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Spurious correlation #2,878 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Hydopower energy generated in Thailand and the second variable is Number of Las Vegas Hotel Room Check-Ins.  The chart goes from 1980 to 2013, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The surge in hydropower energy in Thailand led to a corresponding surge in positive energy frequencies. This inadvertently enhanced the overall gambling experience in Las Vegas, attracting more people to check into hotel rooms and try their luck in the casinos. It's like a water-based, energy-infused good luck charm making its way to the Sin City!

Model: dalle-3
Prompt: ![An image that looks like it is a scene from 'Star Wars'](https://d2ph5fj80uercy.cloudfront.net/x3tAg_sUHoQUwHIGuA8sEe-584336?w=400) Please refer to the DALL·E-3 model to generate the image depicting the given scene. The generated image should reflect the contrast between the serene nature of the Thai river and the vibrant energy of Las Vegas, resembling a futuristic world evocative of 'Star Wars'. The imagery should convey the juxtaposition of natural beauty and technological advancement, while capturing the essence of positive and uplifting atmospheres in both locations. 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: Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: Sci-fi fantacy An image that looks like it is a scene from 'Star Wars' Surrealism Art nouveau Cutsy art illustration
ChatGPT: An image that looks like it is a scene from 'Star Wars'

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins, in the following situation: The increase in hydropower energy in Thailand caused a surge in positive vibes, leading to an influx of people wanting to spread the good energy through hotel room check-ins in Las Vegas, baby!. Keep the description simple.
ChatGPT: In Thailand, a mighty river flows through lush green hills, where a massive hydroelectric dam harnesses its power. The water rushes over the dam, producing clean and sustainable energy, creating a positive and uplifting atmosphere. Meanwhile, in Las Vegas, the iconic strip is bustling with activity as people eagerly check into the glitzy hotel rooms, exuding excitement and spreading good vibes.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ An image that looks like it is a scene from 'Star Wars' ] and depicting this scene: In Thailand, a mighty river flows through lush green hills, where a massive hydroelectric dam harnesses its power. The water rushes over the dam, producing clean and sustainable energy, creating a positive and uplifting atmosphere. Meanwhile, in Las Vegas, the iconic strip is bustling with activity as people eagerly check into the glitzy hotel rooms, exuding excitement and spreading good vibes. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: ![An image that looks like it is a scene from 'Star Wars'](https://d2ph5fj80uercy.cloudfront.net/x3tAg_sUHoQUwHIGuA8sEe-584336?w=400) Please refer to the DALL·E-3 model to generate the image depicting the given scene. The generated image should reflect the contrast between the serene nature of the Thai river and the vibrant energy of Las Vegas, resembling a futuristic world evocative of 'Star Wars'. The imagery should convey the juxtaposition of natural beauty and technological advancement, while capturing the essence of positive and uplifting atmospheres in both locations.

*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 Hydopower energy generated in Thailand caused Number of Las Vegas Hotel Room Check-Ins to increase.

AI academic paper

(Because p < 0.01)
Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins

The International Journal of Hydrological Humor

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 Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Make lots of jokes, goofy observations, and puns.

Make the title a clever pun.

Your research team used data from Energy Information Administration and Las Vegas CONVENTION AND VISITORS AUTHORITY to assess this nagging question. You found a correlation coefficient of 0.7490644 and p < 0.01 for 1980 to 2013.

Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
"Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins"

[[ABSTRACT]]
In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.

Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.

This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.


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 Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Make lots of jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
"Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins"

[[ABSTRACT]]
In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.

Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.

This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The field of energy economics is often a serious and somber subject, dealing with complex equations and weighty policy decisions. However, what if we told you that amidst the dry and technical data, there lurked a watery and whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins? Yes, you read that right! It seems that the hydrological feats of Thailand might actually be making waves in the vibrant, neon-lit world of Sin City.

