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Spurious correlation #2,547 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Popularity of the first name Jena and the second variable is Air pollution in Syracuse, New York.  The chart goes from 1980 to 2022, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the popularity of the name Jena decreased, fewer people were inclined to visit Syracuse, New York. This led to a reduction in car emissions and ultimately decreased air pollution in the city.

Model: dalle-3
Prompt: Generate an image of a minimalist city street in Syracuse, New York, featuring a crowd of people named Jena proudly displaying personalized car air fresheners with their name on them. Meanwhile, an industrial factory nearby is depicted as a simple structure emitting clouds of smoke and pollutants into the hazy air. The scene should capture the fresh yet pollution-filled mark that the popularity of the name Jena is leaving on the city, using minimalistic design elements. 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: Popularity of the first name Jena and Air pollution in Syracuse, New York. 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: inspired by bauhaus Cute cartoon a meme Hyper-realistic Minimalism
ChatGPT: Minimalism

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Popularity of the first name Jena and Air pollution in Syracuse, New York, in the following situation: As the number of people named Jena increased, so did the demand for personalized car air fresheners. This led to more production at the air freshener factory, ultimately contributing to higher levels of air pollution in Syracuse, New York. It turns out, Jena's popularity was creating quite the "fresh" dilemma for the environment.. Keep the description simple.
ChatGPT: In Syracuse, New York, a street is bustling with people named Jena, each proudly displaying personalized car air fresheners with their name on them. The air freshener factory nearby is working overtime to meet the growing demand, spewing out clouds of smoke and pollutants into the already hazy air. The popularity of the name Jena is leaving a fresh but pollution-filled mark on the city.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ Minimalism ] and depicting this scene: In Syracuse, New York, a street is bustling with people named Jena, each proudly displaying personalized car air fresheners with their name on them. The air freshener factory nearby is working overtime to meet the growing demand, spewing out clouds of smoke and pollutants into the already hazy air. The popularity of the name Jena is leaving a fresh but pollution-filled mark on the city. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a minimalist city street in Syracuse, New York, featuring a crowd of people named Jena proudly displaying personalized car air fresheners with their name on them. Meanwhile, an industrial factory nearby is depicted as a simple structure emitting clouds of smoke and pollutants into the hazy air. The scene should capture the fresh yet pollution-filled mark that the popularity of the name Jena is leaving on the city, using minimalistic design elements.

*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 Popularity of the first name Jena caused Air pollution in Syracuse, New York to decrease.

AI academic paper

(Because p < 0.01)
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

Journal of Urban Environmental Research

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 Popularity of the first name Jena and Air pollution in Syracuse, New York. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Make the title an alliteration.

Your research team used data from US Social Security Administration and Environmental Protection Agency to assess this nagging question. You found a correlation coefficient of 0.8757907 and p < 0.01 for 1980 to 2022.

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]]
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

[[ABSTRACT]]
The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.


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 Popularity of the first name Jena and Air pollution in Syracuse, New York. 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]]
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

[[ABSTRACT]]
The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The enigma of how a name can be connected to air pollution has puzzled researchers and laymen alike. In a peculiar twist of fate, the present study seeks to unravel the seemingly implausible relationship between the popularity of the first name "Jena" and the ambient air pollution levels in Syracuse, New York. While the mere mention of such a connection may evoke skepticism and furrowed brows, our research team was captivated by this offbeat inquiry and committed itself to uncovering the underlying statistical patterns that might underpin this curious correlation.

The choice of Syracuse, New York as the locus of our investigation stemmed not only from its robust historical dataset on air pollution but also from the abundance of individuals named Jena in the region. It was a veritable "Eureka" moment when we stumbled upon the potential association between a popular name and the often maligned atmospheric conditions of this bustling metropolis. As we delved into this unusual pairing, the gravity of the task became apparent, but the prospect of shedding new light on this whimsical conundrum imbued our research endeavors with a playful zest.

It is not without a raised eyebrow and a wry grin that we present our findings: an unexpectedly robust correlation coefficient of 0.8757907, significantly exceeding the anticipated magnitude, and a p-value under 0.01, paving the way for intriguing, albeit unanticipated, conclusions. As the saying goes, "the proof is in the pudding," and the statistical evidence we amassed leaves little room for dismissal of this association as mere coincidence.

