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Spurious correlation #5,438 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Votes for Republican Senators in Illinois and the second variable is The number of consultants in Illinois.  The chart goes from 2003 to 2020, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As more Republican Senators were elected, there was a sudden surge in demand for politically-themed consulting services. Illinois saw an influx of consultants offering expertise in donkey and elephant-related strategies, leading to a bittersweet realization that politics and consulting go hand in hand, just like peanut butter and jelly.

Model: dalle-3
Prompt: Style: Symbolism Description: Create an image reflecting the collision of the political and consulting worlds in Illinois. Show a bustling street filled with consultants and politicians as Republicans secure more Senate votes. In the foreground, a lively office building should be depicted, adorned with donkey and elephant-themed signs on its doors. Show a cheerful consultant offering advice to a group of eager politicians within the building. The scene should evoke a sense of the perfect blend of peanut butter and jelly, symbolizing the harmonious coming together of these two worlds. 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: Votes for Republican Senators in Illinois and The number of consultants in Illinois. Given these, which of the following image style descriptions seems most appropriate? Pick the one that seems to be related to one of the variables at hand. Please respond with only one of the following potential descriptions: Vaporwave Low poly Photorealism Symbolism Oragami
ChatGPT: Symbolism

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 Votes for Republican Senators in Illinois and The number of consultants in Illinois, in the following situation: As more Republican Senators were elected, there was a sudden surge in demand for politically-themed consulting services. Illinois saw an influx of consultants offering expertise in donkey and elephant-related strategies, leading to a bittersweet realization that politics and consulting go hand in hand, just like peanut butter and jelly.. Keep the description simple.
ChatGPT: In Illinois, as Republicans secured more Senate votes, the streets buzzed with activity as a wave of consultants flooded the scene. In a lively office building, donkey and elephant-themed signs adorned the doors, and a delighted consultant offered advice to a group of eager politicians. The sight of political and consulting world colliding was reminiscent of a perfect blend of peanut butter and jelly.

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: [ Symbolism ] and depicting this scene: In Illinois, as Republicans secured more Senate votes, the streets buzzed with activity as a wave of consultants flooded the scene. In a lively office building, donkey and elephant-themed signs adorned the doors, and a delighted consultant offered advice to a group of eager politicians. The sight of political and consulting world colliding was reminiscent of a perfect blend of peanut butter and jelly. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Style: Symbolism Description: Create an image reflecting the collision of the political and consulting worlds in Illinois. Show a bustling street filled with consultants and politicians as Republicans secure more Senate votes. In the foreground, a lively office building should be depicted, adorned with donkey and elephant-themed signs on its doors. Show a cheerful consultant offering advice to a group of eager politicians within the building. The scene should evoke a sense of the perfect blend of peanut butter and jelly, symbolizing the harmonious coming together of these two worlds.

*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 Republican votes for Senators in Illinois caused The number of consultants in Illinois to increase. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits

Journal of Political Punditry 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 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 Republican votes for Senators in Illinois and The number of consultants in Illinois. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title a clever pun.

Your research team used data from MIT Election Data and Science Lab, Harvard Dataverse and Bureau of Larbor Statistics to assess this nagging question. You found a correlation coefficient of 0.9843805 and p < 0.01 for 2003 to 2020.

Please respond in this format (replace "Lorem ipsum dolor sit" with your title and abstract)

[[TITLE]]
Lorem ipsum dolor sit

[[ABSTRACT]]
Lorem ipsum dolor sit



ChatGPT:
[[TITLE]]
"The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits"

[[ABSTRACT]]
In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.

Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.

As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Republican votes for Senators in Illinois and The number of consultants in Illinois. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Here is the title and abstract of the paper:
[[TITLE]]
"The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits"

[[ABSTRACT]]
In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.

Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.

As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the old saying goes, "When in doubt, call a consultant." This sentiment seems particularly resonant in the political landscape of Illinois, where the influx of consultants appears to be as persistent as a dad's insistence on wearing socks with sandals. In this study, we set out to unravel the curious connection between the prevalence of Republican votes for Senators in Illinois and the proliferation of consultants in the state. Our research not only aimed to shed light on this unusual correlation but also to inject a dash of levity into the often murky waters of statistical analysis.

It's no secret that Illinois has seen its fair share of political shenanigans - from boisterous debates to the occasional appearance of a pizza-wielding politician. Given this penchant for the unexpected, our investigation into the relationship between GOP votes and the consulting boom seemed entirely fitting. Like a dad joke that just won't quit, the data revealed a remarkably strong link between the two variables, leaving us both amused and intrigued.

As we delved into the depths of statistical analysis, our findings emerged as stark as a high-visibility campaign poster. It was as if the numbers themselves were all but winking conspiratorially at us, whispering, "You can't handle the truth, or the punchline, for that matter." The correlation coefficient of 0.9843805 and a minuscule p-value reinforced this quirk, prompting our team to ponder whether consultants were quietly pulling the strings behind the scenes or merely flocking to the political arena like overenthusiastic seagulls at a beach picnic.

[insert dad joke here] - Why did the consultant bring a ladder to the political rally? Because he heard the speeches were reaching new heights!

Our study, which harnessed data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, offered more than just a statistical peek behind the curtain. It uncovered a tale of political intrigue intertwined with professional pursuits, resembling a contemporary parable where consultants played the role of the enigmatic protagonist.

So, as consultants continued to emerge in Illinois like unexpected plot twists in a gripping novel, we couldn't help but inquire: do their numbers swell in response to an uptick in Republican votes, or is their presence akin to a well-timed punchline that leaves us scratching our heads? As we pondered this conundrum, it became evident that the connection between GOP votes and the consulting surge is much like a dad joke—elusive, yet oddly compelling.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Republican votes for Senators in Illinois and The number of consultants in Illinois. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a few real TV shows that sound like they might be relevant to the topic that you watched as research.

Here is the title and abstract of the paper:
[[TITLE]]
"The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits"

[[ABSTRACT]]
In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.

Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.

As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the old saying goes, "When in doubt, call a consultant." This sentiment seems particularly resonant in the political landscape of Illinois, where the influx of consultants appears to be as persistent as a dad's insistence on wearing socks with sandals. In this study, we set out to unravel the curious connection between the prevalence of Republican votes for Senators in Illinois and the proliferation of consultants in the state. Our research not only aimed to shed light on this unusual correlation but also to inject a dash of levity into the often murky waters of statistical analysis.
It's no secret that Illinois has seen its fair share of political shenanigans - from boisterous debates to the occasional appearance of a pizza-wielding politician. Given this penchant for the unexpected, our investigation into the relationship between GOP votes and the consulting boom seemed entirely fitting. Like a dad joke that just won't quit, the data revealed a remarkably strong link between the two variables, leaving us both amused and intrigued.
As we delved into the depths of statistical analysis, our findings emerged as stark as a high-visibility campaign poster. It was as if the numbers themselves were all but winking conspiratorially at us, whispering, "You can't handle the truth, or the punchline, for that matter." The correlation coefficient of 0.9843805 and a minuscule p-value reinforced this quirk, prompting our team to ponder whether consultants were quietly pulling the strings behind the scenes or merely flocking to the political arena like overenthusiastic seagulls at a beach picnic.
[insert dad joke here] - Why did the consultant bring a ladder to the political rally? Because he heard the speeches were reaching new heights!
Our study, which harnessed data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, offered more than just a statistical peek behind the curtain. It uncovered a tale of political intrigue intertwined with professional pursuits, resembling a contemporary parable where consultants played the role of the enigmatic protagonist.
So, as consultants continued to emerge in Illinois like unexpected plot twists in a gripping novel, we couldn't help but inquire: do their numbers swell in response to an uptick in Republican votes, or is their presence akin to a well-timed punchline that leaves us scratching our heads? As we pondered this conundrum, it became evident that the connection between GOP votes and the consulting surge is much like a dad joke—elusive, yet oddly compelling.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Investigating the correlation between Republican votes for Senators in Illinois and the prevalence of consultants in the state has been a venture as perplexing as deciphering a particularly cunning pun. In "Political Punditry in the Prairie State," Smith et al. shed light on the burgeoning presence of consultants in Illinois, raising the question of whether these professionals flock to the state as readily as eager tourists or as selectively as an audience member at a bad comedy show. The authors' insights prompt us to consider whether the influx of consultants is influenced by the political tides or whether it stands as an independent force, much like a punchline that leaves us both quizzical and bemused.

An in-depth exploration of this tangled web of correlation can be found in Doe's "Conservative Consultants and the Curious Case of Illinois." Here, Doe presents a comprehensive analysis of Republican votes and the consultant boom, painting a picture as intriguing as a mystery novel with a comedic twist. The unraveling of this dual emphasis on statistical rigor and wry amusement sets the stage for our own investigation, framing the connection between GOP votes and consultants as an enigma worthy of both thoughtful consideration and a well-timed jest.

Turning to more detailed explorations of political trends, "Republican Resurgence: Tales of Triumph and Tragedy" by Jones et al. delves into the electoral landscape in Illinois. Discoveries within this tome offer a backdrop as dramatic and enthralling as a political thriller, infusing our understanding of the consultant conundrum with the gravitas and whimsy of a well-executed dad joke.

While perusing non-fiction volumes that offer a window into the complexities of political strategy and organizational dynamics, we turned to "The Art of the Political Deal" by S. Underwood and "The Consulting Conundrum: Unraveling Illinois' Enigma" by R. Reagan. These insightful works not only extended our understanding of the intricate interplay between political machinations and professional advisors but also provided a literary journey as compelling as a page-turning mystery, sprinkled with the occasional dad joke that would make even the most stoic reader crack a smile.

Sifting through fictional works with titles that mirror the gravity and intrigue of our research topic, we encountered "The Consultant's Gambit" by K. Pierce and "The Elephants' Diplomacy" by A. Thompson. These captivating titles offered a window into the realm of political maneuvering and strategy, paralleling our own journey of unraveling the curious connection between Republican votes and the influx of consultants in Illinois. Their blend of political intrigue and speculative flair made for an entertaining literary diversion, akin to a satirical play that weaves together both suspense and levity.

Furthermore, as part of our extensive research efforts, we indulged in relevant television shows that promised to shed light on the inner workings of political campaigns and professional consultancy. "Spin City" and "Veep" offered insights into the humorous and often chaotic nature of political operations, providing amusing parallels to our own observations of the consultant conundrum. The witty banter and unexpected plot twists in these shows offered a welcome respite from the rigors of scholarly investigation - much like a well-timed dad joke that elicits laughter amidst serious discourse.

In summary, our literature review journey meandered through a landscape as varied and whimsical as a stand-up comedy set, with each source offering its unique blend of insight and amusement. These works painted a vivid tapestry of political intrigue and professional pursuits, setting the stage for our own investigation into the confounding correlation between Republican votes and the proliferation of consultants in Illinois.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Republican votes for Senators in Illinois and The number of consultants in Illinois. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from MIT Election Data and Science Lab, Harvard Dataverse and Bureau of Larbor Statistics . You used data from 2003 to 2020

Make up the research methods you don't know. Make them a bit goofy and convoluted.

Here is the title, abstract, and introduction of the paper:
[[TITLE]]
"The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits"

[[ABSTRACT]]
In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.

Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.

As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.

[[INTRODUCTION]]
As the old saying goes, "When in doubt, call a consultant." This sentiment seems particularly resonant in the political landscape of Illinois, where the influx of consultants appears to be as persistent as a dad's insistence on wearing socks with sandals. In this study, we set out to unravel the curious connection between the prevalence of Republican votes for Senators in Illinois and the proliferation of consultants in the state. Our research not only aimed to shed light on this unusual correlation but also to inject a dash of levity into the often murky waters of statistical analysis.
It's no secret that Illinois has seen its fair share of political shenanigans - from boisterous debates to the occasional appearance of a pizza-wielding politician. Given this penchant for the unexpected, our investigation into the relationship between GOP votes and the consulting boom seemed entirely fitting. Like a dad joke that just won't quit, the data revealed a remarkably strong link between the two variables, leaving us both amused and intrigued.
As we delved into the depths of statistical analysis, our findings emerged as stark as a high-visibility campaign poster. It was as if the numbers themselves were all but winking conspiratorially at us, whispering, "You can't handle the truth, or the punchline, for that matter." The correlation coefficient of 0.9843805 and a minuscule p-value reinforced this quirk, prompting our team to ponder whether consultants were quietly pulling the strings behind the scenes or merely flocking to the political arena like overenthusiastic seagulls at a beach picnic.
[insert dad joke here] - Why did the consultant bring a ladder to the political rally? Because he heard the speeches were reaching new heights!
Our study, which harnessed data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, offered more than just a statistical peek behind the curtain. It uncovered a tale of political intrigue intertwined with professional pursuits, resembling a contemporary parable where consultants played the role of the enigmatic protagonist.
So, as consultants continued to emerge in Illinois like unexpected plot twists in a gripping novel, we couldn't help but inquire: do their numbers swell in response to an uptick in Republican votes, or is their presence akin to a well-timed punchline that leaves us scratching our heads? As we pondered this conundrum, it became evident that the connection between GOP votes and the consulting surge is much like a dad joke—elusive, yet oddly compelling.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To untangle the web of political paradoxes and professional puzzles, our research team harnessed the power of data mining akin to a prospector searching for nuggets of statistical wisdom in the vast terrain of Illinois elections and labor trends. Armed with a virtual pickaxe and an unshakeable determination to uncover hidden correlations, we ventured into the virtual mines of MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics - sites that offered more valuable nuggets than a metaphor-laden gold rush in the Wild West.

Our method involved data collection spanning the years from 2003 to 2020, ensuring a robust dataset that encapsulated the enigmatic evolution of Republican votes and the proliferation of consultants. We then meticulously sieved through this data, much like a prospector looking for gold flakes in a river, ultimately yielding a bounty of insights that were as precious as a perfectly told dad joke.

[insert dad joke here] - Why did the statistician go to the art gallery? He wanted to find the 'p' value!

Employing a blend of quantitative analysis and a touch of whimsy, we applied regression models and time series analysis to unearth the relationship between Republican votes and the number of consultants in Illinois. Like a maestro conducting an intricate symphony, we harmonized these analytical techniques to reveal the intricate melodies of political shifts and professional aspirations, ultimately weaving a narrative as captivating as a tongue-twisting pun.

As we meticulously traversed the labyrinth of statistical analysis, our methodology employed rigorous data cleansing and validation processes, ensuring that our conclusions were as reliable as a vending machine that never fails to dispense a soda on the first try. This approach assured that our findings were as crisp and accurate as a perfectly timed punchline, leaving no room for statistical ambiguity or mischievous outliers to disrupt the serenity of our results.

In essence, our methodology was akin to a well-rehearsed improv performance, blending the rhythm of statistical precision with the levity of lighthearted wit to illuminate the intricate dance between Republican votes and the influx of consultants in Illinois. This approach not only provided a robust foundation for our study but also added a touch of amusement to the often-serious realm of academic research—much like the unexpected but delightful appearance of a dad joke in a scholarly discourse.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Republican votes for Senators in Illinois and The number of consultants in Illinois. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Your research team collected data from all across the internet, but mostly just used information from MIT Election Data and Science Lab, Harvard Dataverse and Bureau of Larbor Statistics .

For the time period 2003 to 2020, you found a correlation 0.9843805, r-squared of 0.9690050, and p < 0.01.

One figure will be included. The figure (Fig. 1) is a scatterplot showing the strong correlation between the two variables. You don't need to specify where; I will add the figure.

Here is the title and abstract of the paper:
[[TITLE]]
"The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits"

[[ABSTRACT]]
In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.

Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.

As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the old saying goes, "When in doubt, call a consultant." This sentiment seems particularly resonant in the political landscape of Illinois, where the influx of consultants appears to be as persistent as a dad's insistence on wearing socks with sandals. In this study, we set out to unravel the curious connection between the prevalence of Republican votes for Senators in Illinois and the proliferation of consultants in the state. Our research not only aimed to shed light on this unusual correlation but also to inject a dash of levity into the often murky waters of statistical analysis.
It's no secret that Illinois has seen its fair share of political shenanigans - from boisterous debates to the occasional appearance of a pizza-wielding politician. Given this penchant for the unexpected, our investigation into the relationship between GOP votes and the consulting boom seemed entirely fitting. Like a dad joke that just won't quit, the data revealed a remarkably strong link between the two variables, leaving us both amused and intrigued.
As we delved into the depths of statistical analysis, our findings emerged as stark as a high-visibility campaign poster. It was as if the numbers themselves were all but winking conspiratorially at us, whispering, "You can't handle the truth, or the punchline, for that matter." The correlation coefficient of 0.9843805 and a minuscule p-value reinforced this quirk, prompting our team to ponder whether consultants were quietly pulling the strings behind the scenes or merely flocking to the political arena like overenthusiastic seagulls at a beach picnic.
[insert dad joke here] - Why did the consultant bring a ladder to the political rally? Because he heard the speeches were reaching new heights!
Our study, which harnessed data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, offered more than just a statistical peek behind the curtain. It uncovered a tale of political intrigue intertwined with professional pursuits, resembling a contemporary parable where consultants played the role of the enigmatic protagonist.
So, as consultants continued to emerge in Illinois like unexpected plot twists in a gripping novel, we couldn't help but inquire: do their numbers swell in response to an uptick in Republican votes, or is their presence akin to a well-timed punchline that leaves us scratching our heads? As we pondered this conundrum, it became evident that the connection between GOP votes and the consulting surge is much like a dad joke—elusive, yet oddly compelling.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]
After meticulously sifting through the data like a miner seeking nuggets of truth, we uncovered a correlation coefficient of 0.9843805, an r-squared value of 0.9690050, and a p-value of less than 0.01. These findings suggest a robust and highly significant relationship between Republican votes for Senators in Illinois and the number of consultants in the state. It's almost as if they share a secret handshake and a fondness for red, white, and blue cupcakes at political gatherings.

The scatterplot (Fig. 1) vividly illustrates this strong association, akin to a candid photo capturing the improbable camaraderie between a politician and a consultant sharing a good-natured chuckle at a press conference. It's as clear as day, or as clear as a dad joke that has everyone rolling their eyes and yet secretly enjoying it.

The high correlation coefficient and r-squared value reflect a relationship as unmistakable as a loud and proud campaign slogan. Much like the often predictable punchlines of dad jokes, the strength of this correlation leaves little room for doubt, and only slightly more room for laughter.

In summary, our results suggest that there is a significant link between Republican votes for Senators in Illinois and the proliferation of consultants in the state. The connection between these seemingly disparate entities is as tangible as the shared excitement for a political debate and the inevitable eye-rolling that follows a particularly groan-worthy dad joke.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Republican votes for Senators in Illinois and The number of consultants in Illinois. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Limit your response to 500 tokens.

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

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

[[TITLE]]
"The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits"

[[ABSTRACT]]
In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.

Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.

As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.

[[LITERATURE REVIEW]]
Investigating the correlation between Republican votes for Senators in Illinois and the prevalence of consultants in the state has been a venture as perplexing as deciphering a particularly cunning pun. In "Political Punditry in the Prairie State," Smith et al. shed light on the burgeoning presence of consultants in Illinois, raising the question of whether these professionals flock to the state as readily as eager tourists or as selectively as an audience member at a bad comedy show. The authors' insights prompt us to consider whether the influx of consultants is influenced by the political tides or whether it stands as an independent force, much like a punchline that leaves us both quizzical and bemused.
An in-depth exploration of this tangled web of correlation can be found in Doe's "Conservative Consultants and the Curious Case of Illinois." Here, Doe presents a comprehensive analysis of Republican votes and the consultant boom, painting a picture as intriguing as a mystery novel with a comedic twist. The unraveling of this dual emphasis on statistical rigor and wry amusement sets the stage for our own investigation, framing the connection between GOP votes and consultants as an enigma worthy of both thoughtful consideration and a well-timed jest.
Turning to more detailed explorations of political trends, "Republican Resurgence: Tales of Triumph and Tragedy" by Jones et al. delves into the electoral landscape in Illinois. Discoveries within this tome offer a backdrop as dramatic and enthralling as a political thriller, infusing our understanding of the consultant conundrum with the gravitas and whimsy of a well-executed dad joke.
While perusing non-fiction volumes that offer a window into the complexities of political strategy and organizational dynamics, we turned to "The Art of the Political Deal" by S. Underwood and "The Consulting Conundrum: Unraveling Illinois' Enigma" by R. Reagan. These insightful works not only extended our understanding of the intricate interplay between political machinations and professional advisors but also provided a literary journey as compelling as a page-turning mystery, sprinkled with the occasional dad joke that would make even the most stoic reader crack a smile.
Sifting through fictional works with titles that mirror the gravity and intrigue of our research topic, we encountered "The Consultant's Gambit" by K. Pierce and "The Elephants' Diplomacy" by A. Thompson. These captivating titles offered a window into the realm of political maneuvering and strategy, paralleling our own journey of unraveling the curious connection between Republican votes and the influx of consultants in Illinois. Their blend of political intrigue and speculative flair made for an entertaining literary diversion, akin to a satirical play that weaves together both suspense and levity.
Furthermore, as part of our extensive research efforts, we indulged in relevant television shows that promised to shed light on the inner workings of political campaigns and professional consultancy. "Spin City" and "Veep" offered insights into the humorous and often chaotic nature of political operations, providing amusing parallels to our own observations of the consultant conundrum. The witty banter and unexpected plot twists in these shows offered a welcome respite from the rigors of scholarly investigation - much like a well-timed dad joke that elicits laughter amidst serious discourse.
In summary, our literature review journey meandered through a landscape as varied and whimsical as a stand-up comedy set, with each source offering its unique blend of insight and amusement. These works painted a vivid tapestry of political intrigue and professional pursuits, setting the stage for our own investigation into the confounding correlation between Republican votes and the proliferation of consultants in Illinois.

[[RESULTS]]
After meticulously sifting through the data like a miner seeking nuggets of truth, we uncovered a correlation coefficient of 0.9843805, an r-squared value of 0.9690050, and a p-value of less than 0.01. These findings suggest a robust and highly significant relationship between Republican votes for Senators in Illinois and the number of consultants in the state. It's almost as if they share a secret handshake and a fondness for red, white, and blue cupcakes at political gatherings.
The scatterplot (Fig. 1) vividly illustrates this strong association, akin to a candid photo capturing the improbable camaraderie between a politician and a consultant sharing a good-natured chuckle at a press conference. It's as clear as day, or as clear as a dad joke that has everyone rolling their eyes and yet secretly enjoying it.
The high correlation coefficient and r-squared value reflect a relationship as unmistakable as a loud and proud campaign slogan. Much like the often predictable punchlines of dad jokes, the strength of this correlation leaves little room for doubt, and only slightly more room for laughter.
In summary, our results suggest that there is a significant link between Republican votes for Senators in Illinois and the proliferation of consultants in the state. The connection between these seemingly disparate entities is as tangible as the shared excitement for a political debate and the inevitable eye-rolling that follows a particularly groan-worthy dad joke.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study paint a vivid picture of the interconnectedness between Republican votes for Senators in Illinois and the proliferation of consultants in the state, much like how a good dad joke can bring together even the most disparate crowd. Our findings come as no surprise, echoing the insightful works we encountered in our literature review. Smith et al.'s pondering of whether consultants flock to Illinois like tourists resonates with our results, as it seems these professionals do indeed have a magnetic attraction to the state, akin to the allure of a well-timed pun in a room full of skeptics.

Doe's "Conservative Consultants and the Curious Case of Illinois" set the stage for our investigation, leaving us to marvel at the statistical rigor and the enigmatic nature of this correlation, just like the unfolding of a cleverly crafted joke that keeps us guessing until the punchline. The gravitas and whimsy of political dynamics, as expounded upon by Jones et al., find their reflection in our own discoveries, as if we were both characters in a political thriller with an unexpected twist—much like a dad joke that takes an unexpected turn.

Our results not only reinforce the previous research but also solidify the notion that there is indeed a strong and significant relationship between Republican votes and the flourishing number of consultants in Illinois, much like the timeless appeal of a good old dad joke that continues to elicit eye-rolls and chuckles in equal measure.

In closing, our study sheds light on the enduring bond between political outcomes and professional advisory presence, posing questions as profound and confounding as the setup to a classic dad joke. The implications of this peculiar connection reverberate through the state's political landscape, much like a particularly resonant pun that leaves a lasting impression. It's clear that the consultant conundrum is not just a whimsical enigma but a matter of deep significance that demands both further investigation and the occasional well-placed jest.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Republican votes for Senators in Illinois and The number of consultants in Illinois. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
"The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits"

[[ABSTRACT]]
In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.

Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.

As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.

[[INTRDUCTION]]
As the old saying goes, "When in doubt, call a consultant." This sentiment seems particularly resonant in the political landscape of Illinois, where the influx of consultants appears to be as persistent as a dad's insistence on wearing socks with sandals. In this study, we set out to unravel the curious connection between the prevalence of Republican votes for Senators in Illinois and the proliferation of consultants in the state. Our research not only aimed to shed light on this unusual correlation but also to inject a dash of levity into the often murky waters of statistical analysis.
It's no secret that Illinois has seen its fair share of political shenanigans - from boisterous debates to the occasional appearance of a pizza-wielding politician. Given this penchant for the unexpected, our investigation into the relationship between GOP votes and the consulting boom seemed entirely fitting. Like a dad joke that just won't quit, the data revealed a remarkably strong link between the two variables, leaving us both amused and intrigued.
As we delved into the depths of statistical analysis, our findings emerged as stark as a high-visibility campaign poster. It was as if the numbers themselves were all but winking conspiratorially at us, whispering, "You can't handle the truth, or the punchline, for that matter." The correlation coefficient of 0.9843805 and a minuscule p-value reinforced this quirk, prompting our team to ponder whether consultants were quietly pulling the strings behind the scenes or merely flocking to the political arena like overenthusiastic seagulls at a beach picnic.
[insert dad joke here] - Why did the consultant bring a ladder to the political rally? Because he heard the speeches were reaching new heights!
Our study, which harnessed data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, offered more than just a statistical peek behind the curtain. It uncovered a tale of political intrigue intertwined with professional pursuits, resembling a contemporary parable where consultants played the role of the enigmatic protagonist.
So, as consultants continued to emerge in Illinois like unexpected plot twists in a gripping novel, we couldn't help but inquire: do their numbers swell in response to an uptick in Republican votes, or is their presence akin to a well-timed punchline that leaves us scratching our heads? As we pondered this conundrum, it became evident that the connection between GOP votes and the consulting surge is much like a dad joke—elusive, yet oddly compelling.

[[RESULTS]]
After meticulously sifting through the data like a miner seeking nuggets of truth, we uncovered a correlation coefficient of 0.9843805, an r-squared value of 0.9690050, and a p-value of less than 0.01. These findings suggest a robust and highly significant relationship between Republican votes for Senators in Illinois and the number of consultants in the state. It's almost as if they share a secret handshake and a fondness for red, white, and blue cupcakes at political gatherings.
The scatterplot (Fig. 1) vividly illustrates this strong association, akin to a candid photo capturing the improbable camaraderie between a politician and a consultant sharing a good-natured chuckle at a press conference. It's as clear as day, or as clear as a dad joke that has everyone rolling their eyes and yet secretly enjoying it.
The high correlation coefficient and r-squared value reflect a relationship as unmistakable as a loud and proud campaign slogan. Much like the often predictable punchlines of dad jokes, the strength of this correlation leaves little room for doubt, and only slightly more room for laughter.
In summary, our results suggest that there is a significant link between Republican votes for Senators in Illinois and the proliferation of consultants in the state. The connection between these seemingly disparate entities is as tangible as the shared excitement for a political debate and the inevitable eye-rolling that follows a particularly groan-worthy dad joke.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our research has uncovered a fascinating and puzzling correlation between Republican votes for Senators in Illinois and the proliferation of consultants in the state. It seems that just as Illinois voters are drawn to the polls, consultants are drawn to the political fervor like moths to a flame. Perhaps they see their opportunities multiplying like rabbits when Republican votes increase, or they may just love a good political debate as much as the next Illinoisan.

As we wrap up this study, we can't help but leave you with a dad joke to mull over - Why don't political consultants ever get lost? Because they always know which way the wind is blowing!

Our findings have not only provided a statistical peek behind the curtain but have also uncovered a tale of political bedfellows and professional pursuits. It's as if consultants and Republican votes share a secret handshake, and perhaps a mutually enjoyed fondness for red, white, and blue cupcakes at political gatherings.

Therefore, in the immortal words of Shakespeare, "the research stage exits," and we firmly assert that no further research is needed in this area. It's time for us to close this chapter and leave this conundrum to be pondered over like a delightfully groan-worthy dad joke at a political gathering.



Model: gpt-3.5-turbo-1106
System prompt: You provide fictional names of academic journals. You say nothing else, and you do not chat with the user.
User prompt: Please provide the name of a funny but plausible sounding research, scientific, or academic journal that would publish a paper entited The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Political Punditry 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 The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits. Respond only with the name of a fictional organization.

ChatGPT:

The Center for Political Satire 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 The Consultant Conundrum: Linking GOP Votes to a Proliferation of Pundits with an abstract of In this study, we delved into the peculiar interplay between Republican votes for Senators in Illinois and the burgeoning number of consultants in the state. With one foot in statistics and the other in humor, our research unearths a striking correlation that will leave you chuckling (or groaning) along the way. Using data from MIT Election Data and Science Lab, Harvard Dataverse, and the Bureau of Labor Statistics, we teased out a correlation coefficient of 0.9843805 and p < 0.01 for the period spanning 2003 to 2020.
Our findings revealed a relationship as strong as the aroma of freshly brewed coffee in the morning - and perhaps just as puzzling. We couldn't help but wonder, do consultants multiply like rabbits when Republican votes increase, or do they magically appear out of thin air? As irony would have it, the data suggested a somewhat linear relationship, much like a dad joke serialization that just can't seem to be kicked to the curb.
As we waded through the sea of numbers, our study uncovered more than just statistical correlations - it unveiled a case of political and professional bedfellows that may just leave you scratching your head. So, as political pundits continue to multiply like bold claims in an election year, we are left to ponder: are consultants the secret ingredient to swaying GOP votes, or are they simply drawn to the scent of political fervor like moths to a flame? The results suggest that the answer may be more baffling yet - and quite possibly the punchline to a joke that never seems to get old.

ChatGPT:

Republican votes, Senators, Illinois, consultants, proliferation, correlation, statistics, humor, MIT Election Data and Science Lab, Harvard Dataverse, Bureau of Labor Statistics, correlation coefficient, political bedfellows, political pundits, GOP votes, consultants, political fervor, election year, professional relationship

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



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Data details

Votes for Republican Senators in Illinois
Detailed data title: Total number of votes cast for Federal Republican Senate candidates in Illinois
Source: MIT Election Data and Science Lab, Harvard Dataverse
See what else correlates with Votes for Republican Senators in Illinois

The number of consultants in Illinois
Detailed data title: BLS estimate of management analysts in Illinois
Source: Bureau of Larbor Statistics
See what else correlates with The number of consultants in Illinois

Correlation r = 0.9843805 (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 = 0.9690050 (Coefficient of determination)
This means 96.9% of the change in the one variable (i.e., The number of consultants in Illinois) is predictable based on the change in the other (i.e., Votes for Republican Senators in Illinois) over the 6 years from 2003 through 2020.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 0.00036. 0.0003640460018601271500000000
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 0.036% of random cases. Said differently, if you correlated 2,747 random variables Which I absolutely did.
with the same 5 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 5 because we have two variables measured over a period of 6 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.

[ 0.86, 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.
200420082010201420162020
Votes for Republican Senators in Illinois (Total votes)139069015206201778700153852021846902319870
The number of consultants in Illinois (Management Analysts)204302476028960257103428036290




Why this works

  1. Data dredging: I have 25,237 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 636,906,169 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Confounding variable: 2020 is particularly different from the other years on this graph. Confounding variables (like global pandemics) will cause two variables to look connected when in fact a "sneaky third" variable is influencing both of them behind the scenes.
  5. Very low n: There are not many data points included in this analysis. Even if the p-value is high, we should be suspicious of using so few datapoints in a correlation.




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([1390690,1520620,1778700,1538520,2184690,2319870,])
array_2 = np.array([20430,24760,28960,25710,34280,36290,])
array_1_name = "Votes for Republican Senators in Illinois"
array_2_name = "The number of consultants in Illinois"

# 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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