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Spurious correlation #4,132 · 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 New York City and the second variable is Viewership count for Days of Our Lives.  The chart goes from 1980 to 2021, and the two variables track closely in value over that time. Small Image

AI explanation

As the air cleared up, it seems the drama just couldn't "catch" anymore! It's a "smoggy" mystery how the clean air led to a dip in Days of Our Lives viewership. But maybe without the pollution, the show just couldn't "breathe" and lost its "spark."

Model: dalle-3
Prompt: Prompt: Generate an image in the style of a Discovery magazine cover, showcasing New York City's clear skyline in contrast to the usual smog and pollution. People are walking on the streets, visibly taking deep breaths of fresh air and admiring the unobstructed cityscape. In a nearby apartment building, a television screen displays a scene from Days of Our Lives, with a lower-than-usual viewership count visible. The connection between the clean air and the decline in the show's viewership creates a perplexing juxtaposition. 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 New York City and Viewership count for Days of Our Lives. 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 funny image you would see on reddit A Discovery magazine cover image A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Whimsical illustration Steampunk
ChatGPT: A Discovery magazine cover image

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 New York City and Viewership count for Days of Our Lives, in the following situation: As the air cleared up, it seems the drama just couldn't "catch" anymore! It's a "smoggy" mystery how the clean air led to a dip in Days of Our Lives viewership. But maybe without the pollution, the show just couldn't "breathe" and lost its "spark.". Keep the description simple.
ChatGPT: The scene is set in New York City, where the skyline is visible, now free from the usual smog and pollution. People are seen walking in the streets, taking deep breaths of fresh air and appreciating the clear view of the cityscape. However, in a nearby apartment building, the television screen displays a dramatic scene from Days of Our Lives, but the viewership count is visibly lower than usual. The connection between the clean air and the decline in the show's viewership seems perplexing, as if the absence of pollution has somehow affected the show's allure.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ A Discovery magazine cover image ] and depicting this scene: The scene is set in New York City, where the skyline is visible, now free from the usual smog and pollution. People are seen walking in the streets, taking deep breaths of fresh air and appreciating the clear view of the cityscape. However, in a nearby apartment building, the television screen displays a dramatic scene from Days of Our Lives, but the viewership count is visibly lower than usual. The connection between the clean air and the decline in the show's viewership seems perplexing, as if the absence of pollution has somehow affected the show's allure. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image in the style of a Discovery magazine cover, showcasing New York City's clear skyline in contrast to the usual smog and pollution. People are walking on the streets, visibly taking deep breaths of fresh air and admiring the unobstructed cityscape. In a nearby apartment building, a television screen displays a scene from Days of Our Lives, with a lower-than-usual viewership count visible. The connection between the clean air and the decline in the show's viewership creates a perplexing juxtaposition.

*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 a decrease in Air pollution in New York City caused Viewership count for Days of Our Lives to decrease. Include one good pun.

AI academic paper

(Because p < 0.01)
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

The Journal of Environmental Entertainment Studies

Jan 2024
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 witty academic researcher. Your writing sounds like it belongs in a statistics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Air pollution in New York City and Viewership count for Days of Our Lives. 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 Wikipedia to assess this nagging question. You found a correlation coefficient of 0.8861488 and p < 0.01 for 1980 to 2021.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

[[ABSTRACT]]
In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Air pollution in New York City and Viewership count for Days of Our Lives. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Here is the title and abstract of the paper:
[[TITLE]]
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

[[ABSTRACT]]
In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Take a deep breath and brace yourself for a scientific journey that may leave you breathless. In this study, we delve into the intriguing relationship between air pollution levels in the bustling metropolis of New York City and the viewership count for the timeless soap opera, Days of Our Lives. It's quite an unexpected pairing, and the results are just as surprising as the sudden appearance of a long-lost soap opera character!

As we tiptoe our way through the labyrinth of environmental statistics and television viewership data, we couldn't help but notice the striking correlation between air pollution levels and the fascination with the dramatic lives of the citizens of Salem. It's almost as puzzling as trying to solve a soap opera mystery, only this time, the culprit isn't the butler, it's air pollution!

Our findings unveiled a statistically significant relationship with a correlation coefficient of 0.8861488 and p < 0.01 between air pollution and Days of Our Lives viewership from 1980 to 2021. It's an association so strong, it's as if the smog in the air is whispering dramatic plot twists to the citizens of New York City. It's enough to make even the most seasoned statistician do a double take, or maybe even a double episode marathon!

Now, you may be wondering, "What on earth could cause such a peculiar connection?" Well, we are left pondering whether the hustle and bustle of city life, combined with the haze of air pollution, somehow sparks an increased fascination for the escapades of the residents of Salem. It's almost as if the city's smog is secretly encouraging viewers to immerse themselves in the fictional fog of soap opera intrigue!

This study aims to shine a light on this unexpected correlation and provide a breath of fresh air to future research endeavors in the realms of environmental and media studies. Who knows, maybe our findings will inspire a new wave of air pollution-themed soap opera storylines – where the only thing thicker than the plot is the smog in the air!


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Air pollution in New York City and Viewership count for Days of Our Lives. 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 devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading CVS receipts.

Here is the title and abstract of the paper:
[[TITLE]]
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

[[ABSTRACT]]
In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Take a deep breath and brace yourself for a scientific journey that may leave you breathless. In this study, we delve into the intriguing relationship between air pollution levels in the bustling metropolis of New York City and the viewership count for the timeless soap opera, Days of Our Lives. It's quite an unexpected pairing, and the results are just as surprising as the sudden appearance of a long-lost soap opera character!
As we tiptoe our way through the labyrinth of environmental statistics and television viewership data, we couldn't help but notice the striking correlation between air pollution levels and the fascination with the dramatic lives of the citizens of Salem. It's almost as puzzling as trying to solve a soap opera mystery, only this time, the culprit isn't the butler, it's air pollution!
Our findings unveiled a statistically significant relationship with a correlation coefficient of 0.8861488 and p < 0.01 between air pollution and Days of Our Lives viewership from 1980 to 2021. It's an association so strong, it's as if the smog in the air is whispering dramatic plot twists to the citizens of New York City. It's enough to make even the most seasoned statistician do a double take, or maybe even a double episode marathon!
Now, you may be wondering, "What on earth could cause such a peculiar connection?" Well, we are left pondering whether the hustle and bustle of city life, combined with the haze of air pollution, somehow sparks an increased fascination for the escapades of the residents of Salem. It's almost as if the city's smog is secretly encouraging viewers to immerse themselves in the fictional fog of soap opera intrigue!
This study aims to shine a light on this unexpected correlation and provide a breath of fresh air to future research endeavors in the realms of environmental and media studies. Who knows, maybe our findings will inspire a new wave of air pollution-themed soap opera storylines – where the only thing thicker than the plot is the smog in the air!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The literature on the relationship between air pollution and television viewership may at first glance seem as thin as city air on a smoggy day. While many studies have examined the impact of air pollution on human health and behavior, few have ventured into the realm of soap opera viewership. However, a select few pioneering works have paved the way for our current investigation.

In "How I Met Your Mother," the authors find that high levels of air pollution are associated with increased odds of tuning into soap operas. One might say the smog isn't the only thing that's soapy in the air!

Speaking of soapy air, "Gone with the Wind" suggests a link between atmospheric conditions and engagement with melodramatic television. Our findings are as compelling as a well-crafted soap opera plot twist!

Now, in a departure from non-fiction works, the fictional tome "The Catcher in the Rye" hints at the potential impact of air pollution on literary consumption. It’s almost as enigmatic as a soap opera cliffhanger!

On a more fantastical note, "A Song of Ice and Fire" by George R.R. Martin hints at a connection between air quality and engagement with fictional worlds. This correlation is as surprising as a plot twist in a soap opera!

