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Spurious correlation #5,213 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Rain in Sydney and the second variable is The number of vending machine repairers in Arizona.  The chart goes from 2003 to 2022, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The rain in Sydney led to an influx of orders for vending machine snacks, causing a ripple effect in the demand for repairers in Arizona as they tried to keep up with the now soggy and malfunctioning vending machines. As the snacks became damp and prone to getting stuck, Arizona saw the need for more repairers to navigate the sea of snack-related issues. It seems like even vending machines can't handle a little moisture without sparking a need for repairs on the other side of the world!

Model: dalle-3
Prompt: Create an image of contrasting scenes: in one, the bustling streets of Sydney shrouded in rain, with people carrying colorful umbrellas and navigating puddles, and in the other, the dry expanse of Arizona with an endless line of vending machines stretching into the distance, all displaying "Out of Order" on their screens as repairers hurry to fix them amidst the desert landscape. Use minimalist style to capture the stark contrast between the two 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: Rain in Sydney and The number of vending machine repairers in Arizona. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: An image that looks like it is a scene from 'Star Wars' Steampunk Cute cartoon Voxel art Minimalism
ChatGPT: Minimalism

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 Rain in Sydney and The number of vending machine repairers in Arizona, in the following situation: The rain in Sydney led to an influx of orders for vending machine snacks, causing a ripple effect in the demand for repairers in Arizona as they tried to keep up with the now soggy and malfunctioning vending machines. As the snacks became damp and prone to getting stuck, Arizona saw the need for more repairers to navigate the sea of snack-related issues. It seems like even vending machines can't handle a little moisture without sparking a need for repairs on the other side of the world!. Keep the description simple.
ChatGPT: In Sydney, rain pours down on the city streets, causing puddles to form and umbrellas to open. Meanwhile, in Arizona, a line of vending machines stretch into the distance, their screens displaying "Out of Order" as repairers hurriedly work to fix the damp and malfunctioning snack dispensers.

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: [ Minimalism ] and depicting this scene: In Sydney, rain pours down on the city streets, causing puddles to form and umbrellas to open. Meanwhile, in Arizona, a line of vending machines stretch into the distance, their screens displaying "Out of Order" as repairers hurriedly work to fix the damp and malfunctioning snack dispensers. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Create an image of contrasting scenes: in one, the bustling streets of Sydney shrouded in rain, with people carrying colorful umbrellas and navigating puddles, and in the other, the dry expanse of Arizona with an endless line of vending machines stretching into the distance, all displaying "Out of Order" on their screens as repairers hurry to fix them amidst the desert landscape. Use minimalist style to capture the stark contrast between the two 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 Rain in Sydney caused The number of vending machine repairers in Arizona to increase.

AI academic paper

(Because p < 0.01)
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

Journal of Unlikely Climatological Consequences

Jan 2024

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




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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Rain in Sydney and The number of vending machine repairers in Arizona. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Make the title seem clever.

Your research team used data from NOAA National Climate Data Center and Bureau of Larbor Statistics to assess this nagging question. You found a correlation coefficient of 0.8352749 and p < 0.01 for 2003 to 2022.

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]]
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

[[ABSTRACT]]
This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the introduction section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the introduction section of an academic research paper presenting the findings of the connection between Rain in Sydney and The number of vending machine repairers in Arizona. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

[[ABSTRACT]]
This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

With a population of over 5 million people, Sydney, Australia, is known for its diverse culture, iconic landmarks, and, of course, sporadic rainfall. Meanwhile, Arizona, with its vast desert landscapes and cactus-lined highways, is home to a thriving vending machine industry. At first glance, one might assume these two locations have little in common, besides both being potential settings for a post-apocalyptic blockbuster. However, this study seeks to unravel the inexplicable enigma linking the precipitation patterns in Sydney to the employment trends in the vending machine repair industry in the sun-soaked state of Arizona.

While many researchers have delved into the impact of weather patterns on various industries, the correlation we present here is as unexpected as finding a winning lottery ticket under a vending machine. It's a revelation that challenges conventional wisdom and prompts a reevaluation of the intricate web of cause and effect. The aim of this paper is not only to elucidate this intriguing relationship but also to demonstrate the potential broader implications for understanding the interconnectedness of seemingly unrelated phenomena.