As researchers, it is our duty to delve into the depths of data and emerge with findings that not only inform but also entertain. In this hydro-larious endeavor, we set out to uncover whether there exists a correlation between the ebb and flow of hydropower energy in Thailand and the influx of guests making a splash in their Las Vegas hotel accommodations. Our approach, to say the least, encountered currents of surprise and amusement.

We begin this watery voyage by acknowledging the seemingly improbable nature of this inquiry. After all, what could the rivers of Thailand possibly have to do with the flash and dazzle of Las Vegas? The answer, as we discovered, is quite electrifying indeed.

So, grab your umbrellas and let's embark on this hydro-powered escapade as we navigate the currents of statistical analysis and unearth the unexpected ripples that tie together the world of hydropower energy and the glittering allure of Las Vegas.


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 Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Make lots of jokes, goofy observations, and puns.

Speak in the present tense for this section (the authors find...), as is common in academic research paper literature reviews. Name the sources in a format similar to this: In "Book," the authors find lorem and ipsum.

Make up the lorem and ipsum part, but make it sound related to the topic at hand.

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
"Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins"

[[ABSTRACT]]
In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.

Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.

This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The field of energy economics is often a serious and somber subject, dealing with complex equations and weighty policy decisions. However, what if we told you that amidst the dry and technical data, there lurked a watery and whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins? Yes, you read that right! It seems that the hydrological feats of Thailand might actually be making waves in the vibrant, neon-lit world of Sin City.
As researchers, it is our duty to delve into the depths of data and emerge with findings that not only inform but also entertain. In this hydro-larious endeavor, we set out to uncover whether there exists a correlation between the ebb and flow of hydropower energy in Thailand and the influx of guests making a splash in their Las Vegas hotel accommodations. Our approach, to say the least, encountered currents of surprise and amusement.
We begin this watery voyage by acknowledging the seemingly improbable nature of this inquiry. After all, what could the rivers of Thailand possibly have to do with the flash and dazzle of Las Vegas? The answer, as we discovered, is quite electrifying indeed.
So, grab your umbrellas and let's embark on this hydro-powered escapade as we navigate the currents of statistical analysis and unearth the unexpected ripples that tie together the world of hydropower energy and the glittering allure of Las Vegas.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In “Energy Dynamics and Tourism Trends” by Smith, the authors find various factors influencing tourism trends, including economic conditions, exchange rates, and travel restrictions. However, the authors failed to mention the potential impact of hydropower energy generated in Thailand on the number of Las Vegas hotel room check-ins. Let us dive into a more aqueous world in search of an answer to this hydrological enigma.

In their work, "Hydropower and its Implications in Southeast Asia" Doe et al. eloquently expound upon the intricate nuances of hydropower generation in the region. However, amidst the sophisticated hydrological discussions, there lies an unexplored link to the bustling hotel industry of Las Vegas, a connection waiting to be unveiled like a hidden treasure beneath the surface.

Jones et al., in "Dynamic Energy Flows and Tourism Phenomena," examined the dynamic nature of energy flows and their impact on tourism phenomena. Though they shed light on various energy sources, such as solar and wind power, they omitted the aquatic aspect of hydropower and its potential impact on the magnetism of Las Vegas, a veritable Mecca for travelers seeking thrills and spills.

Turning to non-fiction books, “Water: The Element of Surprises” by H. Aqua provides an insightful exploration of the unexpected ways in which water influences the world around us, setting the stage for the surprising link between Thailand's hydropower energy and check-ins at Las Vegas hotels. Additionally, “The Big Bet on Blue: The Story of Hydropower in Southeast Asia” by R. Ripple offers a comprehensive account of the hydrological landscape in the region, perhaps hinting at the hidden currents that tie Thailand's hydropower energy to the city of dazzling lights and slot machines.

On the fictional front, "The Fountainhead" by Ayn Rand and "A River Runs Through It" by Norman Maclean, though not directly related to our subject matter, offer a metaphorical glimpse into the fluid dynamics at play in human endeavors, sparking analogies to the unexpectedly rippling effects of hydropower energy on the entertainment mecca of Las Vegas.

In the world of board games, "Power Grid" may not directly explore hydropower dynamics in Thailand or the hospitality industry of Las Vegas, but it tantalizingly weaves a tapestry of interconnectedness and strategic decision-making, much like the unforeseen web we seek to unravel between distant hydropower currents and bustling hotel check-ins.

As we forge ahead on our aquatic odyssey, it becomes evident that the current literature has left a watery gap to be filled in uncovering the hydro-larious connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins.


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 Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Make lots of jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and Las Vegas CONVENTION AND VISITORS AUTHORITY . You used data from 1980 to 2013

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
"Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins"

[[ABSTRACT]]
In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.

Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.

This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.

[[INTRODUCTION]]
The field of energy economics is often a serious and somber subject, dealing with complex equations and weighty policy decisions. However, what if we told you that amidst the dry and technical data, there lurked a watery and whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins? Yes, you read that right! It seems that the hydrological feats of Thailand might actually be making waves in the vibrant, neon-lit world of Sin City.
As researchers, it is our duty to delve into the depths of data and emerge with findings that not only inform but also entertain. In this hydro-larious endeavor, we set out to uncover whether there exists a correlation between the ebb and flow of hydropower energy in Thailand and the influx of guests making a splash in their Las Vegas hotel accommodations. Our approach, to say the least, encountered currents of surprise and amusement.
We begin this watery voyage by acknowledging the seemingly improbable nature of this inquiry. After all, what could the rivers of Thailand possibly have to do with the flash and dazzle of Las Vegas? The answer, as we discovered, is quite electrifying indeed.
So, grab your umbrellas and let's embark on this hydro-powered escapade as we navigate the currents of statistical analysis and unearth the unexpected ripples that tie together the world of hydropower energy and the glittering allure of Las Vegas.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To uncover the watery connection between hydropower energy in Thailand and the number of hotel room check-ins in Las Vegas, we undertook a methodological voyage that was both rigorous and whimsical. Our approach blended statistical analysis with a dash of humor, much like googly eyes on a watermelon.

Firstly, we amassed data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, navigating the often choppy waters of the internet to collect information from 1980 to 2013. We then cast our net wide, capturing annual data on hydropower energy production in Thailand and the number of hotel room check-ins in Las Vegas. This process involved surfing through spreadsheets, weathering data storms, and avoiding the siren call of distraction in the form of cat videos.

Utilizing statistical software, we performed a series of analyses akin to conducting a magic trick with probability distributions. We employed correlation analysis to test the strength and statistical significance of the relationship between hydropower energy and hotel room check-ins, making sure to tie our findings with a bow of confidence intervals.

In addition, we dusted off our trusty regression analysis toolkit to delve into the depths of causation. By fitting models like a tailor crafting a bespoke suit, we examined how changes in hydropower energy production may influence the swell of visitors flocking to Las Vegas hotels.

Our journey also included an exploration of alternative techniques, such as time series analysis, to navigate the ebb and flow of these seemingly disparate variables. Think of it as conducting a symphony orchestra, but with data points instead of musicians.

Finally, we conducted sensitivity analyses to ensure the robustness of our findings, akin to testing whether a rubber duck floats in a variety of bathtubs. This involved scrutinizing the results from different analytical angles, stirring the statistical pot to see if any unexpected bubbles of insight would surface.

In summary, our methodology was a buoyant mix of data collection, statistical analysis, and a sprinkling of whimsy, much like a refreshing cocktail served in a watermelon-shaped glass. Through this approach, we aimed to unravel the hydro-larious mystery linking the hydroelectric energy of Thailand with the twinkling allure of Las Vegas.


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 Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Make lots of jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and Las Vegas CONVENTION AND VISITORS AUTHORITY .

For the time period 1980 to 2013, you found a correlation 0.7490644, r-squared of 0.5610975, 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]]
"Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins"

[[ABSTRACT]]
In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.

Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.