In a turn toward unconventional sources, our extensive literature review also included perusal of grocery store receipts, where we stumbled upon a correlation between air freshener purchases and soap opera viewership. It seems the scent of fresh air is tied to fascination with soapy tales!

This comprehensive review of the literature lays the groundwork for our investigation into the unexpected relationship between air pollution and Days of Our Lives viewership. It’s safe to say that our findings are as unexpected as a character coming back from the dead in a soap opera!


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Air pollution in New York City and Viewership count for Days of Our Lives. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Wikipedia . You used data from 1980 to 2021

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

[[ABSTRACT]]
In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!

[[INTRODUCTION]]
Take a deep breath and brace yourself for a scientific journey that may leave you breathless. In this study, we delve into the intriguing relationship between air pollution levels in the bustling metropolis of New York City and the viewership count for the timeless soap opera, Days of Our Lives. It's quite an unexpected pairing, and the results are just as surprising as the sudden appearance of a long-lost soap opera character!
As we tiptoe our way through the labyrinth of environmental statistics and television viewership data, we couldn't help but notice the striking correlation between air pollution levels and the fascination with the dramatic lives of the citizens of Salem. It's almost as puzzling as trying to solve a soap opera mystery, only this time, the culprit isn't the butler, it's air pollution!
Our findings unveiled a statistically significant relationship with a correlation coefficient of 0.8861488 and p < 0.01 between air pollution and Days of Our Lives viewership from 1980 to 2021. It's an association so strong, it's as if the smog in the air is whispering dramatic plot twists to the citizens of New York City. It's enough to make even the most seasoned statistician do a double take, or maybe even a double episode marathon!
Now, you may be wondering, "What on earth could cause such a peculiar connection?" Well, we are left pondering whether the hustle and bustle of city life, combined with the haze of air pollution, somehow sparks an increased fascination for the escapades of the residents of Salem. It's almost as if the city's smog is secretly encouraging viewers to immerse themselves in the fictional fog of soap opera intrigue!
This study aims to shine a light on this unexpected correlation and provide a breath of fresh air to future research endeavors in the realms of environmental and media studies. Who knows, maybe our findings will inspire a new wave of air pollution-themed soap opera storylines – where the only thing thicker than the plot is the smog in the air!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unmask the enigmatic link between air pollution levels and Days of Our Lives viewership in New York City, we embarked on a statistical odyssey that would make even the most seasoned soap opera sleuth raise an eyebrow, or perhaps shed a dramatic tear. Our research team scoured the depths of the internet, surfing through the waves of data from the Environmental Protection Agency and Wikipedia, like sailors navigating the tumultuous seas of environmental statistics and television viewership. We gathered air pollution data from various monitoring stations in New York City, capturing the essence of the city's atmospheric drama from 1980 to 2021.

With the air pollution data in hand, we then turned our attention to the captivating world of soap operas, Days of Our Lives in particular. Our team meticulously sifted through historical viewership counts, uncovering the dramatic ebb and flow of audience engagement with the comings and goings of the citizens of Salem. Much like a protagonist piecing together a puzzle, we meticulously compiled and curated a dataset worthy of an Emmy nomination.

Now, every statistical adventure needs a trusty companion, and in our case, that companion came in the form of the Pearson correlation coefficient. We employed this stalwart statistic to examine the relationship between air pollution levels and Days of Our Lives viewership counts over the decades. As we crunched the numbers, we also conducted a series of robustness checks that could make even the most daring soap opera character blush.

In addition, we employed a variety of time-series analyses to unravel the temporal intricacies of this quirky connection. We wanted to be sure that our findings didn't just evaporate into thin air, much like a soap opera villain's alibi.

To further validate our results, we utilized various statistical tests, including autoregressive integrated moving average (ARIMA) models, to breathe confidence into our findings. We wanted to make sure our conclusions were as solid as the dramatic plot twists of a well-written soap opera.

In the spirit of transparency, we also examined potential confounding variables, including changes in television programming, shifts in demographic trends, and other atmospheric factors that could cloud our interpretation of the results. We wanted to ensure that our conclusions stood strong against any unexpected plot twists, much like the steadfast resolve of a soap opera heroine.

In the end, we emerged from this statistical saga with a compelling narrative that sheds light on the captivating relationship between air pollution in New York City and the enduring allure of Days of Our Lives. Our methodology, much like a gripping soap opera storyline, seamlessly weaved together various data sources and statistical tools to bring this unexpected connection to life. Who knew that the haze of air pollution could cast such a spellbinding influence on the small screen dramas of Salem? It's almost as mind-boggling as trying to solve a soap opera mystery with a plot thicker than the city's smog!

And that, my fellow researchers, is the method behind the madness of unraveling the enthralling link between air pollution and Days of Our Lives viewership in the bustling metropolis of New York City. We hope our methodology sets the stage for future investigations into the unforeseen dynamics between environmental factors and media consumption, leaving behind a breath of scholarly curiosity and, dare I say, some infectious laughter, much like a well-timed soap opera punchline.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Air pollution in New York City and Viewership count for Days of Our Lives. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and Wikipedia .

For the time period 1980 to 2021, you found a correlation 0.8861488, r-squared of 0.7852597, 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]]
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

[[ABSTRACT]]
In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Take a deep breath and brace yourself for a scientific journey that may leave you breathless. In this study, we delve into the intriguing relationship between air pollution levels in the bustling metropolis of New York City and the viewership count for the timeless soap opera, Days of Our Lives. It's quite an unexpected pairing, and the results are just as surprising as the sudden appearance of a long-lost soap opera character!
As we tiptoe our way through the labyrinth of environmental statistics and television viewership data, we couldn't help but notice the striking correlation between air pollution levels and the fascination with the dramatic lives of the citizens of Salem. It's almost as puzzling as trying to solve a soap opera mystery, only this time, the culprit isn't the butler, it's air pollution!
Our findings unveiled a statistically significant relationship with a correlation coefficient of 0.8861488 and p < 0.01 between air pollution and Days of Our Lives viewership from 1980 to 2021. It's an association so strong, it's as if the smog in the air is whispering dramatic plot twists to the citizens of New York City. It's enough to make even the most seasoned statistician do a double take, or maybe even a double episode marathon!
Now, you may be wondering, "What on earth could cause such a peculiar connection?" Well, we are left pondering whether the hustle and bustle of city life, combined with the haze of air pollution, somehow sparks an increased fascination for the escapades of the residents of Salem. It's almost as if the city's smog is secretly encouraging viewers to immerse themselves in the fictional fog of soap opera intrigue!
This study aims to shine a light on this unexpected correlation and provide a breath of fresh air to future research endeavors in the realms of environmental and media studies. Who knows, maybe our findings will inspire a new wave of air pollution-themed soap opera storylines – where the only thing thicker than the plot is the smog in the air!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The correlation analysis conducted revealed a strong positive relationship between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. The correlation coefficient of 0.8861488 indicated a substantial association, which is enough to make even the most seasoned statistician want to tune in for the next episode, just to see if the smog in the air whispers any more uncanny plot twists!

Furthermore, the coefficient of determination (r-squared) of 0.7852597 suggests that approximately 78.5% of the variation in Days of Our Lives viewership count can be explained by changes in air pollution levels. It's as if the murky haze of air pollution has become an unexpected character in the soap opera's dramatic storyline – talk about an atmospheric twist!

The statistical significance of the relationship was confirmed with a p-value of less than 0.01, indicating that the observed correlation is unlikely to be a result of random chance. It's almost as improbable as a coincidental amnesia plotline in a soap opera – but believe it or not, this connection is as real as the pollution in the New York City air.

