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Spurious correlation #1,628 · 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 Oklahoma 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 beamed down extra hungry participants who just couldn't resist the tantalizing aroma of competitive hot dog eating in Oklahoma. As the saucer-shaped craft hovered overhead, it emitted a cosmic signal that inadvertently boosted the appetites of both the contestants and the crowd. It seems that in the ultimate display of otherworldly influence, these unidentified flying objects truly made their mark on the unexplainable connection between UFO sightings and the astounding consumption of Nathan's famous hot dogs. The truth is out there, and it's apparently craving a side of sauerkraut!

Model: dalle-3
Prompt: Generate an image in the style of a TIME magazine cover, showing a captivating scene in a field in Oklahoma. In the background, mysterious and glowing UFOs streak across the night sky as mesmerized onlookers watch in awe. Among the crowd, the Nathan's Hot Dog Eating Competition Champion stands, holding a stack of hotdog buns and cheering on the amazed spectators. The image should capture the surreal and thrilling moment, creating a sense of wonder and excitement. 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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. 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: A scene from Skyrim Cute 2D animation Scalar art A TIME magazine cover image Hyper-realistic
ChatGPT: A TIME magazine cover image

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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion together. Keep the description simple.
ChatGPT: In a field in Oklahoma, people are looking up at the night sky, spotting a glowing UFO flying overhead. In the same scene, Nathan's Hot Dog Eating Competition Champion is standing nearby, holding a stack of hotdog buns and cheering on the crowd.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ A TIME magazine cover image ] and depicting this scene: In a field in Oklahoma, people are looking up at the night sky, spotting a glowing UFO flying overhead. In the same scene, Nathan's Hot Dog Eating Competition Champion is standing nearby, holding a stack of hotdog buns and cheering on the crowd. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image in the style of a TIME magazine cover, showing a captivating scene in a field in Oklahoma. In the background, mysterious and glowing UFOs streak across the night sky as mesmerized onlookers watch in awe. Among the crowd, the Nathan's Hot Dog Eating Competition Champion stands, holding a stack of hotdog buns and cheering on the amazed spectators. The image should capture the surreal and thrilling moment, creating a sense of wonder and excitement.

*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 Oklahoma caused Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion to increase.

AI academic paper

(Because p < 0.01)
Unidentified Feasting Objects: The Correlation Between UFO Sightings in Oklahoma 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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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 0.8476851 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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?"


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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Here is the title and abstract of the paper:
[[TITLE]]
Unidentified Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?"

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

"Are UFOs trying to 'saucer' the limelight from the humble hotdog?" This seemingly whimsical question has been the subject of much speculation and curiosity for years, prompting us to embark on an investigation that is sure to add some flavor to the world of statistical analysis. Our research seeks to unravel the enigmatic connection between UFO sightings in Oklahoma and the consumption of hotdogs by the renowned champion of Nathan's Hot Dog Eating Competition. As we embark on this cosmic quest, we cannot help but remember the wise words of a famous physicist: "Time is an illusion, lunchtime doubly so." Though in this case, we may find that the illusion is not time, but a tantalizing link between extraterrestrial visitations and the indulgence in processed meat products.

The notion of UFO sightings and hotdog consumption may initially appear to be as unrelated as ketchup and ice cream, but as we delve deeper into the data, a tantalizing correlation emerges, leaving us with one undeniable truth: the universe is full of surprises, much like finding a good hotdog pun at a science conference - they are both unexpected and appreciated.

Initially, one might be inclined to think that UFO sightings and hotdog consumption are merely chance occurrences, akin to finding a pickle in the bun of statistical anomalies. However, our preliminary exploration into this peculiar pairing has led us to contemplate the possibility of an underlying relationship between these two seemingly disparate phenomena. This prompts us to echo the sentiments of many UFO enthusiasts and food aficionados alike, who often find themselves pondering the age-old question: "What do you get when you cross a UFO with a hotdog? Unidentified Flavored Object!"

To embark on this cosmic hotdog odyssey, we turn to the National UFO Reporting Center, a treasure trove of otherworldly encounters, and Wikipedia, a repository of competitive eating triumphs. These sources provide us with the necessary data to conduct a rigorous analysis that aims to uncover any patterns or linkages between UFO sightings in Oklahoma and the hotdog consumption habits of the Nathan's Hot Dog Eating Competition champion. As we embark on this statistical soiree, we do so with a spirit of inquiry and perhaps a dash of mustard, determined to shed light on a curious correlation that may leave us exclaiming, "Eureka! We have finally uncovered the 'relish' between the two!"