This study is an embodiment of the adage "expect the unexpected," as it bridges the seemingly disparate worlds of nomenclature and atmospheric conditions. While the initial reaction may be one of bemusement, we urge the scholarly community to approach our findings with an open mind and a willingness to embrace the delightful eccentricities that occasionally grace the field of statistical inquiry.

In the pages that follow, we will embark on a rigorous exploration of our methodology, results, and the implications of this whimsical alliance, aiming to not only provoke mirth but also prompt profound contemplation of the intricate interplay between human naming trends and the environmental milieu. With this endeavour, we hope to offer a breath of fresh air in the domain of statistical analysis, while also adding a dash of levity to the oftentimes solemn discourse of academic scholarship.


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 Popularity of the first name Jena and Air pollution in Syracuse, New York. 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 cite some social media posts you read that seem to be related.

Here is the title and abstract of the paper:
[[TITLE]]
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

[[ABSTRACT]]
The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The enigma of how a name can be connected to air pollution has puzzled researchers and laymen alike. In a peculiar twist of fate, the present study seeks to unravel the seemingly implausible relationship between the popularity of the first name "Jena" and the ambient air pollution levels in Syracuse, New York. While the mere mention of such a connection may evoke skepticism and furrowed brows, our research team was captivated by this offbeat inquiry and committed itself to uncovering the underlying statistical patterns that might underpin this curious correlation.
The choice of Syracuse, New York as the locus of our investigation stemmed not only from its robust historical dataset on air pollution but also from the abundance of individuals named Jena in the region. It was a veritable "Eureka" moment when we stumbled upon the potential association between a popular name and the often maligned atmospheric conditions of this bustling metropolis. As we delved into this unusual pairing, the gravity of the task became apparent, but the prospect of shedding new light on this whimsical conundrum imbued our research endeavors with a playful zest.
It is not without a raised eyebrow and a wry grin that we present our findings: an unexpectedly robust correlation coefficient of 0.8757907, significantly exceeding the anticipated magnitude, and a p-value under 0.01, paving the way for intriguing, albeit unanticipated, conclusions. As the saying goes, "the proof is in the pudding," and the statistical evidence we amassed leaves little room for dismissal of this association as mere coincidence.
This study is an embodiment of the adage "expect the unexpected," as it bridges the seemingly disparate worlds of nomenclature and atmospheric conditions. While the initial reaction may be one of bemusement, we urge the scholarly community to approach our findings with an open mind and a willingness to embrace the delightful eccentricities that occasionally grace the field of statistical inquiry.
In the pages that follow, we will embark on a rigorous exploration of our methodology, results, and the implications of this whimsical alliance, aiming to not only provoke mirth but also prompt profound contemplation of the intricate interplay between human naming trends and the environmental milieu. With this endeavour, we hope to offer a breath of fresh air in the domain of statistical analysis, while also adding a dash of levity to the oftentimes solemn discourse of academic scholarship.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The study of the connection between the popularity of the first name "Jena" and the air pollution levels in Syracuse, New York is a subject that, until recently, remained largely unexplored in the annals of academic research. However, a smattering of curious investigations have set the stage for this offbeat inquiry, prompting a reexamination of societal nomenclature and its potential impact on environmental quality.

Smith et al. (2010) initiated this unorthodox line of inquiry in their seminal work, "Naming the Unseen: An Exploration of Nomenclature and Nefarious Airborne Noxiousness." Their meticulous analysis of birth registries and air pollutant emissions led them to tentatively propose a tenuous association between certain names and atmospheric contaminants. While met with skepticism at the time, their pioneering efforts sowed the seeds for our current investigation.

Doe and Jones (2015) delved deeper into this peculiar paradigm in "Air Pollution and Appellations: A Quirky Quandary," wherein they proffered provocative speculations regarding the whimsical interplay between nomenclature and noxious gases. Their witty yet incisive analysis captivated the academic community, igniting spirited debates and prompting scholars to revisit their assumptions about the seemingly arbitrary nature of human nomenclature.

Drawing from the realm of non-fiction literature, we find eloquent musings on the intertwined themes of environmental quality and human nomenclature. In "The Air We Breathe: A Historical Perspective," the author explores the evolution of air quality consciousness and, quite unexpectedly, waxes poetic on the potential influence of names on the state of the atmosphere. Conversely, in "Nomenclature and Beyond: Unraveling the Intricacies of Environmental Influence," the authors delve into the curiously captivating intersection of names and natural phenomena, weaving a captivating narrative that invites readers to ponder the unexpected connections between seemingly unrelated domains.

On the fiction front, the works of Dickens and Austen come to mind, as their literary masterpieces subtly evoke the essence of atmospheric conditions and the whimsical nature of nomenclature. While not explicitly addressing the correlation under consideration, their timeless narratives invoke a playful sense of serendipity that resonates with the spirit of this unconventional inquiry.

In the realm of social media, a chance encounter with an intriguing post on an obscure forum unearthed a trove of anecdotal evidence, with individuals sharing anecdotal experiences of meeting individuals named "Jena" in cities with markedly disparate air quality levels. While not borne of systematic empirical inquiry, these online snippets provided a lighthearted glimpse into the public's perceptions of this offbeat liaison between nomenclature and environmental ambiance.

Despite the initial incredulity that may greet this seemingly whimsical topic, the convergence of these eclectic sources sets the stage for a thought-provoking exploration of the peculiar relationship between the popularity of the name "Jena" and the prevailing air pollution conditions in Syracuse, New York.


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 Popularity of the first name Jena and Air pollution in Syracuse, New York. 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 US Social Security Administration and Environmental Protection Agency . You used data from 1980 to 2022

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]]
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

[[ABSTRACT]]
The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.

[[INTRODUCTION]]
The enigma of how a name can be connected to air pollution has puzzled researchers and laymen alike. In a peculiar twist of fate, the present study seeks to unravel the seemingly implausible relationship between the popularity of the first name "Jena" and the ambient air pollution levels in Syracuse, New York. While the mere mention of such a connection may evoke skepticism and furrowed brows, our research team was captivated by this offbeat inquiry and committed itself to uncovering the underlying statistical patterns that might underpin this curious correlation.
The choice of Syracuse, New York as the locus of our investigation stemmed not only from its robust historical dataset on air pollution but also from the abundance of individuals named Jena in the region. It was a veritable "Eureka" moment when we stumbled upon the potential association between a popular name and the often maligned atmospheric conditions of this bustling metropolis. As we delved into this unusual pairing, the gravity of the task became apparent, but the prospect of shedding new light on this whimsical conundrum imbued our research endeavors with a playful zest.
It is not without a raised eyebrow and a wry grin that we present our findings: an unexpectedly robust correlation coefficient of 0.8757907, significantly exceeding the anticipated magnitude, and a p-value under 0.01, paving the way for intriguing, albeit unanticipated, conclusions. As the saying goes, "the proof is in the pudding," and the statistical evidence we amassed leaves little room for dismissal of this association as mere coincidence.
This study is an embodiment of the adage "expect the unexpected," as it bridges the seemingly disparate worlds of nomenclature and atmospheric conditions. While the initial reaction may be one of bemusement, we urge the scholarly community to approach our findings with an open mind and a willingness to embrace the delightful eccentricities that occasionally grace the field of statistical inquiry.
In the pages that follow, we will embark on a rigorous exploration of our methodology, results, and the implications of this whimsical alliance, aiming to not only provoke mirth but also prompt profound contemplation of the intricate interplay between human naming trends and the environmental milieu. With this endeavour, we hope to offer a breath of fresh air in the domain of statistical analysis, while also adding a dash of levity to the oftentimes solemn discourse of academic scholarship.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Intrigued by the peculiar possibility of a connection between the popularity of the name "Jena" and the quality of air in Syracuse, New York, our research team embarked on a whimsically rigorous journey of methodology that took us through a myriad of statistical conundrums. We gathered data from the US Social Security Administration on the annual frequency of the name "Jena" from 1980 to 2022, aiming to decipher any potential trends or patterns in nomenclature that might align with fluctuations in air pollution levels. Simultaneously, we delved into the labyrinth of environmental data provided by the Environmental Protection Agency, meticulously extracting air quality metrics for the same temporal span to ascertain any serendipitous coalescence with the prevalence of this eponymous moniker.

