplay of environmental variables and online content properties. This study stands as a testament to the captivating discoveries awaiting those who dare to navigate the terrain of unexpected correlations and pun-derful insights.


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 Air pollution in Bishop, California and Total length of MinuteEarth YouTube videos. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids

[[ABSTRACT]]
In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.

Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.

Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!

In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.

[[INTRDUCTION]]
Air pollution has long been a subject of concern for public health and environmental research. Its detrimental effects on respiratory and cardiovascular health have been well documented, prompting regulatory measures and ongoing monitoring efforts. Meanwhile, the world of digital content creation continues to expand, with platforms like YouTube hosting a vast array of videos on a wide range of topics. The juxtaposition of these seemingly unrelated dimensions – air quality and online video content – has sparked curiosity among researchers, leading to the exploration of their potential correlations.
As we embark on this peculiar journey, it is essential to acknowledge the seemingly whimsical nature of our investigation. After all, who would have thought that the total length of MinuteEarth YouTube videos could be linked to the air pollution levels in Bishop, California? It's a conundrum that might leave our skeptics asking, "Are we inhaling misinformation or exhaling revelation?" Nevertheless, our findings, laced with a healthy dose of statistical analysis, illuminate a connection that is as surprising as it is intriguing.
The correlation uncovered in this study is not just a breath of fresh air; it's a lungful of insight into the intertwined realms of environmental quality and digital content. So, brace yourselves for a scientific odyssey that not only challenges conventional wisdom but also tickles the intellect with its unexpected twist of fate.
And so, like a good dad joke, our investigation promises to deliver a punchline that leaves us ruminating on the profound and the preposterous. After all, who wouldn't want to uncover the "aerodynamics" behind this peculiar relationship and marvel at the far-reaching implications it may hold?

[[RESULTS]]
Our research team analyzed the data obtained from the Environmental Protection Agency and YouTube to investigate the possible relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. A robust correlation of 0.9177285 was found, along with an r-squared value of 0.8422256 and a significantly low p-value of less than 0.01. These statistical indicators indicate a high degree of association between the two variables, supporting the existence of a notable connection between air pollution and video length.
Figure 1 depicts a scatterplot illustrating the strong correlation between air pollution levels and MinuteEarth video durations. As the air pollution levels decrease, the length of MinuteEarth videos tends to increase, forming a discernible positive trend. The data points are tightly clustered around the trendline, emphasizing the consistency of this unexpected relationship.
Now, bear with me for a moment as I unleash a fitting dad joke for this remarkable find: it seems that when it comes to air pollution and MinuteEarth video length, the "plot" thickens as the air clears! It's a correlation that not only captures the imagination but also breathes life into the unexpected interplay between environmental factors and digital content creation.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has uncovered a surprising and robust correlation between the air pollution levels in Bishop, California and the duration of MinuteEarth YouTube videos. The statistical evidence leaves little room for doubt regarding the existence of this unexpected relationship. As the air quality improves in Bishop, the length of MinuteEarth videos on YouTube also increases, exemplifying an intriguing interdependence between environmental conditions and digital content production.

Our findings not only offer a glimpse into the whimsical nature of statistical phenomena but also beckon further exploration into unconventional correlations. As we wrap up our research, it would be remiss of us not to leave you with one last "air-raising" dad joke: it seems that the clean air in Bishop is not only good for our lungs but also for our binge-watching habits - talk about a breath of fresh content!

In light of these discoveries, we assert that no further research is needed in this area. The correlation between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos has been firmly established, leaving us to marvel at the harmonious dance between environmental factors and online visual narrative. It's a quirky connection that merits further exploration but certainly one that has left us all breathing a little easier.


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 Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Eclectic Environmental Entanglements


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 Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Quirky Environmental Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Air Pollution and Duration: A Rhyme-Worthy Connection between Bishop, California and MinuteEarth YouTube Vids with an abstract of In this study, we delve into the whimsical relationship between air pollution levels in Bishop, California and the total length of MinuteEarth YouTube videos. By analyzing data from the Environmental Protection Agency and YouTube, we found a surprisingly strong correlation between the two seemingly unrelated variables. Our research team's findings revealed a correlation coefficient of 0.9177285 with p < 0.01, spanning the years from 2013 to 2023.
Now, you may be wondering, "What does air pollution have to do with YouTube videos?" Well, breathe in this punny explanation – it seems that as air pollution levels in Bishop decrease, the total duration of MinuteEarth videos on YouTube increases. Perhaps the cleaner the air, the longer the videos to enjoy, or maybe it's simply a case of "clear skies, longer ties" correlational humor intended.
Our study not only sheds light on this quirky correlation but also opens the door to further inquiries into the intersection of environmental factors and digital content production. So, next time you're watching MinuteEarth videos, take a moment to appreciate the fresh air and the longer runtime – there's more to it than meets the "eye-ribrated"!
In conclusion, our findings uncover an unexpected link between air pollution in Bishop, California and the length of MinuteEarth YouTube videos, encouraging researchers to dive into the fusion of environmental data and online content creation.

ChatGPT:

air pollution, Bishop California, MinuteEarth YouTube, correlation, environmental factors, digital content production, correlation coefficient, YouTube video length, environmental data, data analysis

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



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Data details

Air pollution in Bishop, California
Detailed data title: Percentage of days 'unhealthy' or worse air quality in Bishop, CA
Source: Environmental Protection Agency
See what else correlates with Air pollution in Bishop, California

Total length of MinuteEarth YouTube videos
Detailed data title: Total length of MinuteEarth YouTube videos.
Source: YouTube
See what else correlates with Total length of MinuteEarth YouTube videos

Correlation r = 0.9177285 (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 = 0.8422256 (Coefficient of determination)
This means 84.2% of the change in the one variable (i.e., Total length of MinuteEarth YouTube videos) is predictable based on the change in the other (i.e., Air pollution in Bishop, California) over the 11 years from 2013 through 2023.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 6.8E-5. 0.0000682459218656048800000000
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 0.92 in 0.0068% of random cases. Said differently, if you correlated 14,653 random variables Which I absolutely did.
with the same 10 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 10 because we have two variables measured over a period of 11 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

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

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


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

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
20132014201520162017201820192020202120222023
Air pollution in Bishop, California (Bad air quality days)3.01372.465752.465752.185792.465753.01371.643848.743174.931513.561642.5641
Total length of MinuteEarth YouTube videos (Total length in seconds)4188350739425494606443395347170721267378357266




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. Confounding variable: 2020 is particularly different from the other years on this graph. Confounding variables (like global pandemics) will cause two variables to look connected when in fact a "sneaky third" variable is influencing both of them behind the scenes.




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([3.0137,2.46575,2.46575,2.18579,2.46575,3.0137,1.64384,8.74317,4.93151,3.56164,2.5641,])
array_2 = np.array([4188,3507,3942,5494,6064,4339,5347,17072,12673,7835,7266,])
array_1_name = "Air pollution in Bishop, California"
array_2_name = "Total length of MinuteEarth YouTube videos"

# 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: 5271 · Black Variable ID: 20359 · Red Variable ID: 25622
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