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Spurious correlation #5,285 · 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 Jenny and the second variable is Air pollution in Hartford, Connecticut.  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 Jenny decreased, so did the number of people singing “867-5309/Jenny” by Tommy Tutone. This led to a reduction in outdoor gatherings, ultimately decreasing the amount of hot air being released. With fewer social events, there was less need for transportation, resulting in a noticeable decrease in air pollution in Hartford. It seems like the connection between Jenny and cleaner air was simply a matter of hitting the right note!

Model: dalle-3
Prompt: Generate an image of a futuristic park in Hartford, Connecticut, with a central focus on Jenny standing under a tree. The scene should portray a small group of friends singing "867-5309/Jenny" by Tommy Tutone, with Jenny looking dejected. The park should be surrounded by clear blue skies, hinting at the reduction in air pollution due to fewer cars on the road. The futuristic elements could include sleek and modern park structures, clean and sustainable energy sources like solar panels, and perhaps futuristic transportation alternatives subtly integrated into the background. 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 Jenny and Air pollution in Hartford, Connecticut. 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: Futuristic Sci-fi fantacy Cutsy art illustration Cutsy art illustration Oragami
ChatGPT: Futuristic

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 Jenny and Air pollution in Hartford, Connecticut, in the following situation: As the popularity of the name Jenny decreased, so did the number of people singing “867-5309/Jenny” by Tommy Tutone. This led to a reduction in outdoor gatherings, ultimately decreasing the amount of hot air being released. With fewer social events, there was less need for transportation, resulting in a noticeable decrease in air pollution in Hartford. It seems like the connection between Jenny and cleaner air was simply a matter of hitting the right note!. Keep the description simple.
ChatGPT: In a park in Hartford, Connecticut, a group of friends gathered. Jenny, whose popularity had declined, stood under a tree, surrounded by fewer people singing "867-5309/Jenny" by Tommy Tutone. The decrease in outdoor gatherings led to fewer cars on the road, reducing air pollution in the city. The clear blue skies above the park hinted at the connections between Jenny's popularity and the cleaner air, as the sounds of harmonizing voices were no longer as prevalent.

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: [ Futuristic ] and depicting this scene: In a park in Hartford, Connecticut, a group of friends gathered. Jenny, whose popularity had declined, stood under a tree, surrounded by fewer people singing "867-5309/Jenny" by Tommy Tutone. The decrease in outdoor gatherings led to fewer cars on the road, reducing air pollution in the city. The clear blue skies above the park hinted at the connections between Jenny's popularity and the cleaner air, as the sounds of harmonizing voices were no longer as prevalent. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a futuristic park in Hartford, Connecticut, with a central focus on Jenny standing under a tree. The scene should portray a small group of friends singing "867-5309/Jenny" by Tommy Tutone, with Jenny looking dejected. The park should be surrounded by clear blue skies, hinting at the reduction in air pollution due to fewer cars on the road. The futuristic elements could include sleek and modern park structures, clean and sustainable energy sources like solar panels, and perhaps futuristic transportation alternatives subtly integrated into the background.

*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 Jenny caused Air pollution in Hartford, Connecticut to decrease. Include one good pun.

AI academic paper

(Because p < 0.01)
The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?

The International Journal of Atmospheric Anomalies

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 Jenny and Air pollution in Hartford, Connecticut. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title seem clever.

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 0.9023381 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]]
"The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?"

[[ABSTRACT]]
In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.

It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"

This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.


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 Jenny and Air pollution in Hartford, Connecticut. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
"The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?"

[[ABSTRACT]]
In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.

It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"

This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The intersection of statistical analysis and whimsy has always been a bustling thoroughfare for curious researchers, leading us down unexpected avenues of inquiry. In this study, we venture into the realm of naming trends and atmospheric quality to explore the eyebrow-raising relationship between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. As we embark on this delightful journey, we aim to shed light on the correlation between an endearing name and the invisible yet impactful presence of air pollutants.

Now, take a deep breath in and get ready for a pun-derful experience! It seems that the tables have turned and we’re not just studying atmospheric air – we’re also discussing the air of popularity surrounding the name "Jenny." If this doesn't blow you away, perhaps our findings will!

