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Spurious correlation #2,035 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Associates degrees awarded in Mathematics and statistics and the second variable is Intel's stock price (INTC).  The chart goes from 2011 to 2021, and the two variables track closely in value over that time. Small Image

AI explanation

As more people became proficient in complex equations, they started calculating the true value of Intel's stock, leading to higher demand and driving up the stock price. It all adds up to success for Intel!

Model: dalle-3
Prompt: [An image that looks like it is a scene from a Pixar movie] Generate an image that captures the heartwarming moment of a group of cartoon-ish students, all donning graduation caps and gowns, proudly accepting their Associate's degrees in Mathematics and Statistics. The background features a brightly colored digital screen, prominent in the distance, displaying Intel's stock price chart with an upward trend. The entire scene should have a warm, celebratory atmosphere, reminiscent of a momentous occasion in a heartwarming animated film. 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: Associates degrees awarded in Mathematics and statistics and Intel's stock price. 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: Hyper-realistic 3D Pixar Style Sci-fi fantacy Celtic art An image that looks like it is a scene from a Pixar movie
ChatGPT: An image that looks like it is a scene from a Pixar movie

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 Associates degrees awarded in Mathematics and statistics and Intel's stock price together. Keep the description simple.
ChatGPT: In the scene, a group of students in graduation caps and gowns are receiving their Associate's degrees in Mathematics and Statistics. Meanwhile, in the background, a digital screen is displaying Intel's stock price, showing an upward trend.

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: [ An image that looks like it is a scene from a Pixar movie ] and depicting this scene: In the scene, a group of students in graduation caps and gowns are receiving their Associate's degrees in Mathematics and Statistics. Meanwhile, in the background, a digital screen is displaying Intel's stock price, showing an upward trend. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [An image that looks like it is a scene from a Pixar movie] Generate an image that captures the heartwarming moment of a group of cartoon-ish students, all donning graduation caps and gowns, proudly accepting their Associate's degrees in Mathematics and Statistics. The background features a brightly colored digital screen, prominent in the distance, displaying Intel's stock price chart with an upward trend. The entire scene should have a warm, celebratory atmosphere, reminiscent of a momentous occasion in a heartwarming animated film.

*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 Associates degrees awarded in Mathematics and statistics caused Intel's stock price (INTC) to increase.

AI academic paper

(Because p < 0.01)
Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price

Journal of Quantitative Finance and Statistical Analysis

Jan 2024
Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.




Model: gpt-3.5-turbo-1106
System prompt: You are a goofy academic researcher writing an academic paper. You follow the rules, but you throw out convention regularly to make jokes and funny asides.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Associates degrees awarded in Mathematics and statistics and Intel's stock price (INTC). You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Include a pun in the title.

Your research team used data from National Center for Education Statistics and LSEG Analytics (Refinitiv) to assess this nagging question. You found a correlation coefficient of 0.9578293 and p < 0.01 for 2011 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]]
"Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price"

[[ABSTRACT]]
In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.

It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!

Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!

As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.

In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Associates degrees awarded in Mathematics and statistics and Intel's stock price (INTC). 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]]
"Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price"

[[ABSTRACT]]
In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.

It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!

Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!

As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.

In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

As the market ebbs and flows like a sine wave, investors and analysts perpetually seek to uncover the underlying patterns and connections that govern stock price movements. In this pursuit, it becomes evident that numbers reign supreme, and the correlation between educational achievements and market dynamics may hold the key to unlocking market trends.

When it comes to the relationship between associates degrees in Mathematics and Statistics and Intel's stock price (INTC), we find ourselves in a numerical labyrinth - but fear not, for where there's data, there's hope!

It's not every day we get to combine the world of academia with the rollercoaster ride of stock prices, but here we are - proving that even in the world of finance, there's no avoiding the long arm of mathematics. And if you think we're just spouting off numerical mumbo-jumbo, well, you haven't crunched the numbers with us yet!

So, why does this matter? Well, aside from the potential to revolutionize the way we understand market behavior, it turns out that the old adage holds true - it's all about who's counting! And in this case, we're not just talking about dividends and derivatives, but about the impact of mathematical education on the almighty stock price of Intel.

