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Spurious correlation #1,026 · 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 North Dakota and the second variable is Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion.  The chart goes from 1979 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The UFOs were actually giant flying grills, emitting a hypnotic smell of sizzling hotdogs as they zipped across the state. This otherworldly aroma inexplicably increased the appetite of the champion, leading to record-breaking hotdog consumption. Who knew that the key to winning the competition was written in the stars!

Model: dalle-3
Prompt: Generate an image depicting a surreal scene of a vast North Dakota field with wheat and corn crops swaying gently, while a flying saucer hovers above, casting an otherworldly glow. Among the crops, large hot dog buns grow, emitting an irresistible aroma into the air. In the midst of this unusual setting, the reigning Nathan's Hot Dog Eating Competition Champion triumphantly devours hot dogs at a rapid pace, aided by the generous supply of delicious buns. The extraterrestrial influence enhances the crops, drawing attention to the extraordinary increase in hot dog consumption. 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 situation described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here is a situation: The increase in UFO sightings in North Dakota is causing Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion to also increase because the extraterrestrial visitors are secretly influencing the wheat and corn crops in the region to produce larger and more succulent hot dog buns. As a result, Nathan's champions are able to consume more hot dogs within the same time frame, ultimately leading to an increase in hot dog consumption statistics.. Given that situation, which of the following image descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand and the tone of the explanation. Please respond with only one of the following potential descriptions: A TIME magazine cover image Psychedelic Surrealism Woodblock painting Low poly
ChatGPT: Surrealism

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated and the explanation described. Do not reference graphs or charts; describe physical objects.
User prompt: Please describe a visual scene that depicts the following situation. Keep the description simple. The increase in UFO sightings in North Dakota is causing Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion to also increase because the extraterrestrial visitors are secretly influencing the wheat and corn crops in the region to produce larger and more succulent hot dog buns. As a result, Nathan's champions are able to consume more hot dogs within the same time frame, ultimately leading to an increase in hot dog consumption statistics.
ChatGPT: Imagine a vast field in North Dakota, where wheat and corn crops sway gently in the breeze. In the distance, a flying saucer hovers above the fields, its lights casting an otherworldly glow. Among the crops, large and plump hot dog buns grow, with an irresistible aroma wafting through the air. Nearby, the reigning Nathan's Hot Dog Eating Competition Champion stands triumphantly, devouring hot dogs at a rapid pace, aided by the generous supply of delicious buns. As the extraterrestrial influence enhances the crops, the champion's consumption reaches new heights, drawing attention to the extraordinary increase in hot dog consumption.

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: [ Surrealism ] and depicting this scene: Imagine a vast field in North Dakota, where wheat and corn crops sway gently in the breeze. In the distance, a flying saucer hovers above the fields, its lights casting an otherworldly glow. Among the crops, large and plump hot dog buns grow, with an irresistible aroma wafting through the air. Nearby, the reigning Nathan's Hot Dog Eating Competition Champion stands triumphantly, devouring hot dogs at a rapid pace, aided by the generous supply of delicious buns. As the extraterrestrial influence enhances the crops, the champion's consumption reaches new heights, drawing attention to the extraordinary increase in hot dog consumption. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image depicting a surreal scene of a vast North Dakota field with wheat and corn crops swaying gently, while a flying saucer hovers above, casting an otherworldly glow. Among the crops, large hot dog buns grow, emitting an irresistible aroma into the air. In the midst of this unusual setting, the reigning Nathan's Hot Dog Eating Competition Champion triumphantly devours hot dogs at a rapid pace, aided by the generous supply of delicious buns. The extraterrestrial influence enhances the crops, drawing attention to the extraordinary increase in hot dog consumption.

*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 increases in UFO sightings in North Dakota positively influenced Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion.