So, why does the rain in Sydney seemingly have a say in the livelihood of vending machine repairers in Arizona? Well, as the saying goes, "when it rains, it pours," and in this case, it might be pouring quarters, dimes, and the occasional forgotten souvenir from a tourist's pocket. But before we delve into speculations and idiomatic puns about precipitation, let us first examine the distinct characteristics of both locations and the empirical data that led to this unexpected revelation.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft a literature review section of an academic research paper, that starts out dry for the first few sentences but then becomes hilarious and goofy.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a literature review section of an academic research paper presenting the findings of the connection between Rain in Sydney and The number of vending machine repairers in Arizona. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

[[ABSTRACT]]
This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
With a population of over 5 million people, Sydney, Australia, is known for its diverse culture, iconic landmarks, and, of course, sporadic rainfall. Meanwhile, Arizona, with its vast desert landscapes and cactus-lined highways, is home to a thriving vending machine industry. At first glance, one might assume these two locations have little in common, besides both being potential settings for a post-apocalyptic blockbuster. However, this study seeks to unravel the inexplicable enigma linking the precipitation patterns in Sydney to the employment trends in the vending machine repair industry in the sun-soaked state of Arizona.
While many researchers have delved into the impact of weather patterns on various industries, the correlation we present here is as unexpected as finding a winning lottery ticket under a vending machine. It's a revelation that challenges conventional wisdom and prompts a reevaluation of the intricate web of cause and effect. The aim of this paper is not only to elucidate this intriguing relationship but also to demonstrate the potential broader implications for understanding the interconnectedness of seemingly unrelated phenomena.
So, why does the rain in Sydney seemingly have a say in the livelihood of vending machine repairers in Arizona? Well, as the saying goes, "when it rains, it pours," and in this case, it might be pouring quarters, dimes, and the occasional forgotten souvenir from a tourist's pocket. But before we delve into speculations and idiomatic puns about precipitation, let us first examine the distinct characteristics of both locations and the empirical data that led to this unexpected revelation.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Smith et al. (2015) explored the impact of weather patterns on consumer behavior and service industry demand, laying the groundwork for understanding the interplay between atmospheric conditions and economic activities. Similarly, Doe and Jones (2018) investigated the influence of climatic variables on occupational trends, shedding light on the often overlooked role of rain in shaping labor markets. While these studies set the stage for understanding the potential correlation between rainfall and employment, the specific connection between Sydney's precipitation and the vending machine repair industry in Arizona remained a bewitching puzzle.

In "Weather and Economic Behavior," the authors find a significant relationship between rainfall and consumer spending, but the unexpected impact on vending machine repairs remains unexplored. "The Role of Weather in Employment Trends" reveals the influence of climate on occupational dynamics, yet the curious cross-continental effect observed in this study has not been previously documented.

Turning to non-fiction works that may inform our understanding, "The Weather Makers" by Tim Flannery provides an in-depth exploration of global climate patterns, delving into the intricate mechanisms that govern rainfall in different regions. In "Freakonomics," Steven D. Levitt and Stephen J. Dubner uncover unusual correlations in various aspects of life, perhaps inadvertently preparing readers for the captivating surprise that awaits in this study's findings.

On the more imaginative front, Greg Hrbek's "Not on Fire, but Burning" and Zadie Smith's "White Teeth" delve into the intricacies of human interactions and unforeseen connections, inviting reflection on the myriad ways in which disparate elements come together. While these literary pieces may seem far removed from the realms of economic research, the serendipitous links they explore serve as a poignant parallel to the unexpected correlation between rain in Sydney and the vending machine repair industry in Arizona.

In the realm of internet culture, the popular "It's Raining Men" meme humorously resonates with the theme of precipitation, albeit with a different connotation entirely. This playful nod to rain serves as a lighthearted reminder of the multifaceted interpretations that atmospheric phenomena can inspire.

As we journey through the scholarly landscape and literary realms, it becomes evident that the relationship between rain in Sydney and the vending machine repair industry in Arizona is a enigmatic tapestry woven with unexpected threads. The following sections will reveal the empirical basis and statistical analyses that underpin this curious correlation.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the methodology section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the methodology section of an academic research paper presenting the findings of the connection between Rain in Sydney and The number of vending machine repairers in Arizona. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from NOAA National Climate Data Center and Bureau of Larbor Statistics . You used data from 2003 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]]
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

[[ABSTRACT]]
This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.

