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Spurious correlation #2,435 · 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 Aubree and the second variable is UFO sightings in Vermont.  The chart goes from 1975 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the name Aubree gained popularity, more and more parents unknowingly invoked the ancient alien word for "gather here." This unintentional summoning led to a spike in UFO interest, drawing extraterrestrial tourists to the picturesque skies of Vermont. It seems even the littlest humans have the cosmic power to attract some otherworldly attention!

Model: dalle-3
Prompt: Prompt: Generate a cutesy art illustration of a cheerful rural town in Vermont at nighttime, with a starry sky overhead and a cluster of colorful UFOs swirling above the rooftops. In the center of the scene, show a group of adorably drawn babies named Aubree, each with a glowing aura around them, seemingly attracting the UFOs with their presence. The town should be depicted with a cozy and quaint atmosphere, and the UFOs should emit a soft, friendly glow to create an enchanting and otherworldly feeling. 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 Aubree and UFO sightings in Vermont. 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: Cybernetic art Vaporwave Voxel art Cutsy art illustration Cyberpunk
ChatGPT: Cutsy art illustration

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 Aubree and UFO sightings in Vermont, in the following situation: As the number of Aubrees increased, so did the cosmic energy around Vermont, inadvertently attracting more UFO activity to the state. It seems the name Aubree has a quantum entanglement with interstellar beings, leading to a statistical correlation between the two seemingly unrelated phenomena.. Keep the description simple.
ChatGPT: In a rural town in Vermont, the frequency of UFO sightings increased as the popularity of the name Aubree soared. Bright lights and unidentified objects danced in the night sky, seemingly drawn to the growing number of babies named Aubree in the area. The town buzzed with awe and speculation as the celestial events became intertwined with the rise of the name Aubree, creating an otherworldly and enigmatic atmosphere.

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: [ Cutsy art illustration ] and depicting this scene: In a rural town in Vermont, the frequency of UFO sightings increased as the popularity of the name Aubree soared. Bright lights and unidentified objects danced in the night sky, seemingly drawn to the growing number of babies named Aubree in the area. The town buzzed with awe and speculation as the celestial events became intertwined with the rise of the name Aubree, creating an otherworldly and enigmatic atmosphere. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate a cutesy art illustration of a cheerful rural town in Vermont at nighttime, with a starry sky overhead and a cluster of colorful UFOs swirling above the rooftops. In the center of the scene, show a group of adorably drawn babies named Aubree, each with a glowing aura around them, seemingly attracting the UFOs with their presence. The town should be depicted with a cozy and quaint atmosphere, and the UFOs should emit a soft, friendly glow to create an enchanting and otherworldly feeling.

*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 Aubree caused UFO sightings in Vermont to increase.

AI academic paper

(Because p < 0.01)
The Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

The Journal of Anomalous Phenomena Research

Jan 2024

Reminder: This paper is AI-generated. Not real!
Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.




Model: gpt-3.5-turbo-1106
System prompt: You are a 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 Aubree and UFO sightings in Vermont. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from US Social Security Administration and National UFO Reporting Center to assess this nagging question. You found a correlation coefficient of 0.9002515 and p < 0.01 for 1975 to 2021.

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

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
The Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

[[ABSTRACT]]
This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.


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 Aubree and UFO sightings in Vermont. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

[[ABSTRACT]]
This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The intersection of terrestrial nomenclature and extraterrestrial encounters has long been a topic of curiosity, suspicion, and, dare we say, amusement. In the annals of scientific inquiry, it is not often that one finds oneself delving into the enigmatic entanglement of first names and close encounters of the third kind. However, as astute researchers, it is our duty to courageously venture into uncharted territories, even if it takes us beyond the stars and into the ether of statistical anomalies and whimsical correlations.

In the grand tradition of esoteric studies and peculiar phenomena, our investigation set out to discern the connection, if any, between the prevalence of the name Aubree and the reported sightings of unidentified flying objects (UFOs) in the picturesque and ever-enigmatic state of Vermont. We embarked on this expedition armed with an arsenal of data from the US Social Security Administration, which dutifully documents the ebb and flow of monikers, and the National UFO Reporting Center, a repository of otherworldly testimonies spanning several decades.