Fig. 1 (to be included) displays a scatterplot illustrating the robust correlation between air pollution levels and Days of Our Lives viewership count. This visual depiction truly puts the "air" in "pair," showcasing the surprising unity between these seemingly disparate variables and leaving us breathless with curiosity about the underlying mechanisms at play.

In conclusion, our findings suggest that as the air quality worsens in New York City, there is a notable increase in viewership for Days of Our Lives. It's an unexpected breath of fresh air in the field of environmental and media studies, revealing a correlation as captivating as a dramatic soap opera storyline – and just as likely to leave us on the edge of our seats, eagerly anticipating the next twist. Keep your eyes on the skies and your remotes at the ready, because it seems that the city's smog may be conspiring to draw viewers into the intoxicating fog of soap opera drama!


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Air pollution in New York City and Viewership count for Days of Our Lives. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

[[ABSTRACT]]
In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!

[[LITERATURE REVIEW]]
The literature on the relationship between air pollution and television viewership may at first glance seem as thin as city air on a smoggy day. While many studies have examined the impact of air pollution on human health and behavior, few have ventured into the realm of soap opera viewership. However, a select few pioneering works have paved the way for our current investigation.
In "How I Met Your Mother," the authors find that high levels of air pollution are associated with increased odds of tuning into soap operas. One might say the smog isn't the only thing that's soapy in the air!

Speaking of soapy air, "Gone with the Wind" suggests a link between atmospheric conditions and engagement with melodramatic television. Our findings are as compelling as a well-crafted soap opera plot twist!
Now, in a departure from non-fiction works, the fictional tome "The Catcher in the Rye" hints at the potential impact of air pollution on literary consumption. It’s almost as enigmatic as a soap opera cliffhanger!
On a more fantastical note, "A Song of Ice and Fire" by George R.R. Martin hints at a connection between air quality and engagement with fictional worlds. This correlation is as surprising as a plot twist in a soap opera!
In a turn toward unconventional sources, our extensive literature review also included perusal of grocery store receipts, where we stumbled upon a correlation between air freshener purchases and soap opera viewership. It seems the scent of fresh air is tied to fascination with soapy tales!
This comprehensive review of the literature lays the groundwork for our investigation into the unexpected relationship between air pollution and Days of Our Lives viewership. It’s safe to say that our findings are as unexpected as a character coming back from the dead in a soap opera!

[[RESULTS]]
The correlation analysis conducted revealed a strong positive relationship between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. The correlation coefficient of 0.8861488 indicated a substantial association, which is enough to make even the most seasoned statistician want to tune in for the next episode, just to see if the smog in the air whispers any more uncanny plot twists!
Furthermore, the coefficient of determination (r-squared) of 0.7852597 suggests that approximately 78.5% of the variation in Days of Our Lives viewership count can be explained by changes in air pollution levels. It's as if the murky haze of air pollution has become an unexpected character in the soap opera's dramatic storyline – talk about an atmospheric twist!
The statistical significance of the relationship was confirmed with a p-value of less than 0.01, indicating that the observed correlation is unlikely to be a result of random chance. It's almost as improbable as a coincidental amnesia plotline in a soap opera – but believe it or not, this connection is as real as the pollution in the New York City air.
Fig. 1 (to be included) displays a scatterplot illustrating the robust correlation between air pollution levels and Days of Our Lives viewership count. This visual depiction truly puts the "air" in "pair," showcasing the surprising unity between these seemingly disparate variables and leaving us breathless with curiosity about the underlying mechanisms at play.
In conclusion, our findings suggest that as the air quality worsens in New York City, there is a notable increase in viewership for Days of Our Lives. It's an unexpected breath of fresh air in the field of environmental and media studies, revealing a correlation as captivating as a dramatic soap opera storyline – and just as likely to leave us on the edge of our seats, eagerly anticipating the next twist. Keep your eyes on the skies and your remotes at the ready, because it seems that the city's smog may be conspiring to draw viewers into the intoxicating fog of soap opera drama!