AI academic paper

(Because p < 0.01)
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

The Journal of Extraterrestrial Gastronomy

Jan 2024

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


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between UFO sightings in North Dakota and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. 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 Wikipedia to assess this nagging question. You found a correlation coefficient of 0.8377066 and p < 0.01 for 1979 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]]
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.
Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between UFO sightings in North Dakota and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The unexplored frontier of statistical analysis often yields unexpected and curious connections that pique the interest of both scientists and laypersons alike. In this vein, our study delves into the enigmatic relationship between UFO sightings in North Dakota and the seemingly unrelated but irresistibly intriguing facet of hotdog consumption by the esteemed victors of Nathan's Hot Dog Eating Competition. The juxtaposition of extraterrestrial phenomena and competitive gastronomic feats may seem whimsical at first glance, but our rigorous analysis has uncovered a statistically robust correlation that demands attention.

While we often attribute unusual phenomena to random chance or unfathomable coincidence, our investigation has revealed a striking pattern that has captured our collective imagination and appetite for investigation (both intellectual and gastronomic). The state of North Dakota, known for its expansive plains and enigmatic crop circles, has also emerged as a hotbed for UFO sightings, adding a dash of cosmic mystique to this statistical inquiry. Conversely, the annual Nathan's Hot Dog Eating Competition, held in the bustling urban landscape of Coney Island, presents a gluttonous display of competitive eating prowess that seems worlds apart from celestial visitations.

Our study harnesses data spanning several decades, meticulously sourced from the National UFO Reporting Center and Wikipedia, to rigorously analyze this unlikely pairing. The time frame from 1979 to 2021 provides a rich tapestry of events and numbers, allowing us to discern patterns that may have previously eluded both aficionados of unexplained phenomena and avid consumers of fast food statistics.

As we unravel the intriguing correlation between UFO sightings and the consumption of hotdogs by Nathan's Hot Dog Eating Competition Champion, we invite the reader to join us in this scientific journey that promises more than just statistical revelations. Our findings not only challenge conventional wisdom but also beckon us to contemplate the cosmic cravings of champions and the potential interstellar flavors that may subtly influence competitive eating events. This investigation serves as a reminder that, in the grand symphony of statistical inquiry, even the most seemingly disparate variables can harmonize in unexpected ways, painting a delightful portrait of statistical serendipity.
Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between UFO sightings in North Dakota and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The unexplored frontier of statistical analysis often yields unexpected and curious connections that pique the interest of both scientists and laypersons alike. In this vein, our study delves into the enigmatic relationship between UFO sightings in North Dakota and the seemingly unrelated but irresistibly intriguing facet of hotdog consumption by the esteemed victors of Nathan's Hot Dog Eating Competition. The juxtaposition of extraterrestrial phenomena and competitive gastronomic feats may seem whimsical at first glance, but our rigorous analysis has uncovered a statistically robust correlation that demands attention.
While we often attribute unusual phenomena to random chance or unfathomable coincidence, our investigation has revealed a striking pattern that has captured our collective imagination and appetite for investigation (both intellectual and gastronomic). The state of North Dakota, known for its expansive plains and enigmatic crop circles, has also emerged as a hotbed for UFO sightings, adding a dash of cosmic mystique to this statistical inquiry. Conversely, the annual Nathan's Hot Dog Eating Competition, held in the bustling urban landscape of Coney Island, presents a gluttonous display of competitive eating prowess that seems worlds apart from celestial visitations.
Our study harnesses data spanning several decades, meticulously sourced from the National UFO Reporting Center and Wikipedia, to rigorously analyze this unlikely pairing. The time frame from 1979 to 2021 provides a rich tapestry of events and numbers, allowing us to discern patterns that may have previously eluded both aficionados of unexplained phenomena and avid consumers of fast food statistics.
As we unravel the intriguing correlation between UFO sightings and the consumption of hotdogs by Nathan's Hot Dog Eating Competition Champion, we invite the reader to join us in this scientific journey that promises more than just statistical revelations. Our findings not only challenge conventional wisdom but also beckon us to contemplate the cosmic cravings of champions and the potential interstellar flavors that may subtly influence competitive eating events. This investigation serves as a reminder that, in the grand symphony of statistical inquiry, even the most seemingly disparate variables can harmonize in unexpected ways, painting a delightful portrait of statistical serendipity.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The authors find that the investigation of unconventional and seemingly unrelated phenomena often leads to unexpected and, at times, whimsical discoveries that elicit both academic curiosity and a sprinkle of amusement. While the overarching theme of this literature review, concerning the correlation between UFO sightings in North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition, may seem like a departure from the realms of traditional statistical inquiry, the insights gleaned from this exploration are as intriguing as they are appetizing.

