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Spurious correlation #3,719 · 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 Huntsville and the second variable is The marriage rate in Alabama.  The chart goes from 1999 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As air quality improved in Huntsville, people could finally see clearer that they were better off not tying the smog! The cleaner air led to clearer thinking, making folks realize they didn't need to rush into marriage and could take their time finding the perfect match. Who knew that fresher air could lead to fewer affairs, ultimately clearing the way for a decluttered dating pool in Alabama!

Model: dalle-3
Prompt: Generate an image of a cyberpunk cityscape in Huntsville, Alabama under a clear sky. Show futuristic, neon-lit buildings towering overhead, with sleek hovercars zooming by in the background. On the sidewalks, depict couples walking hand in hand, their faces illuminated by the vibrant neon lights, each couple expressing a unique emotional connection. Some couples are deeply engaged in conversation, while others are glancing lovingly into each other's eyes. In the midst of this cyberpunk scene, convey a sense of newfound clarity and affection, capturing the essence of love either being rekindled or discovered amidst the reduced air pollution. 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 Huntsville and The marriage rate in Alabama. 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 scene from Skyrim Realistic Cybernetic art A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s Cyberpunk
ChatGPT: Cyberpunk

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 Huntsville and The marriage rate in Alabama, in the following situation: Because with less air pollution in Huntsville, people can finally see clearly and have realized they married the wrong person.. Keep the description simple.
ChatGPT: In Huntsville, Alabama, the sky is clear and the air is fresh as couples are seen walking hand in hand, gazing at each other with a newfound clarity. The reduction in air pollution has brought people together, leading some to rekindle their love and affirm their commitment, while others realize that they had been with the wrong partner.

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: [ Cyberpunk ] and depicting this scene: In Huntsville, Alabama, the sky is clear and the air is fresh as couples are seen walking hand in hand, gazing at each other with a newfound clarity. The reduction in air pollution has brought people together, leading some to rekindle their love and affirm their commitment, while others realize that they had been with the wrong partner. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a cyberpunk cityscape in Huntsville, Alabama under a clear sky. Show futuristic, neon-lit buildings towering overhead, with sleek hovercars zooming by in the background. On the sidewalks, depict couples walking hand in hand, their faces illuminated by the vibrant neon lights, each couple expressing a unique emotional connection. Some couples are deeply engaged in conversation, while others are glancing lovingly into each other's eyes. In the midst of this cyberpunk scene, convey a sense of newfound clarity and affection, capturing the essence of love either being rekindled or discovered amidst the reduced air pollution.

*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 Huntsville caused The marriage rate in Alabama to decrease. Include one good pun.

AI academic paper

(Because p < 0.01)
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

The Journal of Ecological Connections

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 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 Huntsville and The marriage rate in Alabama. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

Your research team used data from Environmental Protection Agency and CDC National Vital Statistics to assess this nagging question. You found a correlation coefficient of 0.8923703 and p < 0.01 for 1999 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]]
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

[[ABSTRACT]]
This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.


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 Huntsville and The marriage rate in Alabama. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

[[ABSTRACT]]
This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Air pollution has long been recognized as a critical environmental issue, with detrimental effects on human health and well-being. The adverse impact of air pollutants on respiratory and cardiovascular systems has been well-documented, leading to widespread efforts to mitigate pollution levels. However, what has been less explored is the potential influence of air pollution on social dynamics, particularly in the realm of romantic relationships and marriage. In this study, we embark on an unconventional journey to investigate the curious correlation between the air quality in Huntsville, Alabama, and the state's marriage rate. Who knew that gritty particulate matter and romantic entanglements could be intertwined in such an intriguing manner?

The city of Huntsville, situated in the northern reaches of Alabama, has witnessed significant industrial and economic growth over the past few decades, accompanied by an increase in air pollution levels. Simultaneously, the marriage rate in Alabama has experienced its own fluctuations, affected by a myriad of social, cultural, and economic variables. Yet, could it be that the smoggy skies of Huntsville have quietly woven their influence into the fabric of Alabamian romance? As the saying goes, "love is in the air," but in this case, it might be more accurate to say that "air pollution is in the love."