As with any scientific expedition, we encountered our fair share of skepticism and raised eyebrows when we first disclosed the nature of our inquiry. Yet, undeterred by the raised eyebrows and incredulous looks, we forged ahead, guided by our intrepid curiosity and a staunch belief in the power of statistical analysis to reveal hidden patterns lurking within the mundane and the inexplicable.

It is with great pleasure, and perhaps a hint of bemusement, that we present the fruits of our labor in this paper. Our findings, to put it mildly, can be described as... unexpected. So unexpected, in fact, that they might warrant a collective groan or a knowing chuckle. Nevertheless, we implore our esteemed readers to approach our results with an open mind and a sprinkle of good humor, for in the realm of scientific inquiry, serendipity often comes clad in the garb of whimsy.

So, buckle up, as we embark on a journey through the cosmos of data, statistics, and the improbable, guided by an intrepid spirit and a healthy dose of skepticism. Together, let us unravel the curious tale of Aubree's aura and its potential interstellar reverberations.


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 Aubree and UFO sightings in Vermont. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
The Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

[[ABSTRACT]]
This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The intersection of terrestrial nomenclature and extraterrestrial encounters has long been a topic of curiosity, suspicion, and, dare we say, amusement. In the annals of scientific inquiry, it is not often that one finds oneself delving into the enigmatic entanglement of first names and close encounters of the third kind. However, as astute researchers, it is our duty to courageously venture into uncharted territories, even if it takes us beyond the stars and into the ether of statistical anomalies and whimsical correlations.
In the grand tradition of esoteric studies and peculiar phenomena, our investigation set out to discern the connection, if any, between the prevalence of the name Aubree and the reported sightings of unidentified flying objects (UFOs) in the picturesque and ever-enigmatic state of Vermont. We embarked on this expedition armed with an arsenal of data from the US Social Security Administration, which dutifully documents the ebb and flow of monikers, and the National UFO Reporting Center, a repository of otherworldly testimonies spanning several decades.
As with any scientific expedition, we encountered our fair share of skepticism and raised eyebrows when we first disclosed the nature of our inquiry. Yet, undeterred by the raised eyebrows and incredulous looks, we forged ahead, guided by our intrepid curiosity and a staunch belief in the power of statistical analysis to reveal hidden patterns lurking within the mundane and the inexplicable.
It is with great pleasure, and perhaps a hint of bemusement, that we present the fruits of our labor in this paper. Our findings, to put it mildly, can be described as... unexpected. So unexpected, in fact, that they might warrant a collective groan or a knowing chuckle. Nevertheless, we implore our esteemed readers to approach our results with an open mind and a sprinkle of good humor, for in the realm of scientific inquiry, serendipity often comes clad in the garb of whimsy.
So, buckle up, as we embark on a journey through the cosmos of data, statistics, and the improbable, guided by an intrepid spirit and a healthy dose of skepticism. Together, let us unravel the curious tale of Aubree's aura and its potential interstellar reverberations.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In "Smith et al.," the authors find an unexpected correlation between the prevalence of the first name Aubree and reported UFO sightings in the state of Vermont. This seemingly inexplicable relationship has sparked a renewed interest in the field of anomalistic nomenclature and extraterrestrial encounters. As we delve into the annals of scholarly inquiry, it becomes evident that the peculiar connection between nomenclature and cosmic phenomena is not a topic widely explored within traditional research paradigms.

Doe and Jones, in their seminal work on "Celestial Monikers and Unearthly Encounters," present a comprehensive analysis of the frequency of various names and their alleged association with sightings of unidentified flying objects. Their study offers a sobering glimpse into the hitherto uncharted territory of celestial appellations and otherworldly visitations, cementing the foundation for our current investigation.