First, let's set the stage by acknowledging the unexpected nature of our research topic. At first glance, one might wonder what possible connection could exist between a first name and air pollution, but that's exactly where the devil lies – or should we say, the data? One thing's for sure: we’re not just whistling dixie here. Our findings are as real as the air we breathe (literally and figuratively).

It’s a well-known fact that economics and medical research often go hand in hand, but who could have guessed that the popularity of a name might be an influential variable in measuring air quality? As we uncover the "Jenny Effect," we invite you to be the judges of whether this is a breath of fresh air for statistical research or simply a name blowing in the wind.

As we dig deeper into the data, it becomes clear that the correlation coefficient of 0.9023381 should give us the same satisfaction as a perfectly timed dad joke – confidently present, yet still a delightful surprise. It’s almost as if the research deities themselves were on our side, saying, "Hey, Jenny, look what we stumbled upon!"

As we embark on this statistical adventure, we encourage you to keep an open mind and a lighthearted spirit, for the world of research is not all just "hertz" and "t-tests." Sometimes, a cleverly named variable can lead us to breathtaking discoveries – and we’re not just "polluting" the scientific community with jokes!


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 Jenny and Air pollution in Hartford, Connecticut. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a few real TV shows that sound like they might be relevant to the topic that you watched as research.

Here is the title and abstract of the paper:
[[TITLE]]
"The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?"

[[ABSTRACT]]
In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.

It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"

This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The intersection of statistical analysis and whimsy has always been a bustling thoroughfare for curious researchers, leading us down unexpected avenues of inquiry. In this study, we venture into the realm of naming trends and atmospheric quality to explore the eyebrow-raising relationship between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. As we embark on this delightful journey, we aim to shed light on the correlation between an endearing name and the invisible yet impactful presence of air pollutants.
Now, take a deep breath in and get ready for a pun-derful experience! It seems that the tables have turned and we’re not just studying atmospheric air – we’re also discussing the air of popularity surrounding the name "Jenny." If this doesn't blow you away, perhaps our findings will!
First, let's set the stage by acknowledging the unexpected nature of our research topic. At first glance, one might wonder what possible connection could exist between a first name and air pollution, but that's exactly where the devil lies – or should we say, the data? One thing's for sure: we’re not just whistling dixie here. Our findings are as real as the air we breathe (literally and figuratively).
It’s a well-known fact that economics and medical research often go hand in hand, but who could have guessed that the popularity of a name might be an influential variable in measuring air quality? As we uncover the "Jenny Effect," we invite you to be the judges of whether this is a breath of fresh air for statistical research or simply a name blowing in the wind.
As we dig deeper into the data, it becomes clear that the correlation coefficient of 0.9023381 should give us the same satisfaction as a perfectly timed dad joke – confidently present, yet still a delightful surprise. It’s almost as if the research deities themselves were on our side, saying, "Hey, Jenny, look what we stumbled upon!"
As we embark on this statistical adventure, we encourage you to keep an open mind and a lighthearted spirit, for the world of research is not all just "hertz" and "t-tests." Sometimes, a cleverly named variable can lead us to breathtaking discoveries – and we’re not just "polluting" the scientific community with jokes!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Previous studies have laid the groundwork for our investigation into the connection between naming trends and environmental quality. In "Smith et al.," the authors find evidence suggesting that the social and cultural trends associated with certain names may have unforeseen impacts on local environmental factors. Furthermore, "Doe and Jones" explore the psychological and behavioral implications of name popularity, shedding light on the intriguing ways in which names can influence various aspects of our lives. Meanwhile, "Jenkins and Brown" delve into the historical and geographical variations in naming conventions, providing a comprehensive overview of the dynamics at play.

Now, let's take a comedic turn and address the elephant in the room – or rather, the "Jenny" in the atmosphere! It's quite an "aerifying" idea, isn't it? One might say that the correlation we found really took our breath away – but not in a good way. The air pollution levels seem to be rising as rapidly as the popularity of the name "Jenny." It's almost as if every "Jenny" that came into existence caused a little puff of pollution to appear out of thin air. Speaking of thin air, we're not just blowing hot air when we say that our findings are as intriguing as a breeze on a warm summer day.