[[INTRODUCTION]]
With a population of over 5 million people, Sydney, Australia, is known for its diverse culture, iconic landmarks, and, of course, sporadic rainfall. Meanwhile, Arizona, with its vast desert landscapes and cactus-lined highways, is home to a thriving vending machine industry. At first glance, one might assume these two locations have little in common, besides both being potential settings for a post-apocalyptic blockbuster. However, this study seeks to unravel the inexplicable enigma linking the precipitation patterns in Sydney to the employment trends in the vending machine repair industry in the sun-soaked state of Arizona.
While many researchers have delved into the impact of weather patterns on various industries, the correlation we present here is as unexpected as finding a winning lottery ticket under a vending machine. It's a revelation that challenges conventional wisdom and prompts a reevaluation of the intricate web of cause and effect. The aim of this paper is not only to elucidate this intriguing relationship but also to demonstrate the potential broader implications for understanding the interconnectedness of seemingly unrelated phenomena.
So, why does the rain in Sydney seemingly have a say in the livelihood of vending machine repairers in Arizona? Well, as the saying goes, "when it rains, it pours," and in this case, it might be pouring quarters, dimes, and the occasional forgotten souvenir from a tourist's pocket. But before we delve into speculations and idiomatic puns about precipitation, let us first examine the distinct characteristics of both locations and the empirical data that led to this unexpected revelation.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To untangle the intricate web of causation between rain in Sydney and the demand for vending machine repair services in Arizona, we employed a multifaceted approach integrating meteorological data, labor statistics, and a touch of whimsy. Our methodological journey began with the collection and curation of historical rainfall data from the NOAA National Climate Data Center, which involved deciphering the meteorological records akin to unraveling a cryptic crossword puzzle—only in this case, the answers were drenched in water. These records spanned from 2003 to 2022, capturing the nuances of Sydney's fickle precipitation patterns with exhaustive precision—after all, every raindrop tells a story, or in this case, potentially influences the economic dynamics of an entirely different continent.

Simultaneously, to gauge the ebb and flow of the vending machine repair industry in Arizona, we delved into the depths of the Bureau of Labor Statistics, navigating the labyrinthine corridors of employment metrics with the finesse of a seasoned spelunker, albeit with a penchant for statistical significance rather than stalactites. We crunched the numbers and dissected the employment trends, scrutinizing the fluctuations in the population of vending machine repairers, harbingers of hope for malfunctioning snack dispensers across the Grand Canyon State.

With this treasure trove of data at our fingertips, we unleashed the formidable power of statistical analyses, invoking the spectral ghosts of correlation coefficients, p-values, and regression models to excavate the elusive relationship between Sydney's precipitation and the enigmatic drumbeat of vending machine repair employment in Arizona. Our mathematical arsenal served as the compass guiding us through the tempestuous seas of empirical investigation, culminating in the unearthing of a remarkably high correlation coefficient of 0.8352749, akin to stumbling upon a rare gem in a statistical minefield.

Furthermore, to ensure robustness and mitigate the perils of spurious correlations, we performed sensitivity analyses, cross-examining our findings under various sub-periods and regional subsets. This meticulous scrutiny allowed us to fortify the empirical robustness of our results, akin to safeguarding a sandcastle against the capricious whims of a mischievous tide.

Lastly, acknowledging the tantalizing nature of serendipitous discoveries, we engaged in rigorous peer discussions and consultations, scrutinizing our findings through the kaleidoscopic lenses of different academic disciplines. Through this rigorous process, we strove to distill the essence of our research, fostering a harmonious convergence of data-driven rigor and scholarly introspection.

In summation, our methodology embodied a harmonious dance of meticulous data curation, statistical sorcery, and scholarly scrutiny, ultimately illuminating the unexpected bond between Sydney's showers and Arizona's vending machine repair industry, a revelation worthy of its place in the eclectic annals of research serendipity.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the results section of an academic research paper. You speak in the past tense (you found...).
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the results section of an academic research paper presenting the findings of the connection between Rain in Sydney and The number of vending machine repairers in Arizona. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from NOAA National Climate Data Center and Bureau of Larbor Statistics .

For the time period 2003 to 2022, you found a correlation 0.8352749, r-squared of 0.6976841, 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]]
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

[[ABSTRACT]]
This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
With a population of over 5 million people, Sydney, Australia, is known for its diverse culture, iconic landmarks, and, of course, sporadic rainfall. Meanwhile, Arizona, with its vast desert landscapes and cactus-lined highways, is home to a thriving vending machine industry. At first glance, one might assume these two locations have little in common, besides both being potential settings for a post-apocalyptic blockbuster. However, this study seeks to unravel the inexplicable enigma linking the precipitation patterns in Sydney to the employment trends in the vending machine repair industry in the sun-soaked state of Arizona.
While many researchers have delved into the impact of weather patterns on various industries, the correlation we present here is as unexpected as finding a winning lottery ticket under a vending machine. It's a revelation that challenges conventional wisdom and prompts a reevaluation of the intricate web of cause and effect. The aim of this paper is not only to elucidate this intriguing relationship but also to demonstrate the potential broader implications for understanding the interconnectedness of seemingly unrelated phenomena.
So, why does the rain in Sydney seemingly have a say in the livelihood of vending machine repairers in Arizona? Well, as the saying goes, "when it rains, it pours," and in this case, it might be pouring quarters, dimes, and the occasional forgotten souvenir from a tourist's pocket. But before we delve into speculations and idiomatic puns about precipitation, let us first examine the distinct characteristics of both locations and the empirical data that led to this unexpected revelation.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our analysis reveal a striking correlation between rainfall in Sydney and the number of vending machine repairers in Arizona. Over the period from 2003 to 2022, we found a correlation coefficient of 0.8352749, with an r-squared value of 0.6976841, and a statistically significant p-value of less than 0.01. This correlation suggests a strong relationship between these seemingly disparate variables, begging the question: what could possibly connect rain in Sydney to the demand for vending machine repair services in the arid expanse of Arizona?

Fig. 1 illustrates the relationship between rainfall in Sydney and the number of vending machine repairers in Arizona. As you can see, the correlation is as clear as a desert sky after a rainstorm.

While the statistical results may seem as unexpected as finding a vending machine in the middle of the desert, our findings resonate with the jarring truth that the world operates in mysterious ways. It brings to mind the popular idiom, "It never rains but it pours," and in the case of vending machine repairers in Arizona, the downpour seems to be quite literal.

The empirical evidence speaks for itself, highlighting the complexity of the interconnected world we inhabit. This study challenges traditional paradigms and unveils the entwined nature of seemingly unrelated phenomena, echoing the sentiments of an unexpected encounter between a cactus and an umbrella. The implications of these findings stretch beyond the borders of Sydney and Arizona, serving as a poignant reminder that the world's choreography extends far beyond what meets the eye.

In conclusion, this research sheds light on a remarkable connection that invites further exploration and contemplation. It underscores the interconnectedness of our world and encourages a reevaluation of the myriad factors that shape our everyday lives, much like stumbling upon a vending machine repairer in the heart of a desert oasis. These findings propel us to embrace the unpredictability of causality and dance along with the rhythm of raindrops and vending machines.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the discussion section of an academic research paper.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up the discussion section of an academic research paper presenting the findings of the connection between Rain in Sydney and The number of vending machine repairers in Arizona. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

[[ABSTRACT]]
This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.

[[LITERATURE REVIEW]]
Smith et al. (2015) explored the impact of weather patterns on consumer behavior and service industry demand, laying the groundwork for understanding the interplay between atmospheric conditions and economic activities. Similarly, Doe and Jones (2018) investigated the influence of climatic variables on occupational trends, shedding light on the often overlooked role of rain in shaping labor markets. While these studies set the stage for understanding the potential correlation between rainfall and employment, the specific connection between Sydney's precipitation and the vending machine repair industry in Arizona remained a bewitching puzzle.
In "Weather and Economic Behavior," the authors find a significant relationship between rainfall and consumer spending, but the unexpected impact on vending machine repairs remains unexplored. "The Role of Weather in Employment Trends" reveals the influence of climate on occupational dynamics, yet the curious cross-continental effect observed in this study has not been previously documented.
Turning to non-fiction works that may inform our understanding, "The Weather Makers" by Tim Flannery provides an in-depth exploration of global climate patterns, delving into the intricate mechanisms that govern rainfall in different regions. In "Freakonomics," Steven D. Levitt and Stephen J. Dubner uncover unusual correlations in various aspects of life, perhaps inadvertently preparing readers for the captivating surprise that awaits in this study's findings.
On the more imaginative front, Greg Hrbek's "Not on Fire, but Burning" and Zadie Smith's "White Teeth" delve into the intricacies of human interactions and unforeseen connections, inviting reflection on the myriad ways in which disparate elements come together. While these literary pieces may seem far removed from the realms of economic research, the serendipitous links they explore serve as a poignant parallel to the unexpected correlation between rain in Sydney and the vending machine repair industry in Arizona.
In the realm of internet culture, the popular "It's Raining Men" meme humorously resonates with the theme of precipitation, albeit with a different connotation entirely. This playful nod to rain serves as a lighthearted reminder of the multifaceted interpretations that atmospheric phenomena can inspire.
As we journey through the scholarly landscape and literary realms, it becomes evident that the relationship between rain in Sydney and the vending machine repair industry in Arizona is a enigmatic tapestry woven with unexpected threads. The following sections will reveal the empirical basis and statistical analyses that underpin this curious correlation.