Expanding beyond the realm of academic discourse, the literature surrounding the broader themes of UFO sightings and unconventional nomenclature provides an intriguing backdrop for our inquiry. "The UFO Phenomenon: Fact, Fantasy, and the Unexplained" by Jenny Randles and "Aliens in America: A UFO Hunter's Guide to Extraterrestrial Hotpsots Across the U.S." by William J. Birnes offer comprehensive overviews of alleged extraterrestrial activities, stimulating curiosity and inviting readers to ponder the enigmatic correlation between name popularity and cosmic encounters.

Turning to fiction, the works of science fiction authors such as H.G. Wells, whose seminal book "The War of the Worlds," and Douglas Adams' "The Hitchhiker's Guide to the Galaxy," breathe life into fantastical scenarios that intertwine the terrestrial and extraterrestrial realms. While firmly situated in the domain of imagination, these narratives echo the underlying fascination with the unknown and the unexplained, a sentiment that pervades our study.

Amidst the modern digital zeitgeist, internet memes such as the "Aliens Guy" and "Area 51 Raid" have permeated popular culture, provoking both amusement and contemplation regarding humanity's enduring fascination with the cosmos and its hypothetical denizens. These cultural artifacts serve as a lighthearted reminder of the pervasive allure of extraterrestrial themes and their intersection with contemporary discourse.

In synthesizing the diverse array of literature on this subject, we are reminded that the interplay between nomenclature and cosmic phenomena is not merely an academic pursuit but a testament to the enduring human fascination with the enigmatic and the outlandish. As we navigate the landscape of scholarly works, fictional narratives, and cultural ephemera, we are compelled to adopt a perspective that seeks to illuminate the unexpected, embrace the peculiar, and perhaps, indulge in the occasional cosmic pun.


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 Aubree and UFO sightings in Vermont. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 National UFO Reporting Center . You used data from 1975 to 2021

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

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
The Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

[[ABSTRACT]]
This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.

[[INTRODUCTION]]
The intersection of terrestrial nomenclature and extraterrestrial encounters has long been a topic of curiosity, suspicion, and, dare we say, amusement. In the annals of scientific inquiry, it is not often that one finds oneself delving into the enigmatic entanglement of first names and close encounters of the third kind. However, as astute researchers, it is our duty to courageously venture into uncharted territories, even if it takes us beyond the stars and into the ether of statistical anomalies and whimsical correlations.
In the grand tradition of esoteric studies and peculiar phenomena, our investigation set out to discern the connection, if any, between the prevalence of the name Aubree and the reported sightings of unidentified flying objects (UFOs) in the picturesque and ever-enigmatic state of Vermont. We embarked on this expedition armed with an arsenal of data from the US Social Security Administration, which dutifully documents the ebb and flow of monikers, and the National UFO Reporting Center, a repository of otherworldly testimonies spanning several decades.
As with any scientific expedition, we encountered our fair share of skepticism and raised eyebrows when we first disclosed the nature of our inquiry. Yet, undeterred by the raised eyebrows and incredulous looks, we forged ahead, guided by our intrepid curiosity and a staunch belief in the power of statistical analysis to reveal hidden patterns lurking within the mundane and the inexplicable.
It is with great pleasure, and perhaps a hint of bemusement, that we present the fruits of our labor in this paper. Our findings, to put it mildly, can be described as... unexpected. So unexpected, in fact, that they might warrant a collective groan or a knowing chuckle. Nevertheless, we implore our esteemed readers to approach our results with an open mind and a sprinkle of good humor, for in the realm of scientific inquiry, serendipity often comes clad in the garb of whimsy.
So, buckle up, as we embark on a journey through the cosmos of data, statistics, and the improbable, guided by an intrepid spirit and a healthy dose of skepticism. Together, let us unravel the curious tale of Aubree's aura and its potential interstellar reverberations.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the purported correlation between the popularity of the first name Aubree and UFO sightings in Vermont, a multidimensional approach was employed. Firstly, data on the prevalence of the name Aubree was sourced from the US Social Security Administration, spanning the years 1975 to 2021. This extensive dataset provided a comprehensive overview of the ebb and flow of this particular nomenclatural phenomenon, allowing for a meticulous examination of its temporal trends.

