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Spurious correlation #1,933 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Master's degrees awarded in Public administration and the second variable is The number of welders in California.  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 more public administrators emerged with advanced degrees, they began implementing highly efficient bureaucratic processes. These processes inadvertently led to a surge in demand for metal infrastructure across the state. This spike in construction and maintenance projects created a pressing need for skilled welders to join the workforce.

Model: dalle-3
Prompt: Generate an image of a university conference room where a group of graduates are joyfully receiving their Master's degrees in Public Administration from university officials. In the background, through a window, show a sprawling industrial area where a team of welders in California is hard at work creating sparks as they craft metal structures. The scene should capture the contrast between the academic achievement and the industrial work happening outside. 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: Master's degrees awarded in Public administration and The number of welders in California. 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: Steampunk A scene from Skyrim Minimalism Magic realism Surrealism
ChatGPT: A scene from Skyrim

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 Master's degrees awarded in Public administration and The number of welders in California together. Keep the description simple.
ChatGPT: In a spacious conference room at a university, a group of graduates wearing caps and gowns are joyfully receiving their Master's degrees in Public Administration from the university officials. In the background, through the window, a sprawling industrial area is visible, where a team of welders in California can be seen hard at work, creating sparks as they craft metal structures.

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 scene from Skyrim ] and depicting this scene: In a spacious conference room at a university, a group of graduates wearing caps and gowns are joyfully receiving their Master's degrees in Public Administration from the university officials. In the background, through the window, a sprawling industrial area is visible, where a team of welders in California can be seen hard at work, creating sparks as they craft metal structures. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a university conference room where a group of graduates are joyfully receiving their Master's degrees in Public Administration from university officials. In the background, through a window, show a sprawling industrial area where a team of welders in California is hard at work creating sparks as they craft metal structures. The scene should capture the contrast between the academic achievement and the industrial work happening outside.

*Variations in the User Prompts from chart to chart are just the result of random number generation in Python. I wrote a few arrays of various styles and methods to ask questions to change up the results. Every time this site writes an explanation or generates an image, the script picks from each at random.

I sequence the requests into multiple prompts because I find GPT 3.5 to perform much better with short, well-managed contexts. Thus, I track the context directly in Python and only ask ChatGPT targeted questions.

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how an increase in Master's degrees awarded in Public administration caused The number of welders in California to increase.\Make it sound serious until the end.

AI academic paper

(Because p < 0.01)
Mastering Public Administration: A Welding Relationship with California

Journal of Governance and 21st Century Policy

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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Master's degrees awarded in Public administration and The number of welders in California. 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 0.9813327 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]]
Mastering Public Administration: A Welding Relationship with California

[[ABSTRACT]]
This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.

Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Public administration and The number of welders in California. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
Mastering Public Administration: A Welding Relationship with California

[[ABSTRACT]]
This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.

Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
INTRODUCTION

The realms of academia and industry are often perceived as distinct entities, each with its own set of specialized skills and expertise. However, our pursuit of knowledge and understanding occasionally leads us down unconventional paths, unearthing peculiar correlations and unexpected bonds between seemingly unrelated domains. In this paper, we present our investigation into the entwined relationship between Master's degrees awarded in Public Administration and the population of welders in the state of California. While the connection between public administration and welding might appear tangential at first glance, our findings hint at a compelling correlation that merits further scrutiny.

As academics, we are accustomed to delving into intellectual pursuits that tend to be more abstract or conceptual. However, we were drawn to the peculiar juxtaposition of these fields and the eyebrow-raising statistical association that underpins their connection. At the crux of our inquiry lies the question: How can the educational attainment in public administration influence the demand for welders in a state known for its diverse economic landscape?

Our primary aim is to provide empirical evidence to support the unexpected relationship we have uncovered. Through rigorous analysis of data from reputable sources such as the National Center for Education Statistics and the Bureau of Labor Statistics, spanning a decade from 2012 to 2021, we endeavor to illuminate the hitherto overlooked interplay between educational trends and vocational dynamics. It is our hope that our findings will not only pique the interest of scholars and practitioners in the respective fields but also evoke a sense of curiosity about the serendipitous connections that can emerge in the tapestry of human endeavors.

