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Spurious correlation #2,382 · 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 Phoebe and the second variable is The number of aerospace engineers in Utah.  The chart goes from 2003 to 2019, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

Perhaps every Phoebe was secretly a rocket scientist, inspiring a new generation of aerospace engineers with their celestial insights and out-of-this-world ideas! Or maybe there was a cosmic connection between the name Phoebe and a gravitational pull towards Utah's aerospace industry, leading to an interstellar influx of Phoebetastic talent. Who knew that the key to reaching for the stars lay in the name Phoebe!

Model: dalle-3
Prompt: Generate an image of a high-tech classroom in Utah, filled with eager students raising their hands in excitement as they listen attentively to their aerospace engineering teacher. The classroom is modern, with sleek desks and advanced technological interfaces. The students wear bright smiles and have "Phoebe" written on top of their papers, a nod to the beloved character from "Friends" that has emboldened their collective ambitions. The room is buzzing with enthusiasm as the students dream of exploring the cosmos and reaching for the stars, symbolizing the launch of the aerospace industry in Utah to new heights. 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 Phoebe and The number of aerospace engineers in Utah. 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: Hyper-realistic A Discovery magazine cover image Celtic art High-tech a Polaroid photo
ChatGPT: High-tech

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 Phoebe and The number of aerospace engineers in Utah, in the following situation: The parents were over the moon about naming their daughters Phoebe after the beloved "Friends" character. This led to a gravitational pull of bright, aspiring students towards science and engineering, ultimately launching Utah's aerospace industry to new heights. It seems the name Phoebe is truly out of this world in inspiring future aerospace engineers in the Beehive State.. Keep the description simple.
ChatGPT: In a bustling classroom in Utah, a group of students eagerly raised their hands, wearing bright smiles as they listened attentively to their aerospace engineering teacher. The name "Phoebe" adorned the top of their papers, emboldened by their love for the beloved character from "Friends". Their enthusiasm seemed to launch the aerospace industry in Utah to new heights, with dreams of exploring the cosmos and reaching for the stars.

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: [ High-tech ] and depicting this scene: In a bustling classroom in Utah, a group of students eagerly raised their hands, wearing bright smiles as they listened attentively to their aerospace engineering teacher. The name "Phoebe" adorned the top of their papers, emboldened by their love for the beloved character from "Friends". Their enthusiasm seemed to launch the aerospace industry in Utah to new heights, with dreams of exploring the cosmos and reaching for the stars. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a high-tech classroom in Utah, filled with eager students raising their hands in excitement as they listen attentively to their aerospace engineering teacher. The classroom is modern, with sleek desks and advanced technological interfaces. The students wear bright smiles and have "Phoebe" written on top of their papers, a nod to the beloved character from "Friends" that has emboldened their collective ambitions. The room is buzzing with enthusiasm as the students dream of exploring the cosmos and reaching for the stars, symbolizing the launch of the aerospace industry in Utah to new heights.

*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 an increase in Popularity of the first name Phoebe caused The number of aerospace engineers in Utah to increase.

AI academic paper

(Because p < 0.01)
The Phoebenomenon: Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

The Journal of Extraterrestrial Engineering and Phenomena

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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Popularity of the first name Phoebe and The number of aerospace engineers in Utah. Make lots of jokes, goofy observations, and puns.

Make the title a clever pun.

Your research team used data from US Social Security Administration and Bureau of Larbor Statistics to assess this nagging question. You found a correlation coefficient of 0.8547835 and p < 0.01 for 2003 to 2019.

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 "Phoebenomenon": Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

[[ABSTRACT]]
The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.

While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Popularity of the first name Phoebe and The number of aerospace engineers in Utah. Make lots of jokes, goofy observations, and puns. 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 "Phoebenomenon": Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

[[ABSTRACT]]
The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.

While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Welcome, cosmic wanderers and statistical stargazers, to our saga of the "Phoebenomenon," where we embark on a mission to unravel the enigmatic connection between the popularity of the heavenly name Phoebe and the earthly occupation of aerospace engineering in Utah. While many may raise an eyebrow and ponder, "What in the name of Newton's apple pie is this about?" we assure you that our findings are as intriguing as a black hole's event horizon.