Concurrently, reports of UFO sightings in the state of Vermont were extracted from the National UFO Reporting Center's archives for the same period. This compilation of otherworldly encounters served as the primary source for quantifying the frequency and spatial distribution of extraterrestrial phenomena within Vermont's borders.

Having amassed these eclectic datasets, the next step involved imposing upon them the rigors of statistical analysis, all in the name of unraveling the enigmatic relationship between Aubree and alien apparitions. Measures of central tendency and dispersion were calculated to capture the essence of Aubree's popularity over time, while spatial clustering techniques were employed to discern patterns in the reported UFO sightings across Vermont's ethereal landscape.

To quantify the strength and direction of the purported association, a correlation coefficient was computed, accompanied by a rigorous assessment of its statistical significance. Notably, the Pearson correlation coefficient yielded a striking value of 0.9002515, with a p-value of less than 0.01, indicative of a robust and compelling connection between the two seemingly disparate variables.

Furthermore, to mitigate potential confounding factors, additional exploratory analyses were conducted to ascertain the robustness of the observed relationship. Sensitivity analyses were also performed to evaluate the influence of extraneous variables, including celestial phenomena, societal trends, and perhaps even the occasional mass hallucination.

In keeping with the cheeky nature of our inquiry, the statistical analysis was imbued with a healthy dose of whimsy and a penchant for unexpected revelations. It is the spirit of scientific inquiry, after all, to approach uncharted territories with a combination of sobriety and levity, as we delve into the unfathomable quirks of the cosmos, statistical or otherwise.

Armed with our peculiar datasets and a sturdy framework of statistical analyses, we hastened to unveil the silver lining of our curious expedition – the unforeseen link between Aubree's aura and Vermont's flirtations with the unknown. Our academic pursuit, while undoubtedly off-kilter, promises to bestow upon the scientific community a hearty chuckle and, perchance, an enlightening perspective on the whimsical vicissitudes of data-driven inquiry.


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 Aubree and UFO sightings in Vermont. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 National UFO Reporting Center .

For the time period 1975 to 2021, you found a correlation 0.9002515, r-squared of 0.8104528, 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 Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

[[ABSTRACT]]
This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The intersection of terrestrial nomenclature and extraterrestrial encounters has long been a topic of curiosity, suspicion, and, dare we say, amusement. In the annals of scientific inquiry, it is not often that one finds oneself delving into the enigmatic entanglement of first names and close encounters of the third kind. However, as astute researchers, it is our duty to courageously venture into uncharted territories, even if it takes us beyond the stars and into the ether of statistical anomalies and whimsical correlations.
In the grand tradition of esoteric studies and peculiar phenomena, our investigation set out to discern the connection, if any, between the prevalence of the name Aubree and the reported sightings of unidentified flying objects (UFOs) in the picturesque and ever-enigmatic state of Vermont. We embarked on this expedition armed with an arsenal of data from the US Social Security Administration, which dutifully documents the ebb and flow of monikers, and the National UFO Reporting Center, a repository of otherworldly testimonies spanning several decades.
As with any scientific expedition, we encountered our fair share of skepticism and raised eyebrows when we first disclosed the nature of our inquiry. Yet, undeterred by the raised eyebrows and incredulous looks, we forged ahead, guided by our intrepid curiosity and a staunch belief in the power of statistical analysis to reveal hidden patterns lurking within the mundane and the inexplicable.
It is with great pleasure, and perhaps a hint of bemusement, that we present the fruits of our labor in this paper. Our findings, to put it mildly, can be described as... unexpected. So unexpected, in fact, that they might warrant a collective groan or a knowing chuckle. Nevertheless, we implore our esteemed readers to approach our results with an open mind and a sprinkle of good humor, for in the realm of scientific inquiry, serendipity often comes clad in the garb of whimsy.
So, buckle up, as we embark on a journey through the cosmos of data, statistics, and the improbable, guided by an intrepid spirit and a healthy dose of skepticism. Together, let us unravel the curious tale of Aubree's aura and its potential interstellar reverberations.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis conducted on the data collected from the US Social Security Administration and the National UFO Reporting Center has brought to light an intriguing correlation between the popularity of the first name Aubree and the frequency of UFO sightings in Vermont. The correlation coefficient of 0.9002515 suggests a strong positive relationship between these seemingly disparate variables, with an r-squared value of 0.8104528, denoting a substantial portion of the variation in UFO sightings being explained by the popularity of the name Aubree. Furthermore, the p-value of less than 0.01 indicates that this correlation is highly unlikely to have occurred by chance.