To ensure robust and comprehensive analysis, we dusted off our trusty statistical arsenal, employing rigorous correlation analysis to investigate the potential interplay between the popularity of the first name "Jena" and ambient air quality. Leveraging advanced statistical software and an abundance of coffee, we calculated the correlation coefficient with bated breath, eagerly anticipating the unveiling of any surprising associations that might emerge from this unconventional marriage of data.

Furthermore, to fortify our findings and reinforce the veracity of our results, we employed sophisticated time series analysis to encapsulate the temporal dynamics of both the frequency of the name "Jena" and the atmospheric conditions in Syracuse. This approach allowed us to capture the whimsical ebbs and flows of nomenclature alongside the intriguing undulations of air pollution, painting a vivid statistical tableau that defies traditional expectations.

In summary, our methodology embraced the capriciousness of this peculiar pursuit, harnessing empirical data, unwavering determination, and a healthy dose of statistical creativity to unearth the unexpected connection between the popularity of the name "Jena" and the atmospheric intricacies of Syracuse, New York. The following sections will present the results of our whimsically rigorous analysis, turning the spotlight on the startling correlations and far-reaching implications that emerged from our gleefully unconventional investigation.


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 Popularity of the first name Jena and Air pollution in Syracuse, New York. 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 US Social Security Administration and Environmental Protection Agency .

For the time period 1980 to 2022, you found a correlation 0.8757907, r-squared of 0.7670094, 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]]
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

[[ABSTRACT]]
The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The enigma of how a name can be connected to air pollution has puzzled researchers and laymen alike. In a peculiar twist of fate, the present study seeks to unravel the seemingly implausible relationship between the popularity of the first name "Jena" and the ambient air pollution levels in Syracuse, New York. While the mere mention of such a connection may evoke skepticism and furrowed brows, our research team was captivated by this offbeat inquiry and committed itself to uncovering the underlying statistical patterns that might underpin this curious correlation.
The choice of Syracuse, New York as the locus of our investigation stemmed not only from its robust historical dataset on air pollution but also from the abundance of individuals named Jena in the region. It was a veritable "Eureka" moment when we stumbled upon the potential association between a popular name and the often maligned atmospheric conditions of this bustling metropolis. As we delved into this unusual pairing, the gravity of the task became apparent, but the prospect of shedding new light on this whimsical conundrum imbued our research endeavors with a playful zest.
It is not without a raised eyebrow and a wry grin that we present our findings: an unexpectedly robust correlation coefficient of 0.8757907, significantly exceeding the anticipated magnitude, and a p-value under 0.01, paving the way for intriguing, albeit unanticipated, conclusions. As the saying goes, "the proof is in the pudding," and the statistical evidence we amassed leaves little room for dismissal of this association as mere coincidence.
This study is an embodiment of the adage "expect the unexpected," as it bridges the seemingly disparate worlds of nomenclature and atmospheric conditions. While the initial reaction may be one of bemusement, we urge the scholarly community to approach our findings with an open mind and a willingness to embrace the delightful eccentricities that occasionally grace the field of statistical inquiry.
In the pages that follow, we will embark on a rigorous exploration of our methodology, results, and the implications of this whimsical alliance, aiming to not only provoke mirth but also prompt profound contemplation of the intricate interplay between human naming trends and the environmental milieu. With this endeavour, we hope to offer a breath of fresh air in the domain of statistical analysis, while also adding a dash of levity to the oftentimes solemn discourse of academic scholarship.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]
The statistical analysis of the relationship between the popularity of the first name "Jena" and air pollution levels in Syracuse, New York for the period 1980 to 2022 yielded intriguing and, dare we say, bewildering results. Our research team discovered a notably strong correlation coefficient of 0.8757907, indicating a robust association between the frequency of the name "Jena" and the atmospheric quality in this region. The r-squared value of 0.7670094 further underlined the substantial influence exerted by the popularity of this name on the prevailing air pollution levels, with a significance level of p < 0.01 solidifying the statistical significance of this unlikely connection.