As we delve into the details of our comprehensive analysis, we aim to unravel the tangled web of factors contributing to the peculiar relationship between air pollution and marriage rates. Our inquiry is fueled by both scientific curiosity and the inexplicable allure of unexpected connections. With each statistical test and regression model, we strive to peel back the layers of this enigmatic association, all while trying to resist the temptation to make too many "hazy love" puns. Nevertheless, we approach this research with a blend of academic rigor and lightheartedness, recognizing the blend of seriousness and novelty that characterizes this endeavor.

This study not only serves to broaden our understanding of the multifaceted impacts of environmental factors but also provides a unique lens through which to contemplate the intricate interplay between societal trends and the world around us. As we present our findings, we invite readers to join us in this adventure of uncovering the unexpected threads that tie together the seemingly disparate realms of air pollution and matters of the heart. After all, in the words of Shakespeare, "The course of true love never did run smooth," and it appears that perhaps, neither does the course of air quality.


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 Huntsville and The marriage rate in Alabama. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading the backs of shampoo bottles.

Here is the title and abstract of the paper:
[[TITLE]]
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

[[ABSTRACT]]
This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Air pollution has long been recognized as a critical environmental issue, with detrimental effects on human health and well-being. The adverse impact of air pollutants on respiratory and cardiovascular systems has been well-documented, leading to widespread efforts to mitigate pollution levels. However, what has been less explored is the potential influence of air pollution on social dynamics, particularly in the realm of romantic relationships and marriage. In this study, we embark on an unconventional journey to investigate the curious correlation between the air quality in Huntsville, Alabama, and the state's marriage rate. Who knew that gritty particulate matter and romantic entanglements could be intertwined in such an intriguing manner?
The city of Huntsville, situated in the northern reaches of Alabama, has witnessed significant industrial and economic growth over the past few decades, accompanied by an increase in air pollution levels. Simultaneously, the marriage rate in Alabama has experienced its own fluctuations, affected by a myriad of social, cultural, and economic variables. Yet, could it be that the smoggy skies of Huntsville have quietly woven their influence into the fabric of Alabamian romance? As the saying goes, "love is in the air," but in this case, it might be more accurate to say that "air pollution is in the love."
As we delve into the details of our comprehensive analysis, we aim to unravel the tangled web of factors contributing to the peculiar relationship between air pollution and marriage rates. Our inquiry is fueled by both scientific curiosity and the inexplicable allure of unexpected connections. With each statistical test and regression model, we strive to peel back the layers of this enigmatic association, all while trying to resist the temptation to make too many "hazy love" puns. Nevertheless, we approach this research with a blend of academic rigor and lightheartedness, recognizing the blend of seriousness and novelty that characterizes this endeavor.
This study not only serves to broaden our understanding of the multifaceted impacts of environmental factors but also provides a unique lens through which to contemplate the intricate interplay between societal trends and the world around us. As we present our findings, we invite readers to join us in this adventure of uncovering the unexpected threads that tie together the seemingly disparate realms of air pollution and matters of the heart. After all, in the words of Shakespeare, "The course of true love never did run smooth," and it appears that perhaps, neither does the course of air quality.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "Smith et al.," the authors find lorem and ipsum. Doe and Jones also uncover additional evidence regarding the impact of environmental factors on social dynamics, albeit in a slightly more serious tone. Furthermore, the seminal work of "Environmental Factors and Social Relationships" explores the broader implications of air quality on interpersonal interactions, laying the groundwork for our investigation into the peculiar case of air pollution in Huntsville and the marriage rate in Alabama.

Turning to non-fiction literature relevant to our research, "The Economics of Love" by John Smith offers a comprehensive examination of the multifaceted influences on romantic relationships, including the intersection of environmental conditions and societal trends. In a similar vein, "Health, Wealth, and Wedlock" by Jane Doe delves into the intricate connections between physical well-being, economic factors, and the institution of marriage. These scholarly works provide a solid foundation for understanding the complex interplay of variables that shape romantic inclinations and partnership decisions.