Figure 1 depicts the scatterplot illustrating the compelling correlation between the prevalence of the name Aubree and reported UFO sightings in Vermont. The scatterplot vividly captures the unmistakable pattern, serving as a visual testament to the unexpected yet undeniable relationship uncovered by our analysis.

The discovery of such a robust correlation invites a whimsical reconsideration of the relationship between nomenclature and otherworldly phenomena, teasing at the playful interplay of human appellations and the mysteries of the universe. It is a reminder that in the realm of scientific exploration, curiosity may lead us to the most fascinating and unanticipated revelations, tucked away amidst the otherwise mundane or inexplicable.

Our results not only challenge conventional wisdom but also inspire a sense of wonder and bemusement at the interconnectedness of seemingly unrelated phenomena. While we recognize the inherent lightheartedness of our findings, we are confident that this unanticipated correlation will spark further research and contemplation, proving that even in the analytical world of statistics, there is room for playful curiosity and unexpected discoveries.


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 Aubree and UFO sightings in Vermont. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

[[ABSTRACT]]
This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.

[[LITERATURE REVIEW]]
In "Smith et al.," the authors find an unexpected correlation between the prevalence of the first name Aubree and reported UFO sightings in the state of Vermont. This seemingly inexplicable relationship has sparked a renewed interest in the field of anomalistic nomenclature and extraterrestrial encounters. As we delve into the annals of scholarly inquiry, it becomes evident that the peculiar connection between nomenclature and cosmic phenomena is not a topic widely explored within traditional research paradigms.
Doe and Jones, in their seminal work on "Celestial Monikers and Unearthly Encounters," present a comprehensive analysis of the frequency of various names and their alleged association with sightings of unidentified flying objects. Their study offers a sobering glimpse into the hitherto uncharted territory of celestial appellations and otherworldly visitations, cementing the foundation for our current investigation.
Expanding beyond the realm of academic discourse, the literature surrounding the broader themes of UFO sightings and unconventional nomenclature provides an intriguing backdrop for our inquiry. "The UFO Phenomenon: Fact, Fantasy, and the Unexplained" by Jenny Randles and "Aliens in America: A UFO Hunter's Guide to Extraterrestrial Hotpsots Across the U.S." by William J. Birnes offer comprehensive overviews of alleged extraterrestrial activities, stimulating curiosity and inviting readers to ponder the enigmatic correlation between name popularity and cosmic encounters.
Turning to fiction, the works of science fiction authors such as H.G. Wells, whose seminal book "The War of the Worlds," and Douglas Adams' "The Hitchhiker's Guide to the Galaxy," breathe life into fantastical scenarios that intertwine the terrestrial and extraterrestrial realms. While firmly situated in the domain of imagination, these narratives echo the underlying fascination with the unknown and the unexplained, a sentiment that pervades our study.
Amidst the modern digital zeitgeist, internet memes such as the "Aliens Guy" and "Area 51 Raid" have permeated popular culture, provoking both amusement and contemplation regarding humanity's enduring fascination with the cosmos and its hypothetical denizens. These cultural artifacts serve as a lighthearted reminder of the pervasive allure of extraterrestrial themes and their intersection with contemporary discourse.
In synthesizing the diverse array of literature on this subject, we are reminded that the interplay between nomenclature and cosmic phenomena is not merely an academic pursuit but a testament to the enduring human fascination with the enigmatic and the outlandish. As we navigate the landscape of scholarly works, fictional narratives, and cultural ephemera, we are compelled to adopt a perspective that seeks to illuminate the unexpected, embrace the peculiar, and perhaps, indulge in the occasional cosmic pun.

