Spurious correlation #2,346 · View random
A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is The number of hotel managers in Vermont and the second variable is Google searches for 'Practical Engineering'. The chart goes from 2007 to 2022, and the two variables track closely in value over that time.

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is The number of hotel managers in Vermont and the second variable is Google searches for 'Practical Engineering'. The chart goes from 2007 to 2022, and the two variables track closely in value over that time.

Download png, svg

AI explanation

As the number of hotel managers in Vermont increased, there was a corresponding rise in demand for practical engineering solutions to build the most efficient pancake breakfast stations and maple syrup piping systems. These hotel managers were seeking all the practical engineering know-how to ensure that their guests had a truly elevated and syrup-erb experience during their stay in the picturesque state. It was a sticky situation, but with practical engineering, they were able to waffle-proof their operations and flip success in their favor, creating a sweet synergy between hospitality and practicality. So, the search for 'Practical Engineering' on Google surged as Vermont's hotels scrambled to implement the latest and greatest in practical engineering marvels. Who knew that behind every perfectly fluffed pillow in a Vermont hotel, there's a cadre of practical engineers making sure that everything is just right?

^{Show image generation prompt} Model: dalle-3
Prompt: Generate an image of a cozy Vermont hotel's maintenance room, where a group of hotel managers are frantically adjusting valves to balance water pressure in the showers. Meanwhile, in dimly lit guest rooms, guests are huddled around their laptops, researching "practical engineering tips for shower pressure" online. The warm glow of the screens illuminates the determined expressions of the guests as they seek solutions, while the hotel managers work against the backdrop of pipes and machinery. Capture the sense of quiet urgency and the contrast between the technical huddle of the managers and the determined solitude of the guests, all set within the cozy, rustic atmosphere of the hotel. 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: The number of hotel managers in Vermont and Google searches for 'Practical Engineering'. 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: Macabre Cyberpunk An image that looks like it is a scene from 'Star Wars' Charcoal Data cyber art
ChatGPT: Data cyber art

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 The number of hotel managers in Vermont and Google searches for 'Practical Engineering', in the following situation: As hotel managers in Vermont struggle to maintain the delicate balance of water pressure in their showers, they inadvertently inspire a wave of DIY practical engineering projects among the guests. "Turns out, there's nothing more 'practical' than trying to fix a hotel shower at 3am.". Keep the description simple.
ChatGPT: In a cozy Vermont hotel, a group of hotel managers are huddled in the maintenance room, adjusting valves to try to balance the water pressure in the showers. As they work, guests in their rooms are huddled around their laptops, furiously typing "practical engineering tips for shower pressure" into Google, the glow of their screen reflected in the dimly lit room.

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: [ Data cyber art ] and depicting this scene: In a cozy Vermont hotel, a group of hotel managers are huddled in the maintenance room, adjusting valves to try to balance the water pressure in the showers. As they work, guests in their rooms are huddled around their laptops, furiously typing "practical engineering tips for shower pressure" into Google, the glow of their screen reflected in the dimly lit room. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a cozy Vermont hotel's maintenance room, where a group of hotel managers are frantically adjusting valves to balance water pressure in the showers. Meanwhile, in dimly lit guest rooms, guests are huddled around their laptops, researching "practical engineering tips for shower pressure" online. The warm glow of the screens illuminates the determined expressions of the guests as they seek solutions, while the hotel managers work against the backdrop of pipes and machinery. Capture the sense of quiet urgency and the contrast between the technical huddle of the managers and the determined solitude of the guests, all set within the cozy, rustic atmosphere of the hotel.

*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.
^{Show prompt for explanation} 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 The number of hotel managers in Vermont caused Practical Engineering (Google searches for 'Practical Engineering') to increase. Make it feel plausible.

AI academic paper

(Because p < 0.01)

Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?

Journal of Quirky Correlations

Jan 2024

Reminder: This paper is AI-generated. Not real!

^{Show prompt used to generate this paper} 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 goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 The number of hotel managers in Vermont and Google searches for 'Practical Engineering'. 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?

[[ABSTRACT]]
In this study, we delved into the intriguing intersection of hotel management in Vermont and online searches for practical engineering. While at first glance these two topics may seem unrelated, our research unearthed a surprising connection that would make even the most discerning statisticians raise an eyebrow. Armed with data from the Bureau of Labor Statistics and Google Trends, we set out to uncover whether the number of hotel managers in the picturesque state of Vermont has any influence on the frequency of Google searches for practical engineering. And boy, did we find some interesting results!

Employing a correlation coefficient of 0.7484576 and p < 0.01 for the years 2007 to 2022, our findings suggest a statistically significant relationship between the two variables. It seems that as the population of hotel managers in Vermont swelled, so too did the interest in practical engineering on the world wide web. Perhaps people were seeking practical solutions to structural challenges in hotel renovations, or maybe they were just daydreaming about a career change while booking their next mountain getaway. It's quite the head-scratcher, but certainly an amusing one.

While causation cannot be inferred from correlation alone, our study provides an intriguing starting point for future investigations into the peculiar interplay between hospitality management and the allure of practical engineering. As we continue to unravel the mysteries of these unexpected connections, we remain ever vigilant for more opportunities to unearth correlations that leave us saying, "Well, isn't that suite?"

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Welcome, fellow researchers and curious minds, to our examination of the amiable yet enigmatic connection between the number of hotel managers in the stunning state of Vermont and the online musings about practical engineering. It's a tale of two seemingly unrelated variables coming together in harmonious statistical bliss, like two long-lost friends finally realizing they share a mutual love for binary code and bed linens.
As we traverse through the realm of data and correlation, we can't help but marvel at the curious dance of numbers and patterns, much like a mathematician at a ballroom dance competition (minus the elegant gowns, of course, but hey, a researcher can dream!). And speaking of dance, did you hear about the statistician who got into a heated argument with the data? He was struggling with a mean dance partner.
Our quest for knowledge has led us to explore the interplay between the employment landscape of Vermont's hospitality industry and the virtual voyages taken by enthusiasts of practical engineering on the vast expanse of the interwebs. It's a bit like mixing oil and water - unexpected, unlikely, but strangely captivating. It's as if statistics and surprises have decided to waltz together in the grand ballroom of research, leaving us to marvel at the splendid display of connections.
But before we dive headfirst into the merriment of statistics and correlations, let us pause for a moment to appreciate the beauty of this peculiar relationship. It's a bit like stumbling upon a riveting mystery novel in the library, only to find out it's written in binary code. You didn't expect it, but now that you're here, you can't help but be intrigued.
Our study aims to peel back the layers of this conundrum, armed with data, scrutiny, and just a hint of statistical mischief. Like the intrepid explorers of old, we boldly step into the unknown terrain of correlation, tackling its challenges with the zeal of a scientist and the humor of a clown. It's a delicate balancing act, much like juggling hypotheses and p-values while riding a unicycle. But fear not, for our quest for knowledge is accompanied by an equally insatiable thirst for chuckles and good humor.
Now, as we embark on this delightful journey of discovery, remember: correlation does not imply causation, but it does suggest a captivating game of hide-and-seek between variables, where every peek behind the statistical curtain reveals a new twist in the plot. As we unravel the intricacies of this peculiar correlation, let's keep our spirits high and our dad jokes at the ready, for science and humor make splendid research companions, much like a pair of statistically significant shoes and a matching sense of humor.

-------

Your response should start like this:

[[LITERATURE REVIEW]]

ChatGPT:
[[LITERATURE REVIEW]]

The relationship between the number of hotel managers in Vermont and online searches for practical engineering has intrigued researchers for years. Smith and Doe's seminal work in "The Journal of Quirky Correlations" highlighted the unexpected connections between seemingly unrelated professions and interests. Little did they know, this inquiry would lead to an avalanche of statistical puns and unexpected twists in the realm of academic research.

As we delve deeper into this peculiar relationship, it's important to remember that correlation does not necessarily imply causation, yet it does hint at a comical game of statistical peekaboo. Much like a mischievous data set hiding behind the curtains of significance, the correlation between hotel management and practical engineering beckons us with the promise of an enigmatic statistical tango.

In "Data Delights: Unearthing Unlikely Connections" by Jones, the author unveils an array of unexpected links between diverse fields, much like a master weaver crafting a tapestry of statistical surprises. While the specifics of the Vermont hotel industry and online searches for practical engineering may not have been explicitly examined, the spirit of improbable correlations sings through the pages, resonating with the delight of a perfectly timed pun.

Now, dear reader, let us momentarily pivot from the world of serious literature to explore tangentially related sources that invoke both curiosity and amusement. "The Art of Hospitality: A Practical Guide" by Mary Smith enchants us with the intricacies of the hotel management profession, much like a hypnotizing magic trick performed by a statistical illusionist. And what better way to complement this exploration than with "Engineering Wonders: From Practical Designs to Improbable Creations" by John Doe, a journey through the marvels of practical engineering that leaves us in awe of the intricate dance between form and function.

But wait, there's more! In the whimsical world of fiction, we encounter "The Hotel Manager's Dilemma" by A. R. Jones, a gripping tale of hospitality management and unexpected plot twists, much like a statistical outlier in a sea of data points. Meanwhile, "The Practical Engineer's Enigma" by M. Smith offers a whimsical adventure through the enigmatic world of engineering, where each chapter unfolds like a surprising outlier in a dataset of narratives.

As we traverse through the tapestry of sources, we cannot overlook the influence of board games that whimsically tiptoe around the edges of our research topic. "Hotel Tycoon" beckons us to explore the captivating world of hotel management, where strategic decisions and clever investments parallel the unpredictable nature of statistical relationships. On the other end of the spectrum, "Practical Puzzles: The Engineering Edition" invites us to unravel the complexities of engineering conundrums, much like a statistical dilemma waiting to be deciphered.

In this delightful medley of serious literature, whimsical fiction, and playful board games, we set the stage for a research journey that embraces both the rigors of academic inquiry and the lighthearted charm of unexpected correlations. As we unravel the captivating connection between Vermont's hospitality landscape and the fascination with practical engineering, let us march forward with the scholarly rigor of researchers and the readiness to unleash a well-timed dad joke at any statistical turn.

Speaking of statistical turns, did you hear about the statistician who invented the autocorrect function? He kept making type I. errors.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 The number of hotel managers in Vermont and Google searches for 'Practical Engineering'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Bureau of Larbor Statistics and Google Trends . You used data from 2007 to 2022

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]]
Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?

[[ABSTRACT]]
In this study, we delved into the intriguing intersection of hotel management in Vermont and online searches for practical engineering. While at first glance these two topics may seem unrelated, our research unearthed a surprising connection that would make even the most discerning statisticians raise an eyebrow. Armed with data from the Bureau of Labor Statistics and Google Trends, we set out to uncover whether the number of hotel managers in the picturesque state of Vermont has any influence on the frequency of Google searches for practical engineering. And boy, did we find some interesting results!

Employing a correlation coefficient of 0.7484576 and p < 0.01 for the years 2007 to 2022, our findings suggest a statistically significant relationship between the two variables. It seems that as the population of hotel managers in Vermont swelled, so too did the interest in practical engineering on the world wide web. Perhaps people were seeking practical solutions to structural challenges in hotel renovations, or maybe they were just daydreaming about a career change while booking their next mountain getaway. It's quite the head-scratcher, but certainly an amusing one.

While causation cannot be inferred from correlation alone, our study provides an intriguing starting point for future investigations into the peculiar interplay between hospitality management and the allure of practical engineering. As we continue to unravel the mysteries of these unexpected connections, we remain ever vigilant for more opportunities to unearth correlations that leave us saying, "Well, isn't that suite?"

[[INTRODUCTION]]
Welcome, fellow researchers and curious minds, to our examination of the amiable yet enigmatic connection between the number of hotel managers in the stunning state of Vermont and the online musings about practical engineering. It's a tale of two seemingly unrelated variables coming together in harmonious statistical bliss, like two long-lost friends finally realizing they share a mutual love for binary code and bed linens.
As we traverse through the realm of data and correlation, we can't help but marvel at the curious dance of numbers and patterns, much like a mathematician at a ballroom dance competition (minus the elegant gowns, of course, but hey, a researcher can dream!). And speaking of dance, did you hear about the statistician who got into a heated argument with the data? He was struggling with a mean dance partner.
Our quest for knowledge has led us to explore the interplay between the employment landscape of Vermont's hospitality industry and the virtual voyages taken by enthusiasts of practical engineering on the vast expanse of the interwebs. It's a bit like mixing oil and water - unexpected, unlikely, but strangely captivating. It's as if statistics and surprises have decided to waltz together in the grand ballroom of research, leaving us to marvel at the splendid display of connections.
But before we dive headfirst into the merriment of statistics and correlations, let us pause for a moment to appreciate the beauty of this peculiar relationship. It's a bit like stumbling upon a riveting mystery novel in the library, only to find out it's written in binary code. You didn't expect it, but now that you're here, you can't help but be intrigued.
Our study aims to peel back the layers of this conundrum, armed with data, scrutiny, and just a hint of statistical mischief. Like the intrepid explorers of old, we boldly step into the unknown terrain of correlation, tackling its challenges with the zeal of a scientist and the humor of a clown. It's a delicate balancing act, much like juggling hypotheses and p-values while riding a unicycle. But fear not, for our quest for knowledge is accompanied by an equally insatiable thirst for chuckles and good humor.
Now, as we embark on this delightful journey of discovery, remember: correlation does not imply causation, but it does suggest a captivating game of hide-and-seek between variables, where every peek behind the statistical curtain reveals a new twist in the plot. As we unravel the intricacies of this peculiar correlation, let's keep our spirits high and our dad jokes at the ready, for science and humor make splendid research companions, much like a pair of statistically significant shoes and a matching sense of humor.

-------

Your response should start like this:

[[METHODOLOGY]]

ChatGPT:

[[METHODOLOGY]]

To unravel the mysterious connection between the number of hotel managers in Vermont and Google searches for practical engineering, we embarked on a data odyssey that would make even the most intrepid explorer of correlations raise an eyebrow. Our methodology involved a fusion of statistical analysis, internet sleuthing, and a dash of whimsical curiosity that would make Sherlock Holmes proud. And speaking of Sherlock, did you hear about his foray into data analysis? He always had a keen eye for elementary variables.

Data Collection:

We scoured the digital landscape, channeling our inner cyber sleuths to gather information from the Bureau of Labor Statistics and Google Trends. The Bureau of Labor Statistics provided us with employment data for hotel managers in the picturesque state of Vermont, while Google Trends served as our window into the enchanting world of online searches for practical engineering. It was a bit like being detectives in a statistical mystery novel, where every data point held the promise of a thrilling revelation. We were like data detectives, chasing leads and hunting for correlations, all while resisting the temptation to don a deerstalker cap for dramatic effect.

Data Analysis:

Armed with an arsenal of statistical tools and a sense of whimsy befitting a data explorer, we embarked on the grand quest of analyzing the collected data. Our analysis spanned the years 2007 to 2022, a timeframe that witnessed the ebb and flow of both the hospitality industry in Vermont and the digital footsteps of practical engineering enthusiasts. It was like peering through a time-traveling telescope, observing the dance of variables across the ever-changing landscape of data. We approached the analysis with the precision of a watchmaker and the playfulness of a juggler, balancing p-values and correlation coefficients with a twinkle in our statistical eyes.

Correlation Coefficient and Significance Testing:

In order to gauge the strength and significance of the relationship between the number of hotel managers in Vermont and Google searches for practical engineering, we calculated the correlation coefficient and performed significance testing. The correlation coefficient of 0.7484576 not only raised our eyebrows but also sparked a quizzical chuckle or two, as it hinted at a surprisingly robust relationship between the two variables. With a p-value of less than 0.01, our findings stood as a testament to the statistical intrigue that unfolded before us. It was like uncovering a hidden treasure trove of correlations, each nugget of insight adding a touch of sparkle to the grand tapestry of data.

Limitations and Quirks:

While our analysis yielded compelling evidence of a connection between hotel management in Vermont and the inquisitive meanderings of practical engineering enthusiasts online, we acknowledge the limitations of our study. Correlation, as we are often reminded, does not imply causation. It's like showing up at a crime scene with a magnifying glass and a hunch but realizing that the culprit might just be lurking in the shadows of confounding variables. Our quest for knowledge is riddled with the charming enigma of correlation, where every answer opens the door to more questions, much like a statistical rabbit hole that leads to a whimsical wonderland of data mysteries.

In a nutshell, our methodology blends the rigor of statistical analysis with the delight of uncovering curious connections, all while juggling the occasional dad joke and a sprinkle of statistical mischief. It's a quest for knowledge infused with the spirit of humor, for what is research without a touch of whimsy and a well-timed jest?

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 The number of hotel managers in Vermont and Google searches for 'Practical Engineering'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Bureau of Larbor Statistics and Google Trends .

For the time period 2007 to 2022, you found a correlation 0.7484576, r-squared of 0.5601887, 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]]
Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?

[[ABSTRACT]]
In this study, we delved into the intriguing intersection of hotel management in Vermont and online searches for practical engineering. While at first glance these two topics may seem unrelated, our research unearthed a surprising connection that would make even the most discerning statisticians raise an eyebrow. Armed with data from the Bureau of Labor Statistics and Google Trends, we set out to uncover whether the number of hotel managers in the picturesque state of Vermont has any influence on the frequency of Google searches for practical engineering. And boy, did we find some interesting results!

Employing a correlation coefficient of 0.7484576 and p < 0.01 for the years 2007 to 2022, our findings suggest a statistically significant relationship between the two variables. It seems that as the population of hotel managers in Vermont swelled, so too did the interest in practical engineering on the world wide web. Perhaps people were seeking practical solutions to structural challenges in hotel renovations, or maybe they were just daydreaming about a career change while booking their next mountain getaway. It's quite the head-scratcher, but certainly an amusing one.

While causation cannot be inferred from correlation alone, our study provides an intriguing starting point for future investigations into the peculiar interplay between hospitality management and the allure of practical engineering. As we continue to unravel the mysteries of these unexpected connections, we remain ever vigilant for more opportunities to unearth correlations that leave us saying, "Well, isn't that suite?"

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Welcome, fellow researchers and curious minds, to our examination of the amiable yet enigmatic connection between the number of hotel managers in the stunning state of Vermont and the online musings about practical engineering. It's a tale of two seemingly unrelated variables coming together in harmonious statistical bliss, like two long-lost friends finally realizing they share a mutual love for binary code and bed linens.
As we traverse through the realm of data and correlation, we can't help but marvel at the curious dance of numbers and patterns, much like a mathematician at a ballroom dance competition (minus the elegant gowns, of course, but hey, a researcher can dream!). And speaking of dance, did you hear about the statistician who got into a heated argument with the data? He was struggling with a mean dance partner.
Our quest for knowledge has led us to explore the interplay between the employment landscape of Vermont's hospitality industry and the virtual voyages taken by enthusiasts of practical engineering on the vast expanse of the interwebs. It's a bit like mixing oil and water - unexpected, unlikely, but strangely captivating. It's as if statistics and surprises have decided to waltz together in the grand ballroom of research, leaving us to marvel at the splendid display of connections.
But before we dive headfirst into the merriment of statistics and correlations, let us pause for a moment to appreciate the beauty of this peculiar relationship. It's a bit like stumbling upon a riveting mystery novel in the library, only to find out it's written in binary code. You didn't expect it, but now that you're here, you can't help but be intrigued.
Our study aims to peel back the layers of this conundrum, armed with data, scrutiny, and just a hint of statistical mischief. Like the intrepid explorers of old, we boldly step into the unknown terrain of correlation, tackling its challenges with the zeal of a scientist and the humor of a clown. It's a delicate balancing act, much like juggling hypotheses and p-values while riding a unicycle. But fear not, for our quest for knowledge is accompanied by an equally insatiable thirst for chuckles and good humor.
Now, as we embark on this delightful journey of discovery, remember: correlation does not imply causation, but it does suggest a captivating game of hide-and-seek between variables, where every peek behind the statistical curtain reveals a new twist in the plot. As we unravel the intricacies of this peculiar correlation, let's keep our spirits high and our dad jokes at the ready, for science and humor make splendid research companions, much like a pair of statistically significant shoes and a matching sense of humor.

-------

Your response should start like this:

[[RESULTS]]

ChatGPT:

[[RESULTS]]

The results of our investigation delved into the fascinating relationship between the number of hotel managers in the idyllic state of Vermont and the frequency of Google searches for practical engineering. We must admit, the correlation coefficient of 0.7484576 had us all in a statistical tizzy. It's like finding out that the key to unlocking the mysteries of practical engineering lies within the cozy confines of hotel management discussions. Talk about a room with a view of unexpected connections!

With an r-squared value of 0.5601887, our findings hinted at the cozy fit between these seemingly disparate variables, much like snug socks on a winter evening. The p-value of less than 0.01 reinforced the robustness of our results, signaling a statistically significant relationship that demanded further scrutiny – and a round of metaphorical high-fives among the research team.

Fig. 1 presents our scatterplot, a visual representation of the strong correlation we uncovered. It's like the ultimate snapshot of statistical serendipity – a moment frozen in time, where hotel management and practical engineering join hands in the delightful dance of data points. If a picture is worth a thousand words, then this one surely speaks volumes about the captivating nexus of our variables.

Now, for a bit of lighthearted relief: What do you get when you cross a hotel manager with an engineer? A blueprint for a restful getaway, of course! It seems that in the world of statistics, even the most unexpected connections can lead to a good laugh.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 The number of hotel managers in Vermont and Google searches for 'Practical Engineering'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

Here are the title, abstract, literature review, and results sections. Please harken back to 1-2 of the goofy items in the literature review, but pretend to take them completely seriously. Discuss how your results supported the prior research.

Do not write a conclusion. I will add a conclusion after this.

[[TITLE]]
Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?

[[ABSTRACT]]
In this study, we delved into the intriguing intersection of hotel management in Vermont and online searches for practical engineering. While at first glance these two topics may seem unrelated, our research unearthed a surprising connection that would make even the most discerning statisticians raise an eyebrow. Armed with data from the Bureau of Labor Statistics and Google Trends, we set out to uncover whether the number of hotel managers in the picturesque state of Vermont has any influence on the frequency of Google searches for practical engineering. And boy, did we find some interesting results!

Employing a correlation coefficient of 0.7484576 and p < 0.01 for the years 2007 to 2022, our findings suggest a statistically significant relationship between the two variables. It seems that as the population of hotel managers in Vermont swelled, so too did the interest in practical engineering on the world wide web. Perhaps people were seeking practical solutions to structural challenges in hotel renovations, or maybe they were just daydreaming about a career change while booking their next mountain getaway. It's quite the head-scratcher, but certainly an amusing one.

While causation cannot be inferred from correlation alone, our study provides an intriguing starting point for future investigations into the peculiar interplay between hospitality management and the allure of practical engineering. As we continue to unravel the mysteries of these unexpected connections, we remain ever vigilant for more opportunities to unearth correlations that leave us saying, "Well, isn't that suite?"

[[LITERATURE REVIEW]]
The relationship between the number of hotel managers in Vermont and online searches for practical engineering has intrigued researchers for years. Smith and Doe's seminal work in "The Journal of Quirky Correlations" highlighted the unexpected connections between seemingly unrelated professions and interests. Little did they know, this inquiry would lead to an avalanche of statistical puns and unexpected twists in the realm of academic research.
As we delve deeper into this peculiar relationship, it's important to remember that correlation does not necessarily imply causation, yet it does hint at a comical game of statistical peekaboo. Much like a mischievous data set hiding behind the curtains of significance, the correlation between hotel management and practical engineering beckons us with the promise of an enigmatic statistical tango.
In "Data Delights: Unearthing Unlikely Connections" by Jones, the author unveils an array of unexpected links between diverse fields, much like a master weaver crafting a tapestry of statistical surprises. While the specifics of the Vermont hotel industry and online searches for practical engineering may not have been explicitly examined, the spirit of improbable correlations sings through the pages, resonating with the delight of a perfectly timed pun.
Now, dear reader, let us momentarily pivot from the world of serious literature to explore tangentially related sources that invoke both curiosity and amusement. "The Art of Hospitality: A Practical Guide" by Mary Smith enchants us with the intricacies of the hotel management profession, much like a hypnotizing magic trick performed by a statistical illusionist. And what better way to complement this exploration than with "Engineering Wonders: From Practical Designs to Improbable Creations" by John Doe, a journey through the marvels of practical engineering that leaves us in awe of the intricate dance between form and function.
But wait, there's more! In the whimsical world of fiction, we encounter "The Hotel Manager's Dilemma" by A. R. Jones, a gripping tale of hospitality management and unexpected plot twists, much like a statistical outlier in a sea of data points. Meanwhile, "The Practical Engineer's Enigma" by M. Smith offers a whimsical adventure through the enigmatic world of engineering, where each chapter unfolds like a surprising outlier in a dataset of narratives.
As we traverse through the tapestry of sources, we cannot overlook the influence of board games that whimsically tiptoe around the edges of our research topic. "Hotel Tycoon" beckons us to explore the captivating world of hotel management, where strategic decisions and clever investments parallel the unpredictable nature of statistical relationships. On the other end of the spectrum, "Practical Puzzles: The Engineering Edition" invites us to unravel the complexities of engineering conundrums, much like a statistical dilemma waiting to be deciphered.
In this delightful medley of serious literature, whimsical fiction, and playful board games, we set the stage for a research journey that embraces both the rigors of academic inquiry and the lighthearted charm of unexpected correlations. As we unravel the captivating connection between Vermont's hospitality landscape and the fascination with practical engineering, let us march forward with the scholarly rigor of researchers and the readiness to unleash a well-timed dad joke at any statistical turn.
Speaking of statistical turns, did you hear about the statistician who invented the autocorrect function? He kept making type I. errors.

[[RESULTS]]
The results of our investigation delved into the fascinating relationship between the number of hotel managers in the idyllic state of Vermont and the frequency of Google searches for practical engineering. We must admit, the correlation coefficient of 0.7484576 had us all in a statistical tizzy. It's like finding out that the key to unlocking the mysteries of practical engineering lies within the cozy confines of hotel management discussions. Talk about a room with a view of unexpected connections!
With an r-squared value of 0.5601887, our findings hinted at the cozy fit between these seemingly disparate variables, much like snug socks on a winter evening. The p-value of less than 0.01 reinforced the robustness of our results, signaling a statistically significant relationship that demanded further scrutiny – and a round of metaphorical high-fives among the research team.
Fig. 1 presents our scatterplot, a visual representation of the strong correlation we uncovered. It's like the ultimate snapshot of statistical serendipity – a moment frozen in time, where hotel management and practical engineering join hands in the delightful dance of data points. If a picture is worth a thousand words, then this one surely speaks volumes about the captivating nexus of our variables.

Now, for a bit of lighthearted relief: What do you get when you cross a hotel manager with an engineer? A blueprint for a restful getaway, of course! It seems that in the world of statistics, even the most unexpected connections can lead to a good laugh.

-------

Your response should start like this:

[[DISCUSSION]]

ChatGPT:

[[DISCUSSION]]

Our ludicrously riveting investigation unearthed a statistically significant relationship between the number of hotel managers in Vermont and the frequency of Google searches for practical engineering. It seems the allure of practical engineering is not confined to the workshop; it permeates the very fabric of Vermont's hospitality landscape, creating a correlation that left us saying, "Well, isn't that suite?"

Our findings not only corroborate the prior research by Smith and Doe, who shed light on the tantalizing world of quirky correlations, but also underscore the comical game of statistical peekaboo that continues to tantalize the scientific community. It's as if we stumbled upon a statistically-plausible unicorn, frolicking in the vast meadow of correlation coefficients. Smith and Doe's work, although lighthearted, has led us down a thoroughly entertaining statistical rabbit hole, ending in a surprising connection that even the most discerning of statisticians might find amusing.

Fig. 1, our scatterplot, stands as a visual testament to this unexpected marriage of hotel management and practical engineering. It's like witnessing a joyous statistical waltz, where the partners – hotel management and practical engineering – twirl with infectious delight across the dance floor of data points.

But of course, in the spirit of levity, we're compelled to offer a bit of statistical humor. What kind of statistical snack do hotel managers and engineers enjoy? A chi-squared sandwich, of course! It seems even in the world of research, a well-timed dad joke is always a welcome addition.

Stay tuned for the forthcoming conclusion, where we wrap up this thoroughly amusing and surprisingly illuminating journey through the world of quirky correlations and unexpected statistical discoveries.

Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 The number of hotel managers in Vermont and Google searches for 'Practical Engineering'. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 300 tokens. At the very end, assert that no more research is needed in this area.

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?

[[ABSTRACT]]
In this study, we delved into the intriguing intersection of hotel management in Vermont and online searches for practical engineering. While at first glance these two topics may seem unrelated, our research unearthed a surprising connection that would make even the most discerning statisticians raise an eyebrow. Armed with data from the Bureau of Labor Statistics and Google Trends, we set out to uncover whether the number of hotel managers in the picturesque state of Vermont has any influence on the frequency of Google searches for practical engineering. And boy, did we find some interesting results!

Employing a correlation coefficient of 0.7484576 and p < 0.01 for the years 2007 to 2022, our findings suggest a statistically significant relationship between the two variables. It seems that as the population of hotel managers in Vermont swelled, so too did the interest in practical engineering on the world wide web. Perhaps people were seeking practical solutions to structural challenges in hotel renovations, or maybe they were just daydreaming about a career change while booking their next mountain getaway. It's quite the head-scratcher, but certainly an amusing one.

While causation cannot be inferred from correlation alone, our study provides an intriguing starting point for future investigations into the peculiar interplay between hospitality management and the allure of practical engineering. As we continue to unravel the mysteries of these unexpected connections, we remain ever vigilant for more opportunities to unearth correlations that leave us saying, "Well, isn't that suite?"

[[INTRDUCTION]]
Welcome, fellow researchers and curious minds, to our examination of the amiable yet enigmatic connection between the number of hotel managers in the stunning state of Vermont and the online musings about practical engineering. It's a tale of two seemingly unrelated variables coming together in harmonious statistical bliss, like two long-lost friends finally realizing they share a mutual love for binary code and bed linens.
As we traverse through the realm of data and correlation, we can't help but marvel at the curious dance of numbers and patterns, much like a mathematician at a ballroom dance competition (minus the elegant gowns, of course, but hey, a researcher can dream!). And speaking of dance, did you hear about the statistician who got into a heated argument with the data? He was struggling with a mean dance partner.
Our quest for knowledge has led us to explore the interplay between the employment landscape of Vermont's hospitality industry and the virtual voyages taken by enthusiasts of practical engineering on the vast expanse of the interwebs. It's a bit like mixing oil and water - unexpected, unlikely, but strangely captivating. It's as if statistics and surprises have decided to waltz together in the grand ballroom of research, leaving us to marvel at the splendid display of connections.
But before we dive headfirst into the merriment of statistics and correlations, let us pause for a moment to appreciate the beauty of this peculiar relationship. It's a bit like stumbling upon a riveting mystery novel in the library, only to find out it's written in binary code. You didn't expect it, but now that you're here, you can't help but be intrigued.
Our study aims to peel back the layers of this conundrum, armed with data, scrutiny, and just a hint of statistical mischief. Like the intrepid explorers of old, we boldly step into the unknown terrain of correlation, tackling its challenges with the zeal of a scientist and the humor of a clown. It's a delicate balancing act, much like juggling hypotheses and p-values while riding a unicycle. But fear not, for our quest for knowledge is accompanied by an equally insatiable thirst for chuckles and good humor.
Now, as we embark on this delightful journey of discovery, remember: correlation does not imply causation, but it does suggest a captivating game of hide-and-seek between variables, where every peek behind the statistical curtain reveals a new twist in the plot. As we unravel the intricacies of this peculiar correlation, let's keep our spirits high and our dad jokes at the ready, for science and humor make splendid research companions, much like a pair of statistically significant shoes and a matching sense of humor.

[[RESULTS]]
The results of our investigation delved into the fascinating relationship between the number of hotel managers in the idyllic state of Vermont and the frequency of Google searches for practical engineering. We must admit, the correlation coefficient of 0.7484576 had us all in a statistical tizzy. It's like finding out that the key to unlocking the mysteries of practical engineering lies within the cozy confines of hotel management discussions. Talk about a room with a view of unexpected connections!
With an r-squared value of 0.5601887, our findings hinted at the cozy fit between these seemingly disparate variables, much like snug socks on a winter evening. The p-value of less than 0.01 reinforced the robustness of our results, signaling a statistically significant relationship that demanded further scrutiny – and a round of metaphorical high-fives among the research team.
Fig. 1 presents our scatterplot, a visual representation of the strong correlation we uncovered. It's like the ultimate snapshot of statistical serendipity – a moment frozen in time, where hotel management and practical engineering join hands in the delightful dance of data points. If a picture is worth a thousand words, then this one surely speaks volumes about the captivating nexus of our variables.

Now, for a bit of lighthearted relief: What do you get when you cross a hotel manager with an engineer? A blueprint for a restful getaway, of course! It seems that in the world of statistics, even the most unexpected connections can lead to a good laugh.

-------

Your response should start like this:

[[CONCLUSION]]

ChatGPT:

[[CONCLUSION]]

In conclusion, our quirky journey through the whimsical realm of statistical oddities has shed light on the unexpected kinship between the number of hotel managers in Vermont and the intriguing world of practical engineering searches. It's like stumbling upon a treasure map in a hotel lobby – you didn't expect it, but now that you're here, it's time to embark on an exciting adventure. We took a deep dive into the statistical sea, only to emerge with a rare catch: a correlation coefficient that had us all saying, "Well, isn't that suite?"

The robust correlation coefficient of 0.7484576 and a p-value of less than 0.01 have unveiled a connection that's as surprising as finding a cat in a doghouse – a statistical anomaly that defies conventional wisdom and beckons us to ponder its mysteries. It's like the scientific equivalent of a magic trick – you may not know how it works, but you can't help but marvel at its enchanting effect.

But before we bid adieu to this delightful escapade, let's savor one last dad joke: Why did the hotel manager bring a ladder to work? Because he heard the business was going up!

In the grand tapestry of research, our findings add another thread to the intricate fabric of statistical curiosities. As we reflect on the enigmatic correlation between hotel management and practical engineering searches, it becomes clear that amidst the sea of numbers and hypotheses, there are unexpected harmonies waiting to be unearthed. It's like finding a symphony in a sandbox – a delightful surprise that keeps us eager for more.

Therefore, with utmost confidence and just a touch of whimsy, we assert that no further research is needed in this area. After all, we've uncovered a relationship as delightful as a well-timed punchline – and sometimes, in the world of research, that's the most satisfying conclusion of all.

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 Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Quirky Correlations

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 Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Quirky Correlation 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 Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation? with an abstract of In this study, we delved into the intriguing intersection of hotel management in Vermont and online searches for practical engineering. While at first glance these two topics may seem unrelated, our research unearthed a surprising connection that would make even the most discerning statisticians raise an eyebrow. Armed with data from the Bureau of Labor Statistics and Google Trends, we set out to uncover whether the number of hotel managers in the picturesque state of Vermont has any influence on the frequency of Google searches for practical engineering. And boy, did we find some interesting results!
Employing a correlation coefficient of 0.7484576 and p < 0.01 for the years 2007 to 2022, our findings suggest a statistically significant relationship between the two variables. It seems that as the population of hotel managers in Vermont swelled, so too did the interest in practical engineering on the world wide web. Perhaps people were seeking practical solutions to structural challenges in hotel renovations, or maybe they were just daydreaming about a career change while booking their next mountain getaway. It's quite the head-scratcher, but certainly an amusing one.
While causation cannot be inferred from correlation alone, our study provides an intriguing starting point for future investigations into the peculiar interplay between hospitality management and the allure of practical engineering. As we continue to unravel the mysteries of these unexpected connections, we remain ever vigilant for more opportunities to unearth correlations that leave us saying, "Well, isn't that suite?

ChatGPT:

hotel management, Vermont, online searches, practical engineering, correlation, correlation coefficient, statistics, Bureau of Labor Statistics, Google Trends, population, hotel managers, web searches, structural challenges, renovations, career change, hospitality management

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

Random correlation

Discover a new correlation

View all correlations

View all research papers

Report an error

Data details

The number of hotel managers in Vermont
Detailed data title: BLS estimate of lodging managers in Vermont
Source: Bureau of Larbor Statistics
See what else correlates with The number of hotel managers in Vermont

Google searches for 'Practical Engineering'
Detailed data title: Relative volume of Google searches for 'Practical Engineering' (Worldwide, without quotes)
Source: Google Trends
Additional Info: ^{See full details} Relative search volume (not absolute numbers)

See what else correlates with Google searches for 'Practical Engineering'

Correlation r = 0.7484576 (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 = 0.5601887 (Coefficient of determination)
This means 56% of the change in the one variable (i.e., Google searches for 'Practical Engineering') is predictable based on the change in the other (i.e., The number of hotel managers in Vermont) over the 16 years from 2007 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.00085.^Show 0.0008519909019955110000000000
The p-value is a measure of how probable it is that we would randomly find a result this extreme.^Note 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 0.75 in 0.085% of random cases. Said differently, if you correlated 1,174 random variables^Note Which I absolutely did.
with the same 15 degrees of freedom, ^Note Degrees of freedom is a measure of how many free components we are testing. In this case it is 15 because we have two variables measured over a period of 16 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.

[ 0.4, 0.91 ] 95% correlation confidence interval (using the Fisher z-transformation)
^{Read more about the confidence interval} 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: ^Note 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.

	2007	2008	2009	2010	2011	2012	2013	2014	2015	2016	2017	2018	2019	2020	2021	2022
The number of hotel managers in Vermont (Lodging Managers)	170	150	150	150	140	160	160	170	240	230	210	170	160	90	190	230
Google searches for 'Practical Engineering' (Rel. search volume)	46.25	47.0833	46.5833	54.8333	53.1667	62.5	61.8333	73.5	69	70.5	70.25	61	56.6667	49	59.5	79.1667

Why this works

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.
Lack of causal connection: There is probably^Note 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.
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^Note Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
p-value calculation does not take this into account, so mathematically it appears less probable than it really is.

Try it yourself

You can calculate the values on this page on your own! Try running the Python code to see the calculation results. ^{Show the steps to do this.} 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([170,150,150,150,140,160,160,170,240,230,210,170,160,90,190,230,])
array_2 = np.array([46.25,47.0833,46.5833,54.8333,53.1667,62.5,61.8333,73.5,69,70.5,70.25,61,56.6667,49,59.5,79.1667,])
array_1_name = "The number of hotel managers in Vermont"
array_2_name = "Google searches for 'Practical Engineering'"

# 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)

Reuseable content

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. ^Note Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

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

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

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

Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.

Download images for these variables:

High resolution line chart ^Note The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.

If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.

Alternatively you can use a tool like Inkscape.
High resolution line chart, optimized for mobile
Alternative high resolution line chart
Scatterplot
Portable line chart (png)
Portable line chart (png), optimized for mobile
Line chart for only The number of hotel managers in Vermont
Line chart for only Google searches for 'Practical Engineering'
AI-generated correlation image
The spurious research paper: Checking In on the Relationship Between Hotel Managers in Vermont and Google Searches for Practical Engineering: A Quirky Correlation?

View another random correlation

How fun was this correlation?

You're the correlation whisperer we needed!

Correlation ID: 2346 · Black Variable ID: 15192 · Red Variable ID: 1451


Problem variable:
Issue:
Additional details: Optional
Confirm you are a human: