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Spurious correlation #5,579 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air quality in Fort Wayne and the second variable is The number of property association managers in Indiana.  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 cleaner air in Fort Wayne led to an influx of new residents, prompting the need for more property association managers statewide. It turns out, nothing attracts people to Indiana like the crisp, refreshing scent of pristine air in Fort Wayne. Who knew that good ol' oxygen could have such a drastic impact on the real estate management industry?

Model: dalle-3
Prompt: Prompt: Generate a photo-realistic image of a serene neighborhood in Fort Wayne, Indiana, with clean, fresh air permeating the atmosphere. Depict new residents leisurely strolling amidst lush greenery, basking in the tranquility of their surroundings. In the background, showcase property association managers diligently coordinating community events and overseeing the needs of the growing properties in various parts of Indiana. Convey the graceful navigation of real estate demands in the image, as the influx of new residents are attracted by the pristine air of Fort Wayne. 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: Air quality in Fort Wayne and The number of property association managers in Indiana. 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: Cute 2D animation A comic-book-style illustration with muted colors and a dotted halftone pattern from the 1960s A photo-realistic image a funny image you would see on reddit Art nouveau
ChatGPT: A photo-realistic image

Model: gpt-3.5-turbo-1106
System prompt: You describe simple visual scenes that depict the two variables stated. You combine both variables into one scene.
User prompt: Please describe a visual scene that prominently depicts both Air quality in Fort Wayne and The number of property association managers in Indiana, in the following situation: The cleaner air in Fort Wayne led to an influx of new residents, prompting the need for more property association managers statewide. It turns out, nothing attracts people to Indiana like the crisp, refreshing scent of pristine air in Fort Wayne. Who knew that good ol' oxygen could have such a drastic impact on the real estate management industry?. Keep the description simple.
ChatGPT: The clean air in Fort Wayne fills the sky with a fresh, clear aura. New residents are seen strolling through lush green neighborhoods, a sense of tranquility evident on their faces. Meanwhile, in various parts of Indiana, property association managers are busy at work, coordinating community events and tending to the needs of the growing number of properties. The need for more property managers is clearly evident as they gracefully navigate the increasing demands of the real estate industry, owing to the influx of new residents attracted by the pristine air of Fort Wayne.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ A photo-realistic image ] and depicting this scene: The clean air in Fort Wayne fills the sky with a fresh, clear aura. New residents are seen strolling through lush green neighborhoods, a sense of tranquility evident on their faces. Meanwhile, in various parts of Indiana, property association managers are busy at work, coordinating community events and tending to the needs of the growing number of properties. The need for more property managers is clearly evident as they gracefully navigate the increasing demands of the real estate industry, owing to the influx of new residents attracted by the pristine air of Fort Wayne. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate a photo-realistic image of a serene neighborhood in Fort Wayne, Indiana, with clean, fresh air permeating the atmosphere. Depict new residents leisurely strolling amidst lush greenery, basking in the tranquility of their surroundings. In the background, showcase property association managers diligently coordinating community events and overseeing the needs of the growing properties in various parts of Indiana. Convey the graceful navigation of real estate demands in the image, as the influx of new residents are attracted by the pristine air of Fort Wayne.

*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 Air quality in Fort Wayne caused The number of property association managers in Indiana to increase.

AI academic paper

(Because p < 0.01)
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

Journal of Ecological Economics and Urban Planning

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 dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Air quality in Fort Wayne and The number of property association managers in Indiana. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Rhyme words in the title.

Your research team used data from Environmental Protection Agency and Bureau of Larbor Statistics to assess this nagging question. You found a correlation coefficient of 0.8700192 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]]
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

[[ABSTRACT]]
Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.

Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.

In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Air quality in Fort Wayne and The number of property association managers in Indiana. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

[[ABSTRACT]]
Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.

Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.

In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The relationship between air quality and human health has been extensively studied, but the potential impact of air quality on economic sectors such as property management has received less attention. Air quality is a multifaceted issue, influenced by a complex array of natural and anthropogenic factors. Similarly, the property management industry encompasses diverse responsibilities, from overseeing maintenance to managing finances for residential and commercial properties. These seemingly distinct domains intersect in the context of environmental and occupational health. One might say we are embarking on a "breath-taking" journey into uncharted territory, where science meets property management.

In the realm of air quality, Fort Wayne, Indiana, serves as a pertinent case study due to its unique environmental characteristics and socioeconomic dynamics. The city's air quality is subject to influences from industrial activities, traffic emissions, and natural sources. Meanwhile, the property management industry in Indiana faces its own set of challenges and opportunities in maintaining residential and commercial properties. As we tease apart the threads of this intriguing correlation, one cannot help but marvel at the "air-raising" implications for both air quality and property management.

Our study aims to shed light on the potential association between air quality in Fort Wayne and the number of property association managers in Indiana. By casting our net wider and deeper through extensive data collection and rigorous statistical analysis, we endeavor to unearth the "aerodynamics" of this relationship. Our investigation will consider a variety of air quality indicators, including air pollutant concentrations and particulate matter levels, alongside the employment patterns of property association managers across different regions of Indiana.

As we delve into this intersection of air quality and property management, it becomes apparent that the findings may not just be of academic interest but could also have practical implications for policymakers and industry professionals. The "wind of change" blowing through the property management sector may be influenced by factors beyond traditional economic variables, giving a whole new meaning to the phrase "airing out the issues."

Through these endeavors, we aim to contribute not only to the scholarly discourse on environmental economics and public health but also to provoke a few chuckles and appreciative groans from our fellow researchers along the way. After all, who says academic research can't be a breath of "fresh air"?


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Air quality in Fort Wayne and The number of property association managers in Indiana. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

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

Here is the title and abstract of the paper:
[[TITLE]]
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

[[ABSTRACT]]
Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.

Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.

In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The relationship between air quality and human health has been extensively studied, but the potential impact of air quality on economic sectors such as property management has received less attention. Air quality is a multifaceted issue, influenced by a complex array of natural and anthropogenic factors. Similarly, the property management industry encompasses diverse responsibilities, from overseeing maintenance to managing finances for residential and commercial properties. These seemingly distinct domains intersect in the context of environmental and occupational health. One might say we are embarking on a "breath-taking" journey into uncharted territory, where science meets property management.
In the realm of air quality, Fort Wayne, Indiana, serves as a pertinent case study due to its unique environmental characteristics and socioeconomic dynamics. The city's air quality is subject to influences from industrial activities, traffic emissions, and natural sources. Meanwhile, the property management industry in Indiana faces its own set of challenges and opportunities in maintaining residential and commercial properties. As we tease apart the threads of this intriguing correlation, one cannot help but marvel at the "air-raising" implications for both air quality and property management.
Our study aims to shed light on the potential association between air quality in Fort Wayne and the number of property association managers in Indiana. By casting our net wider and deeper through extensive data collection and rigorous statistical analysis, we endeavor to unearth the "aerodynamics" of this relationship. Our investigation will consider a variety of air quality indicators, including air pollutant concentrations and particulate matter levels, alongside the employment patterns of property association managers across different regions of Indiana.
As we delve into this intersection of air quality and property management, it becomes apparent that the findings may not just be of academic interest but could also have practical implications for policymakers and industry professionals. The "wind of change" blowing through the property management sector may be influenced by factors beyond traditional economic variables, giving a whole new meaning to the phrase "airing out the issues."
Through these endeavors, we aim to contribute not only to the scholarly discourse on environmental economics and public health but also to provoke a few chuckles and appreciative groans from our fellow researchers along the way. After all, who says academic research can't be a breath of "fresh air"?

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Smith et al. (2020) conducted a comprehensive analysis of air quality indices and their implications for various sectors of the economy. The authors find a consistent relationship between improved air quality and increased productivity in industries reliant on outdoor labor. Similarly, Doe and Jones (2018) investigated the impact of environmental factors on employment trends, revealing a noteworthy connection between air pollution levels and workforce dynamics across different regions.

It appears that air quality may not only influence human health and productivity but also extend its reach into the realm of property management. In "Clean Air and Profitability" (2021), Lorem and Ipsum showcase how businesses in areas with better air quality tend to invest more in property maintenance, potentially driving the demand for property association managers.

Turning to non-fiction books related to the topic, "The Air We Breathe: Understanding Air Quality and Its Effects" by John Smith provides an in-depth exploration of air quality and its far-reaching impact. Meanwhile, "Property Management Principles" by William Doe offers insights into the intricacies of property association management. These works lay the groundwork for understanding the interplay between air quality and the property management industry.

In a fictional context, "The Dust of Ages" by Amanda Jones presents a captivating tale set in a post-apocalyptic world where air quality is a matter of life and death, emphasizing the importance of environmental conditions on society and its infrastructure. On a lighter note, "The Air Affair" by Charlotte Doe takes a whimsical approach to property management, intertwining office relationships with the quirks of maintaining buildings.

In the realm of internet culture, the "This Is Fine" meme captures the essence of coping with deteriorating air quality, mirroring the struggles of property managers faced with overwhelming maintenance tasks. On a more uplifting note, the "Change My Mind" meme reflects the idea that improved air quality positively impacts property management employment, as if inviting skeptics to reconsider the correlation.

As evident from the literature and diverse sources explored, the connection between air quality in Fort Wayne and the number of property association managers in Indiana is a multifaceted and potentially transformative phenomenon. The serious research literature provides a foundation, but the infusion of fiction and internet culture adds a layer of richness and humor to our understanding of this peculiar correlation.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Air quality in Fort Wayne and The number of property association managers in Indiana. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from Environmental Protection Agency 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]]
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

[[ABSTRACT]]
Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.

Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.

In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!

[[INTRODUCTION]]
The relationship between air quality and human health has been extensively studied, but the potential impact of air quality on economic sectors such as property management has received less attention. Air quality is a multifaceted issue, influenced by a complex array of natural and anthropogenic factors. Similarly, the property management industry encompasses diverse responsibilities, from overseeing maintenance to managing finances for residential and commercial properties. These seemingly distinct domains intersect in the context of environmental and occupational health. One might say we are embarking on a "breath-taking" journey into uncharted territory, where science meets property management.
In the realm of air quality, Fort Wayne, Indiana, serves as a pertinent case study due to its unique environmental characteristics and socioeconomic dynamics. The city's air quality is subject to influences from industrial activities, traffic emissions, and natural sources. Meanwhile, the property management industry in Indiana faces its own set of challenges and opportunities in maintaining residential and commercial properties. As we tease apart the threads of this intriguing correlation, one cannot help but marvel at the "air-raising" implications for both air quality and property management.
Our study aims to shed light on the potential association between air quality in Fort Wayne and the number of property association managers in Indiana. By casting our net wider and deeper through extensive data collection and rigorous statistical analysis, we endeavor to unearth the "aerodynamics" of this relationship. Our investigation will consider a variety of air quality indicators, including air pollutant concentrations and particulate matter levels, alongside the employment patterns of property association managers across different regions of Indiana.
As we delve into this intersection of air quality and property management, it becomes apparent that the findings may not just be of academic interest but could also have practical implications for policymakers and industry professionals. The "wind of change" blowing through the property management sector may be influenced by factors beyond traditional economic variables, giving a whole new meaning to the phrase "airing out the issues."
Through these endeavors, we aim to contribute not only to the scholarly discourse on environmental economics and public health but also to provoke a few chuckles and appreciative groans from our fellow researchers along the way. After all, who says academic research can't be a breath of "fresh air"?

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
The data for air quality in Fort Wayne was obtained from the Environmental Protection Agency's Air Quality System database, which monitors air pollution levels across the United States. The data included measurements of various air pollutants such as ozone, particulate matter, carbon monoxide, sulfur dioxide, and nitrogen dioxide. These pollutants were chosen based on their established impact on respiratory health and their potential association with property management trends. Our research team sifted through this data like a discerning connoisseur of atmospheric compositions, seeking the perfect blend of variables.

As for the number of property association managers in Indiana, the Bureau of Labor Statistics provided employment data across different regions of the state from 2003 to 2022. This data collection involved sifting through numerous employment categories to identify those specifically related to property association management. One might say it was akin to a treasure hunt among the statistics, searching for the elusive gems of property management employment figures.

Data Analysis:
To scrutinize the relationship between air quality and property management, we employed a combination of statistical methods. One such method was the calculation of correlation coefficients to quantify the strength and direction of the relationship between air quality indicators and the employment levels of property association managers. We also employed time-series analysis to discern any temporal patterns in air quality and property management data. Our statistical toolbox was wielded with precision and finesse, much like a scientist wielding a sophisticated instrument to uncover hidden truths in the data.

In addition, we utilized regression analysis to model the influence of air quality on the employment levels of property association managers while controlling for potential confounding variables. This allowed us to isolate the specific impact of air quality on property management trends, separating the signal from the noise in the data. The process of untangling these complex relationships was akin to solving a puzzle where the pieces were statistical parameters, and the picture that emerged revealed the interplay between air quality and property management in Indiana.

Ethical Considerations:
Our research adhered to ethical guidelines in data collection and analysis, ensuring the privacy and confidentiality of individuals represented in the employment data. Moreover, we sought to present the findings in a manner that accurately reflected the nuances and uncertainties inherent in statistical analyses. Our commitment to ethical conduct in research was unwavering, much like the steadiness of a well-calibrated scientific instrument.

Limitations:
While every effort was made to rigorously analyze the data, our study is not without limitations. The observational nature of the data limits our ability to establish causal relationships between air quality and property management trends. Furthermore, the specificity of the property association manager employment category may not capture all facets of the property management industry in Indiana. These limitations are an integral part of any study, much like a stubborn stain on the otherwise pristine fabric of research.

In the grand scheme of scientific exploration, our methodology exemplifies the convergence of methodical inquiry and a sprinkle of academic levity, seeking not only to advance knowledge but also to tickle the intellectual palate. For, after all, what is research without a bit of "air-appropriate" humor?


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

Please make up the results section of an academic research paper presenting the findings of the connection between Air quality in Fort Wayne and The number of property association managers in Indiana. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

For the time period 2003 to 2022, you found a correlation 0.8700192, r-squared of 0.7569333, 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]]
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

[[ABSTRACT]]
Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.

Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.

In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The relationship between air quality and human health has been extensively studied, but the potential impact of air quality on economic sectors such as property management has received less attention. Air quality is a multifaceted issue, influenced by a complex array of natural and anthropogenic factors. Similarly, the property management industry encompasses diverse responsibilities, from overseeing maintenance to managing finances for residential and commercial properties. These seemingly distinct domains intersect in the context of environmental and occupational health. One might say we are embarking on a "breath-taking" journey into uncharted territory, where science meets property management.
In the realm of air quality, Fort Wayne, Indiana, serves as a pertinent case study due to its unique environmental characteristics and socioeconomic dynamics. The city's air quality is subject to influences from industrial activities, traffic emissions, and natural sources. Meanwhile, the property management industry in Indiana faces its own set of challenges and opportunities in maintaining residential and commercial properties. As we tease apart the threads of this intriguing correlation, one cannot help but marvel at the "air-raising" implications for both air quality and property management.
Our study aims to shed light on the potential association between air quality in Fort Wayne and the number of property association managers in Indiana. By casting our net wider and deeper through extensive data collection and rigorous statistical analysis, we endeavor to unearth the "aerodynamics" of this relationship. Our investigation will consider a variety of air quality indicators, including air pollutant concentrations and particulate matter levels, alongside the employment patterns of property association managers across different regions of Indiana.
As we delve into this intersection of air quality and property management, it becomes apparent that the findings may not just be of academic interest but could also have practical implications for policymakers and industry professionals. The "wind of change" blowing through the property management sector may be influenced by factors beyond traditional economic variables, giving a whole new meaning to the phrase "airing out the issues."
Through these endeavors, we aim to contribute not only to the scholarly discourse on environmental economics and public health but also to provoke a few chuckles and appreciative groans from our fellow researchers along the way. After all, who says academic research can't be a breath of "fresh air"?

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis revealed a strong positive correlation of 0.8700192 between air quality in Fort Wayne and the number of property association managers in Indiana from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improved, there was a noticeable increase in the employment of property association managers in Indiana. It seems that when it comes to property management, "air to the throne" is no longer a necessity, as better air quality leads to a rise in the number of property association managers!

The r-squared value of 0.7569333 indicates that approximately 75.69% of the variability in the employment of property association managers can be explained by changes in air quality in Fort Wayne. This high r-squared value underscores the robustness of the relationship between air quality and the employment levels of property association managers.

In other words, the employment of property association managers seems to be "air-resistibly" linked to air quality in Fort Wayne, with improvements in air quality associated with an increase in employment levels. It appears that the property management industry not only helps individuals navigate the maze of property regulations, but it also responds dynamically to changes in environmental conditions.

The results are visually represented in Figure 1, which illustrates the clear and discernible correlation between air quality in Fort Wayne and the number of property association managers in Indiana. The figure provides a compelling visual depiction of the "uplifting" relationship between these two variables, making it clear that the quality of the air indeed has a tangible impact on the dynamics of the property management industry.

This study provides robust evidence of the interplay between environmental factors and economic sectors, establishing a meaningful connection between air quality in Fort Wayne and the employment of property association managers in Indiana. As we unravel the intricate connections between seemingly unrelated variables, it becomes apparent that there is always room for a few lighthearted "air"-related puns in the realm of academic research.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Air quality in Fort Wayne and The number of property association managers in Indiana. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

[[ABSTRACT]]
Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.

Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.

In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!

[[LITERATURE REVIEW]]
Smith et al. (2020) conducted a comprehensive analysis of air quality indices and their implications for various sectors of the economy. The authors find a consistent relationship between improved air quality and increased productivity in industries reliant on outdoor labor. Similarly, Doe and Jones (2018) investigated the impact of environmental factors on employment trends, revealing a noteworthy connection between air pollution levels and workforce dynamics across different regions.
It appears that air quality may not only influence human health and productivity but also extend its reach into the realm of property management. In "Clean Air and Profitability" (2021), Lorem and Ipsum showcase how businesses in areas with better air quality tend to invest more in property maintenance, potentially driving the demand for property association managers.
Turning to non-fiction books related to the topic, "The Air We Breathe: Understanding Air Quality and Its Effects" by John Smith provides an in-depth exploration of air quality and its far-reaching impact. Meanwhile, "Property Management Principles" by William Doe offers insights into the intricacies of property association management. These works lay the groundwork for understanding the interplay between air quality and the property management industry.
In a fictional context, "The Dust of Ages" by Amanda Jones presents a captivating tale set in a post-apocalyptic world where air quality is a matter of life and death, emphasizing the importance of environmental conditions on society and its infrastructure. On a lighter note, "The Air Affair" by Charlotte Doe takes a whimsical approach to property management, intertwining office relationships with the quirks of maintaining buildings.
In the realm of internet culture, the "This Is Fine" meme captures the essence of coping with deteriorating air quality, mirroring the struggles of property managers faced with overwhelming maintenance tasks. On a more uplifting note, the "Change My Mind" meme reflects the idea that improved air quality positively impacts property management employment, as if inviting skeptics to reconsider the correlation.
As evident from the literature and diverse sources explored, the connection between air quality in Fort Wayne and the number of property association managers in Indiana is a multifaceted and potentially transformative phenomenon. The serious research literature provides a foundation, but the infusion of fiction and internet culture adds a layer of richness and humor to our understanding of this peculiar correlation.

[[RESULTS]]
The analysis revealed a strong positive correlation of 0.8700192 between air quality in Fort Wayne and the number of property association managers in Indiana from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improved, there was a noticeable increase in the employment of property association managers in Indiana. It seems that when it comes to property management, "air to the throne" is no longer a necessity, as better air quality leads to a rise in the number of property association managers!
The r-squared value of 0.7569333 indicates that approximately 75.69% of the variability in the employment of property association managers can be explained by changes in air quality in Fort Wayne. This high r-squared value underscores the robustness of the relationship between air quality and the employment levels of property association managers.
In other words, the employment of property association managers seems to be "air-resistibly" linked to air quality in Fort Wayne, with improvements in air quality associated with an increase in employment levels. It appears that the property management industry not only helps individuals navigate the maze of property regulations, but it also responds dynamically to changes in environmental conditions.
The results are visually represented in Figure 1, which illustrates the clear and discernible correlation between air quality in Fort Wayne and the number of property association managers in Indiana. The figure provides a compelling visual depiction of the "uplifting" relationship between these two variables, making it clear that the quality of the air indeed has a tangible impact on the dynamics of the property management industry.
This study provides robust evidence of the interplay between environmental factors and economic sectors, establishing a meaningful connection between air quality in Fort Wayne and the employment of property association managers in Indiana. As we unravel the intricate connections between seemingly unrelated variables, it becomes apparent that there is always room for a few lighthearted "air"-related puns in the realm of academic research.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The findings of this study lend strong support to the existing literature, affirming the notable correlation between air quality in Fort Wayne and the number of property association managers in Indiana. The positive correlation coefficient of 0.8700192 aligns with previous research by Smith et al. (2020) and Doe and Jones (2018), underscoring the pervasive influence of environmental conditions on workforce dynamics and employment trends. It seems that just as fresh air invigorates the body, it breathes new life into the property management industry - a correlation so robust, one might say it's "air-replaceable!"

The robust r-squared value of 0.7569333 further echoes the findings of Lorem and Ipsum (2021), affirming that approximately 75.69% of the variability in property association manager employment can be elucidated by changes in air quality in Fort Wayne. This result emphasizes the substantial impact of air quality on the demand for property association managers, lending empirical weight to the relationship - something to ponder over when one is "air-minded" about property management trends!

The visual representation in Figure 1 not only illustrates the unmistakable correlation between air quality and the employment of property association managers but also brings to light the tangible impact of air quality on the dynamics of the property management industry. It's as if the data itself is saying, "Don't take this relationship for 'air-granted'!" The visual depiction vividly encapsulates the essence of this study, providing a compelling snapshot of the interconnectedness between air quality and property management employment.

The multifaceted nature of this correlation, as illuminated by the literature review, takes on a concrete form in our research findings. From the serious research literature to the whimsical themes in "The Air Affair" by Charlotte Doe, it is evident that the connection between air quality in Fort Wayne and the employment of property association managers in Indiana is a complex and potentially transformative phenomenon. As we navigate this labyrinth of connection, one might find that the data is "air-ily" whispering the not-so-hidden relationship between air quality in Fort Wayne and the employment of property association managers.

In conclusion, this study not only contributes to the growing body of research on the impact of environmental factors on economic sectors but also adds a touch of whimsy to the dialogue, crafting an "air-tight" case for the interplay between air quality in Fort Wayne and the employment of property association managers in Indiana. The stark correlation observed prompts us to consider the invisible but palpable threads that tie together seemingly disparate variables, reinforcing the notion that there is always "air-y" room for a bit of lighthearted punnery in the realm of academic inquiry.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Air quality in Fort Wayne and The number of property association managers in Indiana. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana

[[ABSTRACT]]
Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.

Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.

In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!

[[INTRDUCTION]]
The relationship between air quality and human health has been extensively studied, but the potential impact of air quality on economic sectors such as property management has received less attention. Air quality is a multifaceted issue, influenced by a complex array of natural and anthropogenic factors. Similarly, the property management industry encompasses diverse responsibilities, from overseeing maintenance to managing finances for residential and commercial properties. These seemingly distinct domains intersect in the context of environmental and occupational health. One might say we are embarking on a "breath-taking" journey into uncharted territory, where science meets property management.
In the realm of air quality, Fort Wayne, Indiana, serves as a pertinent case study due to its unique environmental characteristics and socioeconomic dynamics. The city's air quality is subject to influences from industrial activities, traffic emissions, and natural sources. Meanwhile, the property management industry in Indiana faces its own set of challenges and opportunities in maintaining residential and commercial properties. As we tease apart the threads of this intriguing correlation, one cannot help but marvel at the "air-raising" implications for both air quality and property management.
Our study aims to shed light on the potential association between air quality in Fort Wayne and the number of property association managers in Indiana. By casting our net wider and deeper through extensive data collection and rigorous statistical analysis, we endeavor to unearth the "aerodynamics" of this relationship. Our investigation will consider a variety of air quality indicators, including air pollutant concentrations and particulate matter levels, alongside the employment patterns of property association managers across different regions of Indiana.
As we delve into this intersection of air quality and property management, it becomes apparent that the findings may not just be of academic interest but could also have practical implications for policymakers and industry professionals. The "wind of change" blowing through the property management sector may be influenced by factors beyond traditional economic variables, giving a whole new meaning to the phrase "airing out the issues."
Through these endeavors, we aim to contribute not only to the scholarly discourse on environmental economics and public health but also to provoke a few chuckles and appreciative groans from our fellow researchers along the way. After all, who says academic research can't be a breath of "fresh air"?

[[RESULTS]]
The analysis revealed a strong positive correlation of 0.8700192 between air quality in Fort Wayne and the number of property association managers in Indiana from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improved, there was a noticeable increase in the employment of property association managers in Indiana. It seems that when it comes to property management, "air to the throne" is no longer a necessity, as better air quality leads to a rise in the number of property association managers!
The r-squared value of 0.7569333 indicates that approximately 75.69% of the variability in the employment of property association managers can be explained by changes in air quality in Fort Wayne. This high r-squared value underscores the robustness of the relationship between air quality and the employment levels of property association managers.
In other words, the employment of property association managers seems to be "air-resistibly" linked to air quality in Fort Wayne, with improvements in air quality associated with an increase in employment levels. It appears that the property management industry not only helps individuals navigate the maze of property regulations, but it also responds dynamically to changes in environmental conditions.
The results are visually represented in Figure 1, which illustrates the clear and discernible correlation between air quality in Fort Wayne and the number of property association managers in Indiana. The figure provides a compelling visual depiction of the "uplifting" relationship between these two variables, making it clear that the quality of the air indeed has a tangible impact on the dynamics of the property management industry.
This study provides robust evidence of the interplay between environmental factors and economic sectors, establishing a meaningful connection between air quality in Fort Wayne and the employment of property association managers in Indiana. As we unravel the intricate connections between seemingly unrelated variables, it becomes apparent that there is always room for a few lighthearted "air"-related puns in the realm of academic research.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has unearthed a significant correlation between air quality in Fort Wayne and the number of property association managers in Indiana, shedding light on the interplay between environmental factors and economic dynamics. Our findings suggest that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana. In other words, it seems that "cleaner air" isn't just about breathing easier; it's also about property management blooming like a well-tended garden.

The robust statistical analyses point to a compelling relationship between these two variables, emphasizing that the employment of property association managers is "air-resistibly" linked to the air quality in Fort Wayne. The high r-squared value of 0.7569333 further reinforces the notion that changes in air quality explain approximately 75.69% of the variability in the employment of property association managers. One might say that the winds of change blowing through the property management sector are picking up speed alongside the improvement in air quality.

It is clear that this research unearths the "aerodynamics" of the relationship between air quality and property management, providing a "breathtaking" perspective on the influence of environmental conditions on economic sectors. Figure 1 visually illustrates the "uplifting" correlation between air quality in Fort Wayne and the number of property association managers in Indiana, reinforcing the tangible impact of air quality on the dynamics of the property management industry. It seems that when it comes to property management, a breath of fresh air can truly work wonders.

Given the compelling evidence and the countless "air"-related puns we've managed to slip in, it seems that no further research is needed in this area. After all, when it comes to the connection between air quality and the employment of property association managers, our findings have truly taken this field to new heights.


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 Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Ecological Economics and Urban Planning


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 Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Environmental Wellness and Community Development


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 Airfare and Property Care: The Correlation Between Air Quality in Fort Wayne and the Number of Property Association Managers in Indiana with an abstract of Air quality is an important factor affecting the well-being of communities, but could it also have an impact on the property management industry? This paper delves into the curious connection between the air quality in Fort Wayne and the number of property association managers in Indiana. Using data from the Environmental Protection Agency and the Bureau of Labor Statistics, this study examines the correlation between air quality measurements and the employment levels of property association managers.
Our research team discovered a strong correlation coefficient of 0.8700192 (p < 0.01) between air quality and the number of property association managers from 2003 to 2022. This finding suggests that as the air quality in Fort Wayne improves, there is a noticeable increase in the employment of property association managers in Indiana.
In other words, it seems that "cleaner air" is not just a metaphor for a breath of fresh air in the property management industry but also reflects the actual employment trends. One might say that, when it comes to property management, there's no need for "air to the throne" because better air quality leads to more property association managers!

ChatGPT:

Air quality, property association managers, Fort Wayne air quality, Indiana property management industry, correlation between air quality and employment, Environmental Protection Agency data, Bureau of Labor Statistics data, air quality measurements and property management employment, clean air impact on property association managers

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



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Data details

Air quality in Fort Wayne
Detailed data title: Percentage of days with good air quality in Fort Wayne, IN
Source: Environmental Protection Agency
See what else correlates with Air quality in Fort Wayne

The number of property association managers in Indiana
Detailed data title: BLS estimate of property, real estate, and community association managers in Indiana
Source: Bureau of Larbor Statistics
See what else correlates with The number of property association managers in Indiana

Correlation r = 0.8700192 (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 = 0.7569333 (Coefficient of determination)
This means 75.7% of the change in the one variable (i.e., The number of property association managers in Indiana) is predictable based on the change in the other (i.e., Air quality in Fort Wayne) over the 20 years from 2003 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 6.2E-7. 0.0000006216361219561684000000
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 0.87 in 6.2E-5% of random cases. Said differently, if you correlated 1,608,658 random variables You don't actually need 1 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.

[ 0.7, 0.95 ] 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
Air quality in Fort Wayne (Good air quality)54.246665.84745.205553.972640.821937.569136.712335.342548.626433.879857.260350.958960.27469.945470.684966.575364.657569.672170.684975.0685
The number of property association managers in Indiana (Laborers)29702780263020801620169018102100246027602900303034103710407037203870368042204120




Why this works

  1. Data dredging: I have 25,237 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 636,906,169 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([54.2466,65.847,45.2055,53.9726,40.8219,37.5691,36.7123,35.3425,48.6264,33.8798,57.2603,50.9589,60.274,69.9454,70.6849,66.5753,64.6575,69.6721,70.6849,75.0685,])
array_2 = np.array([2970,2780,2630,2080,1620,1690,1810,2100,2460,2760,2900,3030,3410,3710,4070,3720,3870,3680,4220,4120,])
array_1_name = "Air quality in Fort Wayne"
array_2_name = "The number of property association managers in Indiana"

# 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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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."

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Correlation ID: 5579 · Black Variable ID: 20647 · Red Variable ID: 7576
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