[[RESULTS]]
The statistical analysis conducted on the data collected from the US Social Security Administration and the National UFO Reporting Center has brought to light an intriguing correlation between the popularity of the first name Aubree and the frequency of UFO sightings in Vermont. The correlation coefficient of 0.9002515 suggests a strong positive relationship between these seemingly disparate variables, with an r-squared value of 0.8104528, denoting a substantial portion of the variation in UFO sightings being explained by the popularity of the name Aubree. Furthermore, the p-value of less than 0.01 indicates that this correlation is highly unlikely to have occurred by chance.
Figure 1 depicts the scatterplot illustrating the compelling correlation between the prevalence of the name Aubree and reported UFO sightings in Vermont. The scatterplot vividly captures the unmistakable pattern, serving as a visual testament to the unexpected yet undeniable relationship uncovered by our analysis.
The discovery of such a robust correlation invites a whimsical reconsideration of the relationship between nomenclature and otherworldly phenomena, teasing at the playful interplay of human appellations and the mysteries of the universe. It is a reminder that in the realm of scientific exploration, curiosity may lead us to the most fascinating and unanticipated revelations, tucked away amidst the otherwise mundane or inexplicable.
Our results not only challenge conventional wisdom but also inspire a sense of wonder and bemusement at the interconnectedness of seemingly unrelated phenomena. While we recognize the inherent lightheartedness of our findings, we are confident that this unanticipated correlation will spark further research and contemplation, proving that even in the analytical world of statistics, there is room for playful curiosity and unexpected discoveries.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The findings of our study have unveiled an extraordinary correlation between the popularity of the first name Aubree and the frequency of UFO sightings in Vermont, effectively initiating a lighthearted conversation about the cosmic allure of this anomalous association. The substantial correlation coefficient of 0.9002515 and the associated p-value less than 0.01 provide empirical support for the unexpected connection alluded to in the existing literature.

Revisiting the literature, we are compelled to delve into the noteworthy observation made by Smith et al. concerning the prevalence of the name Aubree and its peculiar alignment with reported UFO sightings in Vermont. While initially seemingly outlandish, our results lend credence to this amusing proposition, casting the spotlight on the unforeseen role of nomenclature in influencing extraterrestrial interactions.

Furthermore, our findings echo the sentiments elucidated by Doe and Jones, underscoring the enigmatic interplay between celestial monikers and unearthly encounters. The statistically robust relationship between the popularity of the name Aubree and UFO sightings reaffirms the gravity of this seemingly whimsical exploration, prompting a closer examination of the extraordinary interconnectedness between human appellations and cosmic anomalies.

Extricating ourselves from the stratum of scholarly inquiry, our results resonate with the underlying humor and curiosity present in the cultural artifacts emblematic of our modern digital epoch. The "Aliens Guy" meme and the infamous "Area 51 Raid" now take on an unexpected depth of relevance, inviting a playful reconsideration of the cosmic puns and jests embedded within our societal discourse.

As we navigate the whimsical landscape of statistical analysis, the undeniable correlation provides a compelling testimony to the playful interplay between name popularity and cosmic occurrences, compelling us to embrace the unexpected and indulge in the occasional cosmic jest. In doing so, we are reminded that even in the empirical pursuit of knowledge, there exists ample room for whimsy and contemplation of the whimsical and unanticipated.


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 Aubree and UFO sightings in Vermont. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont

[[ABSTRACT]]
This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.

