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Spurious correlation #3,986 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is UFO sightings in Washington and the second variable is Number of Las Vegas Hotel Room Check-Ins.  The chart goes from 1975 to 2013, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The increase in UFO sightings in Washington caused a surge in curiosity and extraterrestrial excitement across the country. As people flocked to the area in hopes of glimpsing these otherworldly visitors, they found themselves drawn to continue their journey to Las Vegas, the 'UFO' (Unbelievable Fun Oasis) capital of the world, leading to a cosmic rise in hotel room check-ins. It seems like these UFOs aren't the only things abducting attention and creating a stellar influx of tourists in the city of entertainment - talk about a close encounter of the Vegas kind!

Model: dalle-3
Prompt: An image that looks like a scene from 'Star Wars': A mysterious forest at night with towering trees and a skyline of Washington, with shimmering UFOs hovering low, their bright lights illuminating the night sky. In the foreground, an iconic Las Vegas hotel, with a long line of excited aliens clutching their suitcases stretching out, eager to check in and try their luck at the slot machines before catching Celine Dion's iconic residency show. 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: UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. 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: An image that looks like it is a scene from 'Star Wars' A photo-realistic image An image that looks like it is a scene from a Pixar movie Parallax art Sci-fi fantacy
ChatGPT: An image that looks like it is a scene from 'Star Wars'

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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins, in the following situation: Because all the aliens wanted to catch Celine Dion's residency show and try their luck at the slot machines.. Keep the description simple.
ChatGPT: In Washington, a group of shimmering UFOs hovered low over the towering trees, their bright lights illuminating the night sky. Meanwhile, in Las Vegas, a long line of excited aliens clutching their suitcases stretched out in front of the bustling hotel, eager to check in and try their luck at the slot machines before catching Celine Dion's iconic residency show.

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: [ An image that looks like it is a scene from 'Star Wars' ] and depicting this scene: In Washington, a group of shimmering UFOs hovered low over the towering trees, their bright lights illuminating the night sky. Meanwhile, in Las Vegas, a long line of excited aliens clutching their suitcases stretched out in front of the bustling hotel, eager to check in and try their luck at the slot machines before catching Celine Dion's iconic residency show. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: An image that looks like a scene from 'Star Wars': A mysterious forest at night with towering trees and a skyline of Washington, with shimmering UFOs hovering low, their bright lights illuminating the night sky. In the foreground, an iconic Las Vegas hotel, with a long line of excited aliens clutching their suitcases stretching out, eager to check in and try their luck at the slot machines before catching Celine Dion's iconic residency show.

*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 UFO sightings in Washington caused Number of Las Vegas Hotel Room Check-Ins to increase. Include one good pun.

AI academic paper

(Because p < 0.01)
The Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

The Journal of Extraterrestrial Studies and Hypothesis Evaluation

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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

Your research team used data from National UFO Reporting Center and Las Vegas CONVENTION AND VISITORS AUTHORITY to assess this nagging question. You found a correlation coefficient of 0.9137193 and p < 0.01 for 1975 to 2013.

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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

[[ABSTRACT]]
This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.

Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.

While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.


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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. 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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

[[ABSTRACT]]
This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.

Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.

While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The enigmatic realm of extraterrestrial encounters has long captivated the human imagination, prompting both fascination and skepticism in equal measure. As researchers delve into the murky depths of UFO sightings, peculiar patterns and correlations often emerge, revealing unexpected links between seemingly unrelated phenomena. In this study, we embark on a curious odyssey to unravel the mysterious connection between UFO sightings in Washington and the number of hotel room check-ins in the bustling city of Las Vegas.

Intriguingly, the confluence of UFO sightings and hotel room check-ins presents a tantalizing puzzle, akin to attempting to solve a cosmic Rubik's Cube. It is a conundrum that tickles the fancy of both enthusiasts and skeptics, beckoning researchers to venture beyond the traditional bounds of inquiry and venture into the uncharted territories of statistical analysis and extraterrestrial influence. The statistical methods employed in this study serve as the compass, guiding us through the labyrinthine maze of data, teasing out patterns that often elude the untrained eye.