Smith (2008) presents a comprehensive study on celestial visitations and their potential influence on earthly consumables, delving into the cosmic implications of gastronomic anomalies. The findings of Doe (2014) cast a curious light on competitive eating events and their subtle connection to interstellar flavors, highlighting the enigmatic interplay between cosmic phenomena and gluttonous exploits. Conversely, Jones (2016) transports the reader to the heart of North Dakota's UFO hotspots, weaving a tapestry of otherworldly sightings and the tantalizing specter of extraterrestrial gustatory delights.

While the scholarly contributions in this field provide a foundation for our understanding of the UFO-hotdog nexus, the literature also encompasses works of non-fiction that offer nuanced perspectives on the intertwining of celestial happenings and earthly indulgences. Books such as "The UFO Experience: A Scientific Inquiry" (Hynek, 1972) and "Hot Dogs and Gluttony: Exploring Competitive Eating Culture" (Levin, 2015) provide invaluable insights into the mysterious allure of cosmic incursions and the competitive consumption of comestibles.

In a departure from conventional academic literature, the fiction genre offers imaginative narratives that capture the essence of our research topic in unexpected ways. "Close Encounters of the Tasty Kind" (Johnson, 2003) and "The Hotdog Chronicles: An Intergalactic Gastronomic Odyssey" (Peters, 2018) transport readers into the realm of speculative fiction, where UFO sightings and hotdog consumption intertwine in whimsical and thought-provoking ways.

Additionally, the world of board games offers intriguing parables of unexpected connections, as exemplified by "Cosmic Cuisine: An Extraterrestrial Eating Extravaganza" and "UFOs and Franks: A Statistical Showdown" – games that playfully explore the intersection of celestial phenomena and competitive eating, offering a whimsical yet insightful perspective on our research themes.

As we embark on this literary odyssey of unearthly sightings and culinary conquests, we invite the reader to savor the playful intricacies of these scholarly and imaginative works, which collectively enrich our understanding of the enigmatic relationship between UFO sightings in North Dakota and the consumption of hotdogs by the champions at Nathan's Hot Dog Eating Competition. This exploration not only beckons us to ponder the cosmic cravings of champions but also serves as a delightful reminder that statistical inquiry, much like a savory hotdog, can yield unexpected and flavorful revelations.
Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between UFO sightings in North Dakota and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from National UFO Reporting Center and Wikipedia . You used data from 1979 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]]
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.

[[INTRODUCTION]]
The unexplored frontier of statistical analysis often yields unexpected and curious connections that pique the interest of both scientists and laypersons alike. In this vein, our study delves into the enigmatic relationship between UFO sightings in North Dakota and the seemingly unrelated but irresistibly intriguing facet of hotdog consumption by the esteemed victors of Nathan's Hot Dog Eating Competition. The juxtaposition of extraterrestrial phenomena and competitive gastronomic feats may seem whimsical at first glance, but our rigorous analysis has uncovered a statistically robust correlation that demands attention.
While we often attribute unusual phenomena to random chance or unfathomable coincidence, our investigation has revealed a striking pattern that has captured our collective imagination and appetite for investigation (both intellectual and gastronomic). The state of North Dakota, known for its expansive plains and enigmatic crop circles, has also emerged as a hotbed for UFO sightings, adding a dash of cosmic mystique to this statistical inquiry. Conversely, the annual Nathan's Hot Dog Eating Competition, held in the bustling urban landscape of Coney Island, presents a gluttonous display of competitive eating prowess that seems worlds apart from celestial visitations.
Our study harnesses data spanning several decades, meticulously sourced from the National UFO Reporting Center and Wikipedia, to rigorously analyze this unlikely pairing. The time frame from 1979 to 2021 provides a rich tapestry of events and numbers, allowing us to discern patterns that may have previously eluded both aficionados of unexplained phenomena and avid consumers of fast food statistics.
As we unravel the intriguing correlation between UFO sightings and the consumption of hotdogs by Nathan's Hot Dog Eating Competition Champion, we invite the reader to join us in this scientific journey that promises more than just statistical revelations. Our findings not only challenge conventional wisdom but also beckon us to contemplate the cosmic cravings of champions and the potential interstellar flavors that may subtly influence competitive eating events. This investigation serves as a reminder that, in the grand symphony of statistical inquiry, even the most seemingly disparate variables can harmonize in unexpected ways, painting a delightful portrait of statistical serendipity.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the potentially cosmic connection between UFO sightings in North Dakota and the consumption of hotdogs by the illustrious champions of Nathan's Hot Dog Eating Competition, our research team embarked on a comprehensive and, dare I say, out-of-this-world journey. The data collection process involved a thorough mining of digital archives, primarily leveraging the National UFO Reporting Center and the vast expanse of knowledge housed within Wikipedia. While skeptics may raise an eyebrow at the use of such unconventional sources, our team was undeterred, believing that the internet holds a plethora of both earthly and cosmic information waiting to be unearthed.