In a world where "math" and "market" both start with "m," it's no surprise that these two seemingly disparate realms converge in a poetic symphony of data points and dollar signs.

Let's face it - numbers drive the world, and it's about time we realize that when it comes to Intel's stock price, it's not just about the chips, but about the numbers behind them. After all, who says you can't have a little "counting" in your investment portfolio?


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Associates degrees awarded in Mathematics and statistics and Intel's stock price (INTC). 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. Perhaps you also got inspiration from some board games that are vaugely related.

Here is the title and abstract of the paper:
[[TITLE]]
"Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price"

[[ABSTRACT]]
In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.

It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!

Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!

As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.

In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
As the market ebbs and flows like a sine wave, investors and analysts perpetually seek to uncover the underlying patterns and connections that govern stock price movements. In this pursuit, it becomes evident that numbers reign supreme, and the correlation between educational achievements and market dynamics may hold the key to unlocking market trends.
When it comes to the relationship between associates degrees in Mathematics and Statistics and Intel's stock price (INTC), we find ourselves in a numerical labyrinth - but fear not, for where there's data, there's hope!
It's not every day we get to combine the world of academia with the rollercoaster ride of stock prices, but here we are - proving that even in the world of finance, there's no avoiding the long arm of mathematics. And if you think we're just spouting off numerical mumbo-jumbo, well, you haven't crunched the numbers with us yet!
So, why does this matter? Well, aside from the potential to revolutionize the way we understand market behavior, it turns out that the old adage holds true - it's all about who's counting! And in this case, we're not just talking about dividends and derivatives, but about the impact of mathematical education on the almighty stock price of Intel.
In a world where "math" and "market" both start with "m," it's no surprise that these two seemingly disparate realms converge in a poetic symphony of data points and dollar signs.
Let's face it - numbers drive the world, and it's about time we realize that when it comes to Intel's stock price, it's not just about the chips, but about the numbers behind them. After all, who says you can't have a little "counting" in your investment portfolio?

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The association between educational achievements in Mathematics and Statistics and the vagaries of the stock market has been a subject of increasing interest among researchers. Smith (2015) expounds on the potential impact of mathematical expertise on market trends, while Doe (2018) delves into the profound implications of statistical acumen in shaping financial dynamics. Jones (2020) further investigates the correlation between educational feats in Mathematics and Statistics and stock price movements, providing valuable insights into this complex relationship.

The serious exploration of this scholarly pursuit might lead one to ponder the profound interplay of numbers and market forces. However, a more lighthearted approach could be found in "The Black-Scholes Model and Beyond" by Fisher and Gatheral, which attempts to humorously capture the thrilling world of options pricing and stochastic calculus. The authors jokingly remark, "You don't need to be a genius to understand stochastic processes – but it wouldn't hurt!" Oh, the wittiness of quants!

And just when you thought academic literature had exhausted all its serious discourse, along comes a "tale" of numbers in the form of "The Curious Incident of the Dog in the Night-Time" by Mark Haddon. While not a treatise on mathematical correlations, this novel draws attention to the beauty of numbers and provides an engaging narrative that might inspire fledgling mathematicians and stock analysts alike.

In the realm of fiction, we also find inspiration from the classic board game "Clue." As we attempt to uncover the elusive connections between mathematical education and stock prices, we may feel like we're embarking on a thrilling game of deduction, trying to determine whether the stock price was influenced by Professor Plum with a probability density function in the library.

But I digress! Back to the serious examination of the literature at hand - or as serious as one can be when discussing the fantastic correlation between Mathematics and Statistics education and Intel's stock price. It seems that as we peer into the depths of this scholarly pursuit, a fusion of academia, wit, and whimsy emerges, reminding us that even in the pursuit of knowledge, there’s always room for a well-placed pun or two. And if our findings hold true, it appears that the "counting" might just be the secret ingredient in the tantalizing recipe of stock market success!


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Associates degrees awarded in Mathematics and statistics and Intel's stock price (INTC). 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 National Center for Education Statistics and LSEG Analytics (Refinitiv) . You used data from 2011 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]]
"Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price"

[[ABSTRACT]]
In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.

It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!

Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!

As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.

In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.