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our investigation into the captivating connection between air pollution levels in New York City and the viewership count for the perennial soap opera, Days of Our Lives, has left us with a breathless appreciation for the unexpected twists and turns that can unfold in the world of research. Much like the dramatic plotlines of the soap opera itself, our findings revealed a correlation coefficient of 0.8861488 and p < 0.01, supporting the notion that as the air quality worsens, there is a noticeable surge in viewership for Days of Our Lives. It's almost as if the city's smog is penning its own soapy saga, weaving its mysterious influence into the fabric of television consumption.

Building upon the comparative body of research on the impact of air pollution on human behavior, our results align with the prior works that have hinted at the influence of atmospheric conditions on engagement with melodramatic television. The correlation we observed is as compelling as a well-crafted soap opera plot twist, and our findings add an intriguing layer to the ongoing discourse surrounding the multifaceted effects of environmental factors on human activities.

Our study echoes the insightful findings of 'How I Met Your Mother', as it suggests a similar association between high levels of air pollution and increased engagement with soap operas. It's almost as if the smog isn't the only thing that's soapy in the air – there's a dramatic narrative unfolding right before our eyes. Similarly, 'Gone with the Wind' foreshadowed the surprising connection between atmospheric conditions and fascination with melodrama, and our research serves to embolden this narrative with empirical evidence. It appears that our results are as enigmatic as a soap opera cliffhanger, leaving us eager to uncover the underlying mechanisms at play.

The statistical significance of our observed relationship, confirmed by a p-value of less than 0.01, underscores the unique and unexpected nature of our findings. This connection is as real as the pollution in the New York City air, and it adds a surprising chapter to the ongoing saga of research on the impact of environmental factors on human behavior. With an r-squared value of 0.7852597, our results suggest that approximately 78.5% of the variation in Days of Our Lives viewership count can be attributed to changes in air pollution levels. It's as if the murky haze of air pollution has become an unexpected character in the soap opera's dramatic storyline, leaving us breathless with curiosity about the underlying mechanisms at play.

In conclusion, our study not only supports the prior research on the influence of air pollution on human behavior and engagement with television programming, but it also introduces a novel and captivating dimension to the discourse. Just as a compelling soap opera keeps viewers eagerly anticipating the next plot twist, our findings leave us on the edge of our seats, eagerly awaiting further exploration into the unsuspected alliance between air pollution and soap opera viewership. Whether it's the influence of atmospheric conditions or the allure of captivating television drama, our study invites future research endeavors to delve deeper into this unexpected, yet intriguing, association. It's almost as if the smog in the air has been quietly whispering its own soapy tales, adding an unexpected and enchanting twist to our understanding of human behavior. Keep your eyes on the skies and your remotes at the ready – the captivating drama of environmental influences on media consumption is just beginning to unfold.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Air pollution in New York City and Viewership count for Days of Our Lives. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City

[[ABSTRACT]]
In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!

[[INTRDUCTION]]
Take a deep breath and brace yourself for a scientific journey that may leave you breathless. In this study, we delve into the intriguing relationship between air pollution levels in the bustling metropolis of New York City and the viewership count for the timeless soap opera, Days of Our Lives. It's quite an unexpected pairing, and the results are just as surprising as the sudden appearance of a long-lost soap opera character!
As we tiptoe our way through the labyrinth of environmental statistics and television viewership data, we couldn't help but notice the striking correlation between air pollution levels and the fascination with the dramatic lives of the citizens of Salem. It's almost as puzzling as trying to solve a soap opera mystery, only this time, the culprit isn't the butler, it's air pollution!
Our findings unveiled a statistically significant relationship with a correlation coefficient of 0.8861488 and p < 0.01 between air pollution and Days of Our Lives viewership from 1980 to 2021. It's an association so strong, it's as if the smog in the air is whispering dramatic plot twists to the citizens of New York City. It's enough to make even the most seasoned statistician do a double take, or maybe even a double episode marathon!
Now, you may be wondering, "What on earth could cause such a peculiar connection?" Well, we are left pondering whether the hustle and bustle of city life, combined with the haze of air pollution, somehow sparks an increased fascination for the escapades of the residents of Salem. It's almost as if the city's smog is secretly encouraging viewers to immerse themselves in the fictional fog of soap opera intrigue!
This study aims to shine a light on this unexpected correlation and provide a breath of fresh air to future research endeavors in the realms of environmental and media studies. Who knows, maybe our findings will inspire a new wave of air pollution-themed soap opera storylines – where the only thing thicker than the plot is the smog in the air!

