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Spurious correlation #3,473 · 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 Kennedy and the second variable is UFO sightings in Arizona.  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 Kennedy gained popularity, it began to emit a frequency that coincided with the alien communication channels. Little did we know, the Kennedys have always been the secret key to intergalactic diplomacy. And as more parents named their kids Kennedy, it created a collective beacon for the UFOs, like a cosmic meet-and-greet. The aliens just couldn't resist popping by Arizona to see what all the commotion was about. It's a close encounter of the Kennedys kind!

Model: dalle-3
Prompt: Create an image of a cluster of ethereal lights floating in the night sky over a desert landscape. The lights twinkle in mesmerizing patterns, resembling UFO sightings over a vast, arid expanse. Below, a desert playground is bustling with children engaged in joyous play. The setting is transformed by a surreal fusion of sky and land, capturing the juxtaposition of otherworldly phenomena and everyday childhood activity. There's a subtle nod to the popularity of the name "Kennedy" in the state through the presence of multiple children bearing the name, adding a touch of whimsy and local character to the scene. 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 Kennedy and UFO sightings in Arizona. 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: Cyberpunk A scene from Skyrim Art nouveau An image that looks like it is a scene from a Pixar movie Cyber folk
ChatGPT: A scene from Skyrim

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 Kennedy and UFO sightings in Arizona, in the following situation: Because as the popularity of the name Kennedy increased, more parents began to name their children after the iconic family, leading to an influx of KENNEDYs in Arizona. UFOs, mistaking the abundance of Kennedys for a reunion of the influential clan, flocked to the state in hopes of a cosmic meet and greet.. Keep the description simple.
ChatGPT: In a desert landscape in Arizona, a cluster of bright lights hovers in the night sky, representing UFO sightings. Below, a playground is filled with children, many of whom have the name Kennedy, indicating the popularity of the name in the state.

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: [ A scene from Skyrim ] and depicting this scene: In a desert landscape in Arizona, a cluster of bright lights hovers in the night sky, representing UFO sightings. Below, a playground is filled with children, many of whom have the name Kennedy, indicating the popularity of the name in the state. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Create an image of a cluster of ethereal lights floating in the night sky over a desert landscape. The lights twinkle in mesmerizing patterns, resembling UFO sightings over a vast, arid expanse. Below, a desert playground is bustling with children engaged in joyous play. The setting is transformed by a surreal fusion of sky and land, capturing the juxtaposition of otherworldly phenomena and everyday childhood activity. There's a subtle nod to the popularity of the name "Kennedy" in the state through the presence of multiple children bearing the name, adding a touch of whimsy and local character to the scene.

*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 Kennedy caused UFO sightings in Arizona to increase.

AI academic paper

(Because p < 0.01)
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

The Journal of Extraterrestrial Anthropology and Cryptic 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 Kennedy and UFO sightings in Arizona. Make lots of jokes, goofy observations, and puns.

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

Your research team used data from US Social Security Administration and National UFO Reporting Center to assess this nagging question. You found a correlation coefficient of 0.9288935 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]]
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

[[ABSTRACT]]
This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.


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 Kennedy and UFO sightings in Arizona. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

[[ABSTRACT]]
This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As humans, we have a penchant for pondering life's most puzzling questions. Why are we here? What lies beyond the stars? And, most importantly, why do UFO sightings in Arizona seem to have a soft spot for folks named Kennedy? Yes, you read that correctly. In this peculiar and at times, downright quizzical research, we unravel the mysterious connection between the skyrocketing popularity of the first name Kennedy and the influx of unidentified flying objects in the vast, arid expanse of Arizona.

Now, you may be scratching your head and thinking, "What in the world could baby naming trends possibly have to do with close encounters of the third kind?" Trust me, dear reader, you are not alone in your bewilderment. The team of researchers behind this investigation found themselves teetering on the edge of cosmic confusion as they delved into this enigmatic correlation.

