about · email me · subscribe
Spurious correlation #2,253 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Air pollution in El Paso and the second variable is The number of broadcast technicians in Texas.  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 air became cleaner in El Paso, it created a bizarre chain reaction in the atmosphere. This unusual weather phenomenon, which I like to call the "lens effect," actually caused a slight bending of light and radio waves in the region. The end result? Broadcast signals were subtly redirected, leading to a wave of confusion in the field of broadcast technology. It seems that as the pollution cleared, so did the career paths of these technicians – talk about an unexpected twist in the air!

Model: dalle-3
Prompt: Create a monochrome newspaper-style illustration of a bustling street in El Paso, where a team of broadcast technicians are laboring to set up their equipment. The grimy, smog-choked sky hangs heavily over the scene, infusing the atmosphere with an air of urgency and resilience. The technicians, adorned with face masks, are depicted in meticulous detail as they tackle their tasks with unwavering focus, emphasizing the determination against the adversity of the unhealthy air quality. 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: Unhealthy air quality in El Paso and The number of broadcast technicians in Texas. 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: Vaporwave A black-and-white newspaper illustration A scene from Skyrim An image that looks like it is a scene from a Pixar movie A photo-realistic image
ChatGPT: A black-and-white newspaper illustration

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 Unhealthy air quality in El Paso and The number of broadcast technicians in Texas together. Keep the description simple.
ChatGPT: In El Paso, a group of broadcast technicians are setting up their equipment outdoors, wearing face masks due to the unhealthy air quality. The sky is hazy with smog, and the technicians are working diligently amidst the air pollution.

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 black-and-white newspaper illustration ] and depicting this scene: In El Paso, a group of broadcast technicians are setting up their equipment outdoors, wearing face masks due to the unhealthy air quality. The sky is hazy with smog, and the technicians are working diligently amidst the air pollution. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Create a monochrome newspaper-style illustration of a bustling street in El Paso, where a team of broadcast technicians are laboring to set up their equipment. The grimy, smog-choked sky hangs heavily over the scene, infusing the atmosphere with an air of urgency and resilience. The technicians, adorned with face masks, are depicted in meticulous detail as they tackle their tasks with unwavering focus, emphasizing the determination against the adversity of the unhealthy air quality.

*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 a decrease in Air pollution in El Paso caused The number of broadcast technicians in Texas to decrease. Make it feel plausible.

AI academic paper

(Because p < 0.01)
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

The Journal of Environmental Anomalies and Statistical Oddities

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 pollution in El Paso and The number of broadcast technicians in Texas. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Include a pun 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 0.8364028 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]]
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

[[ABSTRACT]]
This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.

Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.

It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!


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 pollution in El Paso and The number of broadcast technicians in Texas. 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]]
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

[[ABSTRACT]]
This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.

Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.

It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The pursuit of knowledge often leads us to unexpected and sometimes whimsical discoveries, and our investigation into the relationship between air pollution in El Paso and the number of broadcast technicians in Texas is no exception. In the realm of science, where correlation does not imply causation, we find ourselves on a quest to unravel the hidden threads connecting seemingly disparate variables. Although the task may seem daunting, we are ready to unearth the secrets that lie within this intriguing association.

As we delve into the world of statistics and relationships, it's crucial to remember that sometimes the most surprising connections can be found. Speaking of connections, did you hear about the statistician who drowned in a river with an average depth of 6 inches? It just goes to show that mean values can be misleading!

The notion of air pollution could bring to mind a breath of fresh air, but for El Paso, it has been a persistent issue. Meanwhile, the world of broadcast technicians involves navigating airwaves of a different kind, aiming to deliver crisp and clear signals to audiences far and wide. It's almost as if the air in El Paso is tuning into a different frequency altogether!

Through the lens of data analysis, we endeavor to uncover the potential mechanisms underlying this unexpected correlation. Could it be that the particles suspended in the air are carrying more than just pollution? Perhaps they are also carrying subtle signals that influence the demand for broadcast technicians in the vast expanse of Texas.

As we embark on this scientific journey, we are reminded of the wise words of Nobel laureate Niels Bohr: "Prediction is very difficult, especially if it's about the future." In the realm of research, the unexpected discoveries often prove to be the most enlightening. Much like a technician meticulously adjusting the dials of a broadcast station, we are poised to tune in to the nuances of this unorthodox relationship and decode its implications.

Stay tuned for the unveiling of our findings, and remember to keep an ear out for the unexpected – much like picking up a faint signal on an old-fashioned radio, the most fascinating discoveries often emerge from amidst the static.


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 pollution in El Paso and The number of broadcast technicians in Texas. 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 devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading CVS receipts.

Here is the title and abstract of the paper:
[[TITLE]]
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

[[ABSTRACT]]
This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.

Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.

It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The pursuit of knowledge often leads us to unexpected and sometimes whimsical discoveries, and our investigation into the relationship between air pollution in El Paso and the number of broadcast technicians in Texas is no exception. In the realm of science, where correlation does not imply causation, we find ourselves on a quest to unravel the hidden threads connecting seemingly disparate variables. Although the task may seem daunting, we are ready to unearth the secrets that lie within this intriguing association.
As we delve into the world of statistics and relationships, it's crucial to remember that sometimes the most surprising connections can be found. Speaking of connections, did you hear about the statistician who drowned in a river with an average depth of 6 inches? It just goes to show that mean values can be misleading!
The notion of air pollution could bring to mind a breath of fresh air, but for El Paso, it has been a persistent issue. Meanwhile, the world of broadcast technicians involves navigating airwaves of a different kind, aiming to deliver crisp and clear signals to audiences far and wide. It's almost as if the air in El Paso is tuning into a different frequency altogether!
Through the lens of data analysis, we endeavor to uncover the potential mechanisms underlying this unexpected correlation. Could it be that the particles suspended in the air are carrying more than just pollution? Perhaps they are also carrying subtle signals that influence the demand for broadcast technicians in the vast expanse of Texas.
As we embark on this scientific journey, we are reminded of the wise words of Nobel laureate Niels Bohr: "Prediction is very difficult, especially if it's about the future." In the realm of research, the unexpected discoveries often prove to be the most enlightening. Much like a technician meticulously adjusting the dials of a broadcast station, we are poised to tune in to the nuances of this unorthodox relationship and decode its implications.
Stay tuned for the unveiling of our findings, and remember to keep an ear out for the unexpected – much like picking up a faint signal on an old-fashioned radio, the most fascinating discoveries often emerge from amidst the static.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The study of the relationship between air pollution and employment trends in specific occupational sectors has attracted the attention of researchers in various fields. In "Smith et al. (2015)," the authors find a positive correlation between ambient air pollution levels and the incidence of respiratory diseases in urban populations. Furthermore, "Doe and Jones (2018)" delve into the economic ramifications of air quality deterioration, emphasizing the potential impact on labor market dynamics. The confluence of these factors sets the stage for our examination of the unexpected link between air pollution in El Paso and the number of broadcast technicians in Texas.

As we traverse the landscape of literature, it becomes clear that the interplay between atmospheric conditions and professional domains is more intricate than meets the eye. The intersection of environmental health and employment trends exemplifies the multidisciplinary nature of our investigation. It's almost as if the job market and air quality are engaged in a delicate dance, much like a synchronous broadcast transmission. Speaking of transmission, do you know why the broadcast technician brought a ladder to work? Because they wanted to reach new heights in their career!

Beyond scholarly articles and empirical studies, insights from non-fiction works such as "The Air We Breathe" by Andrea Barrett and "Polluted and Polluting" by Akhil Gupta highlight the profound impact of pollution on society and human livelihoods. These scholarly and literary explorations echo the intricate web of relationships that underpins our endeavor.

In the realm of fiction, the thematic resonance of air pollution and occupational pursuits is evident in titles such as "The Smoke" by Nigel Balchin and "The Broadcast" by Liam O'Flaherty. This juxtaposition of reality and imagination serves to underscore the intertwined nature of environmental factors and professional vocations. It's almost as if the characters in these fictional worlds are tuning in to the same frequencies of employment uncertainty and pollution predicaments!

Expanding our purview to unconventional sources, we find inspiration in unexpected places. By perusing grocery store receipts and scouring through ancient tomes of esoteric wisdom, we've endeavored to capture a holistic understanding of the interplay between atmospheric quality and occupational fluctuations. In this pursuit, we embrace the spirit of exploration and whimsy, recognizing that even the most unconventional sources may hold hidden insights. After all, one must be open to unexpected channels of knowledge - just like tuning into different radio frequencies to catch snippets of valuable information.

Through this eclectic examination of literature, we aim to infuse our analysis with a diverse array of perspectives and sources, elevating our quest to unravel the enigmatic correlation between air pollution in El Paso and the occupation of broadcast technicians in Texas. After all, much like a broadcast technician adjusting the antenna for optimal reception, our scholarly inquiry seeks to fine-tune our understanding of this intriguing relationship.


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 pollution in El Paso and The number of broadcast technicians in Texas. 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]]
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

[[ABSTRACT]]
This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.

Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.

It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!

[[INTRODUCTION]]
The pursuit of knowledge often leads us to unexpected and sometimes whimsical discoveries, and our investigation into the relationship between air pollution in El Paso and the number of broadcast technicians in Texas is no exception. In the realm of science, where correlation does not imply causation, we find ourselves on a quest to unravel the hidden threads connecting seemingly disparate variables. Although the task may seem daunting, we are ready to unearth the secrets that lie within this intriguing association.
As we delve into the world of statistics and relationships, it's crucial to remember that sometimes the most surprising connections can be found. Speaking of connections, did you hear about the statistician who drowned in a river with an average depth of 6 inches? It just goes to show that mean values can be misleading!
The notion of air pollution could bring to mind a breath of fresh air, but for El Paso, it has been a persistent issue. Meanwhile, the world of broadcast technicians involves navigating airwaves of a different kind, aiming to deliver crisp and clear signals to audiences far and wide. It's almost as if the air in El Paso is tuning into a different frequency altogether!
Through the lens of data analysis, we endeavor to uncover the potential mechanisms underlying this unexpected correlation. Could it be that the particles suspended in the air are carrying more than just pollution? Perhaps they are also carrying subtle signals that influence the demand for broadcast technicians in the vast expanse of Texas.
As we embark on this scientific journey, we are reminded of the wise words of Nobel laureate Niels Bohr: "Prediction is very difficult, especially if it's about the future." In the realm of research, the unexpected discoveries often prove to be the most enlightening. Much like a technician meticulously adjusting the dials of a broadcast station, we are poised to tune in to the nuances of this unorthodox relationship and decode its implications.
Stay tuned for the unveiling of our findings, and remember to keep an ear out for the unexpected – much like picking up a faint signal on an old-fashioned radio, the most fascinating discoveries often emerge from amidst the static.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
The data for this study were obtained from the Environmental Protection Agency and the Bureau of Labor Statistics, setting the stage for an unlikely connection between the atmospheric conditions in El Paso and the occupational landscape for broadcast technicians across Texas. This choice of data sources was crucial to ensure the veracity and comprehensiveness of the information gathered. It’s almost like tuning in to different channels to gather the data – one channel for air quality and another for employment statistics. Speaking of channels, did you hear about the statistician who got hit by a car while crossing the street? He was calculating his chances of survival with the Bayes theorem.

Air Pollution Measurement:
To quantify air pollution levels in El Paso, various atmospheric parameters were considered, including levels of particulate matter (PM2.5 and PM10), nitrogen dioxide (NO2), sulfur dioxide (SO2), carbon monoxide (CO), and ozone (O3). These measurements provide a multi-dimensional view of the air quality in the region, akin to examining all the colors in the spectrum to understand the true nature of the correlation. It's almost like studying the atmosphere's own version of a broadcast spectrum, where each pollutant acts as a different frequency influencing the employment patterns.

Broadcast Technician Employment Data:
The employment data for broadcast technicians in Texas were carefully culled from the Bureau of Labor Statistics, covering the period from 2003 to 2022. This comprehensive timeframe allowed for the examination of long-term trends and fluctuations in employment levels, giving us a complete picture of the ebb and flow of demand for broadcast technicians. It's almost like adjusting the knobs on an old radio to tune into different time periods of employment trends. Speaking of old radios, did you hear about the scientist who accidentally swallowed a tiny radio? He conducted an experiment to see if he could pick up any signals from within.

Statistical Analysis:
The statistical analyses involved in this study encompassed correlation coefficient calculations, multiple regression modeling, and time series analyses to thoroughly explore the relationship between air pollution levels in El Paso and broadcast technician employment in Texas. These analyses were pivotal in unveiling the underlying patterns and dynamics of this unexpected connection, much like deciphering the intricate interplay between various frequencies in a broadcasting system. It's almost like finding the sweet spot on the dial to lock into the correlation. Speaking of sweet spots, did you hear about the statistician who was appointed as the baseball team's coach? He always knew how to bring the mean home.

Data Integration and Interpretation:
The integration of air pollution data with broadcast technician employment figures allowed for a holistic understanding of the relationship between these seemingly disparate variables. By combining these datasets, it was possible to discern the interplay of environmental factors and labor market dynamics, revealing a correlation that was as clear as a well-tuned broadcast signal. It's almost like creating a harmonious symphony out of seemingly dissonant pieces of data. Speaking of symphonies, did you hear about the statistician who became a conductor? He knew how to orchestrate the perfect regression analysis.

Limitations:
While this study provides valuable insights into the correlation between air pollution in El Paso and the number of broadcast technicians in Texas, it is important to acknowledge the inherent limitations of observational data. Causality cannot be conclusively established, and other unobserved factors may influence the relationship explored in this study. Despite these limitations, our findings contribute to the growing body of knowledge on the interplay between environmental factors and labor market trends, opening up avenues for further research and inquiry. It's almost like trying to distinguish between causation and correlation – a statistical dilemma akin to differentiating between two identical radio frequencies. Speaking of frequencies, did you hear about the statistician who took up singing lessons? He was determined to hit all the right notes when it came to statistical analyses.


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 pollution in El Paso and The number of broadcast technicians in Texas. 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 0.8364028, r-squared of 0.6995696, 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]]
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

[[ABSTRACT]]
This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.

Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.

It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The pursuit of knowledge often leads us to unexpected and sometimes whimsical discoveries, and our investigation into the relationship between air pollution in El Paso and the number of broadcast technicians in Texas is no exception. In the realm of science, where correlation does not imply causation, we find ourselves on a quest to unravel the hidden threads connecting seemingly disparate variables. Although the task may seem daunting, we are ready to unearth the secrets that lie within this intriguing association.
As we delve into the world of statistics and relationships, it's crucial to remember that sometimes the most surprising connections can be found. Speaking of connections, did you hear about the statistician who drowned in a river with an average depth of 6 inches? It just goes to show that mean values can be misleading!
The notion of air pollution could bring to mind a breath of fresh air, but for El Paso, it has been a persistent issue. Meanwhile, the world of broadcast technicians involves navigating airwaves of a different kind, aiming to deliver crisp and clear signals to audiences far and wide. It's almost as if the air in El Paso is tuning into a different frequency altogether!
Through the lens of data analysis, we endeavor to uncover the potential mechanisms underlying this unexpected correlation. Could it be that the particles suspended in the air are carrying more than just pollution? Perhaps they are also carrying subtle signals that influence the demand for broadcast technicians in the vast expanse of Texas.
As we embark on this scientific journey, we are reminded of the wise words of Nobel laureate Niels Bohr: "Prediction is very difficult, especially if it's about the future." In the realm of research, the unexpected discoveries often prove to be the most enlightening. Much like a technician meticulously adjusting the dials of a broadcast station, we are poised to tune in to the nuances of this unorthodox relationship and decode its implications.
Stay tuned for the unveiling of our findings, and remember to keep an ear out for the unexpected – much like picking up a faint signal on an old-fashioned radio, the most fascinating discoveries often emerge from amidst the static.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the data spanning from 2003 to 2022 revealed a striking correlation coefficient of 0.8364028 between air pollution levels in El Paso and the employment numbers of broadcast technicians in Texas. This correlation was accompanied by a notable r-squared value of 0.6995696, and the statistical significance was confirmed with a p-value of less than 0.01.

Our findings suggest that as the winds of air quality in El Paso shifted, so did the fortunes of broadcast technicians across the vast expanse of Texas. It appears that the ebb and flow of air pollution levels may have been shaping the labor market for broadcast technicians all along, like an unseen hand guiding the fluctuations of employment in this field.

Fig. 1 portrays the strong correlation between air pollution levels in El Paso and the number of broadcast technicians in Texas. This scatterplot serves as a visual testament to the robust association uncovered in our analysis, demonstrating the synchronous rise and fall of these seemingly disparate variables.

It seems that when it comes to the employment of broadcast technicians, the air in El Paso may have been broadcasting its signals across the expanse of Texas all along. Who knew that the winds of change could play such a significant role in the job market for broadcast technicians?

Our study contributes to the growing body of research that unearths unexpected relationships in the intricate web of societal and environmental factors. It invites further exploration into the mechanisms underlying this correlation and highlights the importance of considering seemingly unrelated variables in labor market dynamics. After all, in the world of statistics and research, uncovering hidden connections is often a breath of fresh air... or in this case, a breath of El Paso's 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 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 pollution in El Paso and The number of broadcast technicians in Texas. 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]]
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

[[ABSTRACT]]
This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.

Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.

It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!

[[LITERATURE REVIEW]]
The study of the relationship between air pollution and employment trends in specific occupational sectors has attracted the attention of researchers in various fields. In "Smith et al. (2015)," the authors find a positive correlation between ambient air pollution levels and the incidence of respiratory diseases in urban populations. Furthermore, "Doe and Jones (2018)" delve into the economic ramifications of air quality deterioration, emphasizing the potential impact on labor market dynamics. The confluence of these factors sets the stage for our examination of the unexpected link between air pollution in El Paso and the number of broadcast technicians in Texas.
As we traverse the landscape of literature, it becomes clear that the interplay between atmospheric conditions and professional domains is more intricate than meets the eye. The intersection of environmental health and employment trends exemplifies the multidisciplinary nature of our investigation. It's almost as if the job market and air quality are engaged in a delicate dance, much like a synchronous broadcast transmission. Speaking of transmission, do you know why the broadcast technician brought a ladder to work? Because they wanted to reach new heights in their career!
Beyond scholarly articles and empirical studies, insights from non-fiction works such as "The Air We Breathe" by Andrea Barrett and "Polluted and Polluting" by Akhil Gupta highlight the profound impact of pollution on society and human livelihoods. These scholarly and literary explorations echo the intricate web of relationships that underpins our endeavor.
In the realm of fiction, the thematic resonance of air pollution and occupational pursuits is evident in titles such as "The Smoke" by Nigel Balchin and "The Broadcast" by Liam O'Flaherty. This juxtaposition of reality and imagination serves to underscore the intertwined nature of environmental factors and professional vocations. It's almost as if the characters in these fictional worlds are tuning in to the same frequencies of employment uncertainty and pollution predicaments!
Expanding our purview to unconventional sources, we find inspiration in unexpected places. By perusing grocery store receipts and scouring through ancient tomes of esoteric wisdom, we've endeavored to capture a holistic understanding of the interplay between atmospheric quality and occupational fluctuations. In this pursuit, we embrace the spirit of exploration and whimsy, recognizing that even the most unconventional sources may hold hidden insights. After all, one must be open to unexpected channels of knowledge - just like tuning into different radio frequencies to catch snippets of valuable information.
Through this eclectic examination of literature, we aim to infuse our analysis with a diverse array of perspectives and sources, elevating our quest to unravel the enigmatic correlation between air pollution in El Paso and the occupation of broadcast technicians in Texas. After all, much like a broadcast technician adjusting the antenna for optimal reception, our scholarly inquiry seeks to fine-tune our understanding of this intriguing relationship.

[[RESULTS]]
The analysis of the data spanning from 2003 to 2022 revealed a striking correlation coefficient of 0.8364028 between air pollution levels in El Paso and the employment numbers of broadcast technicians in Texas. This correlation was accompanied by a notable r-squared value of 0.6995696, and the statistical significance was confirmed with a p-value of less than 0.01.
Our findings suggest that as the winds of air quality in El Paso shifted, so did the fortunes of broadcast technicians across the vast expanse of Texas. It appears that the ebb and flow of air pollution levels may have been shaping the labor market for broadcast technicians all along, like an unseen hand guiding the fluctuations of employment in this field.
Fig. 1 portrays the strong correlation between air pollution levels in El Paso and the number of broadcast technicians in Texas. This scatterplot serves as a visual testament to the robust association uncovered in our analysis, demonstrating the synchronous rise and fall of these seemingly disparate variables.
It seems that when it comes to the employment of broadcast technicians, the air in El Paso may have been broadcasting its signals across the expanse of Texas all along. Who knew that the winds of change could play such a significant role in the job market for broadcast technicians?
Our study contributes to the growing body of research that unearths unexpected relationships in the intricate web of societal and environmental factors. It invites further exploration into the mechanisms underlying this correlation and highlights the importance of considering seemingly unrelated variables in labor market dynamics. After all, in the world of statistics and research, uncovering hidden connections is often a breath of fresh air... or in this case, a breath of El Paso's air.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study not only corroborate but also extend the existing body of knowledge regarding the interplay between environmental factors and employment dynamics. The robust correlation coefficient of 0.8364028 serves as a resounding affirmation of the intricate relationship between air pollution levels in El Paso and the number of broadcast technicians in Texas. This finding aligns with the work of Smith et al. (2015), who established the influence of environmental conditions on human well-being. One might say that our study has certainly broadcasted the significance of air quality on occupational trends with crystal-clear clarity.

The statistically significant results (p < 0.01) further fortify our understanding of this unanticipated connection. The resonance of our findings with the economic implications of air quality deterioration, as highlighted by Doe and Jones (2018), underscores the broader ramifications of environmental factors on labor market dynamics. It appears that the air in El Paso has been silently shaping the occupational landscape for broadcast technicians, almost like a subtle whisper carried by the wind.

Our study also sheds light on the multidisciplinary nature of our inquiry, echoing the literary insights from "The Air We Breathe" by Andrea Barrett and "Polluted and Polluting" by Akhil Gupta. The metaphorical harmony between environmental pollution and occupational pursuits, as depicted in "The Broadcast" by Liam O'Flaherty, seems to have found a tangible manifestation in our empirical analysis. It's almost as if the characters in these literary works were privy to the same occupational fluctuations as our broadcast technicians – talk about tuning into a parallel narrative!

The unexpected connection between air pollution in El Paso and the number of broadcast technicians in Texas underscores the intricate web of relationships that underpins labor market dynamics. It seems that the job market and environmental factors are engaged in an elaborate dance, much like broadcast transmissions synchronized to an unseen rhythm. One might say that our findings have certainly "aired" out the complexities of this relationship!

In conclusion, our study not only affirms the surprising correlation between air quality and employment trends but also sets the stage for continued exploration into the underlying mechanisms driving this association. Our findings beckon researchers and policymakers alike to consider the potential ripple effects of environmental conditions on diverse occupational domains. After all, when it comes to unraveling unexpected correlations, a keen eye and an open mind are essential – much like adjusting the antennas for optimal reception in the ever-changing landscape of statistical exploration.


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 pollution in El Paso and The number of broadcast technicians in Texas. 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]]
Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas

[[ABSTRACT]]
This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.

Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.

It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!

[[INTRDUCTION]]
The pursuit of knowledge often leads us to unexpected and sometimes whimsical discoveries, and our investigation into the relationship between air pollution in El Paso and the number of broadcast technicians in Texas is no exception. In the realm of science, where correlation does not imply causation, we find ourselves on a quest to unravel the hidden threads connecting seemingly disparate variables. Although the task may seem daunting, we are ready to unearth the secrets that lie within this intriguing association.
As we delve into the world of statistics and relationships, it's crucial to remember that sometimes the most surprising connections can be found. Speaking of connections, did you hear about the statistician who drowned in a river with an average depth of 6 inches? It just goes to show that mean values can be misleading!
The notion of air pollution could bring to mind a breath of fresh air, but for El Paso, it has been a persistent issue. Meanwhile, the world of broadcast technicians involves navigating airwaves of a different kind, aiming to deliver crisp and clear signals to audiences far and wide. It's almost as if the air in El Paso is tuning into a different frequency altogether!
Through the lens of data analysis, we endeavor to uncover the potential mechanisms underlying this unexpected correlation. Could it be that the particles suspended in the air are carrying more than just pollution? Perhaps they are also carrying subtle signals that influence the demand for broadcast technicians in the vast expanse of Texas.
As we embark on this scientific journey, we are reminded of the wise words of Nobel laureate Niels Bohr: "Prediction is very difficult, especially if it's about the future." In the realm of research, the unexpected discoveries often prove to be the most enlightening. Much like a technician meticulously adjusting the dials of a broadcast station, we are poised to tune in to the nuances of this unorthodox relationship and decode its implications.
Stay tuned for the unveiling of our findings, and remember to keep an ear out for the unexpected – much like picking up a faint signal on an old-fashioned radio, the most fascinating discoveries often emerge from amidst the static.

[[RESULTS]]
The analysis of the data spanning from 2003 to 2022 revealed a striking correlation coefficient of 0.8364028 between air pollution levels in El Paso and the employment numbers of broadcast technicians in Texas. This correlation was accompanied by a notable r-squared value of 0.6995696, and the statistical significance was confirmed with a p-value of less than 0.01.
Our findings suggest that as the winds of air quality in El Paso shifted, so did the fortunes of broadcast technicians across the vast expanse of Texas. It appears that the ebb and flow of air pollution levels may have been shaping the labor market for broadcast technicians all along, like an unseen hand guiding the fluctuations of employment in this field.
Fig. 1 portrays the strong correlation between air pollution levels in El Paso and the number of broadcast technicians in Texas. This scatterplot serves as a visual testament to the robust association uncovered in our analysis, demonstrating the synchronous rise and fall of these seemingly disparate variables.
It seems that when it comes to the employment of broadcast technicians, the air in El Paso may have been broadcasting its signals across the expanse of Texas all along. Who knew that the winds of change could play such a significant role in the job market for broadcast technicians?
Our study contributes to the growing body of research that unearths unexpected relationships in the intricate web of societal and environmental factors. It invites further exploration into the mechanisms underlying this correlation and highlights the importance of considering seemingly unrelated variables in labor market dynamics. After all, in the world of statistics and research, uncovering hidden connections is often a breath of fresh air... or in this case, a breath of El Paso's air.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our study has illuminated a compelling relationship between air pollution levels in El Paso and the number of broadcast technicians in Texas, providing a breath of fresh air in the realm of unexpected correlations. As we unpack the intertwining threads of environmental quality and employment trends, it becomes apparent that these variables are not simply blowing hot air.

Our findings suggest a nuanced interplay between the pollution-laden winds of El Paso and the ebbs and flows of employment in the broadcast technician sector across the Lone Star State. It appears that the atmosphere isn't just influencing weather patterns and air quality; it may also be influencing the labor market, broadcasting its impact in ways previously unseen.

Perhaps it's time we acknowledge the unseen forces at play, recognizing that the air in El Paso may have been quietly shaping the employment landscape for broadcast technicians all along. It's like the old joke about oxygen and potassium walking into a bar – it was OK. Similarly, the relationship between air pollution and broadcast technician employment in Texas may be unassuming on the surface, but its impact is undeniably potent.

As we wrap up this investigation, it's safe to say that this research has blown in some unexpected discoveries, akin to a gust of wind catching us off guard. However, it seems that the winds of curiosity have settled, and there's no need to stir up further research in this particular area. After all, we've already aired out the surprising connection between air pollution in El Paso and the number of broadcast technicians in Texas—research on this topic need not be broadcasted any further.


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 Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Environmental Anomalies and Statistical Oddities


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 Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Environmental Physics and Broadcasting Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Air We Go Again: The Correlation Between Air Pollution in El Paso and the Number of Broadcast Technicians in Texas with an abstract of This study investigates the intriguing correlation between air pollution levels in El Paso, Texas, and the employment trends of broadcast technicians across the state. By leveraging data from the Environmental Protection Agency and the Bureau of Labor Statistics spanning from 2003 to 2022, we endeavored to shed light on this unexpected relationship.
Our analysis revealed a striking correlation coefficient of 0.8364028 and statistically significant results (p < 0.01), indicating a robust association between the two variables. It appears that as air pollution levels in El Paso wax and wane, so too do the employment numbers of broadcast technicians across the vast expanse of Texas.
It seems that when it comes to air quality and broadcast technician employment, the radio waves aren't the only thing that's carrying signals. Perhaps there's an unseen "air" connection between these phenomena!

ChatGPT:

air pollution, El Paso, Texas, broadcast technicians, employment trends, correlation coefficient, Environmental Protection Agency, Bureau of Labor Statistics, statistical significance, air quality, Texas employment, radio waves, employment numbers

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



Random correlation

Discover a new correlation

View all correlations

View all research papers

Report an error


Data details

Air pollution in El Paso
Detailed data title: Percentage of days with air quality at 'unhealthy for sensitive groups' or worse in El Paso, TX
Source: Environmental Protection Agency
See what else correlates with Air pollution in El Paso

The number of broadcast technicians in Texas
Detailed data title: BLS estimate of broadcast technicians in Texas
Source: Bureau of Larbor Statistics
See what else correlates with The number of broadcast technicians in Texas

Correlation r = 0.8364028 (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 = 0.6995696 (Coefficient of determination)
This means 70% of the change in the one variable (i.e., The number of broadcast technicians in Texas) is predictable based on the change in the other (i.e., Air pollution in El Paso) over the 20 years from 2003 through 2022.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 4.3E-6. 0.0000043315223289679796000000
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

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

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.84 in 0.00043% of random cases. Said differently, if you correlated 230,866 random variables You don't actually need 230 thousand variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

p-value calculations are useful for understanding the probability of a result happening by chance. They are most useful when used to highlight the risk of a fluke outcome. For example, if you calculate a p-value of 0.30, the risk that the result is a fluke is high. It is good to know that! But there are lots of ways to get a p-value of less than 0.01, as evidenced by this project.

In this particular case, the values are so extreme as to be meaningless. That's why no one reports p-values with specificity after they drop below 0.01.

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 19 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 19 because we have two variables measured over a period of 20 years. It's just the number of years minus ( the number of variables minus one ), which in this case simplifies to the number of years minus one.
you would randomly expect to find a correlation as strong as this one.

[ 0.63, 0.93 ] 95% correlation confidence interval (using the Fisher z-transformation)
The confidence interval is an estimate the range of the value of the correlation coefficient, using the correlation itself as an input. The values are meant to be the low and high end of the correlation coefficient with 95% confidence.

This one is a bit more complciated than the other calculations, but I include it because many people have been pushing for confidence intervals instead of p-value calculations (for example: NEJM. However, if you are dredging data, you can reliably find yourself in the 5%. That's my goal!


All values for the years included above: If I were being very sneaky, I could trim years from the beginning or end of the datasets to increase the correlation on some pairs of variables. I don't do that because there are already plenty of correlations in my database without monkeying with the years.

Still, sometimes one of the variables has more years of data available than the other. This page only shows the overlapping years. To see all the years, click on "See what else correlates with..." link above.
20032004200520062007200820092010201120122013201420152016201720182019202020212022
Air pollution in El Paso (Bad air quality days)13.42479.5628411.506816.438412.32889.562843.01374.383565.479456.557383.835622.465751.917811.639346.301374.657533.561645.191265.205485.47945
The number of broadcast technicians in Texas (Broadcast Technicians)22402280236025102230218018701830181018901790184018701920158016801790178019002000




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.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




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([13.4247,9.56284,11.5068,16.4384,12.3288,9.56284,3.0137,4.38356,5.47945,6.55738,3.83562,2.46575,1.91781,1.63934,6.30137,4.65753,3.56164,5.19126,5.20548,5.47945,])
array_2 = np.array([2240,2280,2360,2510,2230,2180,1870,1830,1810,1890,1790,1840,1870,1920,1580,1680,1790,1780,1900,2000,])
array_1_name = "Air pollution in El Paso"
array_2_name = "The number of broadcast technicians in Texas"

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

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



Reuseable content

You may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

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

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

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

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

Download images for these variables:


View another random correlation

How fun was this correlation?

Your dedication to rating warms my heart!


Correlation ID: 2253 · Black Variable ID: 20586 · Red Variable ID: 14763
about · subscribe · emailme@tylervigen.com · twitter

CC BY 4.0