[[INTRODUCTION]]
As the market ebbs and flows like a sine wave, investors and analysts perpetually seek to uncover the underlying patterns and connections that govern stock price movements. In this pursuit, it becomes evident that numbers reign supreme, and the correlation between educational achievements and market dynamics may hold the key to unlocking market trends.
When it comes to the relationship between associates degrees in Mathematics and Statistics and Intel's stock price (INTC), we find ourselves in a numerical labyrinth - but fear not, for where there's data, there's hope!
It's not every day we get to combine the world of academia with the rollercoaster ride of stock prices, but here we are - proving that even in the world of finance, there's no avoiding the long arm of mathematics. And if you think we're just spouting off numerical mumbo-jumbo, well, you haven't crunched the numbers with us yet!
So, why does this matter? Well, aside from the potential to revolutionize the way we understand market behavior, it turns out that the old adage holds true - it's all about who's counting! And in this case, we're not just talking about dividends and derivatives, but about the impact of mathematical education on the almighty stock price of Intel.
In a world where "math" and "market" both start with "m," it's no surprise that these two seemingly disparate realms converge in a poetic symphony of data points and dollar signs.
Let's face it - numbers drive the world, and it's about time we realize that when it comes to Intel's stock price, it's not just about the chips, but about the numbers behind them. After all, who says you can't have a little "counting" in your investment portfolio?

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To conduct our investigation into the relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC), we employed a combination of quantitative analyses, statistical modeling, and dad jokes to maintain both rigor and levity in our research approach.

First, we obtained data on the number of Associates degrees awarded in Mathematics and Statistics from the National Center for Education Statistics. This data was then cross-referenced and supplemented with information from LSEG Analytics (Refinitiv) to ensure comprehensive coverage of educational achievements in the field of numerical and statistical prowess. We then triple-checked the data for accuracy, because as any good mathematician knows, you can never be too careful when it comes to numbers – just like when you're counting your blessings.

Following the acquisition of relevant educational data, we embarked on a deep dive into the world of stock prices, specifically focusing on Intel's stock price (INTC) from 2011 to 2021. This involved sifting through stock market reports, analyzing historical price charts, and resisting the temptation to invest our research budget in meme stocks – after all, we had to stay true to the serious business of academia, even if the allure of "stonks" was strong.

In order to establish a comprehensive model, we then employed a series of statistical techniques including correlation analysis, regression modeling, and time series analysis. We also had our research assistants perform the ancient ritual of statistical sacrifice to appease the data gods, hoping for good results – we even considered offering them some "Pi" as a joke, but we decided that might be a tad irrational.

Following the application of these methods, we performed various sensitivity analyses and conducted robustness checks to validate the consistency and reliability of our findings. After all, when it comes to quantitative research, we must always be prepared to handle outliers – not just in the data, but also in the occasional pun that sneaks into the discussion.

As we navigated this intricate methodological landscape, we remained vigilant in our pursuit of accurate and meaningful results, understanding that the correlation between mathematical education and stock prices, while complex, holds significant implications for both academia and the financial industry. It’s almost as if the numbers themselves were whispering to us, telling us to keep digging – and not just because they enjoyed the sound of our "number crunching" jokes. So, buckle up – it's time to solve this numerical mystery and uncover the hidden connection between education and the almighty stock price!


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

Please make up the results section of an academic research paper presenting the findings of the connection between Associates degrees awarded in Mathematics and statistics and Intel's stock price (INTC). 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 National Center for Education Statistics and LSEG Analytics (Refinitiv) .

For the time period 2011 to 2021, you found a correlation 0.9578293, r-squared of 0.9174370, 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]]
"Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price"

[[ABSTRACT]]
In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.

It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!

Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!

As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.

In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
As the market ebbs and flows like a sine wave, investors and analysts perpetually seek to uncover the underlying patterns and connections that govern stock price movements. In this pursuit, it becomes evident that numbers reign supreme, and the correlation between educational achievements and market dynamics may hold the key to unlocking market trends.
When it comes to the relationship between associates degrees in Mathematics and Statistics and Intel's stock price (INTC), we find ourselves in a numerical labyrinth - but fear not, for where there's data, there's hope!
It's not every day we get to combine the world of academia with the rollercoaster ride of stock prices, but here we are - proving that even in the world of finance, there's no avoiding the long arm of mathematics. And if you think we're just spouting off numerical mumbo-jumbo, well, you haven't crunched the numbers with us yet!
So, why does this matter? Well, aside from the potential to revolutionize the way we understand market behavior, it turns out that the old adage holds true - it's all about who's counting! And in this case, we're not just talking about dividends and derivatives, but about the impact of mathematical education on the almighty stock price of Intel.
In a world where "math" and "market" both start with "m," it's no surprise that these two seemingly disparate realms converge in a poetic symphony of data points and dollar signs.
Let's face it - numbers drive the world, and it's about time we realize that when it comes to Intel's stock price, it's not just about the chips, but about the numbers behind them. After all, who says you can't have a little "counting" in your investment portfolio?

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis conducted on the data collected from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021 revealed a striking correlation coefficient of 0.9578293 between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). This high correlation indicates a strong relationship between these variables, leaving little room for uncertainty – it's as clear as π!

The coefficient of determination (r-squared) of 0.9174370 further solidifies the robustness of this relationship, indicating that a whopping 91.74% of the variability in Intel's stock price can be explained by the number of Mathematics and Statistics Associates degrees awarded. It's as if the stock market is saying, "Let's factor in some mathematical education into our equations!"

To visually illustrate this connection, we present Fig. 1, a scatterplot that showcases the substantial correlation between Associates degrees in Mathematics and Statistics and Intel's stock price. The points on the plot align so well, it's as if they were graphed by a math genius – or at least someone who really understands stock trends.

It's no coincidence that these results speak volumes about the influence of mathematical education on market performance. It's almost like a perpetually looping stock ticker symbol for "math" – no matter which way you read it, it seems to always point to "profit potential."

The p-value of less than 0.01 further bolsters the significance of the relationship, indicating that the likelihood of such a strong association occurring by chance is less than the probability of finding a four-leaf clover in a field of three-leaf ones. Perhaps this statistical evidence can be summed up with a simple yet impactful equation: Education in math and stats = Intel stock success.

In conclusion, these findings suggest that the number of Associates degrees awarded in Mathematics and Statistics may play a pivotal role in shaping Intel's stock price. It's as if the market is affirming that when it comes to stock valuation, "Math-matics" always adds up – and maybe even multiplies a few profits along the way.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Associates degrees awarded in Mathematics and statistics and Intel's stock price (INTC). 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]]
"Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price"

[[ABSTRACT]]
In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.

It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!

Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!

As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.

In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.

[[LITERATURE REVIEW]]
The association between educational achievements in Mathematics and Statistics and the vagaries of the stock market has been a subject of increasing interest among researchers. Smith (2015) expounds on the potential impact of mathematical expertise on market trends, while Doe (2018) delves into the profound implications of statistical acumen in shaping financial dynamics. Jones (2020) further investigates the correlation between educational feats in Mathematics and Statistics and stock price movements, providing valuable insights into this complex relationship.
The serious exploration of this scholarly pursuit might lead one to ponder the profound interplay of numbers and market forces. However, a more lighthearted approach could be found in "The Black-Scholes Model and Beyond" by Fisher and Gatheral, which attempts to humorously capture the thrilling world of options pricing and stochastic calculus. The authors jokingly remark, "You don't need to be a genius to understand stochastic processes – but it wouldn't hurt!" Oh, the wittiness of quants!
And just when you thought academic literature had exhausted all its serious discourse, along comes a "tale" of numbers in the form of "The Curious Incident of the Dog in the Night-Time" by Mark Haddon. While not a treatise on mathematical correlations, this novel draws attention to the beauty of numbers and provides an engaging narrative that might inspire fledgling mathematicians and stock analysts alike.
In the realm of fiction, we also find inspiration from the classic board game "Clue." As we attempt to uncover the elusive connections between mathematical education and stock prices, we may feel like we're embarking on a thrilling game of deduction, trying to determine whether the stock price was influenced by Professor Plum with a probability density function in the library.
But I digress! Back to the serious examination of the literature at hand - or as serious as one can be when discussing the fantastic correlation between Mathematics and Statistics education and Intel's stock price. It seems that as we peer into the depths of this scholarly pursuit, a fusion of academia, wit, and whimsy emerges, reminding us that even in the pursuit of knowledge, there’s always room for a well-placed pun or two. And if our findings hold true, it appears that the "counting" might just be the secret ingredient in the tantalizing recipe of stock market success!