In this jocular journey through the celestial and terrestrial realms of data science, we aim to shed light on the astonishing correlation between the ebb and flow of Phoebes and aerospace engineers. Picture this: as Phoebes wax and wane in popularity, so do the numbers of aerospace engineers in the Beehive State; a statistical ballet that would make Galileo do a celestial double-take.

Our investigation takes flight with data collected from the US Social Security Administration, where the frequency of "Phoebe" sightings was tabulated alongside the Bureau of Labor Statistics' records of aerospace engineering employment in Utah. Embarking on this cosmic quest, we uncovered a correlation coefficient that could rival the laws of thermodynamics – a potent 0.8547835 with a p-value less than 0.01, signifying a gravitational tug between the variables more forceful than a planet orbiting its star.

But before you dismiss our findings as statistical shenanigans or mere coincidence, we ask you to consider this: the celestial body, Phoebe, might just be exercising its gravitational pull on unsuspecting career choices in the aerospace industry. Who would have thought that the name Phoebe could wield such astrological influence on Utah's aerospace engineers? It's as if the cosmos conspired to name-drop its celestial prowess in the earthly realm of workforce demographics.

So, dear readers, fasten your seatbelts as we navigate the asteroid belt of statistical anomalies and peek behind the cosmic curtain at this "out-of-this-world" relationship. Our data may present a puzzle that even the sphinx of statistical analysis would find baffling, but we invite you to join us in this astronomical adventure. The implications of our startling findings promise to propel us into uncharted celestial territories, where the name Phoebe echoes through the cosmos and the aerospace dreams of Utah engineers take flight.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Popularity of the first name Phoebe and The number of aerospace engineers in Utah. Make lots of 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
The "Phoebenomenon": Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

[[ABSTRACT]]
The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.

While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Welcome, cosmic wanderers and statistical stargazers, to our saga of the "Phoebenomenon," where we embark on a mission to unravel the enigmatic connection between the popularity of the heavenly name Phoebe and the earthly occupation of aerospace engineering in Utah. While many may raise an eyebrow and ponder, "What in the name of Newton's apple pie is this about?" we assure you that our findings are as intriguing as a black hole's event horizon.
In this jocular journey through the celestial and terrestrial realms of data science, we aim to shed light on the astonishing correlation between the ebb and flow of Phoebes and aerospace engineers. Picture this: as Phoebes wax and wane in popularity, so do the numbers of aerospace engineers in the Beehive State; a statistical ballet that would make Galileo do a celestial double-take.
Our investigation takes flight with data collected from the US Social Security Administration, where the frequency of "Phoebe" sightings was tabulated alongside the Bureau of Labor Statistics' records of aerospace engineering employment in Utah. Embarking on this cosmic quest, we uncovered a correlation coefficient that could rival the laws of thermodynamics – a potent 0.8547835 with a p-value less than 0.01, signifying a gravitational tug between the variables more forceful than a planet orbiting its star.
But before you dismiss our findings as statistical shenanigans or mere coincidence, we ask you to consider this: the celestial body, Phoebe, might just be exercising its gravitational pull on unsuspecting career choices in the aerospace industry. Who would have thought that the name Phoebe could wield such astrological influence on Utah's aerospace engineers? It's as if the cosmos conspired to name-drop its celestial prowess in the earthly realm of workforce demographics.
So, dear readers, fasten your seatbelts as we navigate the asteroid belt of statistical anomalies and peek behind the cosmic curtain at this "out-of-this-world" relationship. Our data may present a puzzle that even the sphinx of statistical analysis would find baffling, but we invite you to join us in this astronomical adventure. The implications of our startling findings promise to propel us into uncharted celestial territories, where the name Phoebe echoes through the cosmos and the aerospace dreams of Utah engineers take flight.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In the realm of celestial nomenclature and career trends, the "Phoebenomenon" stands as an enigma that challenges conventional wisdom and cosmic coincidences alike. As we navigate through this peculiar terrain of statistical stargazing, our quest for understanding calls for a survey of existing literature and research on the interaction between celestial names and earthly vocations.

Smith, in their study "Celestial Significance in Societal Subconsciousness," traces the fascinating history of celestial names influencing cultural beliefs and individual decision-making. While their research primarily focuses on the impact of zodiac signs and planetary alignments on human behavior, it sets the stage for exploring the potential influence of the celestial name "Phoebe" on the career trajectories of aerospace engineers in Utah.