While the gravity of our subject matter is evident, we do not shy away from acknowledging the inherent peculiarity of our inquiry. The fusion of public administration and welding may elicit wry smiles or puzzled frowns, and to some, it may seem as though we have embarked on a scholarly excursion into uncharted whimsy. Nevertheless, we approach this study with the same meticulous rigor and intellectual gravitas that characterizes any academic endeavor, albeit with a splash of lightheartedness in acknowledging the unanticipated bond we have uncovered.

As we navigate the labyrinthine corridors of academia and labor, we invite our readers to join us on this intrepid exploration. Together, let us unravel the intricacies of this curious correlation, and perhaps, along the way, we may find a new appreciation for the hidden connections that permeate our world.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Public administration and The number of welders in California. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then devolve ever further, and mention something completely ridiculous, like you conducted literature review by reading the backs of shampoo bottles.

Here is the title and abstract of the paper:
[[TITLE]]
Mastering Public Administration: A Welding Relationship with California

[[ABSTRACT]]
This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.

Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
INTRODUCTION
The realms of academia and industry are often perceived as distinct entities, each with its own set of specialized skills and expertise. However, our pursuit of knowledge and understanding occasionally leads us down unconventional paths, unearthing peculiar correlations and unexpected bonds between seemingly unrelated domains. In this paper, we present our investigation into the entwined relationship between Master's degrees awarded in Public Administration and the population of welders in the state of California. While the connection between public administration and welding might appear tangential at first glance, our findings hint at a compelling correlation that merits further scrutiny.
As academics, we are accustomed to delving into intellectual pursuits that tend to be more abstract or conceptual. However, we were drawn to the peculiar juxtaposition of these fields and the eyebrow-raising statistical association that underpins their connection. At the crux of our inquiry lies the question: How can the educational attainment in public administration influence the demand for welders in a state known for its diverse economic landscape?
Our primary aim is to provide empirical evidence to support the unexpected relationship we have uncovered. Through rigorous analysis of data from reputable sources such as the National Center for Education Statistics and the Bureau of Labor Statistics, spanning a decade from 2012 to 2021, we endeavor to illuminate the hitherto overlooked interplay between educational trends and vocational dynamics. It is our hope that our findings will not only pique the interest of scholars and practitioners in the respective fields but also evoke a sense of curiosity about the serendipitous connections that can emerge in the tapestry of human endeavors.
While the gravity of our subject matter is evident, we do not shy away from acknowledging the inherent peculiarity of our inquiry. The fusion of public administration and welding may elicit wry smiles or puzzled frowns, and to some, it may seem as though we have embarked on a scholarly excursion into uncharted whimsy. Nevertheless, we approach this study with the same meticulous rigor and intellectual gravitas that characterizes any academic endeavor, albeit with a splash of lightheartedness in acknowledging the unanticipated bond we have uncovered.
As we navigate the labyrinthine corridors of academia and labor, we invite our readers to join us on this intrepid exploration. Together, let us unravel the intricacies of this curious correlation, and perhaps, along the way, we may find a new appreciation for the hidden connections that permeate our world.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The connection between Master's degrees awarded in Public Administration and the number of welders in California has been a subject of minimal prior investigation. Smith et al. (2015) delved into the educational landscape of public administration, Doe et al. (2018) scrutinized the labor market trends in California, and Jones et al. (2020) examined the vocational dynamics of various industries. However, none of these studies explicitly explored the potential correlation between the two seemingly disparate fields, leaving our current inquiry as an uncharted territory in academic discourse.

Turning to relevant non-fiction literature, "The Public Administration Workbook" by Jackson (2017) provides a comprehensive overview of the intricate workings of public administration, while "Welding for Dummies" by Rumsey (2010) offers practical insights into the art and science of welding. While these texts offer valuable insights within their respective domains, the elusive nexus between the two subjects remains conspicuously absent from the literature.

In the realm of fiction, "Welding with Words: An Administrative Adventure" by Sparks (2019) tantalizingly blends elements of public administration with the fervor of welding, while "The Welder's Dilemma: A Public Administration Mystery" by Steel (2014) weaves an enigmatic tale that intertwines bureaucratic intricacies with the sparks of metalworking. These literary works, though imaginative, offer no empirical basis to substantiate the potential correlation we seek to explore.

Despite the scarcity of direct academic resources, our dedication to uncovering this unexpected relationship has led us to unconventional sources of insight. In addition to scholarly articles and data-driven reports, the authors have perused an assortment of peculiar texts and eclectic publications in pursuit of unorthodox connections. This eclectic methodology encompasses sources ranging from the backs of shampoo bottles to the whimsical narratives of children's picture books, leaving no stone unturned in our search for unanticipated revelations.

Thus, while the research landscape surrounding the fusion of public administration and welding may appear desolate, we remain undeterred in our resolve to shed light on this curious correlation. As we forge ahead in this inquiry, we invite our readers to join us in embracing the unexpected, reveling in the whimsical, and acknowledging the joy that can be found in the most unanticipated of academic discoveries.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Public administration and The number of welders in California. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from 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]]
Mastering Public Administration: A Welding Relationship with California

[[ABSTRACT]]
This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.

Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.

[[INTRODUCTION]]
INTRODUCTION
The realms of academia and industry are often perceived as distinct entities, each with its own set of specialized skills and expertise. However, our pursuit of knowledge and understanding occasionally leads us down unconventional paths, unearthing peculiar correlations and unexpected bonds between seemingly unrelated domains. In this paper, we present our investigation into the entwined relationship between Master's degrees awarded in Public Administration and the population of welders in the state of California. While the connection between public administration and welding might appear tangential at first glance, our findings hint at a compelling correlation that merits further scrutiny.
As academics, we are accustomed to delving into intellectual pursuits that tend to be more abstract or conceptual. However, we were drawn to the peculiar juxtaposition of these fields and the eyebrow-raising statistical association that underpins their connection. At the crux of our inquiry lies the question: How can the educational attainment in public administration influence the demand for welders in a state known for its diverse economic landscape?
Our primary aim is to provide empirical evidence to support the unexpected relationship we have uncovered. Through rigorous analysis of data from reputable sources such as the National Center for Education Statistics and the Bureau of Labor Statistics, spanning a decade from 2012 to 2021, we endeavor to illuminate the hitherto overlooked interplay between educational trends and vocational dynamics. It is our hope that our findings will not only pique the interest of scholars and practitioners in the respective fields but also evoke a sense of curiosity about the serendipitous connections that can emerge in the tapestry of human endeavors.
While the gravity of our subject matter is evident, we do not shy away from acknowledging the inherent peculiarity of our inquiry. The fusion of public administration and welding may elicit wry smiles or puzzled frowns, and to some, it may seem as though we have embarked on a scholarly excursion into uncharted whimsy. Nevertheless, we approach this study with the same meticulous rigor and intellectual gravitas that characterizes any academic endeavor, albeit with a splash of lightheartedness in acknowledging the unanticipated bond we have uncovered.
As we navigate the labyrinthine corridors of academia and labor, we invite our readers to join us on this intrepid exploration. Together, let us unravel the intricacies of this curious correlation, and perhaps, along the way, we may find a new appreciation for the hidden connections that permeate our world.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection:
In our pursuit of unraveling the enigmatic entanglement between Master's degrees in Public Administration and the number of welders in California, we scavenged the vast wilderness of the internet for relevant information. Our treasure trove primarily consisted of data from the National Center for Education Statistics and the Bureau of Labor Statistics, as these esteemed sources provided us with the necessary digits and figures to fuel our analysis. We meticulously sifted through data spanning the years 2012 to 2021, casting our nets wide to capture the elusive statistics that would enable us to paint a comprehensive picture of this quirkily compelling relationship.

Quantitative Analysis:
Armed with an arsenal of statistical tools and an unwavering determination to unlock the mysteries that lay in the numbers, we embarked on a journey through the realm of quantitative analysis. Our quest involved executing perplexingly convoluted dances with regression models, correlation coefficients, and other statistical sorcery to distill the essence of this peculiar correlation. Through the elegant manipulation of equations and the wizardry of statistical software, we sought to quantify the intricacies of the bond between administrative expertise and the wielding of welding torches. Our calculations were performed with the utmost scrutiny, ensuring that no mathematical stone was left unturned in our quest for veracity.

Normalization Procedure:
Recognizing the diversity of data sources and their idiosyncrasies, we meticulously subjected the raw data to a rigorous process of normalization. This transformative procedure aimed to ensure that our comparisons and analyses were not unduly influenced by the inherent disparities within the datasets. Much like the alchemists of yore, we strove to transmute the heterogeneous data into a harmonious symphony of standardized values, allowing for a more equitable evaluation of the interplay between the awarding of Master's degrees in Public Administration and the bustling population of welders in the sun-kissed state of California.

Control Variables:
To safeguard the integrity of our analysis and erect bulwarks against the encroachment of spurious correlations, we identified and accounted for a multitude of control variables that could potentially confound our findings. Factors such as economic indicators, demographic shifts, and cosmic disturbances were carefully considered in our valiant endeavor to disentangle the essence of this unexpected bond. By fortifying our analysis with these vigilant considerations, we endeavored to fortify the robustness of our conclusions and inoculate them against the capricious influences that lurk in the recesses of statistical inquiry.

Validation Process:
Satisfied with the meticulous orchestration of our research methods, we subjected our findings to a rigorous validation process. This involved an unyielding scrutiny of our analytical framework by peer reviewers and subject matter experts, ensuring that the edifice of our study stood strong against the gales of skepticism and empirical rigor. Through the relentless process of critique and refinement, we honed our conclusions into the gleaming blade of academic probity, ready to cut through the mists of uncertainty and pierce the veil of scholarly reassessment.

Ethical Considerations:
The ethical compass of our research remained steadfastly fixed on the cardinal points of integrity and transparency. We diligently adhered to the ethical norms and guidelines of scientific inquiry, ensuring that our pursuit of knowledge respected the dignity of our data sources and the intrinsic valuable of our intellectual pursuits. Our allegiance to academic honesty and intellectual probity was unwavering, serving as the lodestar that guided our scholarly voyage through this uncharted nexus of Public Administration and the labor of welding.

Triangulation of Methods:
In this cacophony of data and analysis, we sought to achieve harmony through triangulation, the venerable technique of corroborating findings through multiple methods and data sources. Just as a horticulturist cross-pollinates to yield a bountiful harvest, we melded the fruits of our quantitative inquiry with qualitative insights to achieve a synthesis of understanding that transcended the boundaries of any singular approach. Our methodology was thus a rich tapestry of empirical rigor, statistical daring, and narrative nuance, weaving together disparate threads of inquiry into a comprehensive and cohesive whole.

In summary, our methodology was a disciplined blend of rigorous data collection, quantitative wizardry, and a meticulous guarding against the machinations of confounding variables. We approached this study with the sobriety and precision demanded of academic research, but not without a dash of whimsy and reverence for the serendipitous connections that entwine the pursuits of academia and labor.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Public administration and The number of welders in California. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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

For the time period 2012 to 2021, you found a correlation 0.9813327, r-squared of 0.9630139, 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]]
Mastering Public Administration: A Welding Relationship with California

[[ABSTRACT]]
This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.

Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
INTRODUCTION
The realms of academia and industry are often perceived as distinct entities, each with its own set of specialized skills and expertise. However, our pursuit of knowledge and understanding occasionally leads us down unconventional paths, unearthing peculiar correlations and unexpected bonds between seemingly unrelated domains. In this paper, we present our investigation into the entwined relationship between Master's degrees awarded in Public Administration and the population of welders in the state of California. While the connection between public administration and welding might appear tangential at first glance, our findings hint at a compelling correlation that merits further scrutiny.
As academics, we are accustomed to delving into intellectual pursuits that tend to be more abstract or conceptual. However, we were drawn to the peculiar juxtaposition of these fields and the eyebrow-raising statistical association that underpins their connection. At the crux of our inquiry lies the question: How can the educational attainment in public administration influence the demand for welders in a state known for its diverse economic landscape?
Our primary aim is to provide empirical evidence to support the unexpected relationship we have uncovered. Through rigorous analysis of data from reputable sources such as the National Center for Education Statistics and the Bureau of Labor Statistics, spanning a decade from 2012 to 2021, we endeavor to illuminate the hitherto overlooked interplay between educational trends and vocational dynamics. It is our hope that our findings will not only pique the interest of scholars and practitioners in the respective fields but also evoke a sense of curiosity about the serendipitous connections that can emerge in the tapestry of human endeavors.
While the gravity of our subject matter is evident, we do not shy away from acknowledging the inherent peculiarity of our inquiry. The fusion of public administration and welding may elicit wry smiles or puzzled frowns, and to some, it may seem as though we have embarked on a scholarly excursion into uncharted whimsy. Nevertheless, we approach this study with the same meticulous rigor and intellectual gravitas that characterizes any academic endeavor, albeit with a splash of lightheartedness in acknowledging the unanticipated bond we have uncovered.
As we navigate the labyrinthine corridors of academia and labor, we invite our readers to join us on this intrepid exploration. Together, let us unravel the intricacies of this curious correlation, and perhaps, along the way, we may find a new appreciation for the hidden connections that permeate our world.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The data analysis yielded a strikingly high correlation coefficient of 0.9813327, indicating a robust linear relationship between the number of Master's degrees awarded in Public Administration and the population of welders in California. Additionally, the r-squared value of 0.9630139 further underscores the strength of this association, explaining approximately 96.3% of the variation in the number of welders in California based on the number of Master's degrees in Public Administration. Notably, the significance level of p < 0.01 indicates that this correlation is highly unlikely to have occurred by chance.

Our corresponding scatterplot (Fig. 1) visually illustrates the compelling correlation between these divergent variables, affirming the coherence of our statistical findings.

It is important to note that while correlation does not imply causation, the strength of the relationship uncovered in this study cannot be merely dismissed as a fortuitous coincidence. The pronounced statistical connection raises thought-provoking questions about the intricate dynamics that interlace the realms of education and workforce dynamics in the state of California.

This remarkable linkage between the stature of public administration education and the demand for welders presents a compelling anomaly that beckons further scrutiny. Future research endeavors may seek to unravel the nuanced mechanisms underlying this unexpected correlation, potentially shedding light on the interplay of educational trends, labor market demands, and policy dynamics.

The revelation of such an unlikely interrelationship underscores the need for interdisciplinary inquiry and beckons us to look beyond the conventional boundaries of academic and professional domains. The findings of this study not only contribute to the burgeoning body of knowledge in education and labor dynamics but also serve as a testament to the serendipitous connections that await discovery in the labyrinth of human pursuits.

The unanticipated coupling of Master's degrees in Public Administration and the world of welding in California highlights the capricious nature of research inquiries, reminding us that scholarly pursuits, much like life itself, are replete with unexpected connections waiting to be unearthed.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Public administration and The number of welders in California. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Mastering Public Administration: A Welding Relationship with California

[[ABSTRACT]]
This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.

Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.

[[LITERATURE REVIEW]]
The connection between Master's degrees awarded in Public Administration and the number of welders in California has been a subject of minimal prior investigation. Smith et al. (2015) delved into the educational landscape of public administration, Doe et al. (2018) scrutinized the labor market trends in California, and Jones et al. (2020) examined the vocational dynamics of various industries. However, none of these studies explicitly explored the potential correlation between the two seemingly disparate fields, leaving our current inquiry as an uncharted territory in academic discourse.
Turning to relevant non-fiction literature, "The Public Administration Workbook" by Jackson (2017) provides a comprehensive overview of the intricate workings of public administration, while "Welding for Dummies" by Rumsey (2010) offers practical insights into the art and science of welding. While these texts offer valuable insights within their respective domains, the elusive nexus between the two subjects remains conspicuously absent from the literature.
In the realm of fiction, "Welding with Words: An Administrative Adventure" by Sparks (2019) tantalizingly blends elements of public administration with the fervor of welding, while "The Welder's Dilemma: A Public Administration Mystery" by Steel (2014) weaves an enigmatic tale that intertwines bureaucratic intricacies with the sparks of metalworking. These literary works, though imaginative, offer no empirical basis to substantiate the potential correlation we seek to explore.
Despite the scarcity of direct academic resources, our dedication to uncovering this unexpected relationship has led us to unconventional sources of insight. In addition to scholarly articles and data-driven reports, the authors have perused an assortment of peculiar texts and eclectic publications in pursuit of unorthodox connections. This eclectic methodology encompasses sources ranging from the backs of shampoo bottles to the whimsical narratives of children's picture books, leaving no stone unturned in our search for unanticipated revelations.
Thus, while the research landscape surrounding the fusion of public administration and welding may appear desolate, we remain undeterred in our resolve to shed light on this curious correlation. As we forge ahead in this inquiry, we invite our readers to join us in embracing the unexpected, reveling in the whimsical, and acknowledging the joy that can be found in the most unanticipated of academic discoveries.

[[RESULTS]]
The data analysis yielded a strikingly high correlation coefficient of 0.9813327, indicating a robust linear relationship between the number of Master's degrees awarded in Public Administration and the population of welders in California. Additionally, the r-squared value of 0.9630139 further underscores the strength of this association, explaining approximately 96.3% of the variation in the number of welders in California based on the number of Master's degrees in Public Administration. Notably, the significance level of p < 0.01 indicates that this correlation is highly unlikely to have occurred by chance.
Our corresponding scatterplot (Fig. 1) visually illustrates the compelling correlation between these divergent variables, affirming the coherence of our statistical findings.
It is important to note that while correlation does not imply causation, the strength of the relationship uncovered in this study cannot be merely dismissed as a fortuitous coincidence. The pronounced statistical connection raises thought-provoking questions about the intricate dynamics that interlace the realms of education and workforce dynamics in the state of California.
This remarkable linkage between the stature of public administration education and the demand for welders presents a compelling anomaly that beckons further scrutiny. Future research endeavors may seek to unravel the nuanced mechanisms underlying this unexpected correlation, potentially shedding light on the interplay of educational trends, labor market demands, and policy dynamics.
The revelation of such an unlikely interrelationship underscores the need for interdisciplinary inquiry and beckons us to look beyond the conventional boundaries of academic and professional domains. The findings of this study not only contribute to the burgeoning body of knowledge in education and labor dynamics but also serve as a testament to the serendipitous connections that await discovery in the labyrinth of human pursuits.
The unanticipated coupling of Master's degrees in Public Administration and the world of welding in California highlights the capricious nature of research inquiries, reminding us that scholarly pursuits, much like life itself, are replete with unexpected connections waiting to be unearthed.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The robust correlation between the number of Master's degrees awarded in Public Administration and the population of welders in California uncovers a peculiar yet compelling connection that defies traditional disciplinary boundaries. Our findings echo the whimsical literature review, where we jested about seeking insight from shampoo bottles and children's picture books. However, this study has substantiated the potential interplay between the realms of public administration education and the labor market demands for welders, transcending mere jest.

The statistical results provide strong support for the unlikely relationship previously only hinted at in fictional works like "Welding with Words: An Administrative Adventure" and "The Welder's Dilemma: A Public Administration Mystery." The almost 97% variation in the number of welders in California being explained by the number of Master's degrees in Public Administration is no laughing matter, figuratively speaking, of course. The scatterplot visually conveys the striking coherence of this correlation, demonstrating a bond just as strong as the metallic bonds welders expertly forge.

While correlation does not imply causation, the salience of this relationship sheds light on a previously overlooked dynamic. This unexpected correlation challenges us to expand our understanding of the interconnectedness of seemingly unrelated fields. Unconventional as it may seem, the entwining of public administration education and the demand for welders in California urges us to embrace the capricious nature of academic pursuits and be open to unearthing unforeseen affinities.

In essence, our academic curiosity has revealed that the art of public administration and the craftsmanship of welding are more interconnected than we ever imagined. As this inquiry unveils the playful serendipity of academic discoveries, it highlights the singular possibility that hides within the labyrinth of statistical analysis—a possibility as unforeseen as finding a welding joke on the back of a shampoo bottle.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Master's degrees awarded in Public administration and The number of welders in California. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Mastering Public Administration: A Welding Relationship with California

[[ABSTRACT]]
This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.

Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.

[[INTRDUCTION]]
INTRODUCTION
The realms of academia and industry are often perceived as distinct entities, each with its own set of specialized skills and expertise. However, our pursuit of knowledge and understanding occasionally leads us down unconventional paths, unearthing peculiar correlations and unexpected bonds between seemingly unrelated domains. In this paper, we present our investigation into the entwined relationship between Master's degrees awarded in Public Administration and the population of welders in the state of California. While the connection between public administration and welding might appear tangential at first glance, our findings hint at a compelling correlation that merits further scrutiny.
As academics, we are accustomed to delving into intellectual pursuits that tend to be more abstract or conceptual. However, we were drawn to the peculiar juxtaposition of these fields and the eyebrow-raising statistical association that underpins their connection. At the crux of our inquiry lies the question: How can the educational attainment in public administration influence the demand for welders in a state known for its diverse economic landscape?
Our primary aim is to provide empirical evidence to support the unexpected relationship we have uncovered. Through rigorous analysis of data from reputable sources such as the National Center for Education Statistics and the Bureau of Labor Statistics, spanning a decade from 2012 to 2021, we endeavor to illuminate the hitherto overlooked interplay between educational trends and vocational dynamics. It is our hope that our findings will not only pique the interest of scholars and practitioners in the respective fields but also evoke a sense of curiosity about the serendipitous connections that can emerge in the tapestry of human endeavors.
While the gravity of our subject matter is evident, we do not shy away from acknowledging the inherent peculiarity of our inquiry. The fusion of public administration and welding may elicit wry smiles or puzzled frowns, and to some, it may seem as though we have embarked on a scholarly excursion into uncharted whimsy. Nevertheless, we approach this study with the same meticulous rigor and intellectual gravitas that characterizes any academic endeavor, albeit with a splash of lightheartedness in acknowledging the unanticipated bond we have uncovered.
As we navigate the labyrinthine corridors of academia and labor, we invite our readers to join us on this intrepid exploration. Together, let us unravel the intricacies of this curious correlation, and perhaps, along the way, we may find a new appreciation for the hidden connections that permeate our world.

[[RESULTS]]
The data analysis yielded a strikingly high correlation coefficient of 0.9813327, indicating a robust linear relationship between the number of Master's degrees awarded in Public Administration and the population of welders in California. Additionally, the r-squared value of 0.9630139 further underscores the strength of this association, explaining approximately 96.3% of the variation in the number of welders in California based on the number of Master's degrees in Public Administration. Notably, the significance level of p < 0.01 indicates that this correlation is highly unlikely to have occurred by chance.
Our corresponding scatterplot (Fig. 1) visually illustrates the compelling correlation between these divergent variables, affirming the coherence of our statistical findings.
It is important to note that while correlation does not imply causation, the strength of the relationship uncovered in this study cannot be merely dismissed as a fortuitous coincidence. The pronounced statistical connection raises thought-provoking questions about the intricate dynamics that interlace the realms of education and workforce dynamics in the state of California.
This remarkable linkage between the stature of public administration education and the demand for welders presents a compelling anomaly that beckons further scrutiny. Future research endeavors may seek to unravel the nuanced mechanisms underlying this unexpected correlation, potentially shedding light on the interplay of educational trends, labor market demands, and policy dynamics.
The revelation of such an unlikely interrelationship underscores the need for interdisciplinary inquiry and beckons us to look beyond the conventional boundaries of academic and professional domains. The findings of this study not only contribute to the burgeoning body of knowledge in education and labor dynamics but also serve as a testament to the serendipitous connections that await discovery in the labyrinth of human pursuits.
The unanticipated coupling of Master's degrees in Public Administration and the world of welding in California highlights the capricious nature of research inquiries, reminding us that scholarly pursuits, much like life itself, are replete with unexpected connections waiting to be unearthed.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, the findings of this study have illuminated a surprising and noteworthy connection between the awarding of Master's degrees in Public Administration and the number of welders in California. The staggering correlation coefficient and r-squared value obtained from our analysis undeniably signal a robust statistical relationship, prompting us to consider the confluence of administrative expertise and the demand for welders in the Golden State. While the academic and vocational realms may seem worlds apart, our data posit a compelling indication of their intertwined nature, urging us to delve deeper into the underlying mechanisms at play.

Amidst the seriousness of academic inquiry, it is essential to appreciate the whimsical marvels that occasionally emerge from the complexities of research. The unexpected association between public administration education and the welding industry serves as a poignant reminder of the charming idiosyncrasies that punctuate scholarly exploration. While our investigation may evoke quizzical looks or bemused chuckles, the undeniable statistical bond we have uncovered beckons us to embrace the delightful unpredictability inherent in the pursuit of knowledge.

Despite the temptation to revel in the sheer enigma of this peculiar correlation, we must also acknowledge the imperative for further research in this area. The baffling interplay between the educational landscape and vocational demand in California warrants continued investigation, as we endeavor to unravel the enigmatic threads that bind these seemingly incongruent spheres. However, in the spirit of academic jest, let us also playfully assert that perhaps some mysteries are best left unsolved, allowing for the subtle magic of their unexplained connection to linger in the annals of scholarly discourse.

Ultimately, as we bid adieu to this captivating exploration, we dare say that no further research is needed in this area — a statement imbued with just the right hint of academic whimsy. And with that, we invite our esteemed peers to savor the delightful ambiguity of this peculiar pairing, offering a toast to the joyous serendipity that festoons the tapestry of scholarly inquiry. Cheers to the inexplicable correlations that tantalize our intellect and tickle our scholarly fancy!


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 Mastering Public Administration: A Welding Relationship with California. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Governance and 21st Century Policy


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 Mastering Public Administration: A Welding Relationship with California. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Innovative Governance and Civic Welding Solutions (SIGCWS)


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 Mastering Public Administration: A Welding Relationship with California with an abstract of This study delves into the intriguing intersection of Master's degrees awarded in Public Administration and the number of welders in California. Utilizing data from the National Center for Education Statistics and the Bureau of Labor Statistics for the years 2012 to 2021, we have uncovered a remarkably high correlation coefficient of 0.9813327, with a significance level of p < 0.01.
Our findings reveal a surprising link between the administrative prowess exhibited by the recipients of Master's degrees in Public Administration and the welding industry in the Golden State. While traditionally divergent fields, this research sheds light on the unexpected bond between policy-making and metal fabrication. This connection calls for further exploration to fully grasp the intricate dynamics at play. We hope this study piques the interest of both academia and industry, igniting a newfound appreciation for the unexpectedly intertwined nature of seemingly disparate disciplines.

ChatGPT:

Master's degrees in Public Administration, welders in California, National Center for Education Statistics, Bureau of Labor Statistics, correlation coefficient, significance level, policy-making, metal fabrication, administrative prowess, California labor market, interdisciplinary research

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



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Data details

Master's degrees awarded in Public administration
Detailed data title: Master's degrees conferred by postsecondary institutions in Public administration and social services
Source: National Center for Education Statistics
See what else correlates with Master's degrees awarded in Public administration

The number of welders in California
Detailed data title: BLS estimate of welders, cutters, solderers, and brazers in California
Source: Bureau of Larbor Statistics
See what else correlates with The number of welders in California

Correlation r = 0.9813327 (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 = 0.9630139 (Coefficient of determination)
This means 96.3% of the change in the one variable (i.e., The number of welders in California) is predictable based on the change in the other (i.e., Master's degrees awarded in Public administration) over the 10 years from 2012 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 5.2E-7. 0.0000005194467884031624000000
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 0.98 in 5.2E-5% of random cases. Said differently, if you correlated 1,925,125 random variables You don't actually need 1 million variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 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.

[ 0.92, 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
Master's degrees awarded in Public administration (Degrees awarded)41737435914450845948467544536146300488834971849388
The number of welders in California (Laborers)21410229302503027070274402655026970289803005030080




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.




Try it yourself

You can calculate the values on this page on your own! Try running the Python code to see the calculation results. Step 1: Download and install Python on your computer.

Step 2: Open a plaintext editor like Notepad and paste the code below into it.

Step 3: Save the file as "calculate_correlation.py" in a place you will remember, like your desktop. Copy the file location to your clipboard. On Windows, you can right-click the file and click "Properties," and then copy what comes after "Location:" As an example, on my computer the location is "C:\Users\tyler\Desktop"

Step 4: Open a command line window. For example, by pressing start and typing "cmd" and them pressing enter.

Step 5: Install the required modules by typing "pip install numpy", then pressing enter, then typing "pip install scipy", then pressing enter.

Step 6: Navigate to the location where you saved the Python file by using the "cd" command. For example, I would type "cd C:\Users\tyler\Desktop" and push enter.

Step 7: Run the Python script by typing "python calculate_correlation.py"

If you run into any issues, I suggest asking ChatGPT to walk you through installing Python and running the code below on your system. Try this question:

"Walk me through installing Python on my computer to run a script that uses scipy and numpy. Go step-by-step and ask me to confirm before moving on. Start by asking me questions about my operating system so that you know how to proceed. Assume I want the simplest installation with the latest version of Python and that I do not currently have any of the necessary elements installed. Remember to only give me one step per response and confirm I have done it before proceeding."


# These modules make it easier to perform the calculation
import numpy as np
from scipy import stats

# We'll define a function that we can call to return the correlation calculations
def calculate_correlation(array1, array2):

    # Calculate Pearson correlation coefficient and p-value
    correlation, p_value = stats.pearsonr(array1, array2)

    # Calculate R-squared as the square of the correlation coefficient
    r_squared = correlation**2

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([41737,43591,44508,45948,46754,45361,46300,48883,49718,49388,])
array_2 = np.array([21410,22930,25030,27070,27440,26550,26970,28980,30050,30080,])
array_1_name = "Master's degrees awarded in Public administration"
array_2_name = "The number of welders in California"

# 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."

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

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Correlation ID: 1933 · Black Variable ID: 1338 · Red Variable ID: 5605
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