In conducting this investigation, we are not only traversing the intersection of UFOlogy and gastroenterology but also seeking to broaden our understanding of the sometimes unexpected connections that exist in the world around us. Our research endeavors to bring to light a correlation that may leave both skeptics and enthusiasts exclaiming, "It's not just a 'fringe' theory, but a statistical anomaly worth investigating!"

In the following sections of this paper, we will present our methodological approach, the results of our analysis, and the implications of our findings. Join us on this journey through statistical space and culinary time as we uncover the surprising relationship between Unidentified Feasting Objects and the champion of the Nathan's Hot Dog Eating Competition. Because when it comes to statistical analysis, just like hotdogs, sometimes the truth is stranger than fiction.


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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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]]
Unidentified Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?"

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
"Are UFOs trying to 'saucer' the limelight from the humble hotdog?" This seemingly whimsical question has been the subject of much speculation and curiosity for years, prompting us to embark on an investigation that is sure to add some flavor to the world of statistical analysis. Our research seeks to unravel the enigmatic connection between UFO sightings in Oklahoma and the consumption of hotdogs by the renowned champion of Nathan's Hot Dog Eating Competition. As we embark on this cosmic quest, we cannot help but remember the wise words of a famous physicist: "Time is an illusion, lunchtime doubly so." Though in this case, we may find that the illusion is not time, but a tantalizing link between extraterrestrial visitations and the indulgence in processed meat products.
The notion of UFO sightings and hotdog consumption may initially appear to be as unrelated as ketchup and ice cream, but as we delve deeper into the data, a tantalizing correlation emerges, leaving us with one undeniable truth: the universe is full of surprises, much like finding a good hotdog pun at a science conference - they are both unexpected and appreciated.
Initially, one might be inclined to think that UFO sightings and hotdog consumption are merely chance occurrences, akin to finding a pickle in the bun of statistical anomalies. However, our preliminary exploration into this peculiar pairing has led us to contemplate the possibility of an underlying relationship between these two seemingly disparate phenomena. This prompts us to echo the sentiments of many UFO enthusiasts and food aficionados alike, who often find themselves pondering the age-old question: "What do you get when you cross a UFO with a hotdog? Unidentified Flavored Object!"
To embark on this cosmic hotdog odyssey, we turn to the National UFO Reporting Center, a treasure trove of otherworldly encounters, and Wikipedia, a repository of competitive eating triumphs. These sources provide us with the necessary data to conduct a rigorous analysis that aims to uncover any patterns or linkages between UFO sightings in Oklahoma and the hotdog consumption habits of the Nathan's Hot Dog Eating Competition champion. As we embark on this statistical soiree, we do so with a spirit of inquiry and perhaps a dash of mustard, determined to shed light on a curious correlation that may leave us exclaiming, "Eureka! We have finally uncovered the 'relish' between the two!"
In conducting this investigation, we are not only traversing the intersection of UFOlogy and gastroenterology but also seeking to broaden our understanding of the sometimes unexpected connections that exist in the world around us. Our research endeavors to bring to light a correlation that may leave both skeptics and enthusiasts exclaiming, "It's not just a 'fringe' theory, but a statistical anomaly worth investigating!"
In the following sections of this paper, we will present our methodological approach, the results of our analysis, and the implications of our findings. Join us on this journey through statistical space and culinary time as we uncover the surprising relationship between Unidentified Feasting Objects and the champion of the Nathan's Hot Dog Eating Competition. Because when it comes to statistical analysis, just like hotdogs, sometimes the truth is stranger than fiction.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Smith et al. (2015) examined the potential link between UFO sightings and unusual dietary habits, though their study focused primarily on alien cuisine preferences rather than terrestrial consumables. Similarly, Doe and Jones (2018) investigated the extraterrestrial implications of interstellar food delivery, overlooking the earthly context of competitive eating championships. While these studies contribute to the broader discourse on otherworldly gastronomy, they fail to address the specific correlation between UFO sightings in Oklahoma and the unparalleled consumption of hotdogs by the champion of Nathan's Hot Dog Eating Competition.

Steering our investigation towards more terrestrial matters, we turn to "The UFO Phenomenon: Fact, Fantasy and Disinformation" by John Michael Greer, wherein the author explores various aspects of UFO sightings and their cultural significance. Meanwhile, in "Hog Dogs and Corn Dogs: An Anthology," the writers offer a collection of stories where hotdogs and county fairs are central themes, but alas, no mention of extraterrestrial encounters. The absence of direct evidence in these works emphasizes the novelty and obscurity of our undertaking, prompting a proverbial sigh and a relatable dad joke: "Why do hotdogs never tell secrets? Because they always get roasted!"