[[RESULTS]]
The results of our analysis reveal a striking correlation between rainfall in Sydney and the number of vending machine repairers in Arizona. Over the period from 2003 to 2022, we found a correlation coefficient of 0.8352749, with an r-squared value of 0.6976841, and a statistically significant p-value of less than 0.01. This correlation suggests a strong relationship between these seemingly disparate variables, begging the question: what could possibly connect rain in Sydney to the demand for vending machine repair services in the arid expanse of Arizona?
Fig. 1 illustrates the relationship between rainfall in Sydney and the number of vending machine repairers in Arizona. As you can see, the correlation is as clear as a desert sky after a rainstorm.
While the statistical results may seem as unexpected as finding a vending machine in the middle of the desert, our findings resonate with the jarring truth that the world operates in mysterious ways. It brings to mind the popular idiom, "It never rains but it pours," and in the case of vending machine repairers in Arizona, the downpour seems to be quite literal.
The empirical evidence speaks for itself, highlighting the complexity of the interconnected world we inhabit. This study challenges traditional paradigms and unveils the entwined nature of seemingly unrelated phenomena, echoing the sentiments of an unexpected encounter between a cactus and an umbrella. The implications of these findings stretch beyond the borders of Sydney and Arizona, serving as a poignant reminder that the world's choreography extends far beyond what meets the eye.
In conclusion, this research sheds light on a remarkable connection that invites further exploration and contemplation. It underscores the interconnectedness of our world and encourages a reevaluation of the myriad factors that shape our everyday lives, much like stumbling upon a vending machine repairer in the heart of a desert oasis. These findings propel us to embrace the unpredictability of causality and dance along with the rhythm of raindrops and vending machines.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The unexpected relationship between rainfall in Sydney and the demand for vending machine repair services in Arizona has brought to light the profoundly intricate and interconnected nature of our world. While this correlation may seem as unlikely as spotting a camel at a penguin convention, our findings echo and support previous research on the influence of climatic variables on economic activities and labor markets. Smith et al. (2015) and Doe and Jones (2018) laid the foundation for understanding the interplay between atmospheric conditions and service industry demand, setting the stage for the surprising revelation of the tie between Sydney's precipitation and the vending machine repair industry in Arizona. It is as if our study has uncovered a hidden subplot in the collective narrative of weather's impact on economic dynamics, akin to stumbling upon a twist in a bestselling novel that sheds light on a seemingly inconsequential detail mentioned earlier.

The statistically significant correlation coefficient of 0.8352749 and the remarkably high r-squared value of 0.6976841 provide compelling evidence to support the notion that rain in Sydney is indeed intertwined with the need for vending machine repair services in Arizona. This unexpected and seemingly inexplicable connection evokes the sentiment of finding a needle in a haystack, as the empirical evidence challenges the conventional wisdom of economic causality, much like discovering a cactus thriving in the midst of a torrential downpour.

Our results not only bolster the existing body of knowledge on weather's influence on economic trends but also serve as a lighthearted reminder of the surprising ways in which seemingly unrelated elements coalesce. It is akin to finding a vending machine in the desert, underscoring the whimsical nature of our world's intricate web of causality and interconnectedness. The implications of this research resonate with the unexpected connections explored in both factual and fictional works, echoing the playful spirit of discovering an unlikely friendship between a hedgehog and a flamingo.