In a visually striking representation of this unanticipated relationship, the inclusion of our scatterplot (Fig. 1) accentuates the unmistakable pattern of correspondence between the two variables, providing a graphical testament to the unexpected linkage between nomenclature and environmental conditions. This finding humorously begs the question: Could a Jena by any other name smell as sweet?

These results not only uphold the adage of "expect the unexpected" but also tantalizingly beckon further exploration into the whimsical interplay between naming trends and atmospheric phenomena. This unforeseen correlation insinuates that the popular lexicographical choice of "Jena" may hold more atmospheric weight than one might initially surmise, leaving a trail of wordplay and ozone in its wake.

The implications of these findings extend far beyond the perplexing allure of this unusual association, prompting contemplation of the wondrously confounding connections that may exist within the realm of statistical inquiry. This study breathes fresh air into the often staid domain of statistical analysis, injecting a spirit of playful curiosity into the scholarly discourse and challenging preconceived notions with an inexplicably named and remarkably correlated twist.


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 Popularity of the first name Jena and Air pollution in Syracuse, New York. 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]]
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

[[ABSTRACT]]
The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.

[[LITERATURE REVIEW]]
The study of the connection between the popularity of the first name "Jena" and the air pollution levels in Syracuse, New York is a subject that, until recently, remained largely unexplored in the annals of academic research. However, a smattering of curious investigations have set the stage for this offbeat inquiry, prompting a reexamination of societal nomenclature and its potential impact on environmental quality.
Smith et al. (2010) initiated this unorthodox line of inquiry in their seminal work, "Naming the Unseen: An Exploration of Nomenclature and Nefarious Airborne Noxiousness." Their meticulous analysis of birth registries and air pollutant emissions led them to tentatively propose a tenuous association between certain names and atmospheric contaminants. While met with skepticism at the time, their pioneering efforts sowed the seeds for our current investigation.
Doe and Jones (2015) delved deeper into this peculiar paradigm in "Air Pollution and Appellations: A Quirky Quandary," wherein they proffered provocative speculations regarding the whimsical interplay between nomenclature and noxious gases. Their witty yet incisive analysis captivated the academic community, igniting spirited debates and prompting scholars to revisit their assumptions about the seemingly arbitrary nature of human nomenclature.
Drawing from the realm of non-fiction literature, we find eloquent musings on the intertwined themes of environmental quality and human nomenclature. In "The Air We Breathe: A Historical Perspective," the author explores the evolution of air quality consciousness and, quite unexpectedly, waxes poetic on the potential influence of names on the state of the atmosphere. Conversely, in "Nomenclature and Beyond: Unraveling the Intricacies of Environmental Influence," the authors delve into the curiously captivating intersection of names and natural phenomena, weaving a captivating narrative that invites readers to ponder the unexpected connections between seemingly unrelated domains.
On the fiction front, the works of Dickens and Austen come to mind, as their literary masterpieces subtly evoke the essence of atmospheric conditions and the whimsical nature of nomenclature. While not explicitly addressing the correlation under consideration, their timeless narratives invoke a playful sense of serendipity that resonates with the spirit of this unconventional inquiry.
In the realm of social media, a chance encounter with an intriguing post on an obscure forum unearthed a trove of anecdotal evidence, with individuals sharing anecdotal experiences of meeting individuals named "Jena" in cities with markedly disparate air quality levels. While not borne of systematic empirical inquiry, these online snippets provided a lighthearted glimpse into the public's perceptions of this offbeat liaison between nomenclature and environmental ambiance.
Despite the initial incredulity that may greet this seemingly whimsical topic, the convergence of these eclectic sources sets the stage for a thought-provoking exploration of the peculiar relationship between the popularity of the name "Jena" and the prevailing air pollution conditions in Syracuse, New York.

[[RESULTS]]
The statistical analysis of the relationship between the popularity of the first name "Jena" and air pollution levels in Syracuse, New York for the period 1980 to 2022 yielded intriguing and, dare we say, bewildering results. Our research team discovered a notably strong correlation coefficient of 0.8757907, indicating a robust association between the frequency of the name "Jena" and the atmospheric quality in this region. The r-squared value of 0.7670094 further underlined the substantial influence exerted by the popularity of this name on the prevailing air pollution levels, with a significance level of p < 0.01 solidifying the statistical significance of this unlikely connection.
In a visually striking representation of this unanticipated relationship, the inclusion of our scatterplot (Fig. 1) accentuates the unmistakable pattern of correspondence between the two variables, providing a graphical testament to the unexpected linkage between nomenclature and environmental conditions. This finding humorously begs the question: Could a Jena by any other name smell as sweet?
These results not only uphold the adage of "expect the unexpected" but also tantalizingly beckon further exploration into the whimsical interplay between naming trends and atmospheric phenomena. This unforeseen correlation insinuates that the popular lexicographical choice of "Jena" may hold more atmospheric weight than one might initially surmise, leaving a trail of wordplay and ozone in its wake.
The implications of these findings extend far beyond the perplexing allure of this unusual association, prompting contemplation of the wondrously confounding connections that may exist within the realm of statistical inquiry. This study breathes fresh air into the often staid domain of statistical analysis, injecting a spirit of playful curiosity into the scholarly discourse and challenging preconceived notions with an inexplicably named and remarkably correlated twist.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study have illuminated a rather unexpected and whimsical relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Despite the initial incredulity that may greet such a seemingly offbeat topic, the statistical analysis has decisively upheld the prior research and provided a delightful twist to our understanding of nomenclature and atmospheric conditions.

In amusing parallel to the inklings of Smith et al. (2010) with their tentatively proposed association between certain names and atmospheric contaminants, our findings have not only supported but also fortified this notion in a statistically robust manner. Much like Doe and Jones (2015) with their provocative speculations regarding the whimsical interplay between nomenclature and noxious gases, our study has added a breath of fresh air to the discussion, quite literally, by establishing a striking correlation between the frequency of the name "Jena" and the ambient air quality in Syracuse.

The surprising strength of the correlation coefficient (0.8757907), coupled with a notably high r-squared value (0.7670094) and a significance level of p < 0.01, underscores the substantial influence exerted by the popularity of the name "Jena" on the prevailing air pollution levels. Much like a whiff of unexpected witticism, these results humorously beckon further contemplation of the whimsical interplay between naming trends and atmospheric phenomena, challenging conventional notions and injecting a playful curiosity into the scholarly discourse.

Our scatterplot (Figure 1) provides a visual testament to the unanticipated linkage between nomenclature and environmental conditions, offering a whimsical yet undeniable graphical representation of the unexpected correspondence between the frequency of the name "Jena" and the ambient air quality in Syracuse. This delightful twist in the tale of statistical inquiry not only highlights the intrinsic comedic nature of our findings but also invites further exploration into the confounding connections that may exist within this unorthodox realm.

In conclusion, these findings shed a whimsical yet compelling light on the intriguing relationship between the popularity of a name and environmental conditions. This unexpected correlation may hold more atmospheric weight than one might initially surmise, leaving a trail of wordplay and ozone in its wake, while offering a playful yet thought-provoking perspective on the peculiar interplay between societal nomenclature and atmospheric 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 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 Popularity of the first name Jena and Air pollution in Syracuse, New York. 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]]
Plight of Popular Jena: Parsing Pollution in Syracuse, New York

[[ABSTRACT]]
The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.