But let's not get ahead of ourselves. First, let's ground ourselves in the realm of names and numbers. The United States Social Security Administration provides a treasure trove of data on baby names bestowed upon newborns, giving us insight into society's naming preferences over the years. Conversely, the National UFO Reporting Center catalogues thousands of reports detailing extraterrestrial encounters, from spine-tingling sightings to mind-boggling abductions. By marrying these two disparate datasets, we sought to discern whether there was more than meets the eye in this celestial tango between Kennedys and UFOs.

To set the stage for our cosmic caper, we invite you to fasten your seatbelts, adjust your tinfoil hats, and join us on this investigative journey into the extraterrestrial enigma that is the Kennedy phenomenon in Arizona. It's about to get otherworldly.


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 Kennedy and UFO sightings in Arizona. 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. Then name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

[[ABSTRACT]]
This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As humans, we have a penchant for pondering life's most puzzling questions. Why are we here? What lies beyond the stars? And, most importantly, why do UFO sightings in Arizona seem to have a soft spot for folks named Kennedy? Yes, you read that correctly. In this peculiar and at times, downright quizzical research, we unravel the mysterious connection between the skyrocketing popularity of the first name Kennedy and the influx of unidentified flying objects in the vast, arid expanse of Arizona.
Now, you may be scratching your head and thinking, "What in the world could baby naming trends possibly have to do with close encounters of the third kind?" Trust me, dear reader, you are not alone in your bewilderment. The team of researchers behind this investigation found themselves teetering on the edge of cosmic confusion as they delved into this enigmatic correlation.
But let's not get ahead of ourselves. First, let's ground ourselves in the realm of names and numbers. The United States Social Security Administration provides a treasure trove of data on baby names bestowed upon newborns, giving us insight into society's naming preferences over the years. Conversely, the National UFO Reporting Center catalogues thousands of reports detailing extraterrestrial encounters, from spine-tingling sightings to mind-boggling abductions. By marrying these two disparate datasets, we sought to discern whether there was more than meets the eye in this celestial tango between Kennedys and UFOs.
To set the stage for our cosmic caper, we invite you to fasten your seatbelts, adjust your tinfoil hats, and join us on this investigative journey into the extraterrestrial enigma that is the Kennedy phenomenon in Arizona. It's about to get otherworldly.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The unusual intersection of celestial encounters and moniker trends has sparked a torrent of scholarly inquiry over the years. Smith et al. (2010) conducted a comprehensive study on the influence of first names on cosmic predispositions, albeit with a focus on lunar events. Similarly, Doe (2013) explored the links between specific names and meteorite showers, albeit excluding any reference to UFO sightings. Jones (2018) provided an extensive analysis of paranormal encounters correlated with surnames, though the work did not delve into the domain of first names or regional variations.

Extending beyond the confines of traditional academic literature, sources within the popular literature landscape have also contributed to the discourse on cosmic nomenclature. In "The Name Game: The Power of Monikers in a Universe Full of Mysteries" by Johnson (2005), the author speculates on the potential cosmic consequences of variations in human names. A more whimsical approach to the topic is found in "Cosmic Connections: A Guide to Naming Your Child for Intergalactic Favor" by White (2012), which offers comical anecdotes of name-based celestial favoritism.

Venturing into the realm of fiction, the classic novel "The Call of Cthulhu" by Lovecraft (1928) indirectly touches upon the supernatural implications of name choices. Additionally, Dick's (1969) novel "Galactic Baby Names" presents a whimsical narrative where infants' names are bestowed based on cosmic omens, sparking peculiar occurrences in otherworldly interactions.

Moreover, a number of cinematic productions have toyed with the theme of extraterrestrial engagements, albeit tangentially related to the first name Kennedy. The film "Close Encounters of the Third Kind" (1977) broaches the motif of alien contact, while "Men in Black" (1997) humorously portrays government agents dealing with UFO encounters. While these cinematic works do not explicitly explore the intersection of Kennedy and UFO sightings, they contribute to the broader cultural landscape of extraterrestrial curiosity and humor.

As peculiar as it may seem, the connection between the burgeoning popularity of the name Kennedy and the surge of UFO sightings in Arizona unveils a cosmic conundrum that transcends the boundaries of conventional scientific inquiry. The amalgamation of scholastic investigations, popular literature musings, and fictional renditions collectively forms the backdrop against which our study endeavors to unravel this celestial enigma with both levity and scholarly rigor.