[[RESULTS]]
The statistical analysis conducted on the data collected from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021 revealed a striking correlation coefficient of 0.9578293 between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). This high correlation indicates a strong relationship between these variables, leaving little room for uncertainty – it's as clear as π!
The coefficient of determination (r-squared) of 0.9174370 further solidifies the robustness of this relationship, indicating that a whopping 91.74% of the variability in Intel's stock price can be explained by the number of Mathematics and Statistics Associates degrees awarded. It's as if the stock market is saying, "Let's factor in some mathematical education into our equations!"
To visually illustrate this connection, we present Fig. 1, a scatterplot that showcases the substantial correlation between Associates degrees in Mathematics and Statistics and Intel's stock price. The points on the plot align so well, it's as if they were graphed by a math genius – or at least someone who really understands stock trends.
It's no coincidence that these results speak volumes about the influence of mathematical education on market performance. It's almost like a perpetually looping stock ticker symbol for "math" – no matter which way you read it, it seems to always point to "profit potential."
The p-value of less than 0.01 further bolsters the significance of the relationship, indicating that the likelihood of such a strong association occurring by chance is less than the probability of finding a four-leaf clover in a field of three-leaf ones. Perhaps this statistical evidence can be summed up with a simple yet impactful equation: Education in math and stats = Intel stock success.
In conclusion, these findings suggest that the number of Associates degrees awarded in Mathematics and Statistics may play a pivotal role in shaping Intel's stock price. It's as if the market is affirming that when it comes to stock valuation, "Math-matics" always adds up – and maybe even multiplies a few profits along the way.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our study validate and underscore the findings of previous research on the connection between educational achievements in Mathematics and Statistics and stock price movements. Smith's (2015) insights into the potential impact of mathematical expertise on market trends are reinforced by our robust correlation coefficient, which can only be described as "acute-angle" in its strength. Additionally, Doe's (2018) exploration of statistical acumen in shaping financial dynamics aligns harmoniously with our own findings, further solidifying the idea that when it comes to market performance, a solid grasp of numbers might just be "sum-thing" to count on.

Our study has illuminated a profound statistical relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price, akin to discovering a hidden gem in a sea of data points. It's as if the stock market itself is nodding in agreement, acknowledging that those with a flair for mathematical acumen might just hold the key to unlocking Intel's potential – or at least calculating it with more precision.

When we consider the literature's exploration of the interplay between numbers and market forces, it's clear that our results reinforce the notion that a dash of mathematical expertise can go a long way in the world of stock valuation and prediction. It's almost as if the market is saying, "Let's ensure we're well-positioned for success, with a little 'calculus' in our moves."

Our high coefficient of determination (r-squared) provides further support for the significant impact of Mathematics and Statistics education on Intel's stock price, leaving very little room for doubt. If we were to liken this to a joke, it'd be the kind where the punchline is so clear and resonant that it leaves everyone nodding in agreement, saying, "Yeah, that really adds up."

The visual representation of our findings in the form of the scatterplot serves as a compelling visual testament to the striking correlation between Associates degrees in Mathematics and Statistics and Intel's stock price. It's as if the data points had planned a coordinated dance routine, perfectly choreographed to reflect the sway of market trends – or perhaps they've just acquired a keen understanding of stock market mathematics.

Lastly, the p-value of less than 0.01 serves as a resounding confirmation of the statistical significance of our results, leaving us with a level of confidence that's higher than the peak of a logarithmic curve. One might say that our findings, like a well-performed statistical test, have "passed" with flying colors.

In summary, our study's findings not only align with but also accentuate the existing body of research that highlights the impact of mathematical and statistical education on stock prices. It's safe to say that our data not only counts but also adds a significant element of confidence to the discourse – all while making sure to "calculate" a few chuckles along the way.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Associates degrees awarded in Mathematics and statistics and Intel's stock price (INTC). 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]]
"Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price"

[[ABSTRACT]]
In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.

It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!

Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!

As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.

In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.

[[INTRDUCTION]]
As the market ebbs and flows like a sine wave, investors and analysts perpetually seek to uncover the underlying patterns and connections that govern stock price movements. In this pursuit, it becomes evident that numbers reign supreme, and the correlation between educational achievements and market dynamics may hold the key to unlocking market trends.
When it comes to the relationship between associates degrees in Mathematics and Statistics and Intel's stock price (INTC), we find ourselves in a numerical labyrinth - but fear not, for where there's data, there's hope!
It's not every day we get to combine the world of academia with the rollercoaster ride of stock prices, but here we are - proving that even in the world of finance, there's no avoiding the long arm of mathematics. And if you think we're just spouting off numerical mumbo-jumbo, well, you haven't crunched the numbers with us yet!
So, why does this matter? Well, aside from the potential to revolutionize the way we understand market behavior, it turns out that the old adage holds true - it's all about who's counting! And in this case, we're not just talking about dividends and derivatives, but about the impact of mathematical education on the almighty stock price of Intel.
In a world where "math" and "market" both start with "m," it's no surprise that these two seemingly disparate realms converge in a poetic symphony of data points and dollar signs.
Let's face it - numbers drive the world, and it's about time we realize that when it comes to Intel's stock price, it's not just about the chips, but about the numbers behind them. After all, who says you can't have a little "counting" in your investment portfolio?

[[RESULTS]]
The statistical analysis conducted on the data collected from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021 revealed a striking correlation coefficient of 0.9578293 between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). This high correlation indicates a strong relationship between these variables, leaving little room for uncertainty – it's as clear as π!
The coefficient of determination (r-squared) of 0.9174370 further solidifies the robustness of this relationship, indicating that a whopping 91.74% of the variability in Intel's stock price can be explained by the number of Mathematics and Statistics Associates degrees awarded. It's as if the stock market is saying, "Let's factor in some mathematical education into our equations!"
To visually illustrate this connection, we present Fig. 1, a scatterplot that showcases the substantial correlation between Associates degrees in Mathematics and Statistics and Intel's stock price. The points on the plot align so well, it's as if they were graphed by a math genius – or at least someone who really understands stock trends.
It's no coincidence that these results speak volumes about the influence of mathematical education on market performance. It's almost like a perpetually looping stock ticker symbol for "math" – no matter which way you read it, it seems to always point to "profit potential."
The p-value of less than 0.01 further bolsters the significance of the relationship, indicating that the likelihood of such a strong association occurring by chance is less than the probability of finding a four-leaf clover in a field of three-leaf ones. Perhaps this statistical evidence can be summed up with a simple yet impactful equation: Education in math and stats = Intel stock success.
In conclusion, these findings suggest that the number of Associates degrees awarded in Mathematics and Statistics may play a pivotal role in shaping Intel's stock price. It's as if the market is affirming that when it comes to stock valuation, "Math-matics" always adds up – and maybe even multiplies a few profits along the way.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In sum, our study not only confirms the significant relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price but also demonstrates the formidable impact of mathematical prowess on market dynamics. It's as if these numbers are shouting, "Mathematics and markets - now that's a prime combination!"

The findings of our research emphasize the substantial influence of educational achievements in quantitative fields on market performance, supporting the notion that those who excel in Mathematics and Statistics programs may indeed hold an integral role in shaping Intel's financial trajectory. It's like they always say, "When it comes to stock prices, you can COUNT on math-savvy individuals to make a difference."

It's high time we recognize the pivotal role of mathematics in the realm of financial markets, and with these results, it's safe to say that it all adds up – quite literally! As they say, "If you're a stock analyst, you better be good at calculus because you'll need to find the limits before things go derivative."

Therefore, it is our firm conclusion that no further research is needed in this area. The correlation is so strong that it's as undeniable as a "dad counting down the days until his next dad joke!" Let's call it a day, folks. *drops the mic*


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 Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Quantitative Finance and Statistical Analysis


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 Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price. Respond only with the name of a fictional organization.

ChatGPT:

The Association for Quantitative Inquiry and Investment 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 Counting on Counts: The Calculated Connection Between Associates Degrees in Mathematics and Statistics and Intel's Stock Price with an abstract of In this study, we investigate the potential relationship between the number of Associates degrees awarded in Mathematics and Statistics and Intel's stock price (INTC). Using data from the National Center for Education Statistics and LSEG Analytics (Refinitiv) for the period of 2011 to 2021, we aimed to shed light on the statistical ties between educational achievements and market performance. Our findings reveal a strong correlation coefficient of 0.9578293 and p < 0.01, indicating a robust relationship between these variables.
It seems that when it comes to the stock market and mathematical education, there's no divided opinion - it all adds up!
Our results suggest that the pursuit and recognition of mathematical and statistical expertise at the Associate degree level may have a measurable impact on Intel's stock price. The numbers don't lie, and it seems that the value of quantitative skills may indeed count in the realm of financial markets. Moreover, it appears that those who excel in mathematics also have a knack for ascertaining Intel's potential - talk about a "chip" off the old block!
As we delve into this intriguing correlation, we encounter more evidence of the profound influence of mathematical proficiency on stock valuation. It's as if the market itself is saying, "You can count on math for success" - or at least for stock prediction. Our findings warrant further exploration and consideration, as they indicate that the quantifiably minded individuals coming out of Mathematics and Statistics programs may play a role in shaping Intel's financial fortunes.
In conclusion, our study emphasizes the integral connection between mathematical education and market dynamics, illustrating that those with a good head for numbers might just have a hand in determining the trajectory of Intel's stock. As the saying goes, "When it comes to stock prices, it's all fun and games until someone loses a dividend" - but with Mathematics and Statistics, it seems that losses can be minimized, and gains maximized.

ChatGPT:

Associates degrees in Mathematics and Statistics, educational achievements, market performance, National Center for Education Statistics, LSEG Analytics, Intel stock price, correlation coefficient, stock market, financial markets, quantitative skills, stock valuation, stock prediction, mathematical proficiency, market dynamics, Intel's financial fortunes, mathematical education, trajectory of stock, dividends

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



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Data details

Associates degrees awarded in Mathematics and statistics
Detailed data title: Associate's degrees conferred by postsecondary institutions with a field of study of Mathematics and statistics
Source: National Center for Education Statistics
See what else correlates with Associates degrees awarded in Mathematics and statistics

Intel's stock price (INTC)
Detailed data title: Opening price of Intel (INTC) on the first trading day of the year
Source: LSEG Analytics (Refinitiv)
Additional Info: Via Microsoft Excel Stockhistory function

See what else correlates with Intel's stock price (INTC)

Correlation r = 0.9578293 (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 = 0.9174370 (Coefficient of determination)
This means 91.7% of the change in the one variable (i.e., Intel's stock price (INTC)) is predictable based on the change in the other (i.e., Associates degrees awarded in Mathematics and statistics) over the 11 years from 2011 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.6E-6. 0.0000035770906114623560000000
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 0.96 in 0.00036% of random cases. Said differently, if you correlated 279,557 random variables You don't actually need 279 thousand variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

Just to be clear: I'm being completely transparent about the calculations. There is no math trickery. This is just how statistics shakes out when you calculate hundreds of millions of random correlations.
with the same 10 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 10 because we have two variables measured over a period of 11 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.

[ 0.84, 0.99 ] 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.
20112012201320142015201620172018201920202021
Associates degrees awarded in Mathematics and statistics (Degrees awarded)16441529180121482697302734544135463248514842
Intel's stock price (INTC) (Stock price)21.0124.6221.1525.7836.6733.8836.6146.3845.9660.2449.89




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([1644,1529,1801,2148,2697,3027,3454,4135,4632,4851,4842,])
array_2 = np.array([21.01,24.62,21.15,25.78,36.67,33.88,36.61,46.38,45.96,60.24,49.89,])
array_1_name = "Associates degrees awarded in Mathematics and statistics"
array_2_name = "Intel's stock price (INTC)"

# 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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Correlation ID: 2035 · Black Variable ID: 1244 · Red Variable ID: 1588
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