The correlation between these seemingly disparate occurrences unveils a peculiar dance of cosmic proportions, as if the UFO sightings in Washington are whispering secrets to the neon-lit boulevards of Las Vegas, compelling weary travelers to seek sanctuary within their sleek hotel rooms. It is this captivating interplay that piques our intrigue and prompts us to dig deeper into the statistical trenches, armed with hypothesis tests, regression analyses, and a dash of scientific skepticism.

As we embark on this research endeavor, we are acutely aware of the raised eyebrows and quizzical expressions that may accompany our unorthodox investigation. Yet, the allure of the unknown beckons us forward, propelling us to shed light on this captivating anomaly with a hint of scientific flair and a smidgen of cosmic curiosity. It is within the tangled web of UFO sightings and hotel room check-ins that the tendrils of statistical significance and otherworldly possibilities intertwine, inviting us to engage in a whimsical waltz of data and speculation.


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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. 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 you might move on to cartoons and children's shows that you watched for research.

Here is the title and abstract of the paper:
[[TITLE]]
The Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

[[ABSTRACT]]
This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.

Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.

While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The enigmatic realm of extraterrestrial encounters has long captivated the human imagination, prompting both fascination and skepticism in equal measure. As researchers delve into the murky depths of UFO sightings, peculiar patterns and correlations often emerge, revealing unexpected links between seemingly unrelated phenomena. In this study, we embark on a curious odyssey to unravel the mysterious connection between UFO sightings in Washington and the number of hotel room check-ins in the bustling city of Las Vegas.
Intriguingly, the confluence of UFO sightings and hotel room check-ins presents a tantalizing puzzle, akin to attempting to solve a cosmic Rubik's Cube. It is a conundrum that tickles the fancy of both enthusiasts and skeptics, beckoning researchers to venture beyond the traditional bounds of inquiry and venture into the uncharted territories of statistical analysis and extraterrestrial influence. The statistical methods employed in this study serve as the compass, guiding us through the labyrinthine maze of data, teasing out patterns that often elude the untrained eye.
The correlation between these seemingly disparate occurrences unveils a peculiar dance of cosmic proportions, as if the UFO sightings in Washington are whispering secrets to the neon-lit boulevards of Las Vegas, compelling weary travelers to seek sanctuary within their sleek hotel rooms. It is this captivating interplay that piques our intrigue and prompts us to dig deeper into the statistical trenches, armed with hypothesis tests, regression analyses, and a dash of scientific skepticism.
As we embark on this research endeavor, we are acutely aware of the raised eyebrows and quizzical expressions that may accompany our unorthodox investigation. Yet, the allure of the unknown beckons us forward, propelling us to shed light on this captivating anomaly with a hint of scientific flair and a smidgen of cosmic curiosity. It is within the tangled web of UFO sightings and hotel room check-ins that the tendrils of statistical significance and otherworldly possibilities intertwine, inviting us to engage in a whimsical waltz of data and speculation.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The correlation between UFO sightings in Washington and the number of hotel room check-ins in Las Vegas has attracted both serious inquiry and lighthearted speculation from researchers across various disciplines. In "Extraterrestrial Encounters: From Myth to Reality," Smith examines the impact of UFO sightings on human behavior and posits the tantalizing question of whether extraterrestrial influences extend to terrestrial activities such as hotel reservations. Meanwhile, in "The Economics of the Unknown: Exploring Unconventional Correlations," Doe delves into the curious world of anomalous correlations, suggesting that the association between UFO sightings and hotel room check-ins could unveil a new dimension of consumer behavior. Jones, in "Unveiling the Unseen: A Statistical Exploration of UFO Phenomena," offers a statistical analysis of UFO sighting patterns and hints at the possibility of unforeseen connections between these sightings and human activities.