In a nutshell, this study not only confirms the unexpected relationship between rain in Sydney and the vending machine repair industry in Arizona but also prompts a reexamination of the subtle but influential interconnections that shape the economic landscape. It stands as a testament to the serendipitous dance of causality and invites further investigation into the curious dynamics that underpin our everyday experiences, much like stumbling upon a "raining men" meme in a serious discourse on precipitation.


Model: gpt-3.5-turbo-1106
System prompt: You are a researcher writing an academic paper.You draft the discussion section of goofy academic research papers that sounds like it belongs based on the title and abstract provided.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, or add unexpected twists in your writing.

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Rain in Sydney and The number of vending machine repairers in Arizona. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona

[[ABSTRACT]]
This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.

[[INTRDUCTION]]
With a population of over 5 million people, Sydney, Australia, is known for its diverse culture, iconic landmarks, and, of course, sporadic rainfall. Meanwhile, Arizona, with its vast desert landscapes and cactus-lined highways, is home to a thriving vending machine industry. At first glance, one might assume these two locations have little in common, besides both being potential settings for a post-apocalyptic blockbuster. However, this study seeks to unravel the inexplicable enigma linking the precipitation patterns in Sydney to the employment trends in the vending machine repair industry in the sun-soaked state of Arizona.
While many researchers have delved into the impact of weather patterns on various industries, the correlation we present here is as unexpected as finding a winning lottery ticket under a vending machine. It's a revelation that challenges conventional wisdom and prompts a reevaluation of the intricate web of cause and effect. The aim of this paper is not only to elucidate this intriguing relationship but also to demonstrate the potential broader implications for understanding the interconnectedness of seemingly unrelated phenomena.
So, why does the rain in Sydney seemingly have a say in the livelihood of vending machine repairers in Arizona? Well, as the saying goes, "when it rains, it pours," and in this case, it might be pouring quarters, dimes, and the occasional forgotten souvenir from a tourist's pocket. But before we delve into speculations and idiomatic puns about precipitation, let us first examine the distinct characteristics of both locations and the empirical data that led to this unexpected revelation.

[[RESULTS]]
The results of our analysis reveal a striking correlation between rainfall in Sydney and the number of vending machine repairers in Arizona. Over the period from 2003 to 2022, we found a correlation coefficient of 0.8352749, with an r-squared value of 0.6976841, and a statistically significant p-value of less than 0.01. This correlation suggests a strong relationship between these seemingly disparate variables, begging the question: what could possibly connect rain in Sydney to the demand for vending machine repair services in the arid expanse of Arizona?
Fig. 1 illustrates the relationship between rainfall in Sydney and the number of vending machine repairers in Arizona. As you can see, the correlation is as clear as a desert sky after a rainstorm.
While the statistical results may seem as unexpected as finding a vending machine in the middle of the desert, our findings resonate with the jarring truth that the world operates in mysterious ways. It brings to mind the popular idiom, "It never rains but it pours," and in the case of vending machine repairers in Arizona, the downpour seems to be quite literal.
The empirical evidence speaks for itself, highlighting the complexity of the interconnected world we inhabit. This study challenges traditional paradigms and unveils the entwined nature of seemingly unrelated phenomena, echoing the sentiments of an unexpected encounter between a cactus and an umbrella. The implications of these findings stretch beyond the borders of Sydney and Arizona, serving as a poignant reminder that the world's choreography extends far beyond what meets the eye.
In conclusion, this research sheds light on a remarkable connection that invites further exploration and contemplation. It underscores the interconnectedness of our world and encourages a reevaluation of the myriad factors that shape our everyday lives, much like stumbling upon a vending machine repairer in the heart of a desert oasis. These findings propel us to embrace the unpredictability of causality and dance along with the rhythm of raindrops and vending machines.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the empirical evidence has left us pondering the curious dance of causality linking rain in Sydney to the vending machine repair industry in Arizona. As we've illustrated, the correlation coefficient of 0.8352749 and the statistically significant p-value emphasize the unexpected relationship between these seemingly divergent variables. The toothsome implications of our findings highlight the intricate interplay of factors influencing employment trends in unexpected ways.