Doe's comprehensive analysis in "Astronomy in Everyday Language: Cosmic Coincidences or Celestial Causality?" provides a compelling argument for the cosmic influences on human endeavors. By examining historical trends and contemporary patterns, Doe weaves a narrative that blurs the line between celestial happenstance and cosmic conspiracies, prompting us to consider the possibility of celestial names shaping professional pathways in unexpected ways.

In a lighthearted yet informative approach, Jones, in "Stars, Names, and Everything in Between," offers a thought-provoking exploration of the cosmic and terrestrial interplay. While the focus of the study is on the symbolism of celestial bodies in literature and popular culture, Jones delves into the subconscious associations that people form with celestial names, potentially extending their impact to career choices and aspirations.

While these studies lay a solid foundation for understanding the broader context of celestial influences, our investigation takes a whimsical leap into the specific case of the name Phoebe and its improbable correlation with the aerospace engineering workforce in Utah.

Turning to non-fiction works that indirectly touch upon the cosmic thread we are unraveling, "The Elegant Universe" by Brian Greene and "Cosmos" by Carl Sagan offer compelling insights into the interconnectedness of cosmic phenomena and human experiences. Although their primary focus is on the scientific aspects of the universe, we dare not underestimate the ripple effect of celestial names on earthly affairs.

In parallel, the fictional realm presents its own reflections of celestial themes and serendipitous connections. Works such as "The Hitchhiker's Guide to the Galaxy" by Douglas Adams and "Good Omens" by Neil Gaiman and Terry Pratchett, while not directly related to our investigation, humorously illuminate the whimsical and unpredictable nature of cosmic phenomena, challenging us to embrace the absurd and the improbable.

Drawing inspiration from the realm of board games, "Cosmic Encounter" and "Terraforming Mars" enliven our contemplation of celestial forces and their potential influence on human endeavors, albeit in a playful and fictional context.

In our pursuit of untangling the "Phoebenomenon," these diverse sources buoy our spirits and invite us to approach the perplexing correlation with a blend of scholarly gravitas and cosmic whimsy.

As we venture deeper into the celestial labyrinth of empirical exploration, let us remember that amid the stars and statistical constellations, the improbable may yet prove to be the impossible-turned-inevitable.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Popularity of the first name Phoebe and The number of aerospace engineers in Utah. Make lots of jokes, goofy observations, and puns. 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 Bureau of Larbor Statistics . You used data from 2003 to 2019

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 "Phoebenomenon": Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

[[ABSTRACT]]
The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.

While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.

[[INTRODUCTION]]
Welcome, cosmic wanderers and statistical stargazers, to our saga of the "Phoebenomenon," where we embark on a mission to unravel the enigmatic connection between the popularity of the heavenly name Phoebe and the earthly occupation of aerospace engineering in Utah. While many may raise an eyebrow and ponder, "What in the name of Newton's apple pie is this about?" we assure you that our findings are as intriguing as a black hole's event horizon.
In this jocular journey through the celestial and terrestrial realms of data science, we aim to shed light on the astonishing correlation between the ebb and flow of Phoebes and aerospace engineers. Picture this: as Phoebes wax and wane in popularity, so do the numbers of aerospace engineers in the Beehive State; a statistical ballet that would make Galileo do a celestial double-take.
Our investigation takes flight with data collected from the US Social Security Administration, where the frequency of "Phoebe" sightings was tabulated alongside the Bureau of Labor Statistics' records of aerospace engineering employment in Utah. Embarking on this cosmic quest, we uncovered a correlation coefficient that could rival the laws of thermodynamics – a potent 0.8547835 with a p-value less than 0.01, signifying a gravitational tug between the variables more forceful than a planet orbiting its star.
But before you dismiss our findings as statistical shenanigans or mere coincidence, we ask you to consider this: the celestial body, Phoebe, might just be exercising its gravitational pull on unsuspecting career choices in the aerospace industry. Who would have thought that the name Phoebe could wield such astrological influence on Utah's aerospace engineers? It's as if the cosmos conspired to name-drop its celestial prowess in the earthly realm of workforce demographics.
So, dear readers, fasten your seatbelts as we navigate the asteroid belt of statistical anomalies and peek behind the cosmic curtain at this "out-of-this-world" relationship. Our data may present a puzzle that even the sphinx of statistical analysis would find baffling, but we invite you to join us in this astronomical adventure. The implications of our startling findings promise to propel us into uncharted celestial territories, where the name Phoebe echoes through the cosmos and the aerospace dreams of Utah engineers take flight.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the cosmic conundrum of the "Phoebenomenon," our research team employed a mix of statistical wizardry and celestial sleuthing to tease out the mystical relationship between the popularity of the name Phoebe and the number of aerospace engineers in Utah. Channeling our inner astronomers and research-sorcerers, we concocted a method as intricate as the orbits of Jupiter's moons, yet as down-to-earth as a lab-coated researcher searching for the missing "P" value.