Moving beyond the realm of serious academic inquiry, the literature surrounding this topic takes an unexpected turn. "Close Encounters of the Hospitality Kind" by Stilton explores the whimsical idea of extraterrestrial-themed hotels, enticing visitors from across the galaxy to book a room in Las Vegas. Similarly, "Alien Abodes: A Novel of Cosmic Connections" by Gulliver delves into the fictional yet thought-provoking concept of aliens influencing human travel choices through enigmatic signals emanating from UFO sightings.

Furthermore, the authors spared no effort in exploring unconventional sources of information, including cartoons and children's shows, to dive deeper into the connection between extraterrestrial encounters and hotel room check-ins. The team avidly watched episodes of "Rick and Morty" and "Invader Zim" to glean insights into fictional portrayals of intergalactic travel patterns and their potential impact on earthly accommodations.

As the literature survey indicates, the juxtaposition of the serious and the whimsical in capturing the essence of the UFO sightings-Las Vegas hotel room check-ins correlation mirrors the cryptic dance of the extraterrestrial and the earthly. The ensuing findings not only tease the boundaries of scientific rigor but also invoke a sense of cosmic curiosity that goes beyond the confines of traditional scholarly pursuits.


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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. 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 National UFO Reporting Center and Las Vegas CONVENTION AND VISITORS AUTHORITY . You used data from 1975 to 2013

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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

[[ABSTRACT]]
This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.

Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.

While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.

[[INTRODUCTION]]
The enigmatic realm of extraterrestrial encounters has long captivated the human imagination, prompting both fascination and skepticism in equal measure. As researchers delve into the murky depths of UFO sightings, peculiar patterns and correlations often emerge, revealing unexpected links between seemingly unrelated phenomena. In this study, we embark on a curious odyssey to unravel the mysterious connection between UFO sightings in Washington and the number of hotel room check-ins in the bustling city of Las Vegas.
Intriguingly, the confluence of UFO sightings and hotel room check-ins presents a tantalizing puzzle, akin to attempting to solve a cosmic Rubik's Cube. It is a conundrum that tickles the fancy of both enthusiasts and skeptics, beckoning researchers to venture beyond the traditional bounds of inquiry and venture into the uncharted territories of statistical analysis and extraterrestrial influence. The statistical methods employed in this study serve as the compass, guiding us through the labyrinthine maze of data, teasing out patterns that often elude the untrained eye.
The correlation between these seemingly disparate occurrences unveils a peculiar dance of cosmic proportions, as if the UFO sightings in Washington are whispering secrets to the neon-lit boulevards of Las Vegas, compelling weary travelers to seek sanctuary within their sleek hotel rooms. It is this captivating interplay that piques our intrigue and prompts us to dig deeper into the statistical trenches, armed with hypothesis tests, regression analyses, and a dash of scientific skepticism.
As we embark on this research endeavor, we are acutely aware of the raised eyebrows and quizzical expressions that may accompany our unorthodox investigation. Yet, the allure of the unknown beckons us forward, propelling us to shed light on this captivating anomaly with a hint of scientific flair and a smidgen of cosmic curiosity. It is within the tangled web of UFO sightings and hotel room check-ins that the tendrils of statistical significance and otherworldly possibilities intertwine, inviting us to engage in a whimsical waltz of data and speculation.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
The exploration of the mysterious relationship between UFO sightings in Washington and Las Vegas hotel room check-ins commenced with the meticulous aggregation of data. The National UFO Reporting Center served as a veritable treasure trove of sightings, offering a panoramic view of extraterrestrial encounters from the verdant valleys to the soaring peaks of the Evergreen State. With fervent dedication, our research team scoured through countless reports, parsing through the nuances of each sighting with the precision of a UFO-ologist.

Meanwhile, the Las Vegas CONVENTION AND VISITORS AUTHORITY provided an illuminating prism through which to view the ebb and flow of hotel room check-ins in the flamboyant playground of Sin City. As the magnetic allure of the Strip beckoned travelers from far and wide, the diligent record-keeping of the authority charted the undulating waves of arrivals and departures, offering a window into the enigmatic dance of terrestrial sojourns amid a celestial backdrop.