[[RESULTS]]
The correlation analysis conducted revealed a strong positive relationship between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. The correlation coefficient of 0.8861488 indicated a substantial association, which is enough to make even the most seasoned statistician want to tune in for the next episode, just to see if the smog in the air whispers any more uncanny plot twists!
Furthermore, the coefficient of determination (r-squared) of 0.7852597 suggests that approximately 78.5% of the variation in Days of Our Lives viewership count can be explained by changes in air pollution levels. It's as if the murky haze of air pollution has become an unexpected character in the soap opera's dramatic storyline – talk about an atmospheric twist!
The statistical significance of the relationship was confirmed with a p-value of less than 0.01, indicating that the observed correlation is unlikely to be a result of random chance. It's almost as improbable as a coincidental amnesia plotline in a soap opera – but believe it or not, this connection is as real as the pollution in the New York City air.
Fig. 1 (to be included) displays a scatterplot illustrating the robust correlation between air pollution levels and Days of Our Lives viewership count. This visual depiction truly puts the "air" in "pair," showcasing the surprising unity between these seemingly disparate variables and leaving us breathless with curiosity about the underlying mechanisms at play.
In conclusion, our findings suggest that as the air quality worsens in New York City, there is a notable increase in viewership for Days of Our Lives. It's an unexpected breath of fresh air in the field of environmental and media studies, revealing a correlation as captivating as a dramatic soap opera storyline – and just as likely to leave us on the edge of our seats, eagerly anticipating the next twist. Keep your eyes on the skies and your remotes at the ready, because it seems that the city's smog may be conspiring to draw viewers into the intoxicating fog of soap opera drama!

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has uncovered a compelling connection between air pollution levels in New York City and the viewership count for Days of Our Lives. The substantial correlation coefficient and p < 0.01 indicate a statistically significant relationship, leaving us to ponder whether smoggy skies indeed ignite a surge in melodramatic fascination. It's as though the city's haze has breathed new life into the soap opera's viewership, making it a true "air-raising" phenomenon.

Our findings not only shed light on this curious correlation but also open the door to a realm of unexplored possibilities in environmental and media studies. It's as if the pollution in the air has become an unexpected character in the soap opera's captivating storyline – talk about an "atmospheric twist" indeed!

Now, you may be thinking, "What's next?" But fear not, as it seems that no further research is needed in this unexpected and enthralling area. We have exhaled every relevant breath of knowledge into this study, leaving us with a conclusion as clear as a sunny day in the city - or rather, a drama-filled episode of Days of Our Lives.

In the words of a true statistical whiz, "The correlation is no longer up in the air - like any good soap opera plot, it's been resolved!" It appears that the only thing left to do now is grab some popcorn, settle in front of the television, and enjoy the dramatic allure of Days of Our Lives, knowing that even the city's smog is cheering us on from above.