First, we scoured the archives of the US Social Security Administration, combing through data from 2003 to 2019 to uncover the celestial cycles of the name Phoebe. With more precision than a telescope tracking a comet's trajectory, we charted the rise and fall of little Phoebes entering the earthly sphere, keen to discover if their gravitational tug reached beyond playgrounds and into the aerospace engineering industry.

In parallel, we delved deep into the cosmic rolls of the Bureau of Labor Statistics, aiming to quantify the flux and flow of aerospace engineers in the starry state of Utah. Armed with spreadsheets and statistical incantations, our mission was clear: measure the magnitudes of aerospace aspirations amidst the celestial reverberations of Phoebe's popularity.

Now, here comes the tricky part – the statistical marvel that would spark joy in the heart of any data sleuth. We meticulously calculated the correlation coefficient between Phoebe frequencies and aerospace engineering employment in Utah, yielding a celestial symphony of 0.8547835. This statistical score had us grinning like Cheshire cats, for it indicated a strong gravitational pull between the variables, comparable to the cosmic forces shaping planetary orbits.

But before we raise our telescopes in triumph, we must confront the possibility of lurking confounding variables and statistical specters. To ward off these statistical ghouls, we subjected our findings to rigorous regression analysis and hypothesis testing, ensuring that our cosmic correlation remained robust even in the face of celestial confounders.

In the end, our methodology emerges as a planetary dance of data mining, statistical calculations, and a dash of celestial whimsy. While the Phoebenomenon may defy the conventional laws of causality, our methodology remains staunchly grounded in the principles of scientific inquiry, blending rigorous statistical analyses with cosmic curiosity and a sprinkle of stardust.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Popularity of the first name Phoebe and The number of aerospace engineers in Utah. Make lots of jokes, goofy observations, and puns. 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 Bureau of Larbor Statistics .

For the time period 2003 to 2019, you found a correlation 0.8547835, r-squared of 0.7306549, 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 "Phoebenomenon": Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

[[ABSTRACT]]
The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.

While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Welcome, cosmic wanderers and statistical stargazers, to our saga of the "Phoebenomenon," where we embark on a mission to unravel the enigmatic connection between the popularity of the heavenly name Phoebe and the earthly occupation of aerospace engineering in Utah. While many may raise an eyebrow and ponder, "What in the name of Newton's apple pie is this about?" we assure you that our findings are as intriguing as a black hole's event horizon.
In this jocular journey through the celestial and terrestrial realms of data science, we aim to shed light on the astonishing correlation between the ebb and flow of Phoebes and aerospace engineers. Picture this: as Phoebes wax and wane in popularity, so do the numbers of aerospace engineers in the Beehive State; a statistical ballet that would make Galileo do a celestial double-take.
Our investigation takes flight with data collected from the US Social Security Administration, where the frequency of "Phoebe" sightings was tabulated alongside the Bureau of Labor Statistics' records of aerospace engineering employment in Utah. Embarking on this cosmic quest, we uncovered a correlation coefficient that could rival the laws of thermodynamics – a potent 0.8547835 with a p-value less than 0.01, signifying a gravitational tug between the variables more forceful than a planet orbiting its star.
But before you dismiss our findings as statistical shenanigans or mere coincidence, we ask you to consider this: the celestial body, Phoebe, might just be exercising its gravitational pull on unsuspecting career choices in the aerospace industry. Who would have thought that the name Phoebe could wield such astrological influence on Utah's aerospace engineers? It's as if the cosmos conspired to name-drop its celestial prowess in the earthly realm of workforce demographics.
So, dear readers, fasten your seatbelts as we navigate the asteroid belt of statistical anomalies and peek behind the cosmic curtain at this "out-of-this-world" relationship. Our data may present a puzzle that even the sphinx of statistical analysis would find baffling, but we invite you to join us in this astronomical adventure. The implications of our startling findings promise to propel us into uncharted celestial territories, where the name Phoebe echoes through the cosmos and the aerospace dreams of Utah engineers take flight.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the data collected from the US Social Security Administration and the Bureau of Labor Statistics unveiled an astronomical correlation between the phenomenon we've endearingly dubbed the "Phoebenomenon." Our exploratory voyage through the cosmic and professional spheres has confirmed a striking correlation coefficient of 0.8547835, which, in scientific terms, is as rare as finding a shooting star in the data galaxy. With an r-squared of 0.7306549 and a sizzling p-value of less than 0.01, the evidence of this celestial-cum-professional linkage is more convincing than the discovery of a new planet in the data universe.

The grand revelation is graphically depicted in Fig. 1, a scatterplot that portrays the breathtaking dance between the popularity of the name Phoebe and the population of aerospace engineers in Utah. Behold the beguiling pattern akin to the gravitational pull of celestial bodies, drawing the attention of even the most seasoned statistical astronauts.

This groundbreaking correlation prompts us to ponder the cosmic forces at play, as if the very fabric of space-time itself conspires to intertwine the celestial influence of the name Phoebe with the career trajectory of aerospace engineers in Utah. The evidence is as clear as the celestial equator, leaving us with a cosmic conundrum that challenges the conventional laws of statistics.

While the exact mechanisms governing this "Phoebenomenon" remain as enigmatic as dark matter, one thing is for certain – the celestial and professional realms are undeniably intertwined in a manner that pushes the boundaries of our understanding, simultaneously captivating and confounding researchers and stargazers alike.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Popularity of the first name Phoebe and The number of aerospace engineers in Utah. Make lots of jokes, goofy observations, and puns. 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 "Phoebenomenon": Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

[[ABSTRACT]]
The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.

While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.

[[LITERATURE REVIEW]]
In the realm of celestial nomenclature and career trends, the "Phoebenomenon" stands as an enigma that challenges conventional wisdom and cosmic coincidences alike. As we navigate through this peculiar terrain of statistical stargazing, our quest for understanding calls for a survey of existing literature and research on the interaction between celestial names and earthly vocations.
Smith, in their study "Celestial Significance in Societal Subconsciousness," traces the fascinating history of celestial names influencing cultural beliefs and individual decision-making. While their research primarily focuses on the impact of zodiac signs and planetary alignments on human behavior, it sets the stage for exploring the potential influence of the celestial name "Phoebe" on the career trajectories of aerospace engineers in Utah.
Doe's comprehensive analysis in "Astronomy in Everyday Language: Cosmic Coincidences or Celestial Causality?" provides a compelling argument for the cosmic influences on human endeavors. By examining historical trends and contemporary patterns, Doe weaves a narrative that blurs the line between celestial happenstance and cosmic conspiracies, prompting us to consider the possibility of celestial names shaping professional pathways in unexpected ways.
In a lighthearted yet informative approach, Jones, in "Stars, Names, and Everything in Between," offers a thought-provoking exploration of the cosmic and terrestrial interplay. While the focus of the study is on the symbolism of celestial bodies in literature and popular culture, Jones delves into the subconscious associations that people form with celestial names, potentially extending their impact to career choices and aspirations.
While these studies lay a solid foundation for understanding the broader context of celestial influences, our investigation takes a whimsical leap into the specific case of the name Phoebe and its improbable correlation with the aerospace engineering workforce in Utah.
Turning to non-fiction works that indirectly touch upon the cosmic thread we are unraveling, "The Elegant Universe" by Brian Greene and "Cosmos" by Carl Sagan offer compelling insights into the interconnectedness of cosmic phenomena and human experiences. Although their primary focus is on the scientific aspects of the universe, we dare not underestimate the ripple effect of celestial names on earthly affairs.
In parallel, the fictional realm presents its own reflections of celestial themes and serendipitous connections. Works such as "The Hitchhiker's Guide to the Galaxy" by Douglas Adams and "Good Omens" by Neil Gaiman and Terry Pratchett, while not directly related to our investigation, humorously illuminate the whimsical and unpredictable nature of cosmic phenomena, challenging us to embrace the absurd and the improbable.
Drawing inspiration from the realm of board games, "Cosmic Encounter" and "Terraforming Mars" enliven our contemplation of celestial forces and their potential influence on human endeavors, albeit in a playful and fictional context.
In our pursuit of untangling the "Phoebenomenon," these diverse sources buoy our spirits and invite us to approach the perplexing correlation with a blend of scholarly gravitas and cosmic whimsy.
As we venture deeper into the celestial labyrinth of empirical exploration, let us remember that amid the stars and statistical constellations, the improbable may yet prove to be the impossible-turned-inevitable.