In the realm of non-fiction literature, works such as "The Air We Breathe: A Comprehensive Analysis" and "Names and Society: A Cultural Perspective" lay the groundwork for a deeper understanding of our curious conundrum. On the other hand, fiction books with titles like "The Jenny Chronicles" and "Pollution and the City: A Tale of Two Airs" invite readers to ponder the whimsical possibilities of our research topic. And who could forget the classic TV shows "The Jenny Files" and "Air Pollution Detectives," which have undoubtedly served as both sources of entertainment and inspiration for our scholarly pursuits?

As we navigate through this peculiar landscape of statistical inquiry, it's important to remember that even the most unexpected correlations can reveal profound insights. Our study serves as a testament to the whimsical nature of research, reminding us that the world of academia is not all seriousness and highbrow discourse. Sometimes, a dash of humor and a touch of quirkiness are just what we need to breathe new life into statistical analysis. And if you find yourself struggling to grasp the intricacies of our findings, just remember – it's all in the name of science!


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 Jenny and Air pollution in Hartford, Connecticut. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from 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]]
"The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?"

[[ABSTRACT]]
In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.

It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"

This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.

[[INTRODUCTION]]
The intersection of statistical analysis and whimsy has always been a bustling thoroughfare for curious researchers, leading us down unexpected avenues of inquiry. In this study, we venture into the realm of naming trends and atmospheric quality to explore the eyebrow-raising relationship between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. As we embark on this delightful journey, we aim to shed light on the correlation between an endearing name and the invisible yet impactful presence of air pollutants.
Now, take a deep breath in and get ready for a pun-derful experience! It seems that the tables have turned and we’re not just studying atmospheric air – we’re also discussing the air of popularity surrounding the name "Jenny." If this doesn't blow you away, perhaps our findings will!
First, let's set the stage by acknowledging the unexpected nature of our research topic. At first glance, one might wonder what possible connection could exist between a first name and air pollution, but that's exactly where the devil lies – or should we say, the data? One thing's for sure: we’re not just whistling dixie here. Our findings are as real as the air we breathe (literally and figuratively).
It’s a well-known fact that economics and medical research often go hand in hand, but who could have guessed that the popularity of a name might be an influential variable in measuring air quality? As we uncover the "Jenny Effect," we invite you to be the judges of whether this is a breath of fresh air for statistical research or simply a name blowing in the wind.
As we dig deeper into the data, it becomes clear that the correlation coefficient of 0.9023381 should give us the same satisfaction as a perfectly timed dad joke – confidently present, yet still a delightful surprise. It’s almost as if the research deities themselves were on our side, saying, "Hey, Jenny, look what we stumbled upon!"
As we embark on this statistical adventure, we encourage you to keep an open mind and a lighthearted spirit, for the world of research is not all just "hertz" and "t-tests." Sometimes, a cleverly named variable can lead us to breathtaking discoveries – and we’re not just "polluting" the scientific community with jokes!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the mystery of the "Jenny Effect" on air pollution in Hartford, Connecticut, we employed a clever concoction of data collection and statistical analyses – as delightful and unexpected as a whimsical dance between variables. First, we harnessed the power of the US Social Security Administration's treasure trove of baby name frequencies from 1980 to 2022. With each "Jenny" born and named, we envisioned a puff of air, carrying with it the potential for environmental influence.

In order to gauge the atmospheric response to the surge in Jenny-naming, we pirouetted over to the Environmental Protection Agency's databases, where air quality measurements and pollutant levels awaited our scholarly scrutiny. It's almost as if we were playing a game of "Name that Emission" with our data, hoping to catch a whiff of insight amidst the statistical fog.

Utilizing a whimsical yet robust statistical approach, we conducted a series of boogie-worthy analyses, including a bivariate correlation to tease out the dance between the frequency of the name "Jenny" and air pollution levels. We also indulged in some time-series analyses, encapsulating decades of data in a rhythmic graph that hinted at the ebbs and flows of both Jenny’s popularity and air quality. We couldn’t help but marvel at the lyrical dance between the data points, almost as if they were waltzing to an unseen melody.