On a more imaginative note, fiction novels such as "Love in the Time of Air Pollution" and "A Smoggy Affair" captivate readers with their whimsical exploration of love amidst polluted landscapes. While these literary works may not offer empirical evidence, they certainly inspire contemplation of the potential influence of environmental elements on romantic narratives.

In conducting our literature review, we also ventured into unconventional sources, including the backs of shampoo bottles, where we surprisingly discovered compelling insights into the aromatherapeutic effects of certain air pollutants – a tangential, yet unexpected discovery that prompted a moment of levity in our otherwise rigorous pursuit of scholarly knowledge.

While the marriage of air pollution and romantic inclinations may seem like an unlikely union, our investigation aims to shed light on the curious relationship between these two seemingly disparate realms. As we move beyond the conventional boundaries of research, our findings promise to unravel the entangled threads of air quality and matters of the heart, offering a blend of serious inquiry and lighthearted exploration.


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 Huntsville and The marriage rate in Alabama. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency and CDC National Vital Statistics . You used data from 1999 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]]
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

[[ABSTRACT]]
This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.

[[INTRODUCTION]]
Air pollution has long been recognized as a critical environmental issue, with detrimental effects on human health and well-being. The adverse impact of air pollutants on respiratory and cardiovascular systems has been well-documented, leading to widespread efforts to mitigate pollution levels. However, what has been less explored is the potential influence of air pollution on social dynamics, particularly in the realm of romantic relationships and marriage. In this study, we embark on an unconventional journey to investigate the curious correlation between the air quality in Huntsville, Alabama, and the state's marriage rate. Who knew that gritty particulate matter and romantic entanglements could be intertwined in such an intriguing manner?
The city of Huntsville, situated in the northern reaches of Alabama, has witnessed significant industrial and economic growth over the past few decades, accompanied by an increase in air pollution levels. Simultaneously, the marriage rate in Alabama has experienced its own fluctuations, affected by a myriad of social, cultural, and economic variables. Yet, could it be that the smoggy skies of Huntsville have quietly woven their influence into the fabric of Alabamian romance? As the saying goes, "love is in the air," but in this case, it might be more accurate to say that "air pollution is in the love."
As we delve into the details of our comprehensive analysis, we aim to unravel the tangled web of factors contributing to the peculiar relationship between air pollution and marriage rates. Our inquiry is fueled by both scientific curiosity and the inexplicable allure of unexpected connections. With each statistical test and regression model, we strive to peel back the layers of this enigmatic association, all while trying to resist the temptation to make too many "hazy love" puns. Nevertheless, we approach this research with a blend of academic rigor and lightheartedness, recognizing the blend of seriousness and novelty that characterizes this endeavor.
This study not only serves to broaden our understanding of the multifaceted impacts of environmental factors but also provides a unique lens through which to contemplate the intricate interplay between societal trends and the world around us. As we present our findings, we invite readers to join us in this adventure of uncovering the unexpected threads that tie together the seemingly disparate realms of air pollution and matters of the heart. After all, in the words of Shakespeare, "The course of true love never did run smooth," and it appears that perhaps, neither does the course of air quality.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
Our research team embarked on a virtual scavenger hunt across the vast expanse of the internet to collect a plethora of data on air pollution levels and marriage rates. After traversing the digital wilderness, we gathered relevant information primarily from the Environmental Protection Agency's Air Quality System and the CDC National Vital Statistics System. These esteemed sources offered a treasure trove of data spanning the years from 1999 to 2021, providing us with a rich tapestry of insights into the atmospheric conditions of Huntsville and the amorous escapades of the Alabamian populace.

Air Pollution Metrics:
To quantify the atmospheric nuances of Huntsville, we harnessed an array of air quality metrics, including concentrations of particulate matter (PM2.5 and PM10), nitrogen dioxide (NO2), sulfur dioxide (SO2), carbon monoxide (CO), and ozone. With these metrics in hand, we painted a detailed portrait of the atmospheric composition, akin to capturing the subtle nuances of a messy love triangle between various air pollutants.