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 A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Environmental Entertainment Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Atmospheric Influence on Soap Opera Consumption


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 A Breath of Connection: Air Pollution and Days of Our Lives Viewership in New York City with an abstract of In this study, we took a deep breath and investigated the surprising link between air pollution levels in New York City and the viewership count for the enduring soap opera, Days of Our Lives. By analyzing data from the Environmental Protection Agency and Wikipedia, we uncovered an uncanny connection that leaves us breathless. Our findings revealed a correlation coefficient of 0.8861488 and p < 0.01 for the years spanning from 1980 to 2021, indicating a statistically significant relationship. It appears that as the air quality worsens, viewership for Days of Our Lives skyrockets, leaving us pondering whether smoggy skies spark a surge in soap opera fascination. We hope our findings breathe new life into future research endeavors, and maybe even a few soap opera scripts!

ChatGPT:

air pollution, New York City, viewership, Days of Our Lives, soap opera, Environmental Protection Agency data, correlation coefficient, statistical significance, smog, air quality

*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 New York City
Detailed data title: Percentage of days 'unhealthy' or worse air quality in New York-Newark-Jersey City, NY-NJ-PA
Source: Environmental Protection Agency
See what else correlates with Air pollution in New York City

Viewership count for Days of Our Lives
Detailed data title: Metered viewership count for Days of Our Lives
Source: Wikipedia
See what else correlates with Viewership count for Days of Our Lives

Correlation r = 0.8861488 (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 = 0.7852597 (Coefficient of determination)
This means 78.5% of the change in the one variable (i.e., Viewership count for Days of Our Lives) is predictable based on the change in the other (i.e., Air pollution in New York City) over the 42 years from 1980 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 6.1E-15. 0.0000000000000061118601664241
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 6.1E-13% of random cases. Said differently, if you correlated 163,616,308,745,669 random variables You don't actually need 163 trillion variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

p-value calculations are useful for understanding the probability of a result happening by chance. They are most useful when used to highlight the risk of a fluke outcome. For example, if you calculate a p-value of 0.30, the risk that the result is a fluke is high. It is good to know that! But there are lots of ways to get a p-value of less than 0.01, as evidenced by this project.

In this particular case, the values are so extreme as to be meaningless. That's why no one reports p-values with specificity after they drop below 0.01.

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 41 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 41 because we have two variables measured over a period of 42 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.

[ 0.8, 0.94 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

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


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

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
198019811982198319841985198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Air pollution in New York City (Bad air quality days)22.677614.794515.068518.356215.573819.452114.520513.698614.20779.5890411.780815.06856.0109311.78089.04118.493158.469948.2191812.602710.68494.918039.5890411.78084.657533.005466.02745.753426.301374.918030.2739733.287672.739731.639340.8219180.5479450.8219180.5464480.5479450.821918000.821918
Viewership count for Days of Our Lives (Nielson share)560000055000005700000710000071000007200000700000071000006500000540000052000005400000490000056000005300000580000058000005100000580000042000003800000360000031000003100000270000026000002300000210000022000002200000200000020000002100000190000020500001800000160000016000001600000140000012000001200000




Why this works

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




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([22.6776,14.7945,15.0685,18.3562,15.5738,19.4521,14.5205,13.6986,14.2077,9.58904,11.7808,15.0685,6.01093,11.7808,9.0411,8.49315,8.46994,8.21918,12.6027,10.6849,4.91803,9.58904,11.7808,4.65753,3.00546,6.0274,5.75342,6.30137,4.91803,0.273973,3.28767,2.73973,1.63934,0.821918,0.547945,0.821918,0.546448,0.547945,0.821918,0,0,0.821918,])
array_2 = np.array([5600000,5500000,5700000,7100000,7100000,7200000,7000000,7100000,6500000,5400000,5200000,5400000,4900000,5600000,5300000,5800000,5800000,5100000,5800000,4200000,3800000,3600000,3100000,3100000,2700000,2600000,2300000,2100000,2200000,2200000,2000000,2000000,2100000,1900000,2050000,1800000,1600000,1600000,1600000,1400000,1200000,1200000,])
array_1_name = "Air pollution in New York City"
array_2_name = "Viewership count for Days of Our Lives"

# 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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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."

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Correlation ID: 4132 · Black Variable ID: 20974 · Red Variable ID: 87
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