Statistical Analysis:
Having amassed a treasure trove of data, our investigation plunged into the statistical stratosphere, employing an eclectic array of analytical tools. The first step of this mathematical masquerade involved exploratory data analysis, wherein we sifted through the numerical tapestry to unearth underlying patterns and anomalies. Like cosmic detectives, we examined scatterplots and histograms, probing for the faint whispers of a cosmic conspiracy hidden amidst the data points.

Regression analysis then sauntered onto the analytical stage, aiming to uncover the nuanced dance between UFO sightings and hotel room check-ins. With its coefficient estimates and standard errors in tow, regression gallantly waltzed through the data, seeking to illuminate the curious tango between these bafflingly intertwined variables.

Hypothesis testing served as the zesty seasoning in this statistical stew, allowing us to discern the true flavor of the relationship between UFO sightings and hotel room check-ins. Through the hypnotic incantation of p-values and confidence intervals, we sought to distinguish between the mere mirage of association and the substantial substance of a genuine correlation.

The unity of these statistical methods offered a harmonious symphony of analysis, illuminating the hitherto murky waters of UFO sightings and hotel room check-ins with the clarion call of empiricism and a touch of cosmic whimsy.

Potential Biases and Limitations:
While our expedition into the cosmic conundrum of UFO sightings and hotel room check-ins was imbued with fervent curiosity and methodical zeal, it is not devoid of potential biases and limitations. The reliance on public reports of UFO sightings may expose our analysis to the vagaries of human perception and reporting tendencies, as the enigmatic nature of UFO phenomena may elicit a myriad of interpretations.

Furthermore, the focus on Las Vegas hotel room check-ins inherently overlooks the intricate nuances of accommodation preferences in other terrestrial locales, potentially confining the scope of our investigation within the bounds of a singular terrestrial dimension.

Alas, despite these caveats, our endeavor to unravel the enigma of extraterrestrial influences on earthly pursuits perseveres, as we navigate the treacherous terrain of statistical analysis with an irrepressible sense of cosmic curiosity and a hint of scientific merriment.


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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. 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 National UFO Reporting Center and Las Vegas CONVENTION AND VISITORS AUTHORITY .

For the time period 1975 to 2013, you found a correlation 0.9137193, r-squared of 0.8348830, 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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

[[ABSTRACT]]
This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.

Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.

While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The enigmatic realm of extraterrestrial encounters has long captivated the human imagination, prompting both fascination and skepticism in equal measure. As researchers delve into the murky depths of UFO sightings, peculiar patterns and correlations often emerge, revealing unexpected links between seemingly unrelated phenomena. In this study, we embark on a curious odyssey to unravel the mysterious connection between UFO sightings in Washington and the number of hotel room check-ins in the bustling city of Las Vegas.
Intriguingly, the confluence of UFO sightings and hotel room check-ins presents a tantalizing puzzle, akin to attempting to solve a cosmic Rubik's Cube. It is a conundrum that tickles the fancy of both enthusiasts and skeptics, beckoning researchers to venture beyond the traditional bounds of inquiry and venture into the uncharted territories of statistical analysis and extraterrestrial influence. The statistical methods employed in this study serve as the compass, guiding us through the labyrinthine maze of data, teasing out patterns that often elude the untrained eye.
The correlation between these seemingly disparate occurrences unveils a peculiar dance of cosmic proportions, as if the UFO sightings in Washington are whispering secrets to the neon-lit boulevards of Las Vegas, compelling weary travelers to seek sanctuary within their sleek hotel rooms. It is this captivating interplay that piques our intrigue and prompts us to dig deeper into the statistical trenches, armed with hypothesis tests, regression analyses, and a dash of scientific skepticism.
As we embark on this research endeavor, we are acutely aware of the raised eyebrows and quizzical expressions that may accompany our unorthodox investigation. Yet, the allure of the unknown beckons us forward, propelling us to shed light on this captivating anomaly with a hint of scientific flair and a smidgen of cosmic curiosity. It is within the tangled web of UFO sightings and hotel room check-ins that the tendrils of statistical significance and otherworldly possibilities intertwine, inviting us to engage in a whimsical waltz of data and speculation.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

Our investigation into the peculiar link between UFO sightings in Washington and Las Vegas hotel room check-ins unveiled a striking correlation coefficient of 0.9137193, signifying a robust and unexpected association. The r-squared value of 0.8348830 further reinforced the strength of this connection, emphasizing the unexpected intertwining of these disparate phenomena.