Venturing further into uncharted literary territories, we find ourselves perusing "The Hitchhiker's Guide to the Galaxy" by Douglas Adams. While not explicitly focused on UFO sightings or hotdogs, the whimsical narrative highlights the interconnectedness of seemingly unrelated phenomena in the cosmos, much like our present investigation. Similarly, the works of H.G. Wells and Jules Verne provide captivating accounts of extraterrestrial encounters and culinary adventures, albeit not in the context of competitive eating championships or Oklahoma sightings. As we reflect on these literary excursions, we cannot help but wonder, "What do you call a hotdog in space? An 'astro-naughty!'"

In an unexpected turn of scholarly pursuit, the researchers turned to cartoons and children's shows for inspiration, citing the venerable "Scooby-Doo" series for its portrayal of inexplicable mysteries and questionable hotdog consumption by the titular character. While the comedic nature of the show may not directly align with rigorous academic inquiry, the parallels drawn between unexplained phenomena and unexpected gastronomic correlations offer an amusing parallel to our own investigation – a punny reminder that "Scooby snacks and hotdogs have more in common than meets the 'bun'!"

While this literature review may seem to have taken a somewhat, shall we say, "unconventional" route, it serves to underscore the unique and unexplored nature of our research into the relationship between UFO sightings in Oklahoma and the consumption of hotdogs. As we delve into the statistical analysis and unveiling of our findings, we aim to shed light on this surprising correlation, all the while acknowledging the unexpected humor that permeates this cosmic-hotdog conundrum. Because, in the words of a wise dad, "Why don't hotdogs make good detectives? They always 'ketchup' on the evidence too late!"


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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?"

[[INTRODUCTION]]
"Are UFOs trying to 'saucer' the limelight from the humble hotdog?" This seemingly whimsical question has been the subject of much speculation and curiosity for years, prompting us to embark on an investigation that is sure to add some flavor to the world of statistical analysis. Our research seeks to unravel the enigmatic connection between UFO sightings in Oklahoma and the consumption of hotdogs by the renowned champion of Nathan's Hot Dog Eating Competition. As we embark on this cosmic quest, we cannot help but remember the wise words of a famous physicist: "Time is an illusion, lunchtime doubly so." Though in this case, we may find that the illusion is not time, but a tantalizing link between extraterrestrial visitations and the indulgence in processed meat products.
The notion of UFO sightings and hotdog consumption may initially appear to be as unrelated as ketchup and ice cream, but as we delve deeper into the data, a tantalizing correlation emerges, leaving us with one undeniable truth: the universe is full of surprises, much like finding a good hotdog pun at a science conference - they are both unexpected and appreciated.
Initially, one might be inclined to think that UFO sightings and hotdog consumption are merely chance occurrences, akin to finding a pickle in the bun of statistical anomalies. However, our preliminary exploration into this peculiar pairing has led us to contemplate the possibility of an underlying relationship between these two seemingly disparate phenomena. This prompts us to echo the sentiments of many UFO enthusiasts and food aficionados alike, who often find themselves pondering the age-old question: "What do you get when you cross a UFO with a hotdog? Unidentified Flavored Object!"
To embark on this cosmic hotdog odyssey, we turn to the National UFO Reporting Center, a treasure trove of otherworldly encounters, and Wikipedia, a repository of competitive eating triumphs. These sources provide us with the necessary data to conduct a rigorous analysis that aims to uncover any patterns or linkages between UFO sightings in Oklahoma and the hotdog consumption habits of the Nathan's Hot Dog Eating Competition champion. As we embark on this statistical soiree, we do so with a spirit of inquiry and perhaps a dash of mustard, determined to shed light on a curious correlation that may leave us exclaiming, "Eureka! We have finally uncovered the 'relish' between the two!"
In conducting this investigation, we are not only traversing the intersection of UFOlogy and gastroenterology but also seeking to broaden our understanding of the sometimes unexpected connections that exist in the world around us. Our research endeavors to bring to light a correlation that may leave both skeptics and enthusiasts exclaiming, "It's not just a 'fringe' theory, but a statistical anomaly worth investigating!"
In the following sections of this paper, we will present our methodological approach, the results of our analysis, and the implications of our findings. Join us on this journey through statistical space and culinary time as we uncover the surprising relationship between Unidentified Feasting Objects and the champion of the Nathan's Hot Dog Eating Competition. Because when it comes to statistical analysis, just like hotdogs, sometimes the truth is stranger than fiction.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To investigate the intriguing correlation between UFO sightings in Oklahoma and hotdogs consumed by the Nathan's Hot Dog Eating Competition Champion, our research team embarked on a cosmic quest that involved delving into a plethora of data sources and employing a variety of statistical methods. We aimed to leave no stone unturned and no condiment unexamined in our pursuit of unraveling this enigmatic connection.

Our data collection process commenced with the thorough extraction of UFO sighting reports from the National UFO Reporting Center. These reports, cataloged meticulously over the years, served as the extraterrestrial cornerstone of our investigation. We sorted through these reports with the vigilance of a UFO hunter scanning the night sky, meticulously cataloging each sighting and pondering the age-old question, "Why don't aliens eat clowns? Because they taste funny!"

Simultaneously, our team combed through the annals of Nathan's Hot Dog Eating Competition history, sourcing detailed records of hotdog consumption by the reigning champion from the omniscient pages of Wikipedia. The fervor with which we pored over these records would rival the passion of any hotdog enthusiast during a backyard barbecue, and the occasional chuckle-worthy hotdog pun was certainly relished, adding a dash of levity to the rigorous process of data collection.

Our data encompassed the years 1979 to 2021, capturing an expansive temporal window within which to discern any patterns or trends linking these cosmic and culinary phenomena. We carefully curated our dataset, ensuring that no statistical sausage link was left unexamined, and no unidentified data anomaly slipped through the statistical net. As the data poured in, we couldn't help but remark, "This is quite the stellar spread of information, much like an otherworldly buffet of statistical delights!"

With our dataset in hand, we embarked on a statistical soiree that would make even the most discerning extraterrestrial visitor envious. Our analytical approach blended traditional correlation analyses with spectral hotdog entropy measures, yielding a fusion of statistical techniques that mirrored the unexpected fusion of UFO sightings and hotdog consumption. This approach allowed us to not only quantify the strength of the relationship but also to capture the nuanced dynamics underlying this cosmic-hotdog bond. Our analysis, much like a well-made chili topping, added depth and richness to our findings, elevating the study beyond a mere statistical exercise.

To ascertain the robustness of our results, we employed bootstrapping techniques and simulation experiments, harnessing the power of statistical resampling to ensure that our findings were not merely statistical flares in the night sky. We sought to construct a statistical framework that would withstand scrutiny as robustly as a hotdog withstands a competitive eating contest, leaving no room for doubt in the minds of our readers. In the spirit of scientific rigor, our analysis, much like a perfectly grilled hotdog, was subjected to thorough examination to ensure its statistical sizzle and veracity.

Following this multifaceted analytical approach, we arrived at a remarkably high correlation coefficient and a significance level that left little room for skepticism. Our findings, much like a well-done hotdog, were not to be taken lightly, serving as a testament to the robustness of the statistical connection we uncovered.

In the subsequent sections, we present the results of our rigorous analysis and invite readers to savor the implications of our cosmic-hotdog correlation. Join us as we unveil the statistical symphony of UFO sightings and hotdog feasting, leaving you exclaiming, "These results are not just skin-deep, they're relishing in their statistical significance!"

Stay tuned for the exciting unveiling of our results and revel in the unexpected correlations that await!


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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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 0.8476851, r-squared of 0.7185700, 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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?"

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
"Are UFOs trying to 'saucer' the limelight from the humble hotdog?" This seemingly whimsical question has been the subject of much speculation and curiosity for years, prompting us to embark on an investigation that is sure to add some flavor to the world of statistical analysis. Our research seeks to unravel the enigmatic connection between UFO sightings in Oklahoma and the consumption of hotdogs by the renowned champion of Nathan's Hot Dog Eating Competition. As we embark on this cosmic quest, we cannot help but remember the wise words of a famous physicist: "Time is an illusion, lunchtime doubly so." Though in this case, we may find that the illusion is not time, but a tantalizing link between extraterrestrial visitations and the indulgence in processed meat products.
The notion of UFO sightings and hotdog consumption may initially appear to be as unrelated as ketchup and ice cream, but as we delve deeper into the data, a tantalizing correlation emerges, leaving us with one undeniable truth: the universe is full of surprises, much like finding a good hotdog pun at a science conference - they are both unexpected and appreciated.
Initially, one might be inclined to think that UFO sightings and hotdog consumption are merely chance occurrences, akin to finding a pickle in the bun of statistical anomalies. However, our preliminary exploration into this peculiar pairing has led us to contemplate the possibility of an underlying relationship between these two seemingly disparate phenomena. This prompts us to echo the sentiments of many UFO enthusiasts and food aficionados alike, who often find themselves pondering the age-old question: "What do you get when you cross a UFO with a hotdog? Unidentified Flavored Object!"
To embark on this cosmic hotdog odyssey, we turn to the National UFO Reporting Center, a treasure trove of otherworldly encounters, and Wikipedia, a repository of competitive eating triumphs. These sources provide us with the necessary data to conduct a rigorous analysis that aims to uncover any patterns or linkages between UFO sightings in Oklahoma and the hotdog consumption habits of the Nathan's Hot Dog Eating Competition champion. As we embark on this statistical soiree, we do so with a spirit of inquiry and perhaps a dash of mustard, determined to shed light on a curious correlation that may leave us exclaiming, "Eureka! We have finally uncovered the 'relish' between the two!"
In conducting this investigation, we are not only traversing the intersection of UFOlogy and gastroenterology but also seeking to broaden our understanding of the sometimes unexpected connections that exist in the world around us. Our research endeavors to bring to light a correlation that may leave both skeptics and enthusiasts exclaiming, "It's not just a 'fringe' theory, but a statistical anomaly worth investigating!"
In the following sections of this paper, we will present our methodological approach, the results of our analysis, and the implications of our findings. Join us on this journey through statistical space and culinary time as we uncover the surprising relationship between Unidentified Feasting Objects and the champion of the Nathan's Hot Dog Eating Competition. Because when it comes to statistical analysis, just like hotdogs, sometimes the truth is stranger than fiction.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the data collected from the National UFO Reporting Center and Wikipedia has revealed a notable relationship between UFO sightings in Oklahoma and the consumption of hotdogs by the Nathan's Hot Dog Eating Competition champion. The Pearson correlation coefficient for this peculiar pair was found to be 0.8476851, indicating a strong positive correlation. This suggests that as the number of UFO sightings in Oklahoma increased, so did the number of hotdogs consumed by the competition champion. It seems that, much like UFO conspiracy theories, this correlation is hard to swallow – but nonetheless, it's statistically significant.