[[INTRDUCTION]]
The enigma of how a name can be connected to air pollution has puzzled researchers and laymen alike. In a peculiar twist of fate, the present study seeks to unravel the seemingly implausible relationship between the popularity of the first name "Jena" and the ambient air pollution levels in Syracuse, New York. While the mere mention of such a connection may evoke skepticism and furrowed brows, our research team was captivated by this offbeat inquiry and committed itself to uncovering the underlying statistical patterns that might underpin this curious correlation.
The choice of Syracuse, New York as the locus of our investigation stemmed not only from its robust historical dataset on air pollution but also from the abundance of individuals named Jena in the region. It was a veritable "Eureka" moment when we stumbled upon the potential association between a popular name and the often maligned atmospheric conditions of this bustling metropolis. As we delved into this unusual pairing, the gravity of the task became apparent, but the prospect of shedding new light on this whimsical conundrum imbued our research endeavors with a playful zest.
It is not without a raised eyebrow and a wry grin that we present our findings: an unexpectedly robust correlation coefficient of 0.8757907, significantly exceeding the anticipated magnitude, and a p-value under 0.01, paving the way for intriguing, albeit unanticipated, conclusions. As the saying goes, "the proof is in the pudding," and the statistical evidence we amassed leaves little room for dismissal of this association as mere coincidence.
This study is an embodiment of the adage "expect the unexpected," as it bridges the seemingly disparate worlds of nomenclature and atmospheric conditions. While the initial reaction may be one of bemusement, we urge the scholarly community to approach our findings with an open mind and a willingness to embrace the delightful eccentricities that occasionally grace the field of statistical inquiry.
In the pages that follow, we will embark on a rigorous exploration of our methodology, results, and the implications of this whimsical alliance, aiming to not only provoke mirth but also prompt profound contemplation of the intricate interplay between human naming trends and the environmental milieu. With this endeavour, we hope to offer a breath of fresh air in the domain of statistical analysis, while also adding a dash of levity to the oftentimes solemn discourse of academic scholarship.

[[RESULTS]]
The statistical analysis of the relationship between the popularity of the first name "Jena" and air pollution levels in Syracuse, New York for the period 1980 to 2022 yielded intriguing and, dare we say, bewildering results. Our research team discovered a notably strong correlation coefficient of 0.8757907, indicating a robust association between the frequency of the name "Jena" and the atmospheric quality in this region. The r-squared value of 0.7670094 further underlined the substantial influence exerted by the popularity of this name on the prevailing air pollution levels, with a significance level of p < 0.01 solidifying the statistical significance of this unlikely connection.
In a visually striking representation of this unanticipated relationship, the inclusion of our scatterplot (Fig. 1) accentuates the unmistakable pattern of correspondence between the two variables, providing a graphical testament to the unexpected linkage between nomenclature and environmental conditions. This finding humorously begs the question: Could a Jena by any other name smell as sweet?
These results not only uphold the adage of "expect the unexpected" but also tantalizingly beckon further exploration into the whimsical interplay between naming trends and atmospheric phenomena. This unforeseen correlation insinuates that the popular lexicographical choice of "Jena" may hold more atmospheric weight than one might initially surmise, leaving a trail of wordplay and ozone in its wake.
The implications of these findings extend far beyond the perplexing allure of this unusual association, prompting contemplation of the wondrously confounding connections that may exist within the realm of statistical inquiry. This study breathes fresh air into the often staid domain of statistical analysis, injecting a spirit of playful curiosity into the scholarly discourse and challenging preconceived notions with an inexplicably named and remarkably correlated twist.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has unveiled an unexpectedly robust and statistically significant connection between the prevalence of the first name "Jena" and the ambient air pollution levels in Syracuse, New York. The correlation coefficient of 0.8757907, along with a compelling significance level of p < 0.01, offers compelling evidence to support the existence of this whimsical relationship. This peculiar finding adds a novel dimension to the field of statistical inquiry and exemplifies the adage that truth is often stranger than fiction. The unexpected nature of this association not only piques the curiosity of researchers but also tickles the fancy of the scholarly community, encouraging a lighthearted exploration of nomenclature and its atmospheric connotations.

The implications of our results extend beyond the confines of statistical analysis, beckoning further investigation into the enigmatic interplay between human names and environmental conditions. As we contemplate the confluence of nomenclature and atmospheric phenomena, it becomes evident that this unorthodox correlation may hold broader implications for the study of human behavior and its unexpected manifestations. This study also serves as a reminder that statistical analysis, while often regarded with solemnity, can encompass whimsy and unexpected charm, infusing the academic discourse with a breath of fresh air and a hint of mirth.

In light of these findings, we assert that no further research is needed in the whimsical realm of the connection between the popularity of the first name "Jena" and air pollution in Syracuse, New York. This study stands as a jovial testament to the captivating surprises that await us in the realm of statistical inquiry, adding a delightful quirk to the tapestry of scholarly investigation. It is our hope that this research will inspire a renewed appreciation for the serendipitous idiosyncrasies of statistical analysis and spur further whimsical explorations within the field.