Marriage Rate Calculations:
Unraveling the relational dynamics of Alabamian matrimony involved delving into the statistical tapestry of marriage rates. We meticulously extracted data on the number of marriages per capita in the great state of Alabama, navigating through the whims and fancies of nuptial celebrations to compile a comprehensive picture of the intricate dance of love and commitment.

Statistical Analysis and Modeling:
Armed with a cornucopia of data points, we harnessed the power of statistical wizardry to unravel the enigmatic connection betwixt air pollution and marriage rates. Employing robust correlation analyses, we unearthed the extent of the bond between these seemingly disparate dimensions. Moreover, we summoned the arcane arts of regression modeling to disentangle the complex web of confounding variables, weaving a statistical tapestry that depicts the intricate interplay of environmental factors and matters of the heart. Our methods were as rigorous as navigating a labyrinthine love letter, ensuring that our findings resonate with both scholarly precision and a hint of whimsy.

Ethical Considerations:
As we embarked on this illuminating quest for knowledge, we held steadfastly to the ethical standards of scientific inquiry, respecting the sanctity of data privacy and the integrity of academic discourse. Our research endeavors were guided by the twin beacons of academic integrity and a dash of mirth, ensuring that all scholarly pursuits were conducted with the utmost respect for both the data and the idiosyncrasies of our whimsical exploration.

In conclusion, our research methods were akin to embarking on a splendidly absurd odyssey through the landscape of statistical analysis, where the thrill of discovery intertwined with the seriousness of scholarly pursuit. With these methodological steps firmly in place, we endeavored to shed light on the intricacies of air pollution and romance, embracing the peculiar interplay of scientific inquiry and the allure of unexpected connections.


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 Huntsville and The marriage rate in Alabama. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

For the time period 1999 to 2021, you found a correlation 0.8923703, r-squared of 0.7963248, 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]]
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

[[ABSTRACT]]
This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Air pollution has long been recognized as a critical environmental issue, with detrimental effects on human health and well-being. The adverse impact of air pollutants on respiratory and cardiovascular systems has been well-documented, leading to widespread efforts to mitigate pollution levels. However, what has been less explored is the potential influence of air pollution on social dynamics, particularly in the realm of romantic relationships and marriage. In this study, we embark on an unconventional journey to investigate the curious correlation between the air quality in Huntsville, Alabama, and the state's marriage rate. Who knew that gritty particulate matter and romantic entanglements could be intertwined in such an intriguing manner?
The city of Huntsville, situated in the northern reaches of Alabama, has witnessed significant industrial and economic growth over the past few decades, accompanied by an increase in air pollution levels. Simultaneously, the marriage rate in Alabama has experienced its own fluctuations, affected by a myriad of social, cultural, and economic variables. Yet, could it be that the smoggy skies of Huntsville have quietly woven their influence into the fabric of Alabamian romance? As the saying goes, "love is in the air," but in this case, it might be more accurate to say that "air pollution is in the love."
As we delve into the details of our comprehensive analysis, we aim to unravel the tangled web of factors contributing to the peculiar relationship between air pollution and marriage rates. Our inquiry is fueled by both scientific curiosity and the inexplicable allure of unexpected connections. With each statistical test and regression model, we strive to peel back the layers of this enigmatic association, all while trying to resist the temptation to make too many "hazy love" puns. Nevertheless, we approach this research with a blend of academic rigor and lightheartedness, recognizing the blend of seriousness and novelty that characterizes this endeavor.
This study not only serves to broaden our understanding of the multifaceted impacts of environmental factors but also provides a unique lens through which to contemplate the intricate interplay between societal trends and the world around us. As we present our findings, we invite readers to join us in this adventure of uncovering the unexpected threads that tie together the seemingly disparate realms of air pollution and matters of the heart. After all, in the words of Shakespeare, "The course of true love never did run smooth," and it appears that perhaps, neither does the course of air quality.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our analysis revealed a striking correlation between air pollution levels in Huntsville and the marriage rate in Alabama. The correlation coefficient, determined to be 0.8923703, indicates a strong positive relationship between these two variables. This implies that as air pollution in Huntsville increased or decreased, the marriage rate in Alabama followed suit. In more statistical terms, the r-squared value of 0.7963248 suggests that approximately 79.6% of the variability in the marriage rate can be explained by changes in air pollution levels.

It seems that love truly is in the air, or rather, air pollution seems to be in the love. The statistically significant p-value of less than 0.01 underscores the robustness of this connection, providing compelling evidence for the influence of air quality on romantic tendencies in the state of Alabama. The figure (Fig. 1) included in this paper visually represents this surprising relationship, resembling the trajectory of a romantic comedy with its ups and downs.

This unexpected correlation challenges traditional perceptions of environmental factors, highlighting the need to consider not only health and economic impacts but also social and cultural repercussions of air pollution. These findings prompt us to reflect on the intricate interplay between environmental conditions and societal behaviors.

Further research into the mechanisms underlying this association will be crucial in developing targeted interventions to safeguard both air quality and the romantic pursuits of Alabamians. As we navigate through this unanticipated intersection of air pollution and matrimonial trends, we find ourselves compelled to acknowledge the whimsical nature of statistical discoveries. Much like a romantic relationship, the pursuit of scientific understanding often leads us down unforeseen paths, with each twist and turn adding to the colorful tapestry of knowledge.

In conclusion, this study illuminates the unanticipated yet compelling relationship between air pollution in Huntsville and the marriage rate in Alabama, inviting further inquiry into the whimsical intertwining of environmental and societal dynamics.


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 Huntsville and The marriage rate in Alabama. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

[[ABSTRACT]]
This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.

[[LITERATURE REVIEW]]
In "Smith et al.," the authors find lorem and ipsum. Doe and Jones also uncover additional evidence regarding the impact of environmental factors on social dynamics, albeit in a slightly more serious tone. Furthermore, the seminal work of "Environmental Factors and Social Relationships" explores the broader implications of air quality on interpersonal interactions, laying the groundwork for our investigation into the peculiar case of air pollution in Huntsville and the marriage rate in Alabama.
Turning to non-fiction literature relevant to our research, "The Economics of Love" by John Smith offers a comprehensive examination of the multifaceted influences on romantic relationships, including the intersection of environmental conditions and societal trends. In a similar vein, "Health, Wealth, and Wedlock" by Jane Doe delves into the intricate connections between physical well-being, economic factors, and the institution of marriage. These scholarly works provide a solid foundation for understanding the complex interplay of variables that shape romantic inclinations and partnership decisions.
On a more imaginative note, fiction novels such as "Love in the Time of Air Pollution" and "A Smoggy Affair" captivate readers with their whimsical exploration of love amidst polluted landscapes. While these literary works may not offer empirical evidence, they certainly inspire contemplation of the potential influence of environmental elements on romantic narratives.
In conducting our literature review, we also ventured into unconventional sources, including the backs of shampoo bottles, where we surprisingly discovered compelling insights into the aromatherapeutic effects of certain air pollutants – a tangential, yet unexpected discovery that prompted a moment of levity in our otherwise rigorous pursuit of scholarly knowledge.
While the marriage of air pollution and romantic inclinations may seem like an unlikely union, our investigation aims to shed light on the curious relationship between these two seemingly disparate realms. As we move beyond the conventional boundaries of research, our findings promise to unravel the entangled threads of air quality and matters of the heart, offering a blend of serious inquiry and lighthearted exploration.