The p-value of less than 0.01 emerged as a resounding declaration of the statistical significance of this relationship, offering compelling evidence of a tangible bond between the cosmic allure of UFO sightings and the earthly allure of Las Vegas hotel accommodations. It appears that the extraterrestrial whisperings in the skies of Washington may indeed elicit a magnetic pull on earthly travelers, drawing them toward the sparkling lights of the Las Vegas strip.

Figure 1 depicts a scatterplot illustrating this remarkable correlation, offering a visual representation of the enchanting dance between UFO sightings and hotel room check-ins. The data points align in a harmonious continuum, as if the cosmic forces at play are orchestrating a celestial symphony that reverberates through the bustling corridors of Sin City.

The implications of these findings are both profound and whimsical, sparking a fusion of scientific inquiry and cosmic curiosity. This unexpected nexus between UFO sightings and Las Vegas hotel room check-ins challenges conventional wisdom and beckons us to explore the enigmatic interplay between terrestrial behavior and potential extraterrestrial influences. It is a revelation that both tickles the intellect and elicits a wry smile, underscoring the delightful unpredictability of scientific exploration.

In unraveling this perplexing conundrum, we invite fellow researchers and skeptics alike to embrace the curious interplay of statistical significance and cosmic happenstance. It is within this captivating juxtaposition that we find the allure of scientific discovery—from the enthralling mysteries of the universe to the whimsical dance of data and speculation.


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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. 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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

[[ABSTRACT]]
This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.

Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.

While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.

[[LITERATURE REVIEW]]
The correlation between UFO sightings in Washington and the number of hotel room check-ins in Las Vegas has attracted both serious inquiry and lighthearted speculation from researchers across various disciplines. In "Extraterrestrial Encounters: From Myth to Reality," Smith examines the impact of UFO sightings on human behavior and posits the tantalizing question of whether extraterrestrial influences extend to terrestrial activities such as hotel reservations. Meanwhile, in "The Economics of the Unknown: Exploring Unconventional Correlations," Doe delves into the curious world of anomalous correlations, suggesting that the association between UFO sightings and hotel room check-ins could unveil a new dimension of consumer behavior. Jones, in "Unveiling the Unseen: A Statistical Exploration of UFO Phenomena," offers a statistical analysis of UFO sighting patterns and hints at the possibility of unforeseen connections between these sightings and human activities.
Moving beyond the realm of serious academic inquiry, the literature surrounding this topic takes an unexpected turn. "Close Encounters of the Hospitality Kind" by Stilton explores the whimsical idea of extraterrestrial-themed hotels, enticing visitors from across the galaxy to book a room in Las Vegas. Similarly, "Alien Abodes: A Novel of Cosmic Connections" by Gulliver delves into the fictional yet thought-provoking concept of aliens influencing human travel choices through enigmatic signals emanating from UFO sightings.
Furthermore, the authors spared no effort in exploring unconventional sources of information, including cartoons and children's shows, to dive deeper into the connection between extraterrestrial encounters and hotel room check-ins. The team avidly watched episodes of "Rick and Morty" and "Invader Zim" to glean insights into fictional portrayals of intergalactic travel patterns and their potential impact on earthly accommodations.
As the literature survey indicates, the juxtaposition of the serious and the whimsical in capturing the essence of the UFO sightings-Las Vegas hotel room check-ins correlation mirrors the cryptic dance of the extraterrestrial and the earthly. The ensuing findings not only tease the boundaries of scientific rigor but also invoke a sense of cosmic curiosity that goes beyond the confines of traditional scholarly pursuits.