To ensure an expansive temporal perspective, we cast our data net over the substantial timeframe from 1979 to 2021, encompassing a period ripe with both UFO sightings and feats of frankfurter consumption. This duration provided us with a rich canvas upon which to paint our statistical inquiries, granting a panoramic view of the waxing and waning celestial activities and gustatory triumphs.

Now, the statistical analyses conducted to facilitate the exploration of this peculiar nexus can only be described as a cosmic ballet of mathematical acrobatics. We employed an array of methodology that ranged from the elegant twirls of correlation analysis to the daring leaps of regression models. Through these rigorous gyrations, we extracted insights that transcended the mundane, challenging our very understanding of statistical connection and generating an empirical spectacle worthy of both scientific scrutiny and a standing ovation.

Furthermore, we did not shy away from incorporating advanced techniques, including time series analysis, to capture the rhythmic undulations of UFO sightings and the cyclic pattern of hotdog consumption. The esoteric allure of this multifaceted approach allowed us to tease out hidden patterns that may have eluded more pedestrian methodologies, and undoubtedly added an element of intrigue to our cosmic culinary quest.

In addition, to account for the potential influence of extraterrestrial and terrestrial confounders (as improbable as they may seem), we employed stratified sampling techniques to ensure a balanced representation of celestial events and competitive eating extravaganzas. The celestial confounders were identified using our best judgment coupled with a tongue-in-cheek appreciation for the cosmic unknown, providing a slightly whimsical yet statistically scrupulous foundation for our analyses.

Finally, our data underwent rounds of rigorous scrutiny, akin to a chef meticulously crafting a gourmet hotdog, to ensure its robustness and reliability. We performed sensitivity analyses and cross-validated our findings, fortifying our conclusions against the nebulous impact of statistical noise and cosmic interference.

In sum, our methodological approach combined the rigor of traditional statistical techniques with a dash of celestial whimsy, resulting in an analytical odyssey that not only shed light on an unexpected correlation but also left a residual taste for further cosmic culinary inquiry.
Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between UFO sightings in North Dakota and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from National UFO Reporting Center and Wikipedia .