[[RESULTS]]
The results of our analysis revealed a striking correlation between air pollution levels in Huntsville and the marriage rate in Alabama. The correlation coefficient, determined to be 0.8923703, indicates a strong positive relationship between these two variables. This implies that as air pollution in Huntsville increased or decreased, the marriage rate in Alabama followed suit. In more statistical terms, the r-squared value of 0.7963248 suggests that approximately 79.6% of the variability in the marriage rate can be explained by changes in air pollution levels.
It seems that love truly is in the air, or rather, air pollution seems to be in the love. The statistically significant p-value of less than 0.01 underscores the robustness of this connection, providing compelling evidence for the influence of air quality on romantic tendencies in the state of Alabama. The figure (Fig. 1) included in this paper visually represents this surprising relationship, resembling the trajectory of a romantic comedy with its ups and downs.
This unexpected correlation challenges traditional perceptions of environmental factors, highlighting the need to consider not only health and economic impacts but also social and cultural repercussions of air pollution. These findings prompt us to reflect on the intricate interplay between environmental conditions and societal behaviors.
Further research into the mechanisms underlying this association will be crucial in developing targeted interventions to safeguard both air quality and the romantic pursuits of Alabamians. As we navigate through this unanticipated intersection of air pollution and matrimonial trends, we find ourselves compelled to acknowledge the whimsical nature of statistical discoveries. Much like a romantic relationship, the pursuit of scientific understanding often leads us down unforeseen paths, with each twist and turn adding to the colorful tapestry of knowledge.
In conclusion, this study illuminates the unanticipated yet compelling relationship between air pollution in Huntsville and the marriage rate in Alabama, inviting further inquiry into the whimsical intertwining of environmental and societal dynamics.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The entanglement of air pollution and the marriage rate in Alabama unravels a captivating narrative that intertwines environmental factors with societal behaviors. Our study has added another layer to the ongoing saga of statistical discoveries, unveiling the unanticipated relationship between these seemingly disparate realms. The remarkable correlation coefficient of 0.8923703 and the p-value of less than 0.01 affirm the robustness of this association, providing empirical support for the whimsical intertwining of air quality and romantic inclinations in the heart of the South.

Our findings align with prior research that has hinted at the potential influence of environmental conditions on social dynamics. While earlier studies approached this intersection with varying degrees of seriousness, our discovery lends credence to the notion that matters of the heart may indeed be touched by the invisible hand of air pollution. The quirky insights from unconventional sources, including the backs of shampoo bottles, may not have seemed immediately relevant, but they have now added a whiff of whimsy to our scholarly pursuit. After all, who would have thought that a casual glance at a shampoo bottle could provide a moment of levity and unveil the potential aromatherapeutic effects of certain air pollutants?

The unexpected correlation we have uncovered challenges traditional perceptions and adds a layer of complexity to the already nuanced field of environmental impact. It seems that love truly does have its own atmospheric conditions, and the intricate interplay between air pollution and matrimonial trends mirrors the twists and turns of a romantic comedy. As we move forward, it will be essential to investigate the underlying mechanisms of this relationship, delving into the factors that drive the influence of air quality on romantic proclivities. This pursuit promises to be as intriguing as following the plotlines of a captivating novel, with each revelation adding depth to the narrative of our understanding.

The statistical significance of our results beckons us to consider the broader implications of air pollution not only in health and economic terms but also in the realm of social and cultural dynamics. Love, it seems, may indeed be in the air, and air pollution may be in the love. This whimsical observation encapsulates the essence of our findings – a blend of serious inquiry and lighthearted exploration that adds a touch of color to the fabric of scholarly knowledge. Our study underscores the need for further inquiry into the complex relationships that shape societal behavior and environmental conditions, inviting future researchers to navigate the unanticipated intersections with an open mind and a keen eye for unexpected connections.


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 Huntsville and The marriage rate in Alabama. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama

[[ABSTRACT]]
This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.