The coefficient of determination (r-squared) was computed to be 0.7185700, signifying that approximately 71.857% of the variability in hotdog consumption can be explained by the variability in UFO sightings. This suggests that there are other factors at play, which we must acknowledge, such as the champion's training regimen or a sudden craving for intergalactic cuisine.

The p-value obtained from the analysis was less than 0.01, further supporting the strength of the correlation. This indicates that the observed relationship between UFO sightings in Oklahoma and hotdog consumption is unlikely to be a chance finding. It seems that in the grand scheme of statistical significance, this correlation is truly out of this world – or at least out of Oklahoma.

One might even say this correlation is "extra-terrestrial!"

(Fig. 1), a scatterplot representation, illustrates the remarkable correlation between UFO sightings and hotdog consumption. The scatterplot depicts a clear, positively sloped relationship, underscoring the connection between these two seemingly unrelated variables. It's as if the UFO sightings are acting as the bun to the hotdog consumption, "wrapping" this correlation up nicely.

Overall, our findings highlight a compelling association between the sightings of unidentified aerial phenomena in the Sooner State and the champion's hotdog intake. This unusual correlation invites us to contemplate the cosmic forces at play and ponder the idea that perhaps aliens are not only interested in observing our planet but also in observing competitive eaters. The implications of this unexpected correlation extend beyond statistical analysis and may prompt further interdisciplinary investigations into the mysterious interplay between celestial sightings and earthly cuisine. This correlation certainly leaves us with food for thought, or shall we say, "galactic fodder."


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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?"

[[LITERATURE REVIEW]]
Smith et al. (2015) examined the potential link between UFO sightings and unusual dietary habits, though their study focused primarily on alien cuisine preferences rather than terrestrial consumables. Similarly, Doe and Jones (2018) investigated the extraterrestrial implications of interstellar food delivery, overlooking the earthly context of competitive eating championships. While these studies contribute to the broader discourse on otherworldly gastronomy, they fail to address the specific correlation between UFO sightings in Oklahoma and the unparalleled consumption of hotdogs by the champion of Nathan's Hot Dog Eating Competition.
Steering our investigation towards more terrestrial matters, we turn to "The UFO Phenomenon: Fact, Fantasy and Disinformation" by John Michael Greer, wherein the author explores various aspects of UFO sightings and their cultural significance. Meanwhile, in "Hog Dogs and Corn Dogs: An Anthology," the writers offer a collection of stories where hotdogs and county fairs are central themes, but alas, no mention of extraterrestrial encounters. The absence of direct evidence in these works emphasizes the novelty and obscurity of our undertaking, prompting a proverbial sigh and a relatable dad joke: "Why do hotdogs never tell secrets? Because they always get roasted!"
Venturing further into uncharted literary territories, we find ourselves perusing "The Hitchhiker's Guide to the Galaxy" by Douglas Adams. While not explicitly focused on UFO sightings or hotdogs, the whimsical narrative highlights the interconnectedness of seemingly unrelated phenomena in the cosmos, much like our present investigation. Similarly, the works of H.G. Wells and Jules Verne provide captivating accounts of extraterrestrial encounters and culinary adventures, albeit not in the context of competitive eating championships or Oklahoma sightings. As we reflect on these literary excursions, we cannot help but wonder, "What do you call a hotdog in space? An 'astro-naughty!'"
In an unexpected turn of scholarly pursuit, the researchers turned to cartoons and children's shows for inspiration, citing the venerable "Scooby-Doo" series for its portrayal of inexplicable mysteries and questionable hotdog consumption by the titular character. While the comedic nature of the show may not directly align with rigorous academic inquiry, the parallels drawn between unexplained phenomena and unexpected gastronomic correlations offer an amusing parallel to our own investigation – a punny reminder that "Scooby snacks and hotdogs have more in common than meets the 'bun'!"
While this literature review may seem to have taken a somewhat, shall we say, "unconventional" route, it serves to underscore the unique and unexplored nature of our research into the relationship between UFO sightings in Oklahoma and the consumption of hotdogs. As we delve into the statistical analysis and unveiling of our findings, we aim to shed light on this surprising correlation, all the while acknowledging the unexpected humor that permeates this cosmic-hotdog conundrum. Because, in the words of a wise dad, "Why don't hotdogs make good detectives? They always 'ketchup' on the evidence too late!"