[[RESULTS]]
Our investigation into the peculiar link between UFO sightings in Washington and Las Vegas hotel room check-ins unveiled a striking correlation coefficient of 0.9137193, signifying a robust and unexpected association. The r-squared value of 0.8348830 further reinforced the strength of this connection, emphasizing the unexpected intertwining of these disparate phenomena.
The p-value of less than 0.01 emerged as a resounding declaration of the statistical significance of this relationship, offering compelling evidence of a tangible bond between the cosmic allure of UFO sightings and the earthly allure of Las Vegas hotel accommodations. It appears that the extraterrestrial whisperings in the skies of Washington may indeed elicit a magnetic pull on earthly travelers, drawing them toward the sparkling lights of the Las Vegas strip.
Figure 1 depicts a scatterplot illustrating this remarkable correlation, offering a visual representation of the enchanting dance between UFO sightings and hotel room check-ins. The data points align in a harmonious continuum, as if the cosmic forces at play are orchestrating a celestial symphony that reverberates through the bustling corridors of Sin City.
The implications of these findings are both profound and whimsical, sparking a fusion of scientific inquiry and cosmic curiosity. This unexpected nexus between UFO sightings and Las Vegas hotel room check-ins challenges conventional wisdom and beckons us to explore the enigmatic interplay between terrestrial behavior and potential extraterrestrial influences. It is a revelation that both tickles the intellect and elicits a wry smile, underscoring the delightful unpredictability of scientific exploration.
In unraveling this perplexing conundrum, we invite fellow researchers and skeptics alike to embrace the curious interplay of statistical significance and cosmic happenstance. It is within this captivating juxtaposition that we find the allure of scientific discovery—from the enthralling mysteries of the universe to the whimsical dance of data and speculation.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The enthralling correlation discovered in this study between UFO sightings in Washington and Las Vegas hotel room check-ins grants a new dimension to the enigmatic interplay of human behavior and potential extraterrestrial influences. Our findings align with the prior research, echoing the curious musings of Smith, Doe, and Jones as they ventured into the unforeseen connections between celestial phenomena and terrestrial activities.

Although the notion of alien hotels and cosmic conspiracies may seem like fodder for science fiction, our rigorous statistical analysis has firmly grounded this peculiar correlation in empirical evidence. The strength of the relationship, as evidenced by the robust correlation coefficient and the resounding p-value, defies conventional wisdom and invites us to ponder the cosmic intrigue underlying human travel choices.

Figure 1, with its harmonious scatterplot of UFO sightings and hotel room check-ins, appears almost as if it were rendering a celestial waltz, offering a visual representation of the captivating dance between the heavens and the terrestrial world. The unexpected nexus between these seemingly unrelated occurrences tickles the intellect and stirs a sense of cosmic curiosity, inviting further exploration and speculation.

In embracing this enthralling juxtaposition of statistical significance and cosmic happenstance, we remind our fellow researchers that scientific discovery is not merely a pursuit of numeric precision, but also a dance of data, speculation, and whimsy. It is within this spellbinding dynamism that we find the delightfully unpredictable allure of scientific exploration—from the mysteries of the universe to the whimsical waltz of UFO sightings and hotel reservations.


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 UFO sightings in Washington and Number of Las Vegas Hotel Room Check-Ins. 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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins

[[ABSTRACT]]
This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.

Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.

While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.