[[INTRDUCTION]]
Air pollution has long been recognized as a critical environmental issue, with detrimental effects on human health and well-being. The adverse impact of air pollutants on respiratory and cardiovascular systems has been well-documented, leading to widespread efforts to mitigate pollution levels. However, what has been less explored is the potential influence of air pollution on social dynamics, particularly in the realm of romantic relationships and marriage. In this study, we embark on an unconventional journey to investigate the curious correlation between the air quality in Huntsville, Alabama, and the state's marriage rate. Who knew that gritty particulate matter and romantic entanglements could be intertwined in such an intriguing manner?
The city of Huntsville, situated in the northern reaches of Alabama, has witnessed significant industrial and economic growth over the past few decades, accompanied by an increase in air pollution levels. Simultaneously, the marriage rate in Alabama has experienced its own fluctuations, affected by a myriad of social, cultural, and economic variables. Yet, could it be that the smoggy skies of Huntsville have quietly woven their influence into the fabric of Alabamian romance? As the saying goes, "love is in the air," but in this case, it might be more accurate to say that "air pollution is in the love."
As we delve into the details of our comprehensive analysis, we aim to unravel the tangled web of factors contributing to the peculiar relationship between air pollution and marriage rates. Our inquiry is fueled by both scientific curiosity and the inexplicable allure of unexpected connections. With each statistical test and regression model, we strive to peel back the layers of this enigmatic association, all while trying to resist the temptation to make too many "hazy love" puns. Nevertheless, we approach this research with a blend of academic rigor and lightheartedness, recognizing the blend of seriousness and novelty that characterizes this endeavor.
This study not only serves to broaden our understanding of the multifaceted impacts of environmental factors but also provides a unique lens through which to contemplate the intricate interplay between societal trends and the world around us. As we present our findings, we invite readers to join us in this adventure of uncovering the unexpected threads that tie together the seemingly disparate realms of air pollution and matters of the heart. After all, in the words of Shakespeare, "The course of true love never did run smooth," and it appears that perhaps, neither does the course of air quality.

[[RESULTS]]
The results of our analysis revealed a striking correlation between air pollution levels in Huntsville and the marriage rate in Alabama. The correlation coefficient, determined to be 0.8923703, indicates a strong positive relationship between these two variables. This implies that as air pollution in Huntsville increased or decreased, the marriage rate in Alabama followed suit. In more statistical terms, the r-squared value of 0.7963248 suggests that approximately 79.6% of the variability in the marriage rate can be explained by changes in air pollution levels.
It seems that love truly is in the air, or rather, air pollution seems to be in the love. The statistically significant p-value of less than 0.01 underscores the robustness of this connection, providing compelling evidence for the influence of air quality on romantic tendencies in the state of Alabama. The figure (Fig. 1) included in this paper visually represents this surprising relationship, resembling the trajectory of a romantic comedy with its ups and downs.
This unexpected correlation challenges traditional perceptions of environmental factors, highlighting the need to consider not only health and economic impacts but also social and cultural repercussions of air pollution. These findings prompt us to reflect on the intricate interplay between environmental conditions and societal behaviors.
Further research into the mechanisms underlying this association will be crucial in developing targeted interventions to safeguard both air quality and the romantic pursuits of Alabamians. As we navigate through this unanticipated intersection of air pollution and matrimonial trends, we find ourselves compelled to acknowledge the whimsical nature of statistical discoveries. Much like a romantic relationship, the pursuit of scientific understanding often leads us down unforeseen paths, with each twist and turn adding to the colorful tapestry of knowledge.
In conclusion, this study illuminates the unanticipated yet compelling relationship between air pollution in Huntsville and the marriage rate in Alabama, inviting further inquiry into the whimsical intertwining of environmental and societal dynamics.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our findings demonstrate a remarkably robust correlation between air pollution levels in Huntsville and the marriage rate in Alabama. The substantial correlation coefficient of 0.8923703 defies conventional expectations, pointing to the intriguing interplay between environmental quality and romantic inclinations. While the causal mechanisms underlying this relationship remain to be fully elucidated, the strength of this association emphasizes the need for a deeper exploration into the hazy intersection of air pollution and matters of the heart.

The statistically significant p-value further bolsters the validity of our results, reinforcing the notion that love, indeed, may be in the air, albeit in the form of atmospheric pollutants. The visual representation of this connection resembles a captivating romantic comedy, with its peaks and valleys mirroring the ebb and flow of both air quality and matrimonial trends. It is as if the smog in the skies of Huntsville whispers tales of both love and pollution, weaving an unexpected narrative that captivates the imagination.

As we chart this unanticipated nexus between air pollution and marriage rates, we cannot help but acknowledge the idiosyncratic nature of statistical discoveries. Just as love itself defies simple explanations, so too does the convoluted dance between air quality and societal behavior. Our exploration sheds light on the whimsical side of scientific inquiry, inviting us to contemplate the enigmatic connections that underpin our world.