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 Kennedy and UFO sightings in Arizona. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

[[ABSTRACT]]
This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.

[[INTRODUCTION]]
As humans, we have a penchant for pondering life's most puzzling questions. Why are we here? What lies beyond the stars? And, most importantly, why do UFO sightings in Arizona seem to have a soft spot for folks named Kennedy? Yes, you read that correctly. In this peculiar and at times, downright quizzical research, we unravel the mysterious connection between the skyrocketing popularity of the first name Kennedy and the influx of unidentified flying objects in the vast, arid expanse of Arizona.
Now, you may be scratching your head and thinking, "What in the world could baby naming trends possibly have to do with close encounters of the third kind?" Trust me, dear reader, you are not alone in your bewilderment. The team of researchers behind this investigation found themselves teetering on the edge of cosmic confusion as they delved into this enigmatic correlation.
But let's not get ahead of ourselves. First, let's ground ourselves in the realm of names and numbers. The United States Social Security Administration provides a treasure trove of data on baby names bestowed upon newborns, giving us insight into society's naming preferences over the years. Conversely, the National UFO Reporting Center catalogues thousands of reports detailing extraterrestrial encounters, from spine-tingling sightings to mind-boggling abductions. By marrying these two disparate datasets, we sought to discern whether there was more than meets the eye in this celestial tango between Kennedys and UFOs.
To set the stage for our cosmic caper, we invite you to fasten your seatbelts, adjust your tinfoil hats, and join us on this investigative journey into the extraterrestrial enigma that is the Kennedy phenomenon in Arizona. It's about to get otherworldly.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

In our quest to decode the celestial connection between the surge in popularity of the name Kennedy and the surge in sightings of unidentified flying objects (UFOs) in the Arizona skies, our research team embarked on an odyssey through the labyrinthine corridors of data analytics and statistical scrutiny.

To commence our investigative escapade, we called upon the prodigious repository of the United States Social Security Administration, where we unearthed a trove of newborn naming records. With fervor and tenacity, we meticulously combed through decades of data spanning from 1975 to 2021, charting the rise and fall of the first name Kennedy. We then combed the vast plains of the internet for all things Kennedy. While our methods were as varied as a box of chocolates, our dedication was unwavering, much like a UFO steadfastly hovering in the night sky.

The National UFO Reporting Center became our extraterrestrial compass, guiding us through an amalgam of riddles wrapped in enigmas as we traversed the mesmerizing landscape of UFO sightings. We scrutinized every report, distinguishing between mere meteorological anomalies and bona fide close encounters of the otherworldly kind. The UFO data, hitched to the star-studded wagon of our analysis, intertwined with the baby name data to unravel the cosmic dance between Kennedy and UFO sightings in Arizona.

Like intrepid detectives, we employed a litany of statistical tools, from correlation analysis to regression modeling, to unearth the hidden patterns within this celestial cacophony. Our calculated correlation coefficient of 0.9288935 raised more eyebrows than a UFO sighting at a skeptic convention. Furthermore, with a statistically significant p-value of less than 0.01, our findings pointed to a connection that transcended mere statistical whimsy.

So there you have it, dear readers. Our methodology, like a UFO sighting itself, may seem otherworldly at first glance, but behind the veneer of cosmic humor lies the rigor and precision of scientific inquiry. We set out to unravel a mystery, armed with data and determination, and in the spirit of scientific discovery, we are ready to unveil the uncanny link between Kennedys and UFOs—and perhaps imbue this enigmatic connection with a dash of cosmic humor.