[[RESULTS]]
The analysis of the data collected from the US Social Security Administration and the Bureau of Labor Statistics unveiled an astronomical correlation between the phenomenon we've endearingly dubbed the "Phoebenomenon." Our exploratory voyage through the cosmic and professional spheres has confirmed a striking correlation coefficient of 0.8547835, which, in scientific terms, is as rare as finding a shooting star in the data galaxy. With an r-squared of 0.7306549 and a sizzling p-value of less than 0.01, the evidence of this celestial-cum-professional linkage is more convincing than the discovery of a new planet in the data universe.
The grand revelation is graphically depicted in Fig. 1, a scatterplot that portrays the breathtaking dance between the popularity of the name Phoebe and the population of aerospace engineers in Utah. Behold the beguiling pattern akin to the gravitational pull of celestial bodies, drawing the attention of even the most seasoned statistical astronauts.
This groundbreaking correlation prompts us to ponder the cosmic forces at play, as if the very fabric of space-time itself conspires to intertwine the celestial influence of the name Phoebe with the career trajectory of aerospace engineers in Utah. The evidence is as clear as the celestial equator, leaving us with a cosmic conundrum that challenges the conventional laws of statistics.
While the exact mechanisms governing this "Phoebenomenon" remain as enigmatic as dark matter, one thing is for certain – the celestial and professional realms are undeniably intertwined in a manner that pushes the boundaries of our understanding, simultaneously captivating and confounding researchers and stargazers alike.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

The "Phoebenomenon" has undoubtedly left us starry-eyed and sky-high with its intriguing implications. Our research has illuminated a correlation between the popularity of the name Phoebe and the number of aerospace engineers in Utah, one that is as perplexing as unearthing a Mars rover in the desert. Drawing inspiration from the celestial and scientific musings encountered in the literature review, we set out to validate the celestial-cum-professional interplay and the results spoke volumes, perhaps louder than a rocket launch. The statistically significant correlation coefficient of 0.8547835 not only raised eyebrows but sent shockwaves through the statistical cosmos, echoing the uncanny alignment between Phoebe's popularity and aerospace engineering workforce in Utah.

Engaging the celestial language of statistics and scientific inquiry, our findings supported previous research that hinted at the cosmic influences on earthly vocations. We boldly treaded the celestial labyrinth, armed with statistics as telescopes and scholarly gravitas as our cosmic compass. In doing so, we aligned our results with the whimsical yet thought-provoking examination of celestial names' potential impact on career choices and aspirations, as explored by Jones. Furthermore, our work embraced the cosmic whimsy and improbable nature of celestial phenomena, akin to the fictional reflections and board game analogies from the literature review, while maintaining scholarly rigor.

The discovery of this interstellar correlation has implications that extend beyond statistical constellations. It prompts us to reconsider the interconnectedness of celestial phenomena and human experiences, akin to the narrative woven by Brian Greene and Carl Sagan in "The Elegant Universe" and "Cosmos." In addition, the discovery challenges us to embrace the absurd and the improbable, as humorously illuminated in the fictional works of Douglas Adams, Neil Gaiman, and Terry Pratchett. Our findings carry the weight of statistical proof, bearing the potential to revolutionize our understanding of the nexus between celestial happenstance and professional pathways.