In light of these revelatory findings, it is tempting to ponder the potential applications of our research. Could targeted interventions to improve air quality inadvertently spur romantic fervor among Alabamians? While such speculations may stray into the realm of whimsy, they underscore the far-reaching implications of our results. From the dust of industrial growth to the nuances of human relationships, our study unravels a tapestry of unexpected ties, reminding us that even the most unlikely of partners can find themselves entwined in a statistical waltz.

In the grand scheme of scientific inquiry, our foray into the correlation between air pollution in Huntsville and the marriage rate in Alabama offers a glimpse into the playfulness of numbers and the intricacy of social phenomena. Yet, as much as we savor the unconventional charm of this discovery, we must acknowledge the limitations of our study and the need for cautious interpretation. While the allure of love and pollution may captivate our imagination, further research in this area may prove redundant, as this investigation has shed considerable light on the quirky interplay between environmental and societal variables.


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 Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Ecological Connections


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 Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Society and Environmental Patterns


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 Polluted Love: Unveiling the Relationship Between Air Pollution in Huntsville and the Marriage Rate in Alabama with an abstract of This paper presents the findings of a comprehensive research study investigating the intriguing connection between air pollution in Huntsville and the marriage rate in Alabama. Using data from the Environmental Protection Agency and the CDC National Vital Statistics, we conducted a rigorous statistical analysis to unveil the underlying relationship between these two seemingly unrelated variables. The results reveal a remarkably strong correlation coefficient of 0.8923703 and a p-value of less than 0.01 for the period from 1999 to 2021. Our findings not only shed light on the potential impact of air pollution on the romantic inclinations of Alabamians but also underscore the need for further exploration of the quirky intertwining of environmental factors and societal trends.

ChatGPT:

air pollution Huntsville, marriage rate Alabama, air pollution impact on marriage, environmental factors and marriage rate, correlation between air pollution and marriage, CDC National Vital Statistics, EPA air pollution data, statistical analysis marriage rate, environmental impact on societal trends

*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 Huntsville
Detailed data title: Percentage of days with air quality at 'unhealthy for sensitive groups' or worse in Huntsville, AL
Source: Environmental Protection Agency
See what else correlates with Air pollution in Huntsville

The marriage rate in Alabama
Source: CDC National Vital Statistics
See what else correlates with The marriage rate in Alabama

Correlation r = 0.8923703 (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 = 0.7963248 (Coefficient of determination)
This means 79.6% of the change in the one variable (i.e., The marriage rate in Alabama) is predictable based on the change in the other (i.e., Air pollution in Huntsville) over the 23 years from 1999 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.06E-8. 0.0000000105743697123567600000
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 1.06E-6% of random cases. Said differently, if you correlated 94,568,284 random variables You don't actually need 94 million 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 22 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 22 because we have two variables measured over a period of 23 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.

[ 0.76, 0.95 ] 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.
19992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Air pollution in Huntsville (Bad air quality days)13.18689.836074.39567.123296.02743.287675.769233.86746.868132.459020.2865331.194031.208464.142010000.300300.273973000.560224
The marriage rate in Alabama (Marriage rate)10.810.19.49.99.69.49.29.28.98.68.38.28.48.27.817797.806787.351547.147827.047346.760416.697697.16857.57757




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. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




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([13.1868,9.83607,4.3956,7.12329,6.0274,3.28767,5.76923,3.8674,6.86813,2.45902,0.286533,1.19403,1.20846,4.14201,0,0,0,0.3003,0,0.273973,0,0,0.560224,])
array_2 = np.array([10.8,10.1,9.4,9.9,9.6,9.4,9.2,9.2,8.9,8.6,8.3,8.2,8.4,8.2,7.81779,7.80678,7.35154,7.14782,7.04734,6.76041,6.69769,7.1685,7.57757,])
array_1_name = "Air pollution in Huntsville"
array_2_name = "The marriage rate in Alabama"

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

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



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

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

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Correlation ID: 3719 · Black Variable ID: 20731 · Red Variable ID: 19738
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