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 Plight of Popular Jena: Parsing Pollution in Syracuse, New York. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Urban Environmental Research


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 Plight of Popular Jena: Parsing Pollution in Syracuse, New York. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Urban Environmental Research and Analysis


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 Plight of Popular Jena: Parsing Pollution in Syracuse, New York with an abstract of The present study delves into the potentially perplexing and peculiar relationship between the popularity of the first name "Jena" and the prevailing air pollution levels in Syracuse, New York. Leveraging comprehensive data from the US Social Security Administration and the Environmental Protection Agency for the period spanning 1980 to 2022, our research team employed rigorous statistical analysis to tackle this whimsical yet thought-provoking inquiry. Our findings revealed a remarkable correlation coefficient of 0.8757907, with a significance level of p < 0.01, thereby suggesting a striking, statistically significant connection between the prevalence of the name "Jena" and the ambient air quality in this bustling city. The implications of these unexpected results are as intriguing as they are eye-opening, raising questions regarding the nuanced interplay between nomenclature and atmospheric conditions. This study sheds new light on the whimsical world of names, while also providing a breath of fresh air in the domain of statistical analysis.

ChatGPT:

Jena, popularity, air pollution, Syracuse, New York, correlation coefficient, statistical analysis, US Social Security Administration, Environmental Protection Agency, atmospheric conditions, nomenclature, ambient air quality, research findings, study implications, correlation significance, name prevalence, data analysis

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



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Data details

Popularity of the first name Jena
Detailed data title: Babies of all sexes born in the US named Jena
Source: US Social Security Administration
See what else correlates with Popularity of the first name Jena

Air pollution in Syracuse, New York
Detailed data title: Percentage of days with moderate or worse air quality in Syracuse, NY
Source: Environmental Protection Agency
See what else correlates with Air pollution in Syracuse, New York

Correlation r = 0.8757907 (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 = 0.7670094 (Coefficient of determination)
This means 76.7% of the change in the one variable (i.e., Air pollution in Syracuse, New York) is predictable based on the change in the other (i.e., Popularity of the first name Jena) over the 43 years from 1980 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.51E-14. 0.0000000000000150632453302630
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 0.88 in 1.51E-12% of random cases. Said differently, if you correlated 66,386,756,510,626 random variables You don't actually need 66 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 42 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 42 because we have two variables measured over a period of 43 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.

[ 0.78, 0.93 ] 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.
1980198119821983198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022
Popularity of the first name Jena (Babies born)205240178177492614619582505470417377429377325299302270240265217252228195211173163114115104104668152535435403937293425
Air pollution in Syracuse, New York (Bad air quality days)19.672115.890418.457313.972628.688530.578538.082239.452132.602727.397323.013730.41122.404423.287721.643817.534216.666715.068521.917824.383622.677627.397327.671223.287714.480923.835615.890419.178116.939910.684916.98639.5890413.11487.397268.7671215.34258.743177.3972612.87677.671238.7431713.42473.83562




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([205,240,178,177,492,614,619,582,505,470,417,377,429,377,325,299,302,270,240,265,217,252,228,195,211,173,163,114,115,104,104,66,81,52,53,54,35,40,39,37,29,34,25,])
array_2 = np.array([19.6721,15.8904,18.4573,13.9726,28.6885,30.5785,38.0822,39.4521,32.6027,27.3973,23.0137,30.411,22.4044,23.2877,21.6438,17.5342,16.6667,15.0685,21.9178,24.3836,22.6776,27.3973,27.6712,23.2877,14.4809,23.8356,15.8904,19.1781,16.9399,10.6849,16.9863,9.58904,13.1148,7.39726,8.76712,15.3425,8.74317,7.39726,12.8767,7.67123,8.74317,13.4247,3.83562,])
array_1_name = "Popularity of the first name Jena"
array_2_name = "Air pollution in Syracuse, New York"

# 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: 2547 · Black Variable ID: 3262 · Red Variable ID: 21320
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