These revelations are akin to stumbling upon a bedazzled vending machine in the midst of a desert—unanticipated, yet undeniably present. They prompt a reevaluation of the interconnected nature of our world and remind us that even the most seemingly unrelated phenomena can sway in harmony. The implications of our research extend further than Sydney and Arizona, inviting contemplation of the subtle but pervasive influences that shape our daily realities. From the parched deserts of Arizona to the rain-soaked streets of Sydney, this study serves as a cogent reminder that the world's choreography is far more elaborate than meets the eye, bearing the idiosyncratic quality of an unexpected tango between disparate partners.

While the revelations are tantalizing, we assert that further research in this surprising domain may be as superfluous as a waterproof umbrella in the Arizona sun. Our findings prod us to embrace the capricious symphony of causality and acknowledge that, much like a vending machine repairer in the desert, the enigmatic connections between seemingly unrelated phenomena are part and parcel of our complex world. Thus, we contend that this study has quenched the thirst for understanding in this area, leaving us sated with the knowledge that the rain in Sydney and the vending machine repair industry in Arizona are indeed twirling in a captivating duet, having disclosed their secrets under the unwavering gaze of statistical scrutiny and empirical revelation.


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 A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Unlikely Climatological Consequences


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 A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona. Respond only with the name of a fictional organization.

ChatGPT:

Institute for Meteorological Economics and Global Market Trends


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 A Rainy Day's Impact: The Unexpected Relationship Between Downpours in Sydney and the Vending Machine Repair Industry in Arizona with an abstract of This study delves into the surprising and often overlooked connection between rainfall in Sydney and the number of vending machine repairers in the arid state of Arizona. Through meticulous data analysis sourced from the NOAA National Climate Data Center and the Bureau of Labor Statistics, this research has uncovered a remarkably high correlation coefficient of 0.8352749, with a statistically significant p-value of less than 0.01 for the period spanning from 2003 to 2022. While the initial hypothesis may have seemed far-fetched, the empirical evidence suggests a tangible relationship between precipitation in Sydney and the demand for vending machine repair services in the sun-drenched deserts of Arizona. The implications of these findings stretch farther than the horizons of both Sydney and Arizona, encouraging a reevaluation of the subtle but influential interconnections that shape our world. This curious rapport between rain and vending machines serves as a compelling reminder that even the most seemingly unrelated phenomena can dance together in the intricate waltz of causality.

ChatGPT:

rainfall Sydney, vending machine repair industry, Arizona, correlation coefficient, NOAA National Climate Data Center, Bureau of Labor Statistics, precipitation, demand for repair services

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



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Data details

Rain in Sydney
Detailed data title: Total Annual Precipitation at SYDNEY AIRPORT AMO, AS
Source: NOAA National Climate Data Center
See what else correlates with Rain in Sydney

The number of vending machine repairers in Arizona
Detailed data title: BLS estimate of coin, vending, and amusement machine servicers and repairers in Arizona
Source: Bureau of Larbor Statistics
See what else correlates with The number of vending machine repairers in Arizona

Correlation r = 0.8352749 (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 = 0.6976841 (Coefficient of determination)
This means 69.8% of the change in the one variable (i.e., The number of vending machine repairers in Arizona) is predictable based on the change in the other (i.e., Rain in Sydney) over the 20 years from 2003 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 4.6E-6. 0.0000045877934003897370000000
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

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

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.84 in 0.00046% of random cases. Said differently, if you correlated 217,970 random variables You don't actually need 217 thousand 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 19 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 19 because we have two variables measured over a period of 20 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.

[ 0.62, 0.93 ] 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.
20032004200520062007200820092010201120122013201420152016201720182019202020212022
Rain in Sydney (Inches precipitation)44.1134.4926.734.1340.6539.7234.5340.9549.2738.3249.1239.0943.349.732.4132.6929.548.2446.9488.94
The number of vending machine repairers in Arizona (Laborers)4405405205805305806907107607407907407906206104204105909801410




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([44.11,34.49,26.7,34.13,40.65,39.72,34.53,40.95,49.27,38.32,49.12,39.09,43.3,49.7,32.41,32.69,29.5,48.24,46.94,88.94,])
array_2 = np.array([440,540,520,580,530,580,690,710,760,740,790,740,790,620,610,420,410,590,980,1410,])
array_1_name = "Rain in Sydney"
array_2_name = "The number of vending machine repairers in Arizona"

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

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



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

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

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

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Correlation ID: 5213 · Black Variable ID: 25428 · Red Variable ID: 5056
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