For the time period 1979 to 2021, you found a correlation 0.8377066, r-squared of 0.7017523, 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]]
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The unexplored frontier of statistical analysis often yields unexpected and curious connections that pique the interest of both scientists and laypersons alike. In this vein, our study delves into the enigmatic relationship between UFO sightings in North Dakota and the seemingly unrelated but irresistibly intriguing facet of hotdog consumption by the esteemed victors of Nathan's Hot Dog Eating Competition. The juxtaposition of extraterrestrial phenomena and competitive gastronomic feats may seem whimsical at first glance, but our rigorous analysis has uncovered a statistically robust correlation that demands attention.
While we often attribute unusual phenomena to random chance or unfathomable coincidence, our investigation has revealed a striking pattern that has captured our collective imagination and appetite for investigation (both intellectual and gastronomic). The state of North Dakota, known for its expansive plains and enigmatic crop circles, has also emerged as a hotbed for UFO sightings, adding a dash of cosmic mystique to this statistical inquiry. Conversely, the annual Nathan's Hot Dog Eating Competition, held in the bustling urban landscape of Coney Island, presents a gluttonous display of competitive eating prowess that seems worlds apart from celestial visitations.
Our study harnesses data spanning several decades, meticulously sourced from the National UFO Reporting Center and Wikipedia, to rigorously analyze this unlikely pairing. The time frame from 1979 to 2021 provides a rich tapestry of events and numbers, allowing us to discern patterns that may have previously eluded both aficionados of unexplained phenomena and avid consumers of fast food statistics.
As we unravel the intriguing correlation between UFO sightings and the consumption of hotdogs by Nathan's Hot Dog Eating Competition Champion, we invite the reader to join us in this scientific journey that promises more than just statistical revelations. Our findings not only challenge conventional wisdom but also beckon us to contemplate the cosmic cravings of champions and the potential interstellar flavors that may subtly influence competitive eating events. This investigation serves as a reminder that, in the grand symphony of statistical inquiry, even the most seemingly disparate variables can harmonize in unexpected ways, painting a delightful portrait of statistical serendipity.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis conducted in this study unraveled a remarkable correlation between UFO sightings in North Dakota and the amount of hotdogs consumed by the Nathan's Hot Dog Eating Competition Champion. The Pearson correlation coefficient for this unlikely pair of variables was found to be 0.8377066, indicating a substantial positive correlation. Furthermore, the coefficient of determination (r-squared) was calculated to be 0.7017523, suggesting that approximately 70% of the variability in hotdog consumption can be explained by the presence of UFO sightings in North Dakota. The significance level of the correlation was also found to be highly significant, with p < 0.01, providing strong evidence against the null hypothesis of no relationship between the two phenomena.

The findings of this analysis are encapsulated in Figure 1, which displays a scatterplot illustrating the strong positive correlation between UFO sightings in North Dakota and the amount of hotdogs consumed by the reigning champion of Nathan's Hot Dog Eating Competition.

The robustness of the observed correlation prompts a re-evaluation of conventional assumptions about the extraterrestrial influence on Earthly activities. Our results not only suggest a tantalizing link between celestial visitations and competitive gastronomic feats but also give rise to a smorgasbord of questions about the appetites and cravings of those who indulge in the consumption of otherworldly delights. This unexpected and yet compelling correlation not only challenges traditional scientific paradigms but also adds a flavor of cosmic mystery to the world of statistical analysis.
Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between UFO sightings in North Dakota and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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]]
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.

[[LITERATURE REVIEW]]
The authors find that the investigation of unconventional and seemingly unrelated phenomena often leads to unexpected and, at times, whimsical discoveries that elicit both academic curiosity and a sprinkle of amusement. While the overarching theme of this literature review, concerning the correlation between UFO sightings in North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition, may seem like a departure from the realms of traditional statistical inquiry, the insights gleaned from this exploration are as intriguing as they are appetizing.
Smith (2008) presents a comprehensive study on celestial visitations and their potential influence on earthly consumables, delving into the cosmic implications of gastronomic anomalies. The findings of Doe (2014) cast a curious light on competitive eating events and their subtle connection to interstellar flavors, highlighting the enigmatic interplay between cosmic phenomena and gluttonous exploits. Conversely, Jones (2016) transports the reader to the heart of North Dakota's UFO hotspots, weaving a tapestry of otherworldly sightings and the tantalizing specter of extraterrestrial gustatory delights.
While the scholarly contributions in this field provide a foundation for our understanding of the UFO-hotdog nexus, the literature also encompasses works of non-fiction that offer nuanced perspectives on the intertwining of celestial happenings and earthly indulgences. Books such as "The UFO Experience: A Scientific Inquiry" (Hynek, 1972) and "Hot Dogs and Gluttony: Exploring Competitive Eating Culture" (Levin, 2015) provide invaluable insights into the mysterious allure of cosmic incursions and the competitive consumption of comestibles.
In a departure from conventional academic literature, the fiction genre offers imaginative narratives that capture the essence of our research topic in unexpected ways. "Close Encounters of the Tasty Kind" (Johnson, 2003) and "The Hotdog Chronicles: An Intergalactic Gastronomic Odyssey" (Peters, 2018) transport readers into the realm of speculative fiction, where UFO sightings and hotdog consumption intertwine in whimsical and thought-provoking ways.
Additionally, the world of board games offers intriguing parables of unexpected connections, as exemplified by "Cosmic Cuisine: An Extraterrestrial Eating Extravaganza" and "UFOs and Franks: A Statistical Showdown" – games that playfully explore the intersection of celestial phenomena and competitive eating, offering a whimsical yet insightful perspective on our research themes.
As we embark on this literary odyssey of unearthly sightings and culinary conquests, we invite the reader to savor the playful intricacies of these scholarly and imaginative works, which collectively enrich our understanding of the enigmatic relationship between UFO sightings in North Dakota and the consumption of hotdogs by the champions at Nathan's Hot Dog Eating Competition. This exploration not only beckons us to ponder the cosmic cravings of champions but also serves as a delightful reminder that statistical inquiry, much like a savory hotdog, can yield unexpected and flavorful revelations.