[[INTRDUCTION]]
The intersection of terrestrial nomenclature and extraterrestrial encounters has long been a topic of curiosity, suspicion, and, dare we say, amusement. In the annals of scientific inquiry, it is not often that one finds oneself delving into the enigmatic entanglement of first names and close encounters of the third kind. However, as astute researchers, it is our duty to courageously venture into uncharted territories, even if it takes us beyond the stars and into the ether of statistical anomalies and whimsical correlations.
In the grand tradition of esoteric studies and peculiar phenomena, our investigation set out to discern the connection, if any, between the prevalence of the name Aubree and the reported sightings of unidentified flying objects (UFOs) in the picturesque and ever-enigmatic state of Vermont. We embarked on this expedition armed with an arsenal of data from the US Social Security Administration, which dutifully documents the ebb and flow of monikers, and the National UFO Reporting Center, a repository of otherworldly testimonies spanning several decades.
As with any scientific expedition, we encountered our fair share of skepticism and raised eyebrows when we first disclosed the nature of our inquiry. Yet, undeterred by the raised eyebrows and incredulous looks, we forged ahead, guided by our intrepid curiosity and a staunch belief in the power of statistical analysis to reveal hidden patterns lurking within the mundane and the inexplicable.
It is with great pleasure, and perhaps a hint of bemusement, that we present the fruits of our labor in this paper. Our findings, to put it mildly, can be described as... unexpected. So unexpected, in fact, that they might warrant a collective groan or a knowing chuckle. Nevertheless, we implore our esteemed readers to approach our results with an open mind and a sprinkle of good humor, for in the realm of scientific inquiry, serendipity often comes clad in the garb of whimsy.
So, buckle up, as we embark on a journey through the cosmos of data, statistics, and the improbable, guided by an intrepid spirit and a healthy dose of skepticism. Together, let us unravel the curious tale of Aubree's aura and its potential interstellar reverberations.

[[RESULTS]]
The statistical analysis conducted on the data collected from the US Social Security Administration and the National UFO Reporting Center has brought to light an intriguing correlation between the popularity of the first name Aubree and the frequency of UFO sightings in Vermont. The correlation coefficient of 0.9002515 suggests a strong positive relationship between these seemingly disparate variables, with an r-squared value of 0.8104528, denoting a substantial portion of the variation in UFO sightings being explained by the popularity of the name Aubree. Furthermore, the p-value of less than 0.01 indicates that this correlation is highly unlikely to have occurred by chance.
Figure 1 depicts the scatterplot illustrating the compelling correlation between the prevalence of the name Aubree and reported UFO sightings in Vermont. The scatterplot vividly captures the unmistakable pattern, serving as a visual testament to the unexpected yet undeniable relationship uncovered by our analysis.
The discovery of such a robust correlation invites a whimsical reconsideration of the relationship between nomenclature and otherworldly phenomena, teasing at the playful interplay of human appellations and the mysteries of the universe. It is a reminder that in the realm of scientific exploration, curiosity may lead us to the most fascinating and unanticipated revelations, tucked away amidst the otherwise mundane or inexplicable.
Our results not only challenge conventional wisdom but also inspire a sense of wonder and bemusement at the interconnectedness of seemingly unrelated phenomena. While we recognize the inherent lightheartedness of our findings, we are confident that this unanticipated correlation will spark further research and contemplation, proving that even in the analytical world of statistics, there is room for playful curiosity and unexpected discoveries.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

As we conclude this journey through the whimsical world of statistical anomalies and the uncharted terrain of extraterrestrial odysseys, we are left with a tapestry of data that not only challenges our preconceptions but also tickles our scientific curiosity. The correlation between the popularity of the first name Aubree and UFO sightings in Vermont, albeit unexpected, serves as a gentle yet firm reminder that in the realm of empirical inquiry, even the most improbable associations may reveal themselves under the scrutiny of rigorous statistical analysis.

Our findings, while worthy of a lighthearted chuckle, serve as an ode to the delightful caprices of scientific exploration. As we traverse the labyrinthine corridors of data and delve into the enigmatic realm of UFO sightings, we are greeted not only by statistical significance but also by a mischievous wink from the universe at large.

The tongue-in-cheek correlation between Aubree's aura and Vermont's extraterrestrial encounters paints a picture not only of scientific serendipity but also of the endless possibilities lurking within the domain of statistical inquiry. In the words of Carl Sagan, "Somewhere, something incredible is waiting to be known," and perhaps, in the case of our curious confluence of names and sightings, that incredible something resides in the waggish dance of statistical variables and celestial mysteries.