Carefully orchestrating this performance of statistical wizardry, we ensured that our analyses were as rigorous and precise as the steps of a seasoned dancer. We adopted a sniff-test for data accuracy, gently inhaling the aromas of our datasets to detect any whiff of anomalies. After all, even the most elegant statistical waltz can be tripped up by a misplaced footnote or a rogue decimal point.

To maintain the integrity of our findings, we leaped into the shimmering pool of statistical significance, ensuring that our results were not just a fluke of chance but a purposeful march towards unveiling the "Jenny Effect." We embraced p-values and confidence intervals like old friends, inviting them to join us in this statistical soiree, where the currency of evidence is worth more than gold.

Lastly, we spun an elegant web of robustness checks, twirling through sensitivity analyses and model diagnostics to ensure that our findings were not just a passing gust of curiosity but a substantial breeze blowing through the scientific community. With each meticulous step in our statistical minuet, we held the "Jenny Effect" to the light, asking it to reveal its playful yet poignant secrets.

So, as we bid adieu to the methodology section, it's becoming increasingly clear that our journey to unravel the connection between "Jenny" and air pollution has been as unexpected and enthralling as a whimsical name whispered on the winds of statistical discovery. And if you thought scientific research was all dry data and serious faces, well, you might just need to adjust your "Jenny-tinted" glasses – the dance floor of research is always open for an unexpected groove!


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 Jenny and Air pollution in Hartford, Connecticut. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

For the time period 1980 to 2022, you found a correlation 0.9023381, r-squared of 0.8142141, 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]]
"The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?"

[[ABSTRACT]]
In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.

It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"

This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The intersection of statistical analysis and whimsy has always been a bustling thoroughfare for curious researchers, leading us down unexpected avenues of inquiry. In this study, we venture into the realm of naming trends and atmospheric quality to explore the eyebrow-raising relationship between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. As we embark on this delightful journey, we aim to shed light on the correlation between an endearing name and the invisible yet impactful presence of air pollutants.
Now, take a deep breath in and get ready for a pun-derful experience! It seems that the tables have turned and we’re not just studying atmospheric air – we’re also discussing the air of popularity surrounding the name "Jenny." If this doesn't blow you away, perhaps our findings will!
First, let's set the stage by acknowledging the unexpected nature of our research topic. At first glance, one might wonder what possible connection could exist between a first name and air pollution, but that's exactly where the devil lies – or should we say, the data? One thing's for sure: we’re not just whistling dixie here. Our findings are as real as the air we breathe (literally and figuratively).
It’s a well-known fact that economics and medical research often go hand in hand, but who could have guessed that the popularity of a name might be an influential variable in measuring air quality? As we uncover the "Jenny Effect," we invite you to be the judges of whether this is a breath of fresh air for statistical research or simply a name blowing in the wind.
As we dig deeper into the data, it becomes clear that the correlation coefficient of 0.9023381 should give us the same satisfaction as a perfectly timed dad joke – confidently present, yet still a delightful surprise. It’s almost as if the research deities themselves were on our side, saying, "Hey, Jenny, look what we stumbled upon!"
As we embark on this statistical adventure, we encourage you to keep an open mind and a lighthearted spirit, for the world of research is not all just "hertz" and "t-tests." Sometimes, a cleverly named variable can lead us to breathtaking discoveries – and we’re not just "polluting" the scientific community with jokes!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our analysis revealed a noteworthy correlation between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. From 1980 to 2022, we found a strikingly high correlation coefficient of 0.9023381, indicating a strong positive association between the frequency of the name "Jenny" and the levels of air pollutants. It's almost as if the town's air quality responded to the call of "Jenny" with an enthusiastic "Present!"

Now, as we present our findings, it’s time for a quick breather and a dad joke that’s as refreshing as a gust of wind on a sunny day: Why did the statistician go to art school? To learn how to draw a graph-ic!

Moving on to our r-squared value of 0.8142141, we can confidently say that a whopping 81.42% of the variation in air pollution levels can be explained by the popularity of the name "Jenny." It's as if the name "Jenny" has become synonymous with an invisible cloud hovering over the city – not the kind that brings rain, but perhaps a different kind of precipitation, pollutants!

Furthermore, our analysis yielded a p-value of less than 0.01, indicating the statistical significance of our findings. In layman's terms, this means that the likelihood of observing such a strong relationship between the popularity of the name "Jenny" and air pollution levels by random chance alone is less than the chance of finding a needle in a haystack. It seems that this connection is as clear as the air on a crisp autumn morning.

Speaking of clarity, we present Fig. 1, a scatterplot showcasing the robust correlation between the frequency of the name "Jenny" and air pollution levels. The scatterplot depicts a trend that is as undeniable as a classic dad joke at a family gathering – it simply cannot be ignored!

In conclusion, our analysis has unveiled an unexpected yet compelling connection between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. This study not only sheds light on the "Jenny Effect" but also serves as a gentle reminder that in the world of research, even the most unconventional variables can blow the lid off of new discoveries. It's almost as if statistical analysis is like a breeze – sometimes, it can carry us to unforeseen destinations.


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 Jenny and Air pollution in Hartford, Connecticut. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
"The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?"

[[ABSTRACT]]
In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.

It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"

This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.

[[LITERATURE REVIEW]]
Previous studies have laid the groundwork for our investigation into the connection between naming trends and environmental quality. In "Smith et al.," the authors find evidence suggesting that the social and cultural trends associated with certain names may have unforeseen impacts on local environmental factors. Furthermore, "Doe and Jones" explore the psychological and behavioral implications of name popularity, shedding light on the intriguing ways in which names can influence various aspects of our lives. Meanwhile, "Jenkins and Brown" delve into the historical and geographical variations in naming conventions, providing a comprehensive overview of the dynamics at play.
Now, let's take a comedic turn and address the elephant in the room – or rather, the "Jenny" in the atmosphere! It's quite an "aerifying" idea, isn't it? One might say that the correlation we found really took our breath away – but not in a good way. The air pollution levels seem to be rising as rapidly as the popularity of the name "Jenny." It's almost as if every "Jenny" that came into existence caused a little puff of pollution to appear out of thin air. Speaking of thin air, we're not just blowing hot air when we say that our findings are as intriguing as a breeze on a warm summer day.
In the realm of non-fiction literature, works such as "The Air We Breathe: A Comprehensive Analysis" and "Names and Society: A Cultural Perspective" lay the groundwork for a deeper understanding of our curious conundrum. On the other hand, fiction books with titles like "The Jenny Chronicles" and "Pollution and the City: A Tale of Two Airs" invite readers to ponder the whimsical possibilities of our research topic. And who could forget the classic TV shows "The Jenny Files" and "Air Pollution Detectives," which have undoubtedly served as both sources of entertainment and inspiration for our scholarly pursuits?
As we navigate through this peculiar landscape of statistical inquiry, it's important to remember that even the most unexpected correlations can reveal profound insights. Our study serves as a testament to the whimsical nature of research, reminding us that the world of academia is not all seriousness and highbrow discourse. Sometimes, a dash of humor and a touch of quirkiness are just what we need to breathe new life into statistical analysis. And if you find yourself struggling to grasp the intricacies of our findings, just remember – it's all in the name of science!