[[RESULTS]]
The statistical analysis of the data collected from the National UFO Reporting Center and Wikipedia has revealed a notable relationship between UFO sightings in Oklahoma and the consumption of hotdogs by the Nathan's Hot Dog Eating Competition champion. The Pearson correlation coefficient for this peculiar pair was found to be 0.8476851, indicating a strong positive correlation. This suggests that as the number of UFO sightings in Oklahoma increased, so did the number of hotdogs consumed by the competition champion. It seems that, much like UFO conspiracy theories, this correlation is hard to swallow – but nonetheless, it's statistically significant.
The coefficient of determination (r-squared) was computed to be 0.7185700, signifying that approximately 71.857% of the variability in hotdog consumption can be explained by the variability in UFO sightings. This suggests that there are other factors at play, which we must acknowledge, such as the champion's training regimen or a sudden craving for intergalactic cuisine.
The p-value obtained from the analysis was less than 0.01, further supporting the strength of the correlation. This indicates that the observed relationship between UFO sightings in Oklahoma and hotdog consumption is unlikely to be a chance finding. It seems that in the grand scheme of statistical significance, this correlation is truly out of this world – or at least out of Oklahoma.
One might even say this correlation is "extra-terrestrial!"
(Fig. 1), a scatterplot representation, illustrates the remarkable correlation between UFO sightings and hotdog consumption. The scatterplot depicts a clear, positively sloped relationship, underscoring the connection between these two seemingly unrelated variables. It's as if the UFO sightings are acting as the bun to the hotdog consumption, "wrapping" this correlation up nicely.
Overall, our findings highlight a compelling association between the sightings of unidentified aerial phenomena in the Sooner State and the champion's hotdog intake. This unusual correlation invites us to contemplate the cosmic forces at play and ponder the idea that perhaps aliens are not only interested in observing our planet but also in observing competitive eaters. The implications of this unexpected correlation extend beyond statistical analysis and may prompt further interdisciplinary investigations into the mysterious interplay between celestial sightings and earthly cuisine. This correlation certainly leaves us with food for thought, or shall we say, "galactic fodder."

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study provide compelling evidence for the existence of a significant correlation between UFO sightings in Oklahoma and the consumption of hotdogs by the Nathan's Hot Dog Eating Competition champion. While on the surface, the relationship between these two variables may seem as improbable as finding a UFO-shaped hotdog in one's lunch, our statistical analysis has, indeed, demonstrated their intriguing connection.

Our findings echo earlier research on the unexplained tendencies of alien visitors. Smith et al. (2015) and Doe and Jones (2018) delved into the peculiar dietary preferences of extraterrestrial beings, laying the groundwork for our study. Much like scrutinizing the ingredients of a mysterious UFO-shaped hotdog, their work opened the door to exploring the cosmic-hotdog connection seriously. Seemingly far-fetched connections turned into 'relish' discoveries! It's clear that these prior explorations contribute to the holistic understanding of our present findings, much like how mustard completes a hotdog.

The remarkable Pearson correlation coefficient of 0.8476851 in our study aligns with the sense of interconnectedness and cosmic humor espoused by literary works such as "The Hitchhiker's Guide to the Galaxy" and the whimsical narratives of H.G. Wells and Jules Verne. Just like finding a UFO-shaped hotdog in the cosmos, our data highlights the unexpected alignment of UFO sightings and hotdog consumption. This correlation serves as a cosmic reminder that sometimes, truth is indeed stranger than fiction, much like a well-timed dad joke during a research symposium.

The significant p-value of less than 0.01 humorously suggests that this correlation is, indeed, "extra-terrestrial," highlighting the statistical robustness of our findings. It's as if the statistical analysis reaches out through the galaxy, affirming the otherworldly connection between UFO sightings and the consumption of hotdogs.

Considering the broadened interpretation of our study, one might ponder if perhaps aliens have an astute interest in competitive eating championships. This notion, while undeniably whimsical, prompts a reevaluation of the cosmic phenomena as more than just a series of unrelated events. It's as if the UFO sightings are acting as the 'bun' to the hotdog consumption, "wrapping" this correlation up nicely and prompting the provocative question: are UFOs trying to 'saucer' the limelight from the humble hotdog?


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 Oklahoma and Hotdogs consumed by Nathan's Hot Dog Eating Competition Champion. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion

[[ABSTRACT]]
In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?"

[[INTRDUCTION]]
"Are UFOs trying to 'saucer' the limelight from the humble hotdog?" This seemingly whimsical question has been the subject of much speculation and curiosity for years, prompting us to embark on an investigation that is sure to add some flavor to the world of statistical analysis. Our research seeks to unravel the enigmatic connection between UFO sightings in Oklahoma and the consumption of hotdogs by the renowned champion of Nathan's Hot Dog Eating Competition. As we embark on this cosmic quest, we cannot help but remember the wise words of a famous physicist: "Time is an illusion, lunchtime doubly so." Though in this case, we may find that the illusion is not time, but a tantalizing link between extraterrestrial visitations and the indulgence in processed meat products.
The notion of UFO sightings and hotdog consumption may initially appear to be as unrelated as ketchup and ice cream, but as we delve deeper into the data, a tantalizing correlation emerges, leaving us with one undeniable truth: the universe is full of surprises, much like finding a good hotdog pun at a science conference - they are both unexpected and appreciated.
Initially, one might be inclined to think that UFO sightings and hotdog consumption are merely chance occurrences, akin to finding a pickle in the bun of statistical anomalies. However, our preliminary exploration into this peculiar pairing has led us to contemplate the possibility of an underlying relationship between these two seemingly disparate phenomena. This prompts us to echo the sentiments of many UFO enthusiasts and food aficionados alike, who often find themselves pondering the age-old question: "What do you get when you cross a UFO with a hotdog? Unidentified Flavored Object!"
To embark on this cosmic hotdog odyssey, we turn to the National UFO Reporting Center, a treasure trove of otherworldly encounters, and Wikipedia, a repository of competitive eating triumphs. These sources provide us with the necessary data to conduct a rigorous analysis that aims to uncover any patterns or linkages between UFO sightings in Oklahoma and the hotdog consumption habits of the Nathan's Hot Dog Eating Competition champion. As we embark on this statistical soiree, we do so with a spirit of inquiry and perhaps a dash of mustard, determined to shed light on a curious correlation that may leave us exclaiming, "Eureka! We have finally uncovered the 'relish' between the two!"
In conducting this investigation, we are not only traversing the intersection of UFOlogy and gastroenterology but also seeking to broaden our understanding of the sometimes unexpected connections that exist in the world around us. Our research endeavors to bring to light a correlation that may leave both skeptics and enthusiasts exclaiming, "It's not just a 'fringe' theory, but a statistical anomaly worth investigating!"
In the following sections of this paper, we will present our methodological approach, the results of our analysis, and the implications of our findings. Join us on this journey through statistical space and culinary time as we uncover the surprising relationship between Unidentified Feasting Objects and the champion of the Nathan's Hot Dog Eating Competition. Because when it comes to statistical analysis, just like hotdogs, sometimes the truth is stranger than fiction.

[[RESULTS]]
The statistical analysis of the data collected from the National UFO Reporting Center and Wikipedia has revealed a notable relationship between UFO sightings in Oklahoma and the consumption of hotdogs by the Nathan's Hot Dog Eating Competition champion. The Pearson correlation coefficient for this peculiar pair was found to be 0.8476851, indicating a strong positive correlation. This suggests that as the number of UFO sightings in Oklahoma increased, so did the number of hotdogs consumed by the competition champion. It seems that, much like UFO conspiracy theories, this correlation is hard to swallow – but nonetheless, it's statistically significant.
The coefficient of determination (r-squared) was computed to be 0.7185700, signifying that approximately 71.857% of the variability in hotdog consumption can be explained by the variability in UFO sightings. This suggests that there are other factors at play, which we must acknowledge, such as the champion's training regimen or a sudden craving for intergalactic cuisine.
The p-value obtained from the analysis was less than 0.01, further supporting the strength of the correlation. This indicates that the observed relationship between UFO sightings in Oklahoma and hotdog consumption is unlikely to be a chance finding. It seems that in the grand scheme of statistical significance, this correlation is truly out of this world – or at least out of Oklahoma.
One might even say this correlation is "extra-terrestrial!"
(Fig. 1), a scatterplot representation, illustrates the remarkable correlation between UFO sightings and hotdog consumption. The scatterplot depicts a clear, positively sloped relationship, underscoring the connection between these two seemingly unrelated variables. It's as if the UFO sightings are acting as the bun to the hotdog consumption, "wrapping" this correlation up nicely.
Overall, our findings highlight a compelling association between the sightings of unidentified aerial phenomena in the Sooner State and the champion's hotdog intake. This unusual correlation invites us to contemplate the cosmic forces at play and ponder the idea that perhaps aliens are not only interested in observing our planet but also in observing competitive eaters. The implications of this unexpected correlation extend beyond statistical analysis and may prompt further interdisciplinary investigations into the mysterious interplay between celestial sightings and earthly cuisine. This correlation certainly leaves us with food for thought, or shall we say, "galactic fodder."

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the correlation between UFO sightings in Oklahoma and the consumption of hotdogs by the notable champion of Nathan's Hot Dog Eating Competition has provided compelling evidence of a substantial relationship. The statistically significant correlation coefficient of 0.8476851 and a p-value of less than 0.01 leave little room for skepticism, much like the feeling one gets when encountering an unexpected pickle in their hotdog – it's hard to ignore!

This eccentric correlation has not only piqued our interest but also offered a fresh perspective on the cosmic and culinary realms. It seems that, much like a UFO sighting, this correlation is indeed "out of this world" and adds a dash of extraterrestrial mystery to the world of competitive eating. One could even say that it's a case of "stellar appetite."

Our exploration underscores the need for continued interdisciplinary research into the intersection of celestial phenomena and earthly endeavors. However, as much as we delight in unravelling these peculiar pairings, we must acknowledge that perhaps this cosmic hotdog odyssey has reached its zenith – for now.

In the spirit of statistical inquiry and intergalactic puns, we assert that no further research is needed in this area. As the great astronomer Galileo once quipped, "And yet it ticks!" – but in this case, our findings are not just an amusing cosmic coincidence, but a statistically valid and robust association between UFO sightings in Oklahoma and the hotdog consumption by the Nathan's Hot Dog Eating Competition champion. It appears that this statistical space odyssey has reached its statistical orbit, leaving us with a cosmic joke and insight into the curious jests of statistical analysis.


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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma 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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion. Respond only with the name of a fictional organization.

ChatGPT:

Institute for Extraterrestrial Gastronomy Research


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 Feasting Objects: The Correlation Between UFO Sightings in Oklahoma and Hotdogs Consumed by Nathan's Hot Dog Eating Competition Champion with an abstract of In this paper, we delve into the curious connection between UFO sightings in Oklahoma and the consumption of hotdogs by the illustrious champion of Nathan's Hot Dog Eating Competition. Utilizing data from the National UFO Reporting Center and Wikipedia, we set out to uncover whether there is a statistical relationship between these seemingly unrelated phenomena. Our findings reveal a remarkable correlation coefficient of 0.8476851 and a significance level of p < 0.01 for the years 1979 to 2021. As we wade through the data, we present evidence that might make one exclaim, "It's not rocket science, it's UFOlogy and gastroenterology!" Our analysis offers a fresh perspective on the cosmic-hotdog connection, shedding light on a peculiar facet of the paranormal and competitive eating realms. We invite readers to relish this study and ponder the profound question, "Are UFOs trying to 'saucer' the limelight from the humble hotdog?

ChatGPT:

UFO sightings Oklahoma, Nathan's Hot Dog Eating Competition, correlation, statistical relationship, paranormal, competitive eating, cosmic connection, National UFO Reporting Center, hotdog consumption, Nathan's Hot Dog Eating Contest champion, UFOlogy, gastroenterology.

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

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 = 0.8476851 (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 = 0.7185700 (Coefficient of determination)
This means 71.9% 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 Oklahoma) over the 43 years from 1979 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 7.5E-13. 0.0000000000007462489886666612
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

But I am a p-villain. I absolutely did not test only one pair of variables one time. I correlated hundreds of millions of pairs of variables. I threw boatloads of data into an industrial-sized blender to find this correlation.

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.85 in 7.5E-11% of random cases. Said differently, if you correlated 1,340,035,316,881 random variables You don't actually need 1 trillion 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.

[ 0.73, 0.92 ] 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 Oklahoma (UFO sightings)1561102347641131787162234512746334134395437345191809070454839658625
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([1,5,6,1,1,0,2,3,4,7,6,4,1,1,3,1,7,8,7,16,22,34,51,27,46,33,41,34,39,54,37,34,51,91,80,90,70,45,48,39,65,86,25,])
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 Oklahoma"
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 may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

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

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Correlation ID: 1628 · Black Variable ID: 1177 · Red Variable ID: 500
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