With that said, it is our firm conviction that no further research is needed in this particular area. As we bid adieu to Aubree's celestial resonance and Vermont's cosmic visitors, we leave behind a legacy of scientific whimsy and statistical dalliance, embracing the inexplicable with a nod and a wink, for in the playful whirl of academic inquiry, sometimes the most delightful discoveries are the ones that confound our expectations and elicit a hearty, if not slightly puzzled, laugh.


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 Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Anomalous Phenomena Research


Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of nonprofit research organizations and associations. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding nonprofit, academic, or scientific association or organization that would sponsor research that resulted in a paper entited The Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Ethereal Studies and Anomalies


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 Unidentified Fun Observation: Aubree's Aura and Alien Encounters in Vermont with an abstract of This research paper investigates the unexpected correlation between the popularity of the first name Aubree and UFO sightings in Vermont, employing data from the US Social Security Administration and the National UFO Reporting Center spanning the years 1975 to 2021. Through rigorous statistical analysis, a significant correlation coefficient of 0.9002515 and p < 0.01 was identified, shedding light on this peculiar relationship. While our findings may seem "out of this world," the implications of Aubree's influence on Vermont's extraterrestrial activities deserve further exploration. This study serves as a lighthearted reminder that sometimes, truth can indeed be stranger than fiction.

ChatGPT:

Aubree, Vermont, UFO sightings, correlation, statistical analysis, US Social Security Administration, National UFO Reporting Center, extraterrestrial activities, correlation coefficient, p-value, lighthearted research, truth vs fiction.

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

UFO sightings in Vermont
Detailed data title: UFO sightings reported in Vermont
Source: National UFO Reporting Center
See what else correlates with UFO sightings in Vermont

Correlation r = 0.9002515 (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 = 0.8104528 (Coefficient of determination)
This means 81% of the change in the one variable (i.e., UFO sightings in Vermont) is predictable based on the change in the other (i.e., Popularity of the first name Aubree) over the 47 years from 1975 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 7.3E-18. 0.0000000000000000073293091809
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 7.3E-16% of random cases. Said differently, if you correlated 136,438,506,729,389,360 random variables You don't actually need 136 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 46 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 46 because we have two variables measured over a period of 47 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, 0.94 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

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


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

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
19751976197719781979198019811982198319841985198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Popularity of the first name Aubree (Babies born)29354739685159736782134121102131151178188231185208254218226250253304319352415366499746105812271164141029444050446242763634342533332785233817861549
UFO sightings in Vermont (UFO sightings)12302001101020100111003357913891610181422132255663545231722213312




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. Outlandish outliers: There are "outliers" in this data. In concept, "outlier" just means "way different than the rest of your dataset." When calculating a correlation like this, they are particularly impactful because a single outlier can substantially increase your correlation.

    For the purposes of this project, I counted a point as an outlier if it the residual was two standard deviations from the mean.

    (This bullet point only shows up in the details page on charts that do, in fact, have outliers.)
    They stand out on the scatterplot above: notice the dots that are far away from any other dots. I intentionally mishandeled outliers, which makes the correlation look extra strong.




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([29,35,47,39,68,51,59,73,67,82,134,121,102,131,151,178,188,231,185,208,254,218,226,250,253,304,319,352,415,366,499,746,1058,1227,1164,1410,2944,4050,4462,4276,3634,3425,3333,2785,2338,1786,1549,])
array_2 = np.array([1,2,3,0,2,0,0,1,1,0,1,0,2,0,1,0,0,1,1,1,0,0,3,3,5,7,9,13,8,9,16,10,18,14,22,13,22,55,66,35,45,23,17,22,21,33,12,])
array_1_name = "Popularity of the first name Aubree"
array_2_name = "UFO sightings in Vermont"

# 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 may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

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."

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

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Correlation ID: 2435 · Black Variable ID: 3571 · Red Variable ID: 1193
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