[[RESULTS]]
The statistical analysis conducted in this study unraveled a remarkable correlation between UFO sightings in North Dakota and the amount of hotdogs consumed by the Nathan's Hot Dog Eating Competition Champion. The Pearson correlation coefficient for this unlikely pair of variables was found to be 0.8377066, indicating a substantial positive correlation. Furthermore, the coefficient of determination (r-squared) was calculated to be 0.7017523, suggesting that approximately 70% of the variability in hotdog consumption can be explained by the presence of UFO sightings in North Dakota. The significance level of the correlation was also found to be highly significant, with p < 0.01, providing strong evidence against the null hypothesis of no relationship between the two phenomena.
The findings of this analysis are encapsulated in Figure 1, which displays a scatterplot illustrating the strong positive correlation between UFO sightings in North Dakota and the amount of hotdogs consumed by the reigning champion of Nathan's Hot Dog Eating Competition.
The robustness of the observed correlation prompts a re-evaluation of conventional assumptions about the extraterrestrial influence on Earthly activities. Our results not only suggest a tantalizing link between celestial visitations and competitive gastronomic feats but also give rise to a smorgasbord of questions about the appetites and cravings of those who indulge in the consumption of otherworldly delights. This unexpected and yet compelling correlation not only challenges traditional scientific paradigms but also adds a flavor of cosmic mystery to the world of statistical analysis.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The findings of our study have brought forth an intriguing connection between UFO sightings in North Dakota and the consumption of hotdogs by the champion of Nathan's Hot Dog Eating Competition. Unveiling a strong positive correlation between these seemingly disparate phenomena, the results not only align with prior research but also add a unique flavor to the landscape of statistical inquiry.

Harkening back to the curious literature review, the works of Smith (2008) resonated with the cosmic implications of gastronomic anomalies, which find support in our study's findings. The enigmatic interplay between celestial phenomena and gluttonous exploits, as highlighted by Doe (2014), takes on a palpable form through our observed correlation. Jones's (2016) tapestry of otherworldly sightings and the tantalizing specter of extraterrestrial gustatory delights finds a surprising resonance in our statistical analysis, lending credence to the notion of an interstellar connection to earthly indulgences.

The robust coefficient of determination (r-squared) of 0.7017523 signifies that approximately 70% of the variability in hotdog consumption can be explained by the presence of UFO sightings in North Dakota, echoing the whimsical narratives found in the fiction genre, as referenced in the literature review. This unexpected alignment with speculative fiction adds a layer of intrigue to our seemingly out-of-this-world findings.

Moreover, the highly significant p-value, indicating p < 0.01, aligns with the scholarly contributions in the field, emphasizing the unexpected yet compelling nature of the correlation between celestial visitations and gluttonous feats. This exceptional level of significance challenges traditional scientific paradigms, adding a tantalizing flavor of cosmic mystery to the world of statistical analysis.

In summary, our research not only expands the palate of statistical inquiry but also raises questions about the appetites and cravings of champions who partake in the consumption of otherworldly delights. The unexpected synergy between UFO sightings and hotdog consumption invites further exploration, serving as a delightful reminder that statistical inquiry, much like a savory hotdog, can yield unexpected and flavorful revelations.
Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics journal.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between UFO sightings in North Dakota and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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]]
Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.

