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Spurious correlation #2,570 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Yogurt consumption and the second variable is Rogers Communications' stock price (RCI).  The chart goes from 2002 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The active cultures in yogurt started a secret campaign to promote positive communication, leading to a ripple effect of harmony and cooperation, ultimately boosting the value of Rogers Communications' stock. Yogurt: Cultivating better connections, one spoonful at a time!

Model: dalle-3
Prompt: Prompt: Generate an image in the style of cyber folk featuring a modern café where a group of individuals is enjoying various flavors of yogurt. The café exudes a futuristic and vibrant ambiance, with sleek furniture and neon accents. The patrons exhibit expressions of contentment as they indulge in their yogurt selections. Meanwhile, in the background, display a stock market ticker prominently showing the rising value of RCI stock, with an influx of buying activity by eager investors. 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: Yogurt consumption and Rogers Communications' stock price (RCI). 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: A Discovery magazine cover image Cyber folk Cute cartoon Sci-fi fantacy Glitch art
ChatGPT: Cyber folk

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 Yogurt consumption and Rogers Communications' stock price (RCI), in the following situation: Yogurt consumption led to increased gut health, which in turn improved decision-making ability. This resulted in more people making savvy investment choices, leading to a higher demand for RCI stock and driving up the stock price.. Keep the description simple.
ChatGPT: A group of people is seen enjoying various flavors of yogurt in a bright, modern café. As they savor their yogurt, their expressions become filled with satisfaction. Meanwhile, in the background, a stock market ticker prominently displays the rising value of RCI stock as more and more investors eagerly buy up shares.

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: [ Cyber folk ] and depicting this scene: A group of people is seen enjoying various flavors of yogurt in a bright, modern café. As they savor their yogurt, their expressions become filled with satisfaction. Meanwhile, in the background, a stock market ticker prominently displays the rising value of RCI stock as more and more investors eagerly buy up shares. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Prompt: Generate an image in the style of cyber folk featuring a modern café where a group of individuals is enjoying various flavors of yogurt. The café exudes a futuristic and vibrant ambiance, with sleek furniture and neon accents. The patrons exhibit expressions of contentment as they indulge in their yogurt selections. Meanwhile, in the background, display a stock market ticker prominently showing the rising value of RCI stock, with an influx of buying activity by eager investors.

*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 Yogurt consumption caused Rogers Communications' stock price (RCI) to increase. Make it feel plausible.

AI academic paper

(Because p < 0.01)
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

Journal of Culinary Economics

Jan 2024

Reminder: This paper is AI-generated. Not real!
Quick note: This sequence is long and repetitive. That's how the prompt engineering works for this one. I manage the output in Python to format it into this PDF.




Model: gpt-3.5-turbo-1106
System prompt: You are a dry but witty academic researcher. You speak in the passive voice, and your writing sounds like it belongs in a medical or economics journal.You write titles and abstracts of goofy academic research papers.
User prompt:
Pretend you are an academic researcher. Your writing sounds like it belongs in a medical or economics journal. However, you frequently crack jokes, make puns, and add unexpected twists in your writing.

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Yogurt consumption and Rogers Communications' stock price (RCI). Make lots of jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from USDA and LSEG Analytics (Refinitiv) to assess this nagging question. You found a correlation coefficient of 0.8784258 and p < 0.01 for 2002 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]]
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

[[ABSTRACT]]
This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Yogurt consumption and Rogers Communications' stock price (RCI). Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

[[ABSTRACT]]
This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
The consumption of yogurt has long been touted for its probiotic benefits and its ability to promote gut health. However, its impact on the financial markets, specifically the stock price of Rogers Communications (RCI), has remained largely unexplored. In this study, we aim to unravel the surprising connection between yogurt consumption and RCI stock price, a correlation that has been causing quite a stir in both the financial and dairy communities.

Traditionally, the worlds of yogurt and stock prices have been as distant as the poles of a magnet - attracting attention from vastly different demographics. Yogurt enthusiasts and stock market gurus may seem like they belong in separate universes, much like the protons and electrons in an atom, but our findings suggest otherwise. The maxim "you are what you eat" takes on a whole new meaning as we delve into the relationship between dairy delicacies and stock market fluctuations.

The nature of this unusual correlation can be likened to a surprise ingredient in an experimental dish, adding an unexpected tang to the otherwise bland world of stock market analysis. Like a sprinkle of cinnamon in a savory curry, the linkage between yogurt consumption and RCI stock price has added a pinch of flavor to the otherwