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Spurious correlation #2,013 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Bachelor's degrees awarded in Liberal arts and the second variable is The number of photographers in Pennsylvania.  The chart goes from 2012 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the supply of Liberal arts graduates dwindled, there were fewer individuals able to capture the perfect shot of their avocado toast or interpretive dance performance. This led to increased demand for photographic services, causing a mass migration of photographers to states with a surplus of poetry-reciting, philosophy-debating, soft-skills professionals.

Model: dalle-3
Prompt: Style: [ A black-and-white newspaper illustration ] Image Generation Prompt: Create a scene depicting a group of university graduates standing in a cozy auditorium, each proudly holding up their Bachelor's degrees in Liberal Arts. The graduates should be wearing elegant gowns and exuding a sense of pride and accomplishment. Outside the auditorium, within the sunny campus, show a line of passionate photographers capturing the picturesque scenery of Pennsylvania's rolling hills and vibrant landscapes. The photographers should be depicted as eager and enthusiastic about capturing the beauty of the natural environment. The entire scene should be depicted in a simple, black-and-white newspaper illustration style. 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: Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. 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: Pop art A scene from Skyrim A black-and-white newspaper illustration Macabre An image that looks like it is a scene from 'Star Wars'
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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania together. Keep the description simple.
ChatGPT: In a cozy university auditorium, a group of graduates in elegant gowns proudly hold up their Bachelor's degrees in Liberal Arts. On the sunny campus outside, a line of passionate photographers eagerly capture the picturesque scenery of Pennsylvania's rolling hills and vibrant landscapes.

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 a cozy university auditorium, a group of graduates in elegant gowns proudly hold up their Bachelor's degrees in Liberal Arts. On the sunny campus outside, a line of passionate photographers eagerly capture the picturesque scenery of Pennsylvania's rolling hills and vibrant landscapes. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Style: [ A black-and-white newspaper illustration ] Image Generation Prompt: Create a scene depicting a group of university graduates standing in a cozy auditorium, each proudly holding up their Bachelor's degrees in Liberal Arts. The graduates should be wearing elegant gowns and exuding a sense of pride and accomplishment. Outside the auditorium, within the sunny campus, show a line of passionate photographers capturing the picturesque scenery of Pennsylvania's rolling hills and vibrant landscapes. The photographers should be depicted as eager and enthusiastic about capturing the beauty of the natural environment. The entire scene should be depicted in a simple, black-and-white newspaper illustration style.

*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 Bachelor's degrees awarded in Liberal arts caused The number of photographers in Pennsylvania to decrease. Make it feel plausible.

AI academic paper

(Because p < 0.01)
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

The Journal of Quirky Sociocultural Studies

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 goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Make the title seem clever.

Your research team used data from National Center for Education Statistics and Bureau of Larbor Statistics to assess this nagging question. You found a correlation coefficient of 0.9858435 and p < 0.01 for 2012 to 2021.

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]]
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

[[ABSTRACT]]
In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

[[ABSTRACT]]
In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The world of academia often grapples with the enigmatic relationships between seemingly unrelated variables. As researchers, we are called to shine a light on these connections, no matter how obscure they may appear at first glance. In this context, our study sets out to explore the surprising correlation between the number of Bachelor's degrees awarded in the field of Liberal Arts and the count of individuals practicing the art of freezing moments in time through the lens of a camera in the captivating state of Pennsylvania.

Picture this – a correlation so unexpected, it's like finding a perfect exposure setting on your camera without even trying. With the meticulous precision of a photographer adjusting their aperture, we meticulously gathered and analyzed data from the National Center for Education Statistics and the Bureau of Labor Statistics. Our analytical lens focused on the years 2012 to 2021, capturing the essence of a decade's worth of educational and occupational evolution.

As we step into the darkroom of academic inquiry, we seek to develop a robust understanding of the connection between the pursuit of a liberal arts education and the burgeoning population of photographers. By developing a comprehensive framework, we aim to capture the nuances of this correlation, exposing it to the light of statistical analysis like a photograph slowly developing in the chemical bath.

Through this exploration, we aim not only to expand our understanding of academic and professional dynamics but also to paint a vivid picture of the symbiotic relationship between education and artistry. Join us as we unravel the fascinating correlations and unveil the hidden connections that bring together the worlds of liberal arts and the art of capturing the world through a lens.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name some movies that you watched that are tangentially related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

[[ABSTRACT]]
In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The world of academia often grapples with the enigmatic relationships between seemingly unrelated variables. As researchers, we are called to shine a light on these connections, no matter how obscure they may appear at first glance. In this context, our study sets out to explore the surprising correlation between the number of Bachelor's degrees awarded in the field of Liberal Arts and the count of individuals practicing the art of freezing moments in time through the lens of a camera in the captivating state of Pennsylvania.
Picture this – a correlation so unexpected, it's like finding a perfect exposure setting on your camera without even trying. With the meticulous precision of a photographer adjusting their aperture, we meticulously gathered and analyzed data from the National Center for Education Statistics and the Bureau of Labor Statistics. Our analytical lens focused on the years 2012 to 2021, capturing the essence of a decade's worth of educational and occupational evolution.
As we step into the darkroom of academic inquiry, we seek to develop a robust understanding of the connection between the pursuit of a liberal arts education and the burgeoning population of photographers. By developing a comprehensive framework, we aim to capture the nuances of this correlation, exposing it to the light of statistical analysis like a photograph slowly developing in the chemical bath.
Through this exploration, we aim not only to expand our understanding of academic and professional dynamics but also to paint a vivid picture of the symbiotic relationship between education and artistry. Join us as we unravel the fascinating correlations and unveil the hidden connections that bring together the worlds of liberal arts and the art of capturing the world through a lens.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

In the quest to unravel the mysterious relationship between the proliferation of Bachelor's degrees in Liberal Arts and the blossoming community of photographers in the scenic state of Pennsylvania, researchers have delved into various disciplines in search of insight. A cornerstone study by Smith et al. (2015) examined the impact of arts education on individual career choices, shedding light on the potential influence of a broad-based liberal arts education on the pursuit of artistic professions. Similarly, Doe's comprehensive analysis (2018) explored the occupational trends within the state of Pennsylvania and provided a valuable backdrop for understanding the intricate landscape of artistic occupations, including the realm of photography.

On a related note, Jones' compelling work on labor dynamics in creative industries (2017) presented an in-depth examination of the intersecting factors shaping the professional landscape, offering a broader context for our inquiry into the enchanting correlation between liberal arts education and the emergence of the vibrant photographic community in Pennsylvania.

Expanding the aperture of our investigation, "The Art of Seeing" by Markovitz (2013) and "Capturing Creativity" by Patel (2016) provide profound insights into the profound impact of arts education on the development of visual literacy and creative expression. These seminal works serve as a lens through which we can capture the intricate details of the transformative potential of a liberal arts education, ultimately affecting the career choices and artistic pursuits of individuals in the state.

Furthermore, delving into the realm of fiction, Huxley's "Brave New Lens" and Morrison's "Beloved Frames" offer poignant narratives that subtly resonate with the themes of perception, memory, and the art of visual storytelling, providing a unique perspective on the intrinsic connections between the world of liberal arts education and the evocative medium of photography.

In an offbeat twist, cinematic representations such as "The Shutter Island" and "The F-Stop Awakens" not only captured the imagination but also hinted at the enigmatic interplay between psychological dimensions and the art of visual narration, offering unexpected parallels to our study's exploration of the interwoven relationship between liberal arts education and photography in Pennsylvania.

As we weave through the myriad threads of literature, both factual and fictitious, we find ourselves at the precipice of a kaleidoscopic journey, ready to unpack the delightful conundrum that is the correlation between the pursuit of liberal arts education and the flourishing community of photographers in the captivating state of Pennsylvania.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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 National Center for Education Statistics and Bureau of Larbor Statistics . You used data from 2012 to 2021

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]]
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

[[ABSTRACT]]
In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.

[[INTRODUCTION]]
The world of academia often grapples with the enigmatic relationships between seemingly unrelated variables. As researchers, we are called to shine a light on these connections, no matter how obscure they may appear at first glance. In this context, our study sets out to explore the surprising correlation between the number of Bachelor's degrees awarded in the field of Liberal Arts and the count of individuals practicing the art of freezing moments in time through the lens of a camera in the captivating state of Pennsylvania.
Picture this – a correlation so unexpected, it's like finding a perfect exposure setting on your camera without even trying. With the meticulous precision of a photographer adjusting their aperture, we meticulously gathered and analyzed data from the National Center for Education Statistics and the Bureau of Labor Statistics. Our analytical lens focused on the years 2012 to 2021, capturing the essence of a decade's worth of educational and occupational evolution.
As we step into the darkroom of academic inquiry, we seek to develop a robust understanding of the connection between the pursuit of a liberal arts education and the burgeoning population of photographers. By developing a comprehensive framework, we aim to capture the nuances of this correlation, exposing it to the light of statistical analysis like a photograph slowly developing in the chemical bath.
Through this exploration, we aim not only to expand our understanding of academic and professional dynamics but also to paint a vivid picture of the symbiotic relationship between education and artistry. Join us as we unravel the fascinating correlations and unveil the hidden connections that bring together the worlds of liberal arts and the art of capturing the world through a lens.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

In order to uncover the perplexing correlation between the awarding of Bachelor's degrees in Liberal Arts and the proliferation of photographers in the state of Pennsylvania, our research team embarked on a convoluted and adventurous data collection journey. We meticulously scoured the virtual expanse of the internet, much like intrepid explorers traversing uncharted territories, in search of data sets that could shed light on this delightful yet confounding relationship.

The primary sources of data for our study were the National Center for Education Statistics and the Bureau of Labor Statistics, acting as our guiding stars through the vast cosmos of educational and occupational data. Like a sleuth unraveling a case, we pieced together information spanning the years 2012 to 2021, allowing us to capture the ebb and flow of liberal arts degrees and the evolution of the photographic workforce over a decade.

Our approach involved wrangling, massaging, and cajoling the raw data into a format suitable for statistical analysis. This process was akin to coaxing a hesitant subject into smiling for a portrait – requiring patience, precision, and perhaps a dash of charm. Each data point was meticulously verified and cleaned, ensuring that our analysis was as sharp and focused as a well-tuned camera lens.

Once the data were primed and ready, we employed a delightful array of statistical tools to unravel the intertwined tales of liberal arts education and the influx of shutterbug enthusiasts. Embracing the allure of regression analysis, correlation tests, and other sophisticated statistical techniques, we sought to capture the subtle nuances of this peculiar relationship, much like a skilled photographer seeking the perfect balance of light and shadow in a captivating composition.

Furthermore, our investigation delved into the geographical intricacies of Pennsylvania, considering regional variations and nuances that could influence the connection between educational pursuits and artistic vocations. This spatial lens allowed us to appreciate the diverse tapestry of academia and creativity across the keystone state, adding depth to our analysis that transcends the mere surface-level observations.

In essence, our methodology combined the rigor of empirical inquiry with the whimsy of exploration, as we navigated through the data landscape with scholarly resolve and a sprinkle of audacious curiosity. Together, these methods allowed us to capture the essence of this charming correlation, bringing into focus the unexpected harmony between liberal arts education and the world of visual storytelling.

This section leaves the reader with a clear understanding of our robust approach to unraveling this delightful mystery, ensuring that our findings carry the weight of meticulous research and the sparkle of intellectual discovery.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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 National Center for Education Statistics and Bureau of Larbor Statistics .

For the time period 2012 to 2021, you found a correlation 0.9858435, r-squared of 0.9718873, 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]]
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

[[ABSTRACT]]
In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The world of academia often grapples with the enigmatic relationships between seemingly unrelated variables. As researchers, we are called to shine a light on these connections, no matter how obscure they may appear at first glance. In this context, our study sets out to explore the surprising correlation between the number of Bachelor's degrees awarded in the field of Liberal Arts and the count of individuals practicing the art of freezing moments in time through the lens of a camera in the captivating state of Pennsylvania.
Picture this – a correlation so unexpected, it's like finding a perfect exposure setting on your camera without even trying. With the meticulous precision of a photographer adjusting their aperture, we meticulously gathered and analyzed data from the National Center for Education Statistics and the Bureau of Labor Statistics. Our analytical lens focused on the years 2012 to 2021, capturing the essence of a decade's worth of educational and occupational evolution.
As we step into the darkroom of academic inquiry, we seek to develop a robust understanding of the connection between the pursuit of a liberal arts education and the burgeoning population of photographers. By developing a comprehensive framework, we aim to capture the nuances of this correlation, exposing it to the light of statistical analysis like a photograph slowly developing in the chemical bath.
Through this exploration, we aim not only to expand our understanding of academic and professional dynamics but also to paint a vivid picture of the symbiotic relationship between education and artistry. Join us as we unravel the fascinating correlations and unveil the hidden connections that bring together the worlds of liberal arts and the art of capturing the world through a lens.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our rigorous analysis revealed a striking correlation between the number of Bachelor's degrees awarded in Liberal Arts and the population of photographers in Pennsylvania. Our analysis yielded a correlation coefficient of 0.9858435, providing compelling evidence of a remarkably strong positive relationship between these seemingly disparate variables. The r-squared value of 0.9718873 further confirmed the robustness of this correlation, indicating that over 97% of the variation in the number of photographers can be explained by the number of Liberal Arts degrees awarded. In statistical terms, this correlation is as clear as a sharply focused image, leaving no room for blurriness in our findings.

The significance level of p < 0.01 signified that the observed correlation was highly unlikely to have occurred by random chance alone. In simpler terms, the likelihood of this correlation being a fluke is about as rare as finding a unicorn in a statistics textbook.

To visually convey the strength of this relationship, we present Figure 1, a scatterplot that captures the unmistakably strong correlation between the number of Bachelor's degrees in Liberal Arts and the population of photographers in Pennsylvania. This figure illustrates the tight clustering of data points, akin to a tightly composed photograph without any extraneous elements cluttering the frame.

The findings from our study not only challenge preconceived notions about the evolution of occupational pursuits but also affirm the interconnectedness of seemingly distinct spheres of education and professional practice. In essence, our results unmask the symbiotic relationship between the cultivation of creativity through liberal arts education and the artistic expression found in the domain of photography.

As we unravel the mysteries of this unexpected correlation, our research stands as a testament to the vibrant and dynamic interplay between the world of education and the art of visual storytelling.

In summary, the correlation between Bachelor's degrees awarded in Liberal Arts and the population of photographers in Pennsylvania is not just a stroke of luck or a coincidental snapshot; it is a profound connection that unveils the interwoven fabric of human creativity and professional pursuits in the Keystone State.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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]]
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

[[ABSTRACT]]
In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.

[[LITERATURE REVIEW]]
In the quest to unravel the mysterious relationship between the proliferation of Bachelor's degrees in Liberal Arts and the blossoming community of photographers in the scenic state of Pennsylvania, researchers have delved into various disciplines in search of insight. A cornerstone study by Smith et al. (2015) examined the impact of arts education on individual career choices, shedding light on the potential influence of a broad-based liberal arts education on the pursuit of artistic professions. Similarly, Doe's comprehensive analysis (2018) explored the occupational trends within the state of Pennsylvania and provided a valuable backdrop for understanding the intricate landscape of artistic occupations, including the realm of photography.
On a related note, Jones' compelling work on labor dynamics in creative industries (2017) presented an in-depth examination of the intersecting factors shaping the professional landscape, offering a broader context for our inquiry into the enchanting correlation between liberal arts education and the emergence of the vibrant photographic community in Pennsylvania.
Expanding the aperture of our investigation, "The Art of Seeing" by Markovitz (2013) and "Capturing Creativity" by Patel (2016) provide profound insights into the profound impact of arts education on the development of visual literacy and creative expression. These seminal works serve as a lens through which we can capture the intricate details of the transformative potential of a liberal arts education, ultimately affecting the career choices and artistic pursuits of individuals in the state.
Furthermore, delving into the realm of fiction, Huxley's "Brave New Lens" and Morrison's "Beloved Frames" offer poignant narratives that subtly resonate with the themes of perception, memory, and the art of visual storytelling, providing a unique perspective on the intrinsic connections between the world of liberal arts education and the evocative medium of photography.
In an offbeat twist, cinematic representations such as "The Shutter Island" and "The F-Stop Awakens" not only captured the imagination but also hinted at the enigmatic interplay between psychological dimensions and the art of visual narration, offering unexpected parallels to our study's exploration of the interwoven relationship between liberal arts education and photography in Pennsylvania.
As we weave through the myriad threads of literature, both factual and fictitious, we find ourselves at the precipice of a kaleidoscopic journey, ready to unpack the delightful conundrum that is the correlation between the pursuit of liberal arts education and the flourishing community of photographers in the captivating state of Pennsylvania.

[[RESULTS]]
The results of our rigorous analysis revealed a striking correlation between the number of Bachelor's degrees awarded in Liberal Arts and the population of photographers in Pennsylvania. Our analysis yielded a correlation coefficient of 0.9858435, providing compelling evidence of a remarkably strong positive relationship between these seemingly disparate variables. The r-squared value of 0.9718873 further confirmed the robustness of this correlation, indicating that over 97% of the variation in the number of photographers can be explained by the number of Liberal Arts degrees awarded. In statistical terms, this correlation is as clear as a sharply focused image, leaving no room for blurriness in our findings.
The significance level of p < 0.01 signified that the observed correlation was highly unlikely to have occurred by random chance alone. In simpler terms, the likelihood of this correlation being a fluke is about as rare as finding a unicorn in a statistics textbook.
To visually convey the strength of this relationship, we present Figure 1, a scatterplot that captures the unmistakably strong correlation between the number of Bachelor's degrees in Liberal Arts and the population of photographers in Pennsylvania. This figure illustrates the tight clustering of data points, akin to a tightly composed photograph without any extraneous elements cluttering the frame.
The findings from our study not only challenge preconceived notions about the evolution of occupational pursuits but also affirm the interconnectedness of seemingly distinct spheres of education and professional practice. In essence, our results unmask the symbiotic relationship between the cultivation of creativity through liberal arts education and the artistic expression found in the domain of photography.
As we unravel the mysteries of this unexpected correlation, our research stands as a testament to the vibrant and dynamic interplay between the world of education and the art of visual storytelling.
In summary, the correlation between Bachelor's degrees awarded in Liberal Arts and the population of photographers in Pennsylvania is not just a stroke of luck or a coincidental snapshot; it is a profound connection that unveils the interwoven fabric of human creativity and professional pursuits in the Keystone State.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

Our research has unveiled a captivating relationship between the pursuit of liberal arts education and the burgeoning community of photographers in the picturesque state of Pennsylvania. Our findings not only resonate with prior research but also shed new light on the unexpected interconnectedness of these seemingly disparate domains.

Building upon the explorations of Smith et al. and Doe, our study not only corroborates their insights but goes further to exemplify the profound impact of a broad-based liberal arts education on the trajectory of artistic professions. Just as a photographer meticulously adjusts their lens to capture the perfect shot, our research has meticulously honed in on the undeniable link between liberal arts education and the art of visual storytelling.

Jones' work on labor dynamics provided the backdrop for understanding how individuals navigate the professional landscape, and our findings align with the intricate interplay of factors shaping career choices, much like a perfectly composed photograph harnesses various elements to create a compelling visual narrative.

"The Art of Seeing" by Markovitz and "Capturing Creativity" by Patel have served as invaluable lenses through which we can magnify the transformative potential of arts education, much like a photographer's lens magnifies the details of a captivating scene. Furthermore, the imaginative narratives found in Huxley's "Brave New Lens" and Morrison's "Beloved Frames" have subtly mirrored our exploration of the intrinsic connections between liberal arts education and the evocative medium of photography, much like the interplay of light and shadow in a carefully crafted photograph.

Our results not only pose a challenge to conventional wisdom but also affirm the unforeseen relationship between the cultivation of creativity through liberal arts education and the artistic expression found in the domain of photography, much like the unexpected perspective captured in a thought-provoking photograph. In essence, our research exposes the vibrant and dynamic interplay between the world of education and the art of visual storytelling, akin to the delicate balance of elements in a masterfully composed photograph.

Our study has opened a new frontier for inquiry into the convergence of creativity and education, presenting a compelling case for further explorations into the enthralling connections between seemingly unrelated disciplines. As the shutter of inquiry continues to click, our research serves as a testament to the captivating interplay between academic pursuits and the art of capturing life's moments frame by frame, much like a photograph unfolds its narrative with each carefully crafted exposure.


Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.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 Bachelor's degrees awarded in Liberal arts and The number of photographers in Pennsylvania. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. 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]]
Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania

[[ABSTRACT]]
In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.

[[INTRDUCTION]]
The world of academia often grapples with the enigmatic relationships between seemingly unrelated variables. As researchers, we are called to shine a light on these connections, no matter how obscure they may appear at first glance. In this context, our study sets out to explore the surprising correlation between the number of Bachelor's degrees awarded in the field of Liberal Arts and the count of individuals practicing the art of freezing moments in time through the lens of a camera in the captivating state of Pennsylvania.
Picture this – a correlation so unexpected, it's like finding a perfect exposure setting on your camera without even trying. With the meticulous precision of a photographer adjusting their aperture, we meticulously gathered and analyzed data from the National Center for Education Statistics and the Bureau of Labor Statistics. Our analytical lens focused on the years 2012 to 2021, capturing the essence of a decade's worth of educational and occupational evolution.
As we step into the darkroom of academic inquiry, we seek to develop a robust understanding of the connection between the pursuit of a liberal arts education and the burgeoning population of photographers. By developing a comprehensive framework, we aim to capture the nuances of this correlation, exposing it to the light of statistical analysis like a photograph slowly developing in the chemical bath.
Through this exploration, we aim not only to expand our understanding of academic and professional dynamics but also to paint a vivid picture of the symbiotic relationship between education and artistry. Join us as we unravel the fascinating correlations and unveil the hidden connections that bring together the worlds of liberal arts and the art of capturing the world through a lens.

[[RESULTS]]
The results of our rigorous analysis revealed a striking correlation between the number of Bachelor's degrees awarded in Liberal Arts and the population of photographers in Pennsylvania. Our analysis yielded a correlation coefficient of 0.9858435, providing compelling evidence of a remarkably strong positive relationship between these seemingly disparate variables. The r-squared value of 0.9718873 further confirmed the robustness of this correlation, indicating that over 97% of the variation in the number of photographers can be explained by the number of Liberal Arts degrees awarded. In statistical terms, this correlation is as clear as a sharply focused image, leaving no room for blurriness in our findings.
The significance level of p < 0.01 signified that the observed correlation was highly unlikely to have occurred by random chance alone. In simpler terms, the likelihood of this correlation being a fluke is about as rare as finding a unicorn in a statistics textbook.
To visually convey the strength of this relationship, we present Figure 1, a scatterplot that captures the unmistakably strong correlation between the number of Bachelor's degrees in Liberal Arts and the population of photographers in Pennsylvania. This figure illustrates the tight clustering of data points, akin to a tightly composed photograph without any extraneous elements cluttering the frame.
The findings from our study not only challenge preconceived notions about the evolution of occupational pursuits but also affirm the interconnectedness of seemingly distinct spheres of education and professional practice. In essence, our results unmask the symbiotic relationship between the cultivation of creativity through liberal arts education and the artistic expression found in the domain of photography.
As we unravel the mysteries of this unexpected correlation, our research stands as a testament to the vibrant and dynamic interplay between the world of education and the art of visual storytelling.
In summary, the correlation between Bachelor's degrees awarded in Liberal Arts and the population of photographers in Pennsylvania is not just a stroke of luck or a coincidental snapshot; it is a profound connection that unveils the interwoven fabric of human creativity and professional pursuits in the Keystone State.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation has unveiled a captivating correlation between the number of Bachelor's degrees awarded in Liberal Arts and the population of photographers in the delightful state of Pennsylvania. The remarkably strong positive relationship, akin to a perfectly composed photograph, not only challenges conventional wisdom but also shines a light on the unforeseen interplay between education and the art of freezing moments in time.

Our findings, akin to a sharply focused image, leave no room for blurriness in understanding this correlation. The unmistakably tight clustering of data points in our scatterplot is as captivating as a well-composed photograph without any extraneous elements cluttering the frame.

As we step out of the developmental fixer and stop bath of this inquiry, we assert that no further research is needed to expose the lens on this correlation. This research stands as a testament to the vibrant and dynamic interplay between the world of education and the art of visual storytelling, and it is clear that this unexpected correlation is not just a stroke of luck; it is a profound connection that unveils the interwoven fabric of human creativity and professional pursuits. Now, we can focus our lens on other enigmatic relationships and hope they develop into something equally captivating.


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 Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Quirky Sociocultural Studies


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 Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Interdisciplinary Arts and Cultural 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 Exposing the Lens: Unraveling the Correlation between Liberal Arts Degrees and the Photographic Population in Pennsylvania with an abstract of In this meticulously crafted study, we delve into the intriguing relationship between the number of Bachelor's degrees awarded in Liberal Arts and the burgeoning population of photographers in the picturesque state of Pennsylvania. Employing data sourced from the National Center for Education Statistics and the Bureau of Labor Statistics, our robust analysis spans the years 2012 to 2021 and yields a striking correlation coefficient of 0.9858435, with a significance level of p < 0.01. Our findings challenge conventional wisdom and shed light on the unforeseen interplay between the pursuit of liberal arts education and the evolution of the photographic profession. As we unravel this enigmatic correlation, we embark on a visual journey that captures the essence of academia, labor dynamics, and the art of capturing life's moments frame by frame.

ChatGPT:

Liberal Arts Degrees, Photography Population, Pennsylvania, Bachelor's Degrees, National Center for Education Statistics, Bureau of Labor Statistics, Correlation Coefficient, Significance Level, Labor Dynamics, Art Education

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



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Data details

Bachelor's degrees awarded in Liberal arts
Detailed data title: Bachelor's degrees conferred by postsecondary institutions, in field of study: Liberal arts and sciences, general studies, and humanities
Source: National Center for Education Statistics
See what else correlates with Bachelor's degrees awarded in Liberal arts

The number of photographers in Pennsylvania
Detailed data title: BLS estimate of photographers in Pennsylvania
Source: Bureau of Larbor Statistics
See what else correlates with The number of photographers in Pennsylvania

Correlation r = 0.9858435 (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 = 0.9718873 (Coefficient of determination)
This means 97.2% of the change in the one variable (i.e., The number of photographers in Pennsylvania) is predictable based on the change in the other (i.e., Bachelor's degrees awarded in Liberal arts) over the 10 years from 2012 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.7E-7. 0.0000001727464321804402000000
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 0.99 in 1.7E-5% of random cases. Said differently, if you correlated 5,788,832 random variables You don't actually need 5 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 9 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 9 because we have two variables measured over a period of 10 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.

[ 0.94, 1 ] 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.
2012201320142015201620172018201920202021
Bachelor's degrees awarded in Liberal arts (Degrees awarded)46961467904528143649436694410344262442224292241909
The number of photographers in Pennsylvania (Photographers)2560231020201600166017001740188014401090




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([46961,46790,45281,43649,43669,44103,44262,44222,42922,41909,])
array_2 = np.array([2560,2310,2020,1600,1660,1700,1740,1880,1440,1090,])
array_1_name = "Bachelor's degrees awarded in Liberal arts"
array_2_name = "The number of photographers in Pennsylvania"

# 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: 2013 · Black Variable ID: 1281 · Red Variable ID: 13650
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