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Spurious correlation #1,990 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is The number of technical writers in Arizona and the second variable is Liquefied petroleum gas used in United States.  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

As the number of technical writers in Arizona rose, so did the amount of hot air in the state. This led to an increased demand for Liquefied Petroleum Gas (LPG) as more and more people turned to grilling to enjoy the sunny weather. It seems the pen truly is mightier than the propane tank!

Model: dalle-3
Prompt: Prompt: Generate an image of a futuristic office building amidst the arid landscape of Arizona. Surrounding the building, a group of technical writers are seen collaborating, each immersed in futuristic workstations. Stacks of technical documents and high-tech laptops adorn the landscape. In the distance, a sleek truck transports tanks of liquefied petroleum gas, characteristic of modern energy distribution. The depiction should include only scenes, people, and objects, it should not include text or speech bubbles.
This image generation prompt was also generated by AI, using the following sequence:

Model: gpt-3.5-turbo-1106
System prompt: You select one of a few potential scene descriptors that seems to go along with the variables described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here are two variables: The number of technical writers in Arizona and Liquefied petroleum gas used in United States. 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: Oragami Sci-fi fantacy High-tech Celtic art Futuristic
ChatGPT: High-tech

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both The number of technical writers in Arizona and Liquefied petroleum gas used in United States together. Keep the description simple.
ChatGPT: In the arid landscape of Arizona, a group of technical writers gather outside a modern office building. They are surrounded by stacks of technical documents and laptops. In the distance, a truck transports tanks of liquefied petroleum gas, which are used throughout the United States for heating and cooking.

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: [ High-tech ] and depicting this scene: In the arid landscape of Arizona, a group of technical writers gather outside a modern office building. They are surrounded by stacks of technical documents and laptops. In the distance, a truck transports tanks of liquefied petroleum gas, which are used throughout the United States for heating and cooking. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image of a futuristic office building amidst the arid landscape of Arizona. Surrounding the building, a group of technical writers are seen collaborating, each immersed in futuristic workstations. Stacks of technical documents and high-tech laptops adorn the landscape. In the distance, a sleek truck transports tanks of liquefied petroleum gas, characteristic of modern energy distribution.

*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 The number of technical writers in Arizona caused Liquefied petroleum gas used in United States to increase. Include one good pun.

AI academic paper

(Because p < 0.01)
The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States

The Journal of Interdisciplinary Quirkiness

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 The number of technical writers in Arizona and Liquefied petroleum gas used in United States. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from Bureau of Larbor Statistics and Energy Information Administration to assess this nagging question. You found a correlation coefficient of 0.9181756 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]]
"The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States"

[[ABSTRACT]]
This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.


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 The number of technical writers in Arizona and Liquefied petroleum gas used in United States. 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]]
"The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States"

[[ABSTRACT]]
This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

In the annals of academia, where the sober pursuit of knowledge is the primary aim, it is a rare delight to stumble upon an unexpected and seemingly inexplicable correlation between disparate variables. Our study, "The Write Connection," unearths such an enigmatic relationship, unveiling the peculiar link between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States.

As scholars and researchers, we are accustomed to delving into the depths of data, seeking patterns, trends, and meaningful associations. Yet, it is with a mix of bemusement and astonishment that we present our findings, which point to a substantial and robust correlation between the crafters of technical documents in the Grand Canyon State and the utilization of LPG, a versatile and combustible energy source put to use in a multitude of applications.

The study's genesis can be traced back to a serendipitous water cooler conversation, where one of our colleagues speculated about the potential connection between the proliferation of technical writers and the consumption of LPG in the U.S. A seemingly innocuous jest morphed into a full-fledged research endeavor, leading us down the labyrinthine corridors of statistical analysis and empirical inquiry.

This endeavor would not have been possible without the tireless effort of our research team, who navigated through the troves of data provided by the Bureau of Labor Statistics and the Energy Information Administration with a sense of curiosity and a sprinkle of skepticism, debunking the conventional wisdom that correlation does not imply causation.

In this paper, we unravel not only the statistical intricacies of our findings but also the piquant humor inherent in the discovery of such an unexpected relationship. The juxtaposition of the erudite world of technical writing and the fiery world of LPG consumption serves as a poignant reminder of the capricious nature of statistical associations, injecting a touch of whimsy into the staid realm of empirical research.

As we embark on this scholarly odyssey, let us unravel the curious confluence of ink and gas, the synergy of prose and propane, and the unanticipated entanglement of documentation and detonation, shedding light on a most improbable nexus in the multifaceted web of societal dynamics.


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 The number of technical writers in Arizona and Liquefied petroleum gas used in United States. 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 devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading the backs of shampoo bottles.

Here is the title and abstract of the paper:
[[TITLE]]
"The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States"

[[ABSTRACT]]
This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
In the annals of academia, where the sober pursuit of knowledge is the primary aim, it is a rare delight to stumble upon an unexpected and seemingly inexplicable correlation between disparate variables. Our study, "The Write Connection," unearths such an enigmatic relationship, unveiling the peculiar link between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States.
As scholars and researchers, we are accustomed to delving into the depths of data, seeking patterns, trends, and meaningful associations. Yet, it is with a mix of bemusement and astonishment that we present our findings, which point to a substantial and robust correlation between the crafters of technical documents in the Grand Canyon State and the utilization of LPG, a versatile and combustible energy source put to use in a multitude of applications.
The study's genesis can be traced back to a serendipitous water cooler conversation, where one of our colleagues speculated about the potential connection between the proliferation of technical writers and the consumption of LPG in the U.S. A seemingly innocuous jest morphed into a full-fledged research endeavor, leading us down the labyrinthine corridors of statistical analysis and empirical inquiry.
This endeavor would not have been possible without the tireless effort of our research team, who navigated through the troves of data provided by the Bureau of Labor Statistics and the Energy Information Administration with a sense of curiosity and a sprinkle of skepticism, debunking the conventional wisdom that correlation does not imply causation.
In this paper, we unravel not only the statistical intricacies of our findings but also the piquant humor inherent in the discovery of such an unexpected relationship. The juxtaposition of the erudite world of technical writing and the fiery world of LPG consumption serves as a poignant reminder of the capricious nature of statistical associations, injecting a touch of whimsy into the staid realm of empirical research.
As we embark on this scholarly odyssey, let us unravel the curious confluence of ink and gas, the synergy of prose and propane, and the unanticipated entanglement of documentation and detonation, shedding light on a most improbable nexus in the multifaceted web of societal dynamics.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The relationship between seemingly unrelated variables has long captivated the minds of scholars and researchers. Such unexpected connections serve as a source of both intrigue and amusement in the realm of empirical inquiry. In the exploration of the correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States, our investigation has traversed through the annals of literature, encompassing a spectrum of academic studies and scholarly works.

In "Technical Writers and Regional Energy Consumption," Smith et al. present a sober analysis of occupational demographics and energy usage, laying the groundwork for our examination of the curious nexus between the literary artisans of the Southwest and the fiery fuel that powers the nation. Similarly, Doe and Jones, in their seminal work "Occupational Factors Affecting National Energy Trends," delve into the intricate interplay of professional vocations and their impact on energy consumption patterns. Such serious scholarship provides the foundation upon which we build our investigation into this unexpected correlation.

Expanding our purview to the intersection of occupational dynamics and societal energy usage, "Technical Writing: A Cultural Perspective" by Adams et al. offers a nuanced exploration of the role of technical communicators in shaping broader cultural phenomena. While not directly addressing LPG consumption, the authors' insights into the influence of occupational groups on societal trends inform our understanding of the potential impacts of technical writers on energy usage patterns.

Transitioning from the stark realm of non-fiction to the realm of fiction, the inclusion of literary works might seem tangential. However, in "The Prosaic Propane Propensity" by Smithson and "Tales of Technical Writers and the Trials of Torches" by Johnson, fiction provides a whimsical lens through which to view our investigation. Through the narrative exploits of fictional scribes and the enthralling accounts of LPG-laden adventures, these literary works provoke contemplation of the unexpected connections between the world of writing and the realm of combustible gases.

Beyond the confines of conventional academic literature, our research team has cast a wide net in the pursuit of insights. Surprisingly, the backs of shampoo bottles, with their eclectic mix of ingredients and instructional prose, have offered an unwitting fount of inspiration. The seemingly innocuous instructions for lathering and rinsing have provided a subtle reminder of the ubiquity of technical communication and its potential influence, even in the most unexpected of places.

In this synthesis of serious scholarship, literary whimsy, and offbeat inspiration, we gain a panoramic view of the multifaceted landscape surrounding the relationship between technical writers in Arizona and LPG consumption in the United States. As we embark on this scholarly venture, encompassing a tapestry of academic rigor and levity, we uncover not only statistical insights but also the tantalizing humor inherent in uncovering such an improbable 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 The number of technical writers in Arizona and Liquefied petroleum gas used in United States. 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 Bureau of Larbor Statistics and Energy Information Administration . 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]]
"The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States"

[[ABSTRACT]]
This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.

[[INTRODUCTION]]
In the annals of academia, where the sober pursuit of knowledge is the primary aim, it is a rare delight to stumble upon an unexpected and seemingly inexplicable correlation between disparate variables. Our study, "The Write Connection," unearths such an enigmatic relationship, unveiling the peculiar link between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States.
As scholars and researchers, we are accustomed to delving into the depths of data, seeking patterns, trends, and meaningful associations. Yet, it is with a mix of bemusement and astonishment that we present our findings, which point to a substantial and robust correlation between the crafters of technical documents in the Grand Canyon State and the utilization of LPG, a versatile and combustible energy source put to use in a multitude of applications.
The study's genesis can be traced back to a serendipitous water cooler conversation, where one of our colleagues speculated about the potential connection between the proliferation of technical writers and the consumption of LPG in the U.S. A seemingly innocuous jest morphed into a full-fledged research endeavor, leading us down the labyrinthine corridors of statistical analysis and empirical inquiry.
This endeavor would not have been possible without the tireless effort of our research team, who navigated through the troves of data provided by the Bureau of Labor Statistics and the Energy Information Administration with a sense of curiosity and a sprinkle of skepticism, debunking the conventional wisdom that correlation does not imply causation.
In this paper, we unravel not only the statistical intricacies of our findings but also the piquant humor inherent in the discovery of such an unexpected relationship. The juxtaposition of the erudite world of technical writing and the fiery world of LPG consumption serves as a poignant reminder of the capricious nature of statistical associations, injecting a touch of whimsy into the staid realm of empirical research.
As we embark on this scholarly odyssey, let us unravel the curious confluence of ink and gas, the synergy of prose and propane, and the unanticipated entanglement of documentation and detonation, shedding light on a most improbable nexus in the multifaceted web of societal dynamics.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To disentangle the convoluted web linking technical writers and LPG consumption, our intrepid research team embarked on a quest for data from the Bureau of Labor Statistics and the Energy Information Administration. Mining through the digital troves of information, we extracted the number of technical writers employed in the state of Arizona and the volume of liquefied petroleum gas utilized across the United States from 2003 to 2022.

Our data-gathering marathon commenced with a flurry of mouse clicks, accompanied by the occasional sigh and the fortification of copious cups of coffee. Forged in the heat of data collection, the dataset emerged as a testament to our perseverance, meticulously chronicling the ebb and flow of technical scribblers and the combustion of LPG with unwavering dedication.

To ensure the integrity of our findings, we engaged in an intricate dance of statistical analysis, invoking the mystical incantations of correlation coefficients and p-values. Armed with the formidable tools of regression analysis and time series modeling, we ventured into the labyrinth of mathematical rigor, ready to confront the lurking specter of spurious correlation and confounding variables.

The crux of our methodological approach lay in the cultivation of a sense of skepticism, as we scrutinized our findings with unwavering scrutiny. Like diligent alchemists distilling truth from the alembic of data, we sought to unveil the essence of the relationship between the wordsmiths of Arizona and the gaseous sustenance fueling the nation.

In the shadowy recesses of academia, where cynicism often shrouds the effervescent spirit of discovery, we ardently safeguarded the sparkle of curiosity, embracing the whimsy inherent in our pursuit. It is in this spirit that we present the methodological foundations of our research, cemented in diligence, fortified with statistical brawn, and adorned with a sprinkle of scholarly levity.


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 The number of technical writers in Arizona and Liquefied petroleum gas used in United States. 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 Bureau of Larbor Statistics and Energy Information Administration .

For the time period 2003 to 2022, you found a correlation 0.9181756, r-squared of 0.8430464, 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]]
"The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States"

[[ABSTRACT]]
This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
In the annals of academia, where the sober pursuit of knowledge is the primary aim, it is a rare delight to stumble upon an unexpected and seemingly inexplicable correlation between disparate variables. Our study, "The Write Connection," unearths such an enigmatic relationship, unveiling the peculiar link between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States.
As scholars and researchers, we are accustomed to delving into the depths of data, seeking patterns, trends, and meaningful associations. Yet, it is with a mix of bemusement and astonishment that we present our findings, which point to a substantial and robust correlation between the crafters of technical documents in the Grand Canyon State and the utilization of LPG, a versatile and combustible energy source put to use in a multitude of applications.
The study's genesis can be traced back to a serendipitous water cooler conversation, where one of our colleagues speculated about the potential connection between the proliferation of technical writers and the consumption of LPG in the U.S. A seemingly innocuous jest morphed into a full-fledged research endeavor, leading us down the labyrinthine corridors of statistical analysis and empirical inquiry.
This endeavor would not have been possible without the tireless effort of our research team, who navigated through the troves of data provided by the Bureau of Labor Statistics and the Energy Information Administration with a sense of curiosity and a sprinkle of skepticism, debunking the conventional wisdom that correlation does not imply causation.
In this paper, we unravel not only the statistical intricacies of our findings but also the piquant humor inherent in the discovery of such an unexpected relationship. The juxtaposition of the erudite world of technical writing and the fiery world of LPG consumption serves as a poignant reminder of the capricious nature of statistical associations, injecting a touch of whimsy into the staid realm of empirical research.
As we embark on this scholarly odyssey, let us unravel the curious confluence of ink and gas, the synergy of prose and propane, and the unanticipated entanglement of documentation and detonation, shedding light on a most improbable nexus in the multifaceted web of societal dynamics.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the data collected from the Bureau of Labor Statistics and the Energy Information Administration reveals a striking correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States from 2003 to 2022. The correlation coefficient of 0.9181756 and the r-squared value of 0.8430464 illustrate a remarkably strong relationship between these seemingly unrelated variables. Our analysis also yielded a p-value of less than 0.01, further corroborating the significance of this unexpected association.

Figure 1 presents a scatterplot displaying the robust correlation between the number of technical writers in Arizona and LPG consumption in the United States, visually encapsulating the surprising alignment of these two distinct domains. It is a vivid reflection of the seemingly paradoxical coalescence of ink and gas, leaving scholars and readers alike in amused bewilderment at the whimsical nature of statistical connections.

The fortuitous unearthing of this correlation between the ink-stained documents of Arizona's writers and the combustible allure of LPG in America adds a charming twist to the otherwise solemn pursuit of empirical inquiry. It serves as a reminder that within the enigmatic labyrinth of statistical analysis, one may stumble upon the most unexpected and jocund relationships, where the pen may indeed be mightier than the propane tank.

The confluence of these seemingly incongruous subjects embodies the essence of statistical serendipity, adding a touch of levity to the empirical landscape and prompting a chuckle amidst the ponderous pursuit of scientific scrutiny. The results of this study not only shed light on this improbable nexus but also serve as a lighthearted testament to the whimsicality of statistical relationships.


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 The number of technical writers in Arizona and Liquefied petroleum gas used in United States. 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]]
"The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States"

[[ABSTRACT]]
This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.

[[LITERATURE REVIEW]]
The relationship between seemingly unrelated variables has long captivated the minds of scholars and researchers. Such unexpected connections serve as a source of both intrigue and amusement in the realm of empirical inquiry. In the exploration of the correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States, our investigation has traversed through the annals of literature, encompassing a spectrum of academic studies and scholarly works.
In "Technical Writers and Regional Energy Consumption," Smith et al. present a sober analysis of occupational demographics and energy usage, laying the groundwork for our examination of the curious nexus between the literary artisans of the Southwest and the fiery fuel that powers the nation. Similarly, Doe and Jones, in their seminal work "Occupational Factors Affecting National Energy Trends," delve into the intricate interplay of professional vocations and their impact on energy consumption patterns. Such serious scholarship provides the foundation upon which we build our investigation into this unexpected correlation.
Expanding our purview to the intersection of occupational dynamics and societal energy usage, "Technical Writing: A Cultural Perspective" by Adams et al. offers a nuanced exploration of the role of technical communicators in shaping broader cultural phenomena. While not directly addressing LPG consumption, the authors' insights into the influence of occupational groups on societal trends inform our understanding of the potential impacts of technical writers on energy usage patterns.
Transitioning from the stark realm of non-fiction to the realm of fiction, the inclusion of literary works might seem tangential. However, in "The Prosaic Propane Propensity" by Smithson and "Tales of Technical Writers and the Trials of Torches" by Johnson, fiction provides a whimsical lens through which to view our investigation. Through the narrative exploits of fictional scribes and the enthralling accounts of LPG-laden adventures, these literary works provoke contemplation of the unexpected connections between the world of writing and the realm of combustible gases.
Beyond the confines of conventional academic literature, our research team has cast a wide net in the pursuit of insights. Surprisingly, the backs of shampoo bottles, with their eclectic mix of ingredients and instructional prose, have offered an unwitting fount of inspiration. The seemingly innocuous instructions for lathering and rinsing have provided a subtle reminder of the ubiquity of technical communication and its potential influence, even in the most unexpected of places.
In this synthesis of serious scholarship, literary whimsy, and offbeat inspiration, we gain a panoramic view of the multifaceted landscape surrounding the relationship between technical writers in Arizona and LPG consumption in the United States. As we embark on this scholarly venture, encompassing a tapestry of academic rigor and levity, we uncover not only statistical insights but also the tantalizing humor inherent in uncovering such an improbable correlation.

[[RESULTS]]
The statistical analysis of the data collected from the Bureau of Labor Statistics and the Energy Information Administration reveals a striking correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States from 2003 to 2022. The correlation coefficient of 0.9181756 and the r-squared value of 0.8430464 illustrate a remarkably strong relationship between these seemingly unrelated variables. Our analysis also yielded a p-value of less than 0.01, further corroborating the significance of this unexpected association.
Figure 1 presents a scatterplot displaying the robust correlation between the number of technical writers in Arizona and LPG consumption in the United States, visually encapsulating the surprising alignment of these two distinct domains. It is a vivid reflection of the seemingly paradoxical coalescence of ink and gas, leaving scholars and readers alike in amused bewilderment at the whimsical nature of statistical connections.
The fortuitous unearthing of this correlation between the ink-stained documents of Arizona's writers and the combustible allure of LPG in America adds a charming twist to the otherwise solemn pursuit of empirical inquiry. It serves as a reminder that within the enigmatic labyrinth of statistical analysis, one may stumble upon the most unexpected and jocund relationships, where the pen may indeed be mightier than the propane tank.
The confluence of these seemingly incongruous subjects embodies the essence of statistical serendipity, adding a touch of levity to the empirical landscape and prompting a chuckle amidst the ponderous pursuit of scientific scrutiny. The results of this study not only shed light on this improbable nexus but also serve as a lighthearted testament to the whimsicality of statistical relationships.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The findings of our study hint at a remarkable congruence between the laborious art of technical writing in the arid landscapes of Arizona and the incendiary allure of liquefied petroleum gas (LPG) across the United States. This unexpected correlation serves as a whimsical reminder of the unpredictable nature of statistical relationships, where the juxtaposition of seemingly unrelated variables can yield surprising revelations.

The glaring statistical robustness of the correlation coefficient (0.9181756) and the substantial r-squared value (0.8430464) unmistakably corroborate the connection between the number of technical writers in Arizona and LPG consumption in the United States. These findings fortify the earlier scholarly works, such as "The Prosaic Propane Propensity" by Smithson, which, despite its fictional context, whimsically hints at the profound connection between the world of writing and the realm of combustible gases. Similarly, the nuances of professional vocations discussed in "Occupational Factors Affecting National Energy Trends" by Doe and Jones find validation in the significant impact of technical writers on energy consumption patterns.

The scatterplot depicted in Figure 1 poignantly captures the unnervingly strong relationship between technical writing prowess and the fiery fuel consumption, hinting at an unconventional liaison that belies traditional predictive variables. This serves as a subtle testament to the capriciousness of statistical relationships, where the ink of technical writers seems to flow harmoniously with the flammable essence of LPG, leaving us in amused bewilderment at the whimsical nature of statistical connections.

Consistent with the broader theme of our literature review, the fortuitous unearthing of this correlation adds a delightful twist to the otherwise somber realm of empirical inquiry. It not only sheds light on an improbable nexus but also underscores the tantalizing humor inherent in uncovering such an unexpected correlation. Our study serves as a lighthearted testament to the irrepressible whimsicality of statistical relationships, reflecting the enigmatic charm and unpredictability that underpin empirical analysis.

In sum, the findings of our investigation have aligned with and expanded upon existing scholarly insights, emphasizing the rib-tickling unpredictability inherent in the world of empirical inquiry. Our study not only enriches the academic discourse but also imparts an intriguing sense of levity to the otherwise sober contemplation of statistical serendipity.


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 The number of technical writers in Arizona and Liquefied petroleum gas used in United States. 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]]
"The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States"

[[ABSTRACT]]
This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.

[[INTRDUCTION]]
In the annals of academia, where the sober pursuit of knowledge is the primary aim, it is a rare delight to stumble upon an unexpected and seemingly inexplicable correlation between disparate variables. Our study, "The Write Connection," unearths such an enigmatic relationship, unveiling the peculiar link between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States.
As scholars and researchers, we are accustomed to delving into the depths of data, seeking patterns, trends, and meaningful associations. Yet, it is with a mix of bemusement and astonishment that we present our findings, which point to a substantial and robust correlation between the crafters of technical documents in the Grand Canyon State and the utilization of LPG, a versatile and combustible energy source put to use in a multitude of applications.
The study's genesis can be traced back to a serendipitous water cooler conversation, where one of our colleagues speculated about the potential connection between the proliferation of technical writers and the consumption of LPG in the U.S. A seemingly innocuous jest morphed into a full-fledged research endeavor, leading us down the labyrinthine corridors of statistical analysis and empirical inquiry.
This endeavor would not have been possible without the tireless effort of our research team, who navigated through the troves of data provided by the Bureau of Labor Statistics and the Energy Information Administration with a sense of curiosity and a sprinkle of skepticism, debunking the conventional wisdom that correlation does not imply causation.
In this paper, we unravel not only the statistical intricacies of our findings but also the piquant humor inherent in the discovery of such an unexpected relationship. The juxtaposition of the erudite world of technical writing and the fiery world of LPG consumption serves as a poignant reminder of the capricious nature of statistical associations, injecting a touch of whimsy into the staid realm of empirical research.
As we embark on this scholarly odyssey, let us unravel the curious confluence of ink and gas, the synergy of prose and propane, and the unanticipated entanglement of documentation and detonation, shedding light on a most improbable nexus in the multifaceted web of societal dynamics.

[[RESULTS]]
The statistical analysis of the data collected from the Bureau of Labor Statistics and the Energy Information Administration reveals a striking correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States from 2003 to 2022. The correlation coefficient of 0.9181756 and the r-squared value of 0.8430464 illustrate a remarkably strong relationship between these seemingly unrelated variables. Our analysis also yielded a p-value of less than 0.01, further corroborating the significance of this unexpected association.
Figure 1 presents a scatterplot displaying the robust correlation between the number of technical writers in Arizona and LPG consumption in the United States, visually encapsulating the surprising alignment of these two distinct domains. It is a vivid reflection of the seemingly paradoxical coalescence of ink and gas, leaving scholars and readers alike in amused bewilderment at the whimsical nature of statistical connections.
The fortuitous unearthing of this correlation between the ink-stained documents of Arizona's writers and the combustible allure of LPG in America adds a charming twist to the otherwise solemn pursuit of empirical inquiry. It serves as a reminder that within the enigmatic labyrinth of statistical analysis, one may stumble upon the most unexpected and jocund relationships, where the pen may indeed be mightier than the propane tank.
The confluence of these seemingly incongruous subjects embodies the essence of statistical serendipity, adding a touch of levity to the empirical landscape and prompting a chuckle amidst the ponderous pursuit of scientific scrutiny. The results of this study not only shed light on this improbable nexus but also serve as a lighthearted testament to the whimsicality of statistical relationships.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has brought to light a most curious and unexpected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. The robust correlation coefficient and the significant p-value affirm the strength of this connection, leaving us in delightful perplexity at the intricate dance of ink and gas. The juxtaposition of these seemingly unrelated variables serves as a playful reminder of the capricious nature of statistical relationships, akin to finding humor in the most unsuspecting of places.

The unearthing of this correlation not only adds a whimsical twist to the world of empirical inquiry but also underscores the enchanting unpredictability that lies within the realm of data analysis. It is a testament to the serendipitous nature of statistical exploration, where one might stumble upon the most improbable yet humorous of associations, reminiscent of finding a punchline in a solemn treatise.

Hence, in the spirit of academic merriment and statistical whimsy, we assert that no further exploration of this particular correlation is needed. We have unraveled the enigmatic link between the technical scribblers of Arizona and the fiery allure of LPG, leaving academia with a bemused smile at the marvels of statistical caprice.


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 The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Interdisciplinary Quirkiness


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 The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Interdisciplinary Research and Analysis (SIRA)


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 The Write Connection: A Correlation Study between Technical Writers in Arizona and Liquefied Petroleum Gas Consumption in the United States with an abstract of This study delves into the unsuspected correlation between the number of technical writers in Arizona and the consumption of liquefied petroleum gas (LPG) in the United States. Utilizing data from the Bureau of Labor Statistics and the Energy Information Administration, our research team conducted a rigorous analysis from 2003 to 2022. The findings revealed a remarkably high correlation coefficient of 0.9181756 and a significant p-value of less than 0.01, indicating a strong relationship between these seemingly unrelated factors. Our paper unravels the curious coincidence between the scribes of technical documentation in the Grand Canyon State and the flammable fuel powering homes and businesses across the nation. This connection, though initially obscured, underscores the unpredictable and whimsical nature of statistical relationships, adding a dash of amusement to the somber tapestry of academia.

ChatGPT:

technical writers, Arizona, liquefied petroleum gas consumption, United States, correlation study, statistical analysis, Bureau of Labor Statistics, Energy Information Administration, Grand Canyon State, scribes, documentation, fuel consumption, relationship analysis

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



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Data details

The number of technical writers in Arizona
Detailed data title: BLS estimate of technical writers in Arizona
Source: Bureau of Larbor Statistics
See what else correlates with The number of technical writers in Arizona

Liquefied petroleum gas used in United States
Detailed data title: Volume of liquefied petroleum gas used consumed in United States in millions of barrels per day
Source: Energy Information Administration
See what else correlates with Liquefied petroleum gas used in United States

Correlation r = 0.9181756 (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 = 0.8430464 (Coefficient of determination)
This means 84.3% of the change in the one variable (i.e., Liquefied petroleum gas used in United States) is predictable based on the change in the other (i.e., The number of technical writers in Arizona) over the 20 years from 2003 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.2E-8. 0.0000000115698656622833130000
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 0.92 in 1.2E-6% of random cases. Said differently, if you correlated 86,431,427 random variables You don't actually need 86 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 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.

[ 0.8, 0.97 ] 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
The number of technical writers in Arizona (Technical Writers)10108406007808608206306006708309209309409708206505706406302160
Liquefied petroleum gas used in United States (Million Barrels/Day)1410.831430.311369.971345.251341.011268.681244.711290.51263.431288.281449.041347.971379.631344.261293.571401.451404.291300.51374.983357.36




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([1010,840,600,780,860,820,630,600,670,830,920,930,940,970,820,650,570,640,630,2160,])
array_2 = np.array([1410.83,1430.31,1369.97,1345.25,1341.01,1268.68,1244.71,1290.5,1263.43,1288.28,1449.04,1347.97,1379.63,1344.26,1293.57,1401.45,1404.29,1300.5,1374.98,3357.36,])
array_1_name = "The number of technical writers in Arizona"
array_2_name = "Liquefied petroleum gas used in United States"

# 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: 1990 · Black Variable ID: 4927 · Red Variable ID: 25054
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