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 Kennedy and UFO sightings in Arizona. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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 0.9288935, r-squared of 0.8628432, 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]]
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

[[ABSTRACT]]
This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As humans, we have a penchant for pondering life's most puzzling questions. Why are we here? What lies beyond the stars? And, most importantly, why do UFO sightings in Arizona seem to have a soft spot for folks named Kennedy? Yes, you read that correctly. In this peculiar and at times, downright quizzical research, we unravel the mysterious connection between the skyrocketing popularity of the first name Kennedy and the influx of unidentified flying objects in the vast, arid expanse of Arizona.
Now, you may be scratching your head and thinking, "What in the world could baby naming trends possibly have to do with close encounters of the third kind?" Trust me, dear reader, you are not alone in your bewilderment. The team of researchers behind this investigation found themselves teetering on the edge of cosmic confusion as they delved into this enigmatic correlation.
But let's not get ahead of ourselves. First, let's ground ourselves in the realm of names and numbers. The United States Social Security Administration provides a treasure trove of data on baby names bestowed upon newborns, giving us insight into society's naming preferences over the years. Conversely, the National UFO Reporting Center catalogues thousands of reports detailing extraterrestrial encounters, from spine-tingling sightings to mind-boggling abductions. By marrying these two disparate datasets, we sought to discern whether there was more than meets the eye in this celestial tango between Kennedys and UFOs.
To set the stage for our cosmic caper, we invite you to fasten your seatbelts, adjust your tinfoil hats, and join us on this investigative journey into the extraterrestrial enigma that is the Kennedy phenomenon in Arizona. It's about to get otherworldly.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of our data revealed a jaw-dropping correlation coefficient of 0.9288935 between the popularity of the first name Kennedy and the frequency of UFO sightings in Arizona from 1975 to 2021. This correlation exhibited a robust relationship, as evidenced by the high R-squared value of 0.8628432, indicating that approximately 86% of the variability in UFO sightings can be explained by the popularity of the name Kennedy. The p-value of less than 0.01 further underscored the significance of this unearthed cosmic connection.

Figure 1 depicts a scatterplot illustrating the striking relationship between the two variables, showcasing a clear trend that would have even the most skeptical of extraterrestrial enthusiasts raising an eyebrow.

Now, we understand if you're raising an eyebrow or two yourselves at the peculiar nature of our findings. The correlation between a moniker and flying saucers may seem outlandish, but our statistical analysis leaves little room for coincidence. It appears that there is more to the Kennedy name than meets the eye, with its resonance stretching from earthly birth certificates to the far reaches of our atmosphere.

The implications of this unearthed connection are as vast and mysterious as the skies under investigation. Could it be that individuals bearing the name Kennedy are unknowingly predisposed to attract celestial voyagers? Or perhaps, the cosmos has a penchant for playfully peeking into the realm of earthly nomenclature, defying the conventional bounds of statistical reasoning. While our findings may boggle the mind, they provoke contemplation on the cosmic influence of nomenclature and the enigmatic nature of extraterrestrial encounters.

This revelation elevates the study of UFO sightings from the conventional realm of astrophysics into the whimsical world of baby names, adding a touch of the unexplained to the art of statistical inquiry. It seems that in this peculiar cosmos, the Kennedy phenomenon extends its influence beyond mere mortals, reaching for the stars in the most unexpected ways.


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 Kennedy and UFO sightings in Arizona. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

[[ABSTRACT]]
This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.

[[LITERATURE REVIEW]]
The unusual intersection of celestial encounters and moniker trends has sparked a torrent of scholarly inquiry over the years. Smith et al. (2010) conducted a comprehensive study on the influence of first names on cosmic predispositions, albeit with a focus on lunar events. Similarly, Doe (2013) explored the links between specific names and meteorite showers, albeit excluding any reference to UFO sightings. Jones (2018) provided an extensive analysis of paranormal encounters correlated with surnames, though the work did not delve into the domain of first names or regional variations.
Extending beyond the confines of traditional academic literature, sources within the popular literature landscape have also contributed to the discourse on cosmic nomenclature. In "The Name Game: The Power of Monikers in a Universe Full of Mysteries" by Johnson (2005), the author speculates on the potential cosmic consequences of variations in human names. A more whimsical approach to the topic is found in "Cosmic Connections: A Guide to Naming Your Child for Intergalactic Favor" by White (2012), which offers comical anecdotes of name-based celestial favoritism.
Venturing into the realm of fiction, the classic novel "The Call of Cthulhu" by Lovecraft (1928) indirectly touches upon the supernatural implications of name choices. Additionally, Dick's (1969) novel "Galactic Baby Names" presents a whimsical narrative where infants' names are bestowed based on cosmic omens, sparking peculiar occurrences in otherworldly interactions.
Moreover, a number of cinematic productions have toyed with the theme of extraterrestrial engagements, albeit tangentially related to the first name Kennedy. The film "Close Encounters of the Third Kind" (1977) broaches the motif of alien contact, while "Men in Black" (1997) humorously portrays government agents dealing with UFO encounters. While these cinematic works do not explicitly explore the intersection of Kennedy and UFO sightings, they contribute to the broader cultural landscape of extraterrestrial curiosity and humor.
As peculiar as it may seem, the connection between the burgeoning popularity of the name Kennedy and the surge of UFO sightings in Arizona unveils a cosmic conundrum that transcends the boundaries of conventional scientific inquiry. The amalgamation of scholastic investigations, popular literature musings, and fictional renditions collectively forms the backdrop against which our study endeavors to unravel this celestial enigma with both levity and scholarly rigor.

[[RESULTS]]
The statistical analysis of our data revealed a jaw-dropping correlation coefficient of 0.9288935 between the popularity of the first name Kennedy and the frequency of UFO sightings in Arizona from 1975 to 2021. This correlation exhibited a robust relationship, as evidenced by the high R-squared value of 0.8628432, indicating that approximately 86% of the variability in UFO sightings can be explained by the popularity of the name Kennedy. The p-value of less than 0.01 further underscored the significance of this unearthed cosmic connection.
Figure 1 depicts a scatterplot illustrating the striking relationship between the two variables, showcasing a clear trend that would have even the most skeptical of extraterrestrial enthusiasts raising an eyebrow.
Now, we understand if you're raising an eyebrow or two yourselves at the peculiar nature of our findings. The correlation between a moniker and flying saucers may seem outlandish, but our statistical analysis leaves little room for coincidence. It appears that there is more to the Kennedy name than meets the eye, with its resonance stretching from earthly birth certificates to the far reaches of our atmosphere.
The implications of this unearthed connection are as vast and mysterious as the skies under investigation. Could it be that individuals bearing the name Kennedy are unknowingly predisposed to attract celestial voyagers? Or perhaps, the cosmos has a penchant for playfully peeking into the realm of earthly nomenclature, defying the conventional bounds of statistical reasoning. While our findings may boggle the mind, they provoke contemplation on the cosmic influence of nomenclature and the enigmatic nature of extraterrestrial encounters.
This revelation elevates the study of UFO sightings from the conventional realm of astrophysics into the whimsical world of baby names, adding a touch of the unexplained to the art of statistical inquiry. It seems that in this peculiar cosmos, the Kennedy phenomenon extends its influence beyond mere mortals, reaching for the stars in the most unexpected ways.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

The astronomical correlation unearthed in this study between the soaring popularity of the first name Kennedy and the frequency of UFO sightings in the dry expanse of Arizona warrants earnest introspection amidst the quirkiness of its premise. Our findings not only corroborate but also expand upon prior research that has whimsically probed the cosmic implications of nomenclature.

Smith et al. (2010) delved into the lunar predispositions of individuals based on their first name, while Doe (2013) direly explored the correlation between celestial coincidences and meteor showers, inexplicably excluding UFO sightings. Our results, aligning with Jones' (2018) analysis of paranormal occurrences linked to surnames, underscore the escalating hints at celestial predilections corresponding to human names.

The interface between popular literature and cosmic nomenclature, as exemplified by Johnson's (2005) musings on the potential cosmic consequences of name variations and White's (2012) comical anecdotes of name-based celestial favoritism, now receives empirical validation through our findings. The apparent categorical passivity has thus given way to a tangible statistical link, providing a cosmic conundrum that transcends the boundaries of conventional scientific inquiry.

Venturing even further into the realm of whimsical inquiry, Dick's (1969) narrative about intergalactic omens tied to infant names and Lovecraft's (1928) cosmic overtones in name choices, offer seemingly fantastic yet now surprisingly relevant parallels to our findings. Our study, through meticulous statistical analyses, lays the groundwork for integrating these peculiar parallels into a veritable mosaic of celestial favoritism and mystery.

The seemingly outlandish faunal formula uncovered in this study, albeit beguiling at first glance, aligns with the broader pursuit of understanding ostensibly inexplicable phenomena in a statistical light, perched atop the intergalactic frontier. Our findings reignite the tradition of contemplative speculation, infusing the esoteric world of nomenclature with a dash of the unexplained.

The findings of this study elevate the curiosity surrounding UFO sightings from astrophysical lodgings to the whimsical world of baby names, denoting that there might truly be more to a name than that which meets the Earthly eye. Rooted in this cosmic conundrum, our research adds a touch of unexplained delight to the scientific inquiry, revealing that the celestial connections and earthly appellations extend far beyond our immediate understanding—a conundrum that's both statistically and cerebrally titillating.


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 Kennedy and UFO sightings in Arizona. Make lots of jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona

[[ABSTRACT]]
This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.

[[INTRDUCTION]]
As humans, we have a penchant for pondering life's most puzzling questions. Why are we here? What lies beyond the stars? And, most importantly, why do UFO sightings in Arizona seem to have a soft spot for folks named Kennedy? Yes, you read that correctly. In this peculiar and at times, downright quizzical research, we unravel the mysterious connection between the skyrocketing popularity of the first name Kennedy and the influx of unidentified flying objects in the vast, arid expanse of Arizona.
Now, you may be scratching your head and thinking, "What in the world could baby naming trends possibly have to do with close encounters of the third kind?" Trust me, dear reader, you are not alone in your bewilderment. The team of researchers behind this investigation found themselves teetering on the edge of cosmic confusion as they delved into this enigmatic correlation.
But let's not get ahead of ourselves. First, let's ground ourselves in the realm of names and numbers. The United States Social Security Administration provides a treasure trove of data on baby names bestowed upon newborns, giving us insight into society's naming preferences over the years. Conversely, the National UFO Reporting Center catalogues thousands of reports detailing extraterrestrial encounters, from spine-tingling sightings to mind-boggling abductions. By marrying these two disparate datasets, we sought to discern whether there was more than meets the eye in this celestial tango between Kennedys and UFOs.
To set the stage for our cosmic caper, we invite you to fasten your seatbelts, adjust your tinfoil hats, and join us on this investigative journey into the extraterrestrial enigma that is the Kennedy phenomenon in Arizona. It's about to get otherworldly.

[[RESULTS]]
The statistical analysis of our data revealed a jaw-dropping correlation coefficient of 0.9288935 between the popularity of the first name Kennedy and the frequency of UFO sightings in Arizona from 1975 to 2021. This correlation exhibited a robust relationship, as evidenced by the high R-squared value of 0.8628432, indicating that approximately 86% of the variability in UFO sightings can be explained by the popularity of the name Kennedy. The p-value of less than 0.01 further underscored the significance of this unearthed cosmic connection.
Figure 1 depicts a scatterplot illustrating the striking relationship between the two variables, showcasing a clear trend that would have even the most skeptical of extraterrestrial enthusiasts raising an eyebrow.
Now, we understand if you're raising an eyebrow or two yourselves at the peculiar nature of our findings. The correlation between a moniker and flying saucers may seem outlandish, but our statistical analysis leaves little room for coincidence. It appears that there is more to the Kennedy name than meets the eye, with its resonance stretching from earthly birth certificates to the far reaches of our atmosphere.
The implications of this unearthed connection are as vast and mysterious as the skies under investigation. Could it be that individuals bearing the name Kennedy are unknowingly predisposed to attract celestial voyagers? Or perhaps, the cosmos has a penchant for playfully peeking into the realm of earthly nomenclature, defying the conventional bounds of statistical reasoning. While our findings may boggle the mind, they provoke contemplation on the cosmic influence of nomenclature and the enigmatic nature of extraterrestrial encounters.
This revelation elevates the study of UFO sightings from the conventional realm of astrophysics into the whimsical world of baby names, adding a touch of the unexplained to the art of statistical inquiry. It seems that in this peculiar cosmos, the Kennedy phenomenon extends its influence beyond mere mortals, reaching for the stars in the most unexpected ways.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research unveils a celestial conundrum that transcends the confines of conventional statistical analysis. The inexplicable correlation between the first name Kennedy and the surge of UFO sightings in Arizona from 1975 to 2021 serves as a cosmic reminder that truth is often stranger than fiction. While our findings may seem out of this world, the robust statistical evidence cannot be dismissed as mere happenstance. It appears that the Kennedy moniker holds a mysterious allure that extends to the depths of our atmosphere, capturing the attention of celestial observers in a manner that defies rational explanation.

So, what does this unearthed connection mean for our understanding of intergalactic interactions? Are individuals bearing the name Kennedy unwitting conduits for extraterrestrial visitations, or are we witnessing a cosmic game of celestial favoritism? The implications of this unearthed phenomenon are as boundless as the starry expanse above, inviting contemplation on the whimsical interplay between earthly names and extraterrestrial encounters.

However, despite the undeniable allure of this cosmic correlation, our research reaches its narrative denouement with a resounding message: no further inquiry is warranted in this area. The Kennedy-UFO equation stands as a testament to the inexplicable intricacies of the universe, a puzzling interplay between earthly appellations and extraterrestrial sightings that defies traditional scientific understanding. While the pull of this celestial riddle may beckon further investigation, we advocate for embracing the delightful mystique of this unearthed phenomenon as a testament to the endless surprises that await in the enigmatic cosmos.


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 Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Extraterrestrial Anthropology and Cryptic 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 Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Extraterrestrial Nameology Research (SENR)


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 Unearthing Unidentified First Names: The Kennedy Phenomenon and UFO Encounters in the Arid Skies of Arizona with an abstract of This study delves into the peculiar, eyebrow-raising correlation between the rising popularity of the first name Kennedy and the frequency of UFO sightings in the arid plains of Arizona. Combining data from the US Social Security Administration and the National UFO Reporting Center, our research team employed rigorous statistical analysis to establish a surprising link. With a correlation coefficient of 0.9288935 and a statistically significant value of p < 0.01 for the years spanning 1975 to 2021, our findings shed light on an out-of-this-world connection. The implications of this connection stretch beyond statistical quirks, potentially revealing celestial favoritism for those named Kennedy or posing a cosmic conundrum. This investigation not only highlights the role of nomenclature in intergalactic interactions but also adds a whimsical twist to the mysterious realm of UFO sightings.

ChatGPT:

Kennedy popularity, first name Kennedy, UFO sightings, Arizona, correlation, statistical analysis, UFO reporting, Social Security Administration, National UFO Reporting Center

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

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

Correlation r = 0.9288935 (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 = 0.8628432 (Coefficient of determination)
This means 86.3% of the change in the one variable (i.e., UFO sightings in Arizona) is predictable based on the change in the other (i.e., Popularity of the first name Kennedy) over the 47 years from 1975 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 4.91E-21. 0.0000000000000000000049078310
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 0.93 in 4.91E-19% of random cases. Said differently, if you correlated 203,755,997,303,085,629,440 random variables You don't actually need 203 quintillion 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.

[ 0.88, 0.96 ] 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 Kennedy (Babies born)262626303125273750685966787510611093135216614139415871809181020572550259127082944306929993082320631193013299233723551411446554687450943014066382335003541
UFO sightings in Arizona (UFO sightings)7331055736257811137741312231312870901961121141221911941291331681541141572022252902642292018521219086




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([26,26,26,30,31,25,27,37,50,68,59,66,78,75,106,110,93,135,216,614,1394,1587,1809,1810,2057,2550,2591,2708,2944,3069,2999,3082,3206,3119,3013,2992,3372,3551,4114,4655,4687,4509,4301,4066,3823,3500,3541,])
array_2 = np.array([7,3,3,10,5,5,7,3,6,2,5,7,8,11,13,7,7,4,13,12,23,13,128,70,90,196,112,114,122,191,194,129,133,168,154,114,157,202,225,290,264,229,201,85,212,190,86,])
array_1_name = "Popularity of the first name Kennedy"
array_2_name = "UFO sightings in Arizona"

# 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: 3473 · Black Variable ID: 2367 · Red Variable ID: 1153
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