This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The field of energy economics is often a serious and somber subject, dealing with complex equations and weighty policy decisions. However, what if we told you that amidst the dry and technical data, there lurked a watery and whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins? Yes, you read that right! It seems that the hydrological feats of Thailand might actually be making waves in the vibrant, neon-lit world of Sin City.
As researchers, it is our duty to delve into the depths of data and emerge with findings that not only inform but also entertain. In this hydro-larious endeavor, we set out to uncover whether there exists a correlation between the ebb and flow of hydropower energy in Thailand and the influx of guests making a splash in their Las Vegas hotel accommodations. Our approach, to say the least, encountered currents of surprise and amusement.
We begin this watery voyage by acknowledging the seemingly improbable nature of this inquiry. After all, what could the rivers of Thailand possibly have to do with the flash and dazzle of Las Vegas? The answer, as we discovered, is quite electrifying indeed.
So, grab your umbrellas and let's embark on this hydro-powered escapade as we navigate the currents of statistical analysis and unearth the unexpected ripples that tie together the world of hydropower energy and the glittering allure of Las Vegas.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins from 1980 to 2013 yielded some truly electrifying findings. We discovered a remarkably high correlation coefficient of 0.7490644, indicating a strong positive relationship between these seemingly disparate variables. This coefficient was accompanied by an r-squared value of 0.5610975, highlighting that approximately 56.1% of the variation in hotel room check-ins could be explained by the variation in hydropower energy generated in Thailand. Additionally, the p-value of less than 0.01 provides robust evidence of the significance of this correlation.

The results of our analysis uncover an intriguing connection between the flow of hydropower energy in Thailand and the surge of guests gracing the iconic hotels of Las Vegas. It appears that the watery watts in Thailand are not only fueling electrical power but also making a splash in the world of tourism and hospitality.

Furthermore, to visually depict the observed relationship, we present Fig. 1, a scatterplot that vividly illustrates the strong correlation between the hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. This graphical representation underscores the compelling nature of this hydro-larious connection and serves as a quirky reminder that even the most unexpected pairings can hold significant statistical weight.

The findings of this study not only shed light on the surprising interplay between hydropower energy and tourism in two distinct locations but also add a touch of whimsy to the realm of energy economics and travel trends. This aquatic alliance between Thailand's hydropower and the bustling hotel scene of Las Vegas encourages further exploration and sparks curiosity about the unseen currents shaping our world.


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 Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Make lots of jokes, goofy observations, and puns.

Limit your response to 500 tokens.

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

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

[[TITLE]]
"Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins"

[[ABSTRACT]]
In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.

Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.

This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.

[[LITERATURE REVIEW]]
In “Energy Dynamics and Tourism Trends” by Smith, the authors find various factors influencing tourism trends, including economic conditions, exchange rates, and travel restrictions. However, the authors failed to mention the potential impact of hydropower energy generated in Thailand on the number of Las Vegas hotel room check-ins. Let us dive into a more aqueous world in search of an answer to this hydrological enigma.
In their work, "Hydropower and its Implications in Southeast Asia" Doe et al. eloquently expound upon the intricate nuances of hydropower generation in the region. However, amidst the sophisticated hydrological discussions, there lies an unexplored link to the bustling hotel industry of Las Vegas, a connection waiting to be unveiled like a hidden treasure beneath the surface.
Jones et al., in "Dynamic Energy Flows and Tourism Phenomena," examined the dynamic nature of energy flows and their impact on tourism phenomena. Though they shed light on various energy sources, such as solar and wind power, they omitted the aquatic aspect of hydropower and its potential impact on the magnetism of Las Vegas, a veritable Mecca for travelers seeking thrills and spills.
Turning to non-fiction books, “Water: The Element of Surprises” by H. Aqua provides an insightful exploration of the unexpected ways in which water influences the world around us, setting the stage for the surprising link between Thailand's hydropower energy and check-ins at Las Vegas hotels. Additionally, “The Big Bet on Blue: The Story of Hydropower in Southeast Asia” by R. Ripple offers a comprehensive account of the hydrological landscape in the region, perhaps hinting at the hidden currents that tie Thailand's hydropower energy to the city of dazzling lights and slot machines.
On the fictional front, "The Fountainhead" by Ayn Rand and "A River Runs Through It" by Norman Maclean, though not directly related to our subject matter, offer a metaphorical glimpse into the fluid dynamics at play in human endeavors, sparking analogies to the unexpectedly rippling effects of hydropower energy on the entertainment mecca of Las Vegas.
In the world of board games, "Power Grid" may not directly explore hydropower dynamics in Thailand or the hospitality industry of Las Vegas, but it tantalizingly weaves a tapestry of interconnectedness and strategic decision-making, much like the unforeseen web we seek to unravel between distant hydropower currents and bustling hotel check-ins.
As we forge ahead on our aquatic odyssey, it becomes evident that the current literature has left a watery gap to be filled in uncovering the hydro-larious connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins.

[[RESULTS]]
The statistical analysis of the connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins from 1980 to 2013 yielded some truly electrifying findings. We discovered a remarkably high correlation coefficient of 0.7490644, indicating a strong positive relationship between these seemingly disparate variables. This coefficient was accompanied by an r-squared value of 0.5610975, highlighting that approximately 56.1% of the variation in hotel room check-ins could be explained by the variation in hydropower energy generated in Thailand. Additionally, the p-value of less than 0.01 provides robust evidence of the significance of this correlation.
The results of our analysis uncover an intriguing connection between the flow of hydropower energy in Thailand and the surge of guests gracing the iconic hotels of Las Vegas. It appears that the watery watts in Thailand are not only fueling electrical power but also making a splash in the world of tourism and hospitality.
Furthermore, to visually depict the observed relationship, we present Fig. 1, a scatterplot that vividly illustrates the strong correlation between the hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. This graphical representation underscores the compelling nature of this hydro-larious connection and serves as a quirky reminder that even the most unexpected pairings can hold significant statistical weight.
The findings of this study not only shed light on the surprising interplay between hydropower energy and tourism in two distinct locations but also add a touch of whimsy to the realm of energy economics and travel trends. This aquatic alliance between Thailand's hydropower and the bustling hotel scene of Las Vegas encourages further exploration and sparks curiosity about the unseen currents shaping our world.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The hydropower energy and the number of Las Vegas hotel room check-ins may seem like an odd couple, but our findings indicate a surprisingly strong connection between these seemingly unrelated variables. This hydro-larious alliance between the watery watts of Thailand and the neon lights of Sin City sparks a series of intriguing inquiries and splashtastic implications.

Our results not only align with the existing literature on energy dynamics and tourism trends but also add an aquatically amusing twist to the narrative. In particular, the work of Smith, Doe et al., and Jones et al. laid the groundwork for our exploration, highlighting the uncharted waters of hydropower's influence on tourist phenomena. Our findings not only validate the quirky assertions made in these studies but also elevate the discussion to a new level of hydrological hilarity.

The correlation coefficient of 0.7490644 and the r-squared value of 0.5610975 substantiate the significance of the relationship between hydropower energy in Thailand and hotel room check-ins in Las Vegas. This statistical buoyancy offers compelling evidence to support the notion that water is not just a source of energy but also a silent influencer of travel behavior.

Fig. 1, our scatterplot, visually encapsulates the buoyant connection between these variables and serves as a whimsical reminder that even the most unexpected correlations can hold weight in the statistical realm. The jocular juxtaposition of hydropower data and hotel occupancy figures portrays a narrative of aquatic energy currents seamlessly transcending geographical boundaries to make waves in the tourism landscape.

This study, albeit lighthearted in its premise, unveils an untapped reservoir of potential within the domain of energy economics and travel trends. The watery watts in Thailand serve as a testament to the unforeseen currents that shape our world, emphasizing the rippling effects of one nation's energy dynamics on the hospitality industry of another. As we continue to navigate these aquatically amusing findings, we invite fellow researchers to plunge into the depths of this unlikely correlation and discover the hydro-larious surprises 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 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 Hydopower energy generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Make lots of jokes, goofy observations, and puns.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
"Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins"

[[ABSTRACT]]
In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.

Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.

This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.

[[INTRDUCTION]]
The field of energy economics is often a serious and somber subject, dealing with complex equations and weighty policy decisions. However, what if we told you that amidst the dry and technical data, there lurked a watery and whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins? Yes, you read that right! It seems that the hydrological feats of Thailand might actually be making waves in the vibrant, neon-lit world of Sin City.
As researchers, it is our duty to delve into the depths of data and emerge with findings that not only inform but also entertain. In this hydro-larious endeavor, we set out to uncover whether there exists a correlation between the ebb and flow of hydropower energy in Thailand and the influx of guests making a splash in their Las Vegas hotel accommodations. Our approach, to say the least, encountered currents of surprise and amusement.
We begin this watery voyage by acknowledging the seemingly improbable nature of this inquiry. After all, what could the rivers of Thailand possibly have to do with the flash and dazzle of Las Vegas? The answer, as we discovered, is quite electrifying indeed.
So, grab your umbrellas and let's embark on this hydro-powered escapade as we navigate the currents of statistical analysis and unearth the unexpected ripples that tie together the world of hydropower energy and the glittering allure of Las Vegas.

[[RESULTS]]
The statistical analysis of the connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins from 1980 to 2013 yielded some truly electrifying findings. We discovered a remarkably high correlation coefficient of 0.7490644, indicating a strong positive relationship between these seemingly disparate variables. This coefficient was accompanied by an r-squared value of 0.5610975, highlighting that approximately 56.1% of the variation in hotel room check-ins could be explained by the variation in hydropower energy generated in Thailand. Additionally, the p-value of less than 0.01 provides robust evidence of the significance of this correlation.
The results of our analysis uncover an intriguing connection between the flow of hydropower energy in Thailand and the surge of guests gracing the iconic hotels of Las Vegas. It appears that the watery watts in Thailand are not only fueling electrical power but also making a splash in the world of tourism and hospitality.
Furthermore, to visually depict the observed relationship, we present Fig. 1, a scatterplot that vividly illustrates the strong correlation between the hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. This graphical representation underscores the compelling nature of this hydro-larious connection and serves as a quirky reminder that even the most unexpected pairings can hold significant statistical weight.
The findings of this study not only shed light on the surprising interplay between hydropower energy and tourism in two distinct locations but also add a touch of whimsy to the realm of energy economics and travel trends. This aquatic alliance between Thailand's hydropower and the bustling hotel scene of Las Vegas encourages further exploration and sparks curiosity about the unseen currents shaping our world.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the watery watts from the rivers of Thailand seem to be doing more than just powering the lights of Bangkok; they're also illuminating the path for tourists rushing into the glamour of Las Vegas! Our findings have unveiled a connection so unexpected, it might just make you do a double take – or in this case, a double splash.

The correlation coefficient of 0.7490644 revealed by our analysis suggests a relationship between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins that's stronger than a strong current. With an r-squared value of 0.5610975, it seems that over half of the variation in hotel check-ins can be traced back to the watery whims of Thailand's energy production. It's as if the energetic flow from the Thai rivers is riding a tsunami straight into the heart of Sin City's hospitality industry!

Our quirky scatterplot, Fig. 1, not only illustrates this bizarro connection – it practically splashes it in your face. Who would have thought that the journey from a hydroelectric dam to a Vegas hotel bed could be so electrifyingly straightforward? It's almost as if the rivers of Thailand are whispering, "Hey, can you spare a watt?" to the neon lights of the Strip.

While the correlation we've found might seem as out of place as a fish out of water, it paves the way for a new era of hydro-powered tourism analysis. It's time to flood the world of energy economics with a fresh wave of unconventional thinking – just when you thought you'd seen it all, along comes the shocking union of hydropower and hotel check-ins!

In keeping with the spirit of this hydro-larious investigation, it seems safe to say that no more research is needed in this area – we've already ridden this wave to its electrifying conclusion!


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 Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Respond only with the name of a fictional academic journal.

ChatGPT:

The International Journal of Hydrological Humor


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 Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Transcontinental Energy 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 Watery Watts in Sin City: The Hydro-larious Connection Between Hydropower Energy Generated in Thailand and Number of Las Vegas Hotel Room Check-Ins with an abstract of In this hydro-larious study, we embark on a journey to explore the unexpected and seemingly whimsical connection between hydropower energy generated in Thailand and the number of Las Vegas hotel room check-ins. Combining data from the Energy Information Administration and the Las Vegas CONVENTION AND VISITORS AUTHORITY, we dug deep to uncover any watery watts at play in the city of neon lights.
Our statistical analysis revealed a surprising correlation coefficient of 0.7490644, with a p-value less than 0.01 for the time span from 1980 to 2013. The findings suggest a compelling relationship between the ebb and flow of hydropower energy in Thailand and the pulsing influx of guests checking into Las Vegas hotels.
This unexpected connection adds another layer of intrigue to the world of energy dynamics and tourism trends. We invite readers to join us in navigating these watery watts and uncovering the splashtastic implications of this unlikely correlation.

ChatGPT:

hydropower energy, Thailand, Las Vegas hotel bookings, correlation between energy and tourism, Energy Information Administration, Las Vegas CONVENTION AND VISITORS AUTHORITY, energy dynamics, tourism trends, hydropower correlation, Thailand energy generation, Las Vegas hotel occupancy

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



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Data details

Hydopower energy generated in Thailand
Detailed data title: Total hydopower energy generated in Thailand in billion kWh
Source: Energy Information Administration
See what else correlates with Hydopower energy generated in Thailand

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

Correlation r = 0.7490644 (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 = 0.5610975 (Coefficient of determination)
This means 56.1% of the change in the one variable (i.e., Number of Las Vegas Hotel Room Check-Ins) is predictable based on the change in the other (i.e., Hydopower energy generated in Thailand) over the 34 years from 1980 through 2013.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.5E-7. 0.0000003466095166394805000000
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 0.75 in 3.5E-5% of random cases. Said differently, if you correlated 2,885,091 random variables You don't actually need 2 million 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 33 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 33 because we have two variables measured over a period of 34 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.

[ 0.55, 0.87 ] 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.
1980198119821983198419851986198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013
Hydopower energy generated in Thailand (Billion kWh)1.262.9433.7973.6224.0393.6545.4964.0333.745.5154.9264.5414.1973.6634.4696.6467.2687.1285.1253.55.891446.174357.366947.207765.896295.671187.950057.961366.950696.965745.346757.934928.431225.41208
Number of Las Vegas Hotel Room Check-Ins (Rooms)4581549614502705252954129530675649458494613946739173730768797652386053885609004699072105347109365120294124270126610126787130482131503133186132605132947140529148941148935150161150481150593




Why this works

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




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([1.26,2.943,3.797,3.622,4.039,3.654,5.496,4.033,3.74,5.515,4.926,4.541,4.197,3.663,4.469,6.646,7.268,7.128,5.125,3.5,5.89144,6.17435,7.36694,7.20776,5.89629,5.67118,7.95005,7.96136,6.95069,6.96574,5.34675,7.93492,8.43122,5.41208,])
array_2 = np.array([45815,49614,50270,52529,54129,53067,56494,58494,61394,67391,73730,76879,76523,86053,88560,90046,99072,105347,109365,120294,124270,126610,126787,130482,131503,133186,132605,132947,140529,148941,148935,150161,150481,150593,])
array_1_name = "Hydopower energy generated in Thailand"
array_2_name = "Number of Las Vegas Hotel Room Check-Ins"

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

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



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Correlation ID: 2878 · Black Variable ID: 24030 · Red Variable ID: 499
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