As we soar through the cosmic conundrum of the "Phoebenomenon" and ponder the inexplicable celestial and professional forces at play, it becomes evident that the interplay between the name Phoebe and the aerospace engineering workforce in Utah defies conventional statistical laws, leaving us in an orbit of bewildering wonderment. The "Phoebenomenon" not only sparks scholarly intrigue but also invites us to gaze into the star-studded abyss of statistical and celestial influences with a blend of scholarly gravitas and cosmic whimsy.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Popularity of the first name Phoebe and The number of aerospace engineers in Utah. Make lots of jokes, goofy observations, and puns. 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 "Phoebenomenon": Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah

[[ABSTRACT]]
The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.

While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.

[[INTRDUCTION]]
Welcome, cosmic wanderers and statistical stargazers, to our saga of the "Phoebenomenon," where we embark on a mission to unravel the enigmatic connection between the popularity of the heavenly name Phoebe and the earthly occupation of aerospace engineering in Utah. While many may raise an eyebrow and ponder, "What in the name of Newton's apple pie is this about?" we assure you that our findings are as intriguing as a black hole's event horizon.
In this jocular journey through the celestial and terrestrial realms of data science, we aim to shed light on the astonishing correlation between the ebb and flow of Phoebes and aerospace engineers. Picture this: as Phoebes wax and wane in popularity, so do the numbers of aerospace engineers in the Beehive State; a statistical ballet that would make Galileo do a celestial double-take.
Our investigation takes flight with data collected from the US Social Security Administration, where the frequency of "Phoebe" sightings was tabulated alongside the Bureau of Labor Statistics' records of aerospace engineering employment in Utah. Embarking on this cosmic quest, we uncovered a correlation coefficient that could rival the laws of thermodynamics – a potent 0.8547835 with a p-value less than 0.01, signifying a gravitational tug between the variables more forceful than a planet orbiting its star.
But before you dismiss our findings as statistical shenanigans or mere coincidence, we ask you to consider this: the celestial body, Phoebe, might just be exercising its gravitational pull on unsuspecting career choices in the aerospace industry. Who would have thought that the name Phoebe could wield such astrological influence on Utah's aerospace engineers? It's as if the cosmos conspired to name-drop its celestial prowess in the earthly realm of workforce demographics.
So, dear readers, fasten your seatbelts as we navigate the asteroid belt of statistical anomalies and peek behind the cosmic curtain at this "out-of-this-world" relationship. Our data may present a puzzle that even the sphinx of statistical analysis would find baffling, but we invite you to join us in this astronomical adventure. The implications of our startling findings promise to propel us into uncharted celestial territories, where the name Phoebe echoes through the cosmos and the aerospace dreams of Utah engineers take flight.

[[RESULTS]]
The analysis of the data collected from the US Social Security Administration and the Bureau of Labor Statistics unveiled an astronomical correlation between the phenomenon we've endearingly dubbed the "Phoebenomenon." Our exploratory voyage through the cosmic and professional spheres has confirmed a striking correlation coefficient of 0.8547835, which, in scientific terms, is as rare as finding a shooting star in the data galaxy. With an r-squared of 0.7306549 and a sizzling p-value of less than 0.01, the evidence of this celestial-cum-professional linkage is more convincing than the discovery of a new planet in the data universe.
The grand revelation is graphically depicted in Fig. 1, a scatterplot that portrays the breathtaking dance between the popularity of the name Phoebe and the population of aerospace engineers in Utah. Behold the beguiling pattern akin to the gravitational pull of celestial bodies, drawing the attention of even the most seasoned statistical astronauts.
This groundbreaking correlation prompts us to ponder the cosmic forces at play, as if the very fabric of space-time itself conspires to intertwine the celestial influence of the name Phoebe with the career trajectory of aerospace engineers in Utah. The evidence is as clear as the celestial equator, leaving us with a cosmic conundrum that challenges the conventional laws of statistics.
While the exact mechanisms governing this "Phoebenomenon" remain as enigmatic as dark matter, one thing is for certain – the celestial and professional realms are undeniably intertwined in a manner that pushes the boundaries of our understanding, simultaneously captivating and confounding researchers and stargazers alike.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has unveiled a celestial conundrum that defies statistical gravity - the "Phoebenomenon" is more than just a whimsical play on words; it's a cosmic ballet involving a name and a career path, as intertwined as Newton's apple and gravity.

As we bid adieu to our celestial sojourn, it's clear that the stars have aligned to reveal a statistical anomaly that's as surprising as a comet crashing a lunar party. The uncanny correlation coefficient of 0.8547835 is a statistical marvel, akin to discovering a moon made of cheese within our data universe. Our findings suggest that the name Phoebe exerts a force more potent than a black hole, drawing aerospace engineers to Utah like moths to a celestial flame.

While some may raise an eyebrow and question the serious scholarly pursuit of such celestial whimsy, we stand firm in our belief that this "Phoebenomenon" warrants further investigation. And yet, as we gaze upon the cosmic dance of data points and p-values, we're also inclined to acknowledge the quirky, whimsical nature of this statistical curiosity - a gentle reminder that even in the world of research, there's room for a little cosmic humor.

In the wise words of Carl Sagan, "Somewhere, something incredible is waiting to be known." And in the case of our "Phoebenomenon," it seems that somewhere in the celestial and professional realms, a cosmic joke is waiting to be discovered.

With that said, we assert that no further research is needed in this area. The "Phoebenomenon" shall remain a delightful statistical quirk, an enigma that tickles the fancy of researchers and stargazers alike, reminding us that sometimes, in the immeasurable expanse of data, there's room for a little celestial silliness.


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 Phoebenomenon: Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Extraterrestrial Engineering and Phenomena


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 Phoebenomenon: Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Cosmic Anomalies Research (ICAR)


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 Phoebenomenon: Exploring the Interstellar Influence of Phoebe on Aerospace Engineers in Utah with an abstract of The "Phoebenomenon" describes the peculiar connection between the popularity of the first name Phoebe and the number of aerospace engineers in the state of Utah. Despite its seemingly far-fetched nature, the research findings reveal a surprising correlation between the two variables. Utilizing data from the US Social Security Administration and the Bureau of Labor Statistics from 2003 to 2019, our research team calculated a correlation coefficient of 0.8547835 with a p-value less than 0.01. This suggests a strong relationship between the rise and fall of the name Phoebe and the fluctuations in the aerospace engineering workforce in Utah.
While the causality remains a mystery, our analysis presents compelling evidence that the cosmic force of Phoebe may be inherently linked to the gravitational pull of aerospace engineering opportunities in Utah. We delve into the uncanny patterns and statistical anomalies, shedding light on this "out-of-this-world" correlation. The implications of our findings are not to be taken lightly, as they prompt further investigation at the intersection of celestial nomenclature and career choices.

ChatGPT:

Phoebenomenon, Phoebe, aerospace engineers, Utah, correlation, US Social Security Administration, Bureau of Labor Statistics, cosmic force, gravitational pull, celestial nomenclature, career choices

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

The number of aerospace engineers in Utah
Detailed data title: BLS estimate of aerospace engineers in Utah
Source: Bureau of Larbor Statistics
See what else correlates with The number of aerospace engineers in Utah

Correlation r = 0.8547835 (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 = 0.7306549 (Coefficient of determination)
This means 73.1% of the change in the one variable (i.e., The number of aerospace engineers in Utah) is predictable based on the change in the other (i.e., Popularity of the first name Phoebe) over the 17 years from 2003 through 2019.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.2E-5. 0.0000123913511645366390000000
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 0.85 in 0.0012% of random cases. Said differently, if you correlated 80,701 random variables You don't actually need 80 thousand 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 16 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 16 because we have two variables measured over a period of 17 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.

[ 0.64, 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.
20032004200520062007200820092010201120122013201420152016201720182019
Popularity of the first name Phoebe (Babies born)68975773089098895910171040102210601065110311181034102110251149
The number of aerospace engineers in Utah (Aerospace Engineers)19020061057091075068089091084080010209007105807001130




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([689,757,730,890,988,959,1017,1040,1022,1060,1065,1103,1118,1034,1021,1025,1149,])
array_2 = np.array([190,200,610,570,910,750,680,890,910,840,800,1020,900,710,580,700,1130,])
array_1_name = "Popularity of the first name Phoebe"
array_2_name = "The number of aerospace engineers in Utah"

# 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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When spoken, my last name is pronounced "vegan," like I don't eat meat.

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Correlation ID: 2382 · Black Variable ID: 2989 · Red Variable ID: 14988
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