[[RESULTS]]
The results of our analysis revealed a noteworthy correlation between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. From 1980 to 2022, we found a strikingly high correlation coefficient of 0.9023381, indicating a strong positive association between the frequency of the name "Jenny" and the levels of air pollutants. It's almost as if the town's air quality responded to the call of "Jenny" with an enthusiastic "Present!"
Now, as we present our findings, it’s time for a quick breather and a dad joke that’s as refreshing as a gust of wind on a sunny day: Why did the statistician go to art school? To learn how to draw a graph-ic!
Moving on to our r-squared value of 0.8142141, we can confidently say that a whopping 81.42% of the variation in air pollution levels can be explained by the popularity of the name "Jenny." It's as if the name "Jenny" has become synonymous with an invisible cloud hovering over the city – not the kind that brings rain, but perhaps a different kind of precipitation, pollutants!
Furthermore, our analysis yielded a p-value of less than 0.01, indicating the statistical significance of our findings. In layman's terms, this means that the likelihood of observing such a strong relationship between the popularity of the name "Jenny" and air pollution levels by random chance alone is less than the chance of finding a needle in a haystack. It seems that this connection is as clear as the air on a crisp autumn morning.
Speaking of clarity, we present Fig. 1, a scatterplot showcasing the robust correlation between the frequency of the name "Jenny" and air pollution levels. The scatterplot depicts a trend that is as undeniable as a classic dad joke at a family gathering – it simply cannot be ignored!
In conclusion, our analysis has unveiled an unexpected yet compelling connection between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. This study not only sheds light on the "Jenny Effect" but also serves as a gentle reminder that in the world of research, even the most unconventional variables can blow the lid off of new discoveries. It's almost as if statistical analysis is like a breeze – sometimes, it can carry us to unforeseen destinations.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our study delved into the uncharted territory of exploring the potentially far-reaching effects of name popularity on environmental quality in Hartford, Connecticut. We aimed to investigate the correlation between the frequency of the first name "Jenny" and air pollution levels, and our findings have certainly given us a breath of fresh air – or perhaps a lungful of pollutants!

Expanding on the foundations laid by previous studies, our research lent support to the idea that the social and cultural phenomenon of naming trends may indeed have unforeseen impacts on local environmental factors. So, it seems the winds of correlation have blown our way, and we're not just whistling dixie!

Our results revealed a strikingly high correlation coefficient of 0.9023381, hinting at a strong positive association between the popularity of the name "Jenny" and the levels of air pollutants. It's almost as if every "Jenny" brought with it a gust of pollution, like a mischievous zephyr in the statistical realm.

Now, for a pun to clear the air – What do you call a fake noodle? An impasta! Speaking of imposters, the statistical significance of our findings, with a p-value of less than 0.01, firmly establishes that this connection is not just a fluke or a statistical sleight of hand. It's as clear as the smog-filled sky over Hartford!

Our r-squared value of 0.8142141 adds weight to the argument, illustrating that a substantial 81.42% of the variation in air pollution levels in Hartford can be explained by the popularity of the name "Jenny." It's as if the name "Jenny" has become synonymous with an invisible cloud hanging over the city – a smoggy moniker, if you will!

Fig. 1, our scatterplot, visually encapsulates this robust correlation. It's as convincing as a well-crafted dad joke at a family BBQ – it simply cannot be ignored, much like the pervasive influence of the name "Jenny" on Hartford's air quality.

In the whimsical world of statistical analysis, our study has blown in like a breeze, shaking up our understanding of the potential relations between seemingly unrelated variables. This research serves as a reminder that even in the serious realm of academia, a lighthearted exploration can unveil unexpected and thought-provoking findings.

As we embrace these quirky connections, we're left to wonder – is the Jenny Effect simply a breath of fresh air, or is there more than meets the eye? It's quite an a-"musing" conundrum!


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 Jenny and Air pollution in Hartford, Connecticut. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
"The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?"

[[ABSTRACT]]
In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.

It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"

This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.

[[INTRDUCTION]]
The intersection of statistical analysis and whimsy has always been a bustling thoroughfare for curious researchers, leading us down unexpected avenues of inquiry. In this study, we venture into the realm of naming trends and atmospheric quality to explore the eyebrow-raising relationship between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. As we embark on this delightful journey, we aim to shed light on the correlation between an endearing name and the invisible yet impactful presence of air pollutants.
Now, take a deep breath in and get ready for a pun-derful experience! It seems that the tables have turned and we’re not just studying atmospheric air – we’re also discussing the air of popularity surrounding the name "Jenny." If this doesn't blow you away, perhaps our findings will!
First, let's set the stage by acknowledging the unexpected nature of our research topic. At first glance, one might wonder what possible connection could exist between a first name and air pollution, but that's exactly where the devil lies – or should we say, the data? One thing's for sure: we’re not just whistling dixie here. Our findings are as real as the air we breathe (literally and figuratively).
It’s a well-known fact that economics and medical research often go hand in hand, but who could have guessed that the popularity of a name might be an influential variable in measuring air quality? As we uncover the "Jenny Effect," we invite you to be the judges of whether this is a breath of fresh air for statistical research or simply a name blowing in the wind.
As we dig deeper into the data, it becomes clear that the correlation coefficient of 0.9023381 should give us the same satisfaction as a perfectly timed dad joke – confidently present, yet still a delightful surprise. It’s almost as if the research deities themselves were on our side, saying, "Hey, Jenny, look what we stumbled upon!"
As we embark on this statistical adventure, we encourage you to keep an open mind and a lighthearted spirit, for the world of research is not all just "hertz" and "t-tests." Sometimes, a cleverly named variable can lead us to breathtaking discoveries – and we’re not just "polluting" the scientific community with jokes!

[[RESULTS]]
The results of our analysis revealed a noteworthy correlation between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. From 1980 to 2022, we found a strikingly high correlation coefficient of 0.9023381, indicating a strong positive association between the frequency of the name "Jenny" and the levels of air pollutants. It's almost as if the town's air quality responded to the call of "Jenny" with an enthusiastic "Present!"
Now, as we present our findings, it’s time for a quick breather and a dad joke that’s as refreshing as a gust of wind on a sunny day: Why did the statistician go to art school? To learn how to draw a graph-ic!
Moving on to our r-squared value of 0.8142141, we can confidently say that a whopping 81.42% of the variation in air pollution levels can be explained by the popularity of the name "Jenny." It's as if the name "Jenny" has become synonymous with an invisible cloud hovering over the city – not the kind that brings rain, but perhaps a different kind of precipitation, pollutants!
Furthermore, our analysis yielded a p-value of less than 0.01, indicating the statistical significance of our findings. In layman's terms, this means that the likelihood of observing such a strong relationship between the popularity of the name "Jenny" and air pollution levels by random chance alone is less than the chance of finding a needle in a haystack. It seems that this connection is as clear as the air on a crisp autumn morning.
Speaking of clarity, we present Fig. 1, a scatterplot showcasing the robust correlation between the frequency of the name "Jenny" and air pollution levels. The scatterplot depicts a trend that is as undeniable as a classic dad joke at a family gathering – it simply cannot be ignored!
In conclusion, our analysis has unveiled an unexpected yet compelling connection between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. This study not only sheds light on the "Jenny Effect" but also serves as a gentle reminder that in the world of research, even the most unconventional variables can blow the lid off of new discoveries. It's almost as if statistical analysis is like a breeze – sometimes, it can carry us to unforeseen destinations.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has uncovered a fascinating and robust correlation between the popularity of the first name "Jenny" and air pollution levels in Hartford, Connecticut. Our findings support the notion that the name "Jenny" may indeed be acting as a bellwether for the air quality in the region, with a correlation coefficient as clear as the air on a crisp morning – or as clear as my propensity for dad jokes!

Our results indicate a correlation coefficient of 0.9023381, demonstrating a strong positive association between the frequency of the name "Jenny" and air pollution levels. It's as if every time someone called out "Jenny," pollutants responded with a resounding, "Here I am!" Talk about leaving an air-tight impression!

Furthermore, our analysis revealed an r-squared value of 0.8142141, indicating that a whopping 81.42% of the variation in air pollution levels can be explained by the popularity of the name "Jenny." It seems the name "Jenny" is leaving an indelible mark – or should we say, an inhalable mark – on the atmospheric composition of Hartford.

Now, for a breath of fresh humor and a dad joke that's as undeniably inevitable as our findings: Why did the researcher bring a ladder to the library? Because they heard the plot was full of air pollution! Sometimes, statistical analysis and cringe-worthy humor go hand in hand.

In light of these compelling findings, we argue that no more research is needed in this area. The Jenny Effect on air pollution in Hartford, Connecticut has been firmly established. This study not only provides an amusing anecdote but also underscores the serendipitous nature of scientific inquiry – sometimes, the wind blows us in the most unexpected yet fruitful directions.

As we conclude this exploration, we leave you with a reminder that in the world of research, the unexpected can often lead to the most enlightening discoveries. After all, who would have thought that a name could have such an "atmos-fairy" impact on air quality?

No further studies needed to confirm the Jenny Effect – it's as settled as the dust in a statistical model!


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 The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?. Respond only with the name of a fictional academic journal.

ChatGPT:

The International Journal of Atmospheric Anomalies


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 The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind?. Respond only with the name of a fictional organization.

ChatGPT:

Society for the Advancement of Wind Studies (SAWS)


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 The Jenny Effect: A Breath of Fresh Air or Just a Name in the Wind? with an abstract of In this study, we investigate the uncharted territory of the correlation between the popularity of the first name "Jenny" and air pollution in Hartford, Connecticut. We utilized data from the US Social Security Administration to examine the frequency of the name "Jenny" and data from the Environmental Protection Agency to evaluate air pollution levels. Our findings revealed a remarkable correlation coefficient of 0.9023381, indicating a strong positive association between the popularity of the name "Jenny" and air pollution levels in Hartford, Connecticut from 1980 to 2022.
It seems that the winds have been blowing in an unexpected direction, as we uncover this fascinating connection between a beloved name and the atmospheric quality. Our data suggests that as the popularity of the name "Jenny" soared, so did the levels of air pollution. It's almost as if every time someone called out "Jenny," air pollutants responded with a resounding, "Here I am!"
This study serves as a light-hearted yet thought-provoking exploration of the peculiar relationship between a first name and environmental factors. As we delve into the whimsical world of statistical analysis, it's clear that sometimes, the most compelling discoveries are found in the most unexpected places – or names, in this case.

ChatGPT:

"Jenny" popularity, air pollution correlation, Hartford, Connecticut, US Social Security Administration data, Environmental Protection Agency data, correlation coefficient, atmospheric quality, name "Jenny" and air pollution, statistical analysis, environmental factors

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

Air pollution in Hartford, Connecticut
Detailed data title: Percentage of days with air quality at 'unhealthy for sensitive groups' or worse in Hartford-West Hartford-East Hartford, CT
Source: Environmental Protection Agency
See what else correlates with Air pollution in Hartford, Connecticut

Correlation r = 0.9023381 (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 = 0.8142141 (Coefficient of determination)
This means 81.4% of the change in the one variable (i.e., Air pollution in Hartford, Connecticut) is predictable based on the change in the other (i.e., Popularity of the first name Jenny) over the 43 years from 1980 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.4E-16. 0.0000000000000001412584315873
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 0.9 in 1.4E-14% of random cases. Said differently, if you correlated 7,079,223,440,067,603 random variables You don't actually need 7 quadrillion 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.

[ 0.83, 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.
1980198119821983198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022
Popularity of the first name Jenny (Babies born)266424152469226021491820164417131419129513481267114010199869891012874778758828810840709685613666616511406350362308336336280235260220196153146164
Air pollution in Hartford, Connecticut (Bad air quality days)24.863411.780820.27420.821915.027313.97267.6712313.150714.75419.589047.9452110.95898.196728.7671210.41110.1375.817177.945218.219189.863016.557389.5890411.78085.479455.73777.123296.575348.493154.918031.643844.109592.465756.010933.835624.109594.383564.371582.465752.739732.191780.5464484.109591.91781




Why this works

  1. Data dredging: I have 25,237 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 636,906,169 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([2664,2415,2469,2260,2149,1820,1644,1713,1419,1295,1348,1267,1140,1019,986,989,1012,874,778,758,828,810,840,709,685,613,666,616,511,406,350,362,308,336,336,280,235,260,220,196,153,146,164,])
array_2 = np.array([24.8634,11.7808,20.274,20.8219,15.0273,13.9726,7.67123,13.1507,14.7541,9.58904,7.94521,10.9589,8.19672,8.76712,10.411,10.137,5.81717,7.94521,8.21918,9.86301,6.55738,9.58904,11.7808,5.47945,5.7377,7.12329,6.57534,8.49315,4.91803,1.64384,4.10959,2.46575,6.01093,3.83562,4.10959,4.38356,4.37158,2.46575,2.73973,2.19178,0.546448,4.10959,1.91781,])
array_1_name = "Popularity of the first name Jenny"
array_2_name = "Air pollution in Hartford, Connecticut"

# 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: 5285 · Black Variable ID: 2533 · Red Variable ID: 20716
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