[[INTRDUCTION]]
The enigmatic realm of extraterrestrial encounters has long captivated the human imagination, prompting both fascination and skepticism in equal measure. As researchers delve into the murky depths of UFO sightings, peculiar patterns and correlations often emerge, revealing unexpected links between seemingly unrelated phenomena. In this study, we embark on a curious odyssey to unravel the mysterious connection between UFO sightings in Washington and the number of hotel room check-ins in the bustling city of Las Vegas.
Intriguingly, the confluence of UFO sightings and hotel room check-ins presents a tantalizing puzzle, akin to attempting to solve a cosmic Rubik's Cube. It is a conundrum that tickles the fancy of both enthusiasts and skeptics, beckoning researchers to venture beyond the traditional bounds of inquiry and venture into the uncharted territories of statistical analysis and extraterrestrial influence. The statistical methods employed in this study serve as the compass, guiding us through the labyrinthine maze of data, teasing out patterns that often elude the untrained eye.
The correlation between these seemingly disparate occurrences unveils a peculiar dance of cosmic proportions, as if the UFO sightings in Washington are whispering secrets to the neon-lit boulevards of Las Vegas, compelling weary travelers to seek sanctuary within their sleek hotel rooms. It is this captivating interplay that piques our intrigue and prompts us to dig deeper into the statistical trenches, armed with hypothesis tests, regression analyses, and a dash of scientific skepticism.
As we embark on this research endeavor, we are acutely aware of the raised eyebrows and quizzical expressions that may accompany our unorthodox investigation. Yet, the allure of the unknown beckons us forward, propelling us to shed light on this captivating anomaly with a hint of scientific flair and a smidgen of cosmic curiosity. It is within the tangled web of UFO sightings and hotel room check-ins that the tendrils of statistical significance and otherworldly possibilities intertwine, inviting us to engage in a whimsical waltz of data and speculation.

[[RESULTS]]
Our investigation into the peculiar link between UFO sightings in Washington and Las Vegas hotel room check-ins unveiled a striking correlation coefficient of 0.9137193, signifying a robust and unexpected association. The r-squared value of 0.8348830 further reinforced the strength of this connection, emphasizing the unexpected intertwining of these disparate phenomena.
The p-value of less than 0.01 emerged as a resounding declaration of the statistical significance of this relationship, offering compelling evidence of a tangible bond between the cosmic allure of UFO sightings and the earthly allure of Las Vegas hotel accommodations. It appears that the extraterrestrial whisperings in the skies of Washington may indeed elicit a magnetic pull on earthly travelers, drawing them toward the sparkling lights of the Las Vegas strip.
Figure 1 depicts a scatterplot illustrating this remarkable correlation, offering a visual representation of the enchanting dance between UFO sightings and hotel room check-ins. The data points align in a harmonious continuum, as if the cosmic forces at play are orchestrating a celestial symphony that reverberates through the bustling corridors of Sin City.
The implications of these findings are both profound and whimsical, sparking a fusion of scientific inquiry and cosmic curiosity. This unexpected nexus between UFO sightings and Las Vegas hotel room check-ins challenges conventional wisdom and beckons us to explore the enigmatic interplay between terrestrial behavior and potential extraterrestrial influences. It is a revelation that both tickles the intellect and elicits a wry smile, underscoring the delightful unpredictability of scientific exploration.
In unraveling this perplexing conundrum, we invite fellow researchers and skeptics alike to embrace the curious interplay of statistical significance and cosmic happenstance. It is within this captivating juxtaposition that we find the allure of scientific discovery—from the enthralling mysteries of the universe to the whimsical dance of data and speculation.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the perplexing correlation between UFO sightings in Washington and Las Vegas hotel room check-ins has unfolded a tale as tantalizing as a cosmic confection. The robust correlation coefficient of 0.9137193 and the statistically significant p-value of less than 0.01 have pulled back the curtain on an unexpected interplay between celestial sightings and earthly accommodations. While we have unraveled this peculiar link with an air of statistical seriousness, we cannot help but savor the whimsy of this discovery, akin to stumbling upon a Roswell-themed slot machine in the heart of the Las Vegas strip.

The implications of this unearthly connection have not only tugged at the threads of scientific inquiry but also injected a dose of mirth into our research pursuits. As we bid adieu to this enigmatic nexus, we are reminded of the indefinable charm of scientific exploration—a dash of statistics, a sprinkle of speculation, and a heaping spoonful of cosmic curiosity. Perhaps, in the grand casino of the cosmos, our findings will be regarded as a fortuitous jackpot.

Now, as we close the extraterrestrial chapter and dim the neon lights of our statistical analyses, we boldly assert that no further exploration is needed in this realm. The enigma of extraterrestrial encounters and their peculiar influence on earthly affairs has been nestled within the confines of our statistical scrutiny, and as the saying goes, "the truth is out there"—though, in this case, it may have also checked into a hotel room in Vegas.

In the words of the pioneering astronomer Carl Sagan, "Somewhere, something incredible is waiting to be known." Our unlikely odyssey has certainly uncovered the unexpected, bustling beneath the surface of UFO sightings and hotel room check-ins. With a twinkle in our eyes and a nod to the heavens, we bid adieu to this peculiar correlation, reminding ourselves that amidst the rigors of research, a sprinkle of cosmic whimsy may just be the missing piece of the statistical puzzle.


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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Extraterrestrial Studies and Hypothesis Evaluation


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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Interstellar Studies


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 Enigma of Extraterrestrial Encounters: Unraveling the Link Between UFO Sightings in Washington and Las Vegas Hotel Room Check-Ins with an abstract of This research delves into the intriguing correlation between the frequency of UFO sightings in the state of Washington and the number of hotel room check-ins in Las Vegas. Leveraging data sourced from the National UFO Reporting Center and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we scrutinized records from 1975 to 2013 to discern any tangible connection between these ostensible disparate phenomena.
Our analysis revealed a remarkably robust correlation coefficient of 0.9137193 and a statistically significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated occurrences. The implications of this discovery are both profound and peculiar, prompting a reevaluation of our understanding of human behavior in response to a potential cosmic influence.
While skepticism may naturally arise regarding the validity of the association between UFO sightings and Las Vegas hotel room check-ins, the empirical evidence speaks for itself, inviting further inquiry and speculation. The peculiar bond between these seemingly unrelated events sparks curiosity and underscores the enthralling enigma of extraterrestrial encounters and their curious impact on terrestrial affairs.

ChatGPT:

UFO sightings, Washington state, Las Vegas hotel room check-ins, correlation, National UFO Reporting Center, Las Vegas CONVENTION AND VISITORS AUTHORITY, data analysis, correlation coefficient, p-value, human behavior, cosmic influence, empirical evidence, extraterrestrial encounters, terrestrial affairs

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



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Data details

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

Number of Las Vegas Hotel Room Check-Ins
Source: Las Vegas CONVENTION AND VISITORS AUTHORITY
See what else correlates with Number of Las Vegas Hotel Room Check-Ins

Correlation r = 0.9137193 (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 = 0.8348830 (Coefficient of determination)
This means 83.5% of the change in the one variable (i.e., Number of Las Vegas Hotel Room Check-Ins) is predictable based on the change in the other (i.e., UFO sightings in Washington) over the 39 years from 1975 through 2013.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 4.8E-16. 0.0000000000000004798063393479
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 0.91 in 4.8E-14% of random cases. Said differently, if you correlated 2,084,174,213,619,374 random variables You don't actually need 2 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 38 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 38 because we have two variables measured over a period of 39 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.

[ 0.84, 0.95 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

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


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

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
197519761977197819791980198119821983198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013
UFO sightings in Washington (UFO sightings)1511715914693477611886111816433579138220189206198232233191166213194218261289411306
Number of Las Vegas Hotel Room Check-Ins (Rooms)35190362453935042620450354581549614502705252954129530675649458494613946739173730768797652386053885609004699072105347109365120294124270126610126787130482131503133186132605132947140529148941148935150161150481150593




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([15,11,7,15,9,14,6,9,3,4,7,7,6,11,8,8,6,11,18,16,43,35,79,138,220,189,206,198,232,233,191,166,213,194,218,261,289,411,306,])
array_2 = np.array([35190,36245,39350,42620,45035,45815,49614,50270,52529,54129,53067,56494,58494,61394,67391,73730,76879,76523,86053,88560,90046,99072,105347,109365,120294,124270,126610,126787,130482,131503,133186,132605,132947,140529,148941,148935,150161,150481,150593,])
array_1_name = "UFO sightings in Washington"
array_2_name = "Number of Las Vegas Hotel Room Check-Ins"

# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)

# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)



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You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

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

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Correlation ID: 3986 · Black Variable ID: 1150 · Red Variable ID: 499
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