[[INTRDUCTION]]
The unexplored frontier of statistical analysis often yields unexpected and curious connections that pique the interest of both scientists and laypersons alike. In this vein, our study delves into the enigmatic relationship between UFO sightings in North Dakota and the seemingly unrelated but irresistibly intriguing facet of hotdog consumption by the esteemed victors of Nathan's Hot Dog Eating Competition. The juxtaposition of extraterrestrial phenomena and competitive gastronomic feats may seem whimsical at first glance, but our rigorous analysis has uncovered a statistically robust correlation that demands attention.
While we often attribute unusual phenomena to random chance or unfathomable coincidence, our investigation has revealed a striking pattern that has captured our collective imagination and appetite for investigation (both intellectual and gastronomic). The state of North Dakota, known for its expansive plains and enigmatic crop circles, has also emerged as a hotbed for UFO sightings, adding a dash of cosmic mystique to this statistical inquiry. Conversely, the annual Nathan's Hot Dog Eating Competition, held in the bustling urban landscape of Coney Island, presents a gluttonous display of competitive eating prowess that seems worlds apart from celestial visitations.
Our study harnesses data spanning several decades, meticulously sourced from the National UFO Reporting Center and Wikipedia, to rigorously analyze this unlikely pairing. The time frame from 1979 to 2021 provides a rich tapestry of events and numbers, allowing us to discern patterns that may have previously eluded both aficionados of unexplained phenomena and avid consumers of fast food statistics.
As we unravel the intriguing correlation between UFO sightings and the consumption of hotdogs by Nathan's Hot Dog Eating Competition Champion, we invite the reader to join us in this scientific journey that promises more than just statistical revelations. Our findings not only challenge conventional wisdom but also beckon us to contemplate the cosmic cravings of champions and the potential interstellar flavors that may subtly influence competitive eating events. This investigation serves as a reminder that, in the grand symphony of statistical inquiry, even the most seemingly disparate variables can harmonize in unexpected ways, painting a delightful portrait of statistical serendipity.

[[RESULTS]]
The statistical analysis conducted in this study unraveled a remarkable correlation between UFO sightings in North Dakota and the amount of hotdogs consumed by the Nathan's Hot Dog Eating Competition Champion. The Pearson correlation coefficient for this unlikely pair of variables was found to be 0.8377066, indicating a substantial positive correlation. Furthermore, the coefficient of determination (r-squared) was calculated to be 0.7017523, suggesting that approximately 70% of the variability in hotdog consumption can be explained by the presence of UFO sightings in North Dakota. The significance level of the correlation was also found to be highly significant, with p < 0.01, providing strong evidence against the null hypothesis of no relationship between the two phenomena.
The findings of this analysis are encapsulated in Figure 1, which displays a scatterplot illustrating the strong positive correlation between UFO sightings in North Dakota and the amount of hotdogs consumed by the reigning champion of Nathan's Hot Dog Eating Competition.
The robustness of the observed correlation prompts a re-evaluation of conventional assumptions about the extraterrestrial influence on Earthly activities. Our results not only suggest a tantalizing link between celestial visitations and competitive gastronomic feats but also give rise to a smorgasbord of questions about the appetites and cravings of those who indulge in the consumption of otherworldly delights. This unexpected and yet compelling correlation not only challenges traditional scientific paradigms but also adds a flavor of cosmic mystery to the world of statistical analysis.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation has illuminated a compelling correlation between UFO sightings in North Dakota and the consumption of hotdogs by the Nathan's Hot Dog Eating Competition Champion. The findings of this study have raised more than a few eyebrows, with a coefficient of 0.8377066 and a p-value less than 0.01, indicating a surprisingly strong relationship that is not merely a statistical fluke. It appears that the extraterrestrial presence in North Dakota may have a significant influence on the competitive eating prowess of champions, adding a cosmic flavor to gastronomic feats.

The implications of this correlation reach beyond the realm of traditional statistical inquiry, as it incites speculation about the interplay of celestial phenomena and earthly indulgences. While we tread the fine line between statistical rigor and speculative musing, the tantalizing nature of this unexpected connection cannot be ignored. The cosmic cravings of champions and the potential extraterrestrial flavors that may influence competitive eating events beckon us to contemplate a universe of gastronomic wonder.

This study, though lighthearted in its subject matter, underscores the serendipitous nature of statistical exploration and the delightful surprises that emerge when we venture into uncharted territories of analysis. It also underscores the need for researchers to keep an open mind and a sense of humor when exploring the intersections of seemingly unrelated phenomena.

While this investigation has unveiled a cosmic correlation that tickles the imagination, it also hints that the universe may indeed have a taste for statistical mischief. Therefore, in the spirit of a statistical thought experiment, it may be prudent to acknowledge that no more research is warranted in this particular cosmic buffet of statistical curiosities.
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 Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Extraterrestrial Gastronomy
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 Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion. Respond only with the name of a fictional organization.

ChatGPT:

The Association for Extraterrestrial Gastronomy 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 Unidentified Flavors of Extraterrestrial Origin: A Statistical Analysis of the Link between UFO Sightings in North Dakota and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion with an abstract of This study investigates the curious relationship between UFO sightings in the state of North Dakota and the consumption of hotdogs by the reigning champion of Nathan's Hot Dog Eating Competition. Data spanning over four decades from 1979 to 2021, sourced from the National UFO Reporting Center and Wikipedia, were subjected to rigorous statistical analysis. The findings reveal a remarkably strong correlation, with a coefficient of 0.8377066 and p < 0.01, suggesting a tantalizing connection between extraterrestrial phenomena and competitive hotdog consumption. Our results not only raise eyebrows but also whet the appetite for further exploration of the peculiar nexus between celestial visitations and gastronomic feats. This research uncovers an unexpected link that tantalizes the taste buds of the curious and prompts a probing inquiry into the cosmic cravings of champions.

ChatGPT:

UFO sightings, North Dakota, Nathan's hot dog eating competition, statistical analysis, correlation, hotdog consumption, extraterrestrial phenomena, competitive eating, celestial visitations, gastronomic feats

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

Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion
Detailed data title: Hotdog Consumption by Nathan's Hot Dog Eating Competition Champion
Source: Wikipedia
See what else correlates with Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion

Correlation r = 0.8377066 (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 = 0.7017523 (Coefficient of determination)
This means 70.2% of the change in the one variable (i.e., Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion) is predictable based on the change in the other (i.e., UFO sightings in North Dakota) over the 43 years from 1979 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 2.5E-12. 0.0000000000024799427037243722
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 0.84 in 2.5E-10% of random cases. Said differently, if you correlated 403,235,122,529 random variables You don't actually need 403 billion variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

p-value calculations are useful for understanding the probability of a result happening by chance. They are most useful when used to highlight the risk of a fluke outcome. For example, if you calculate a p-value of 0.30, the risk that the result is a fluke is high. It is good to know that! But there are lots of ways to get a p-value of less than 0.01, as evidenced by this project.

In this particular case, the values are so extreme as to be meaningless. That's why no one reports p-values with specificity after they drop below 0.01.

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 42 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 42 because we have two variables measured over a period of 43 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.72, 0.91 ] 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.
1979198019811982198319841985198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
UFO sightings in North Dakota (UFO sightings)100020000002100034256554993861095121271011129914112
Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion (Hotdogs eaten)99.5111110.59.511.7515.513.51015.51621.519172019.522.2524.51920.25255050.544.553.334953.75665968546268696162707274717576




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([1,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,3,4,2,5,6,5,5,4,9,9,3,8,6,10,9,5,12,12,7,10,11,12,9,9,14,11,2,])
array_2 = np.array([9,9.5,11,11,10.5,9.5,11.75,15.5,13.5,10,15.5,16,21.5,19,17,20,19.5,22.25,24.5,19,20.25,25,50,50.5,44.5,53.33,49,53.75,66,59,68,54,62,68,69,61,62,70,72,74,71,75,76,])
array_1_name = "UFO sightings in North Dakota"
array_2_name = "Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion"

# 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: 1026 · Black Variable ID: 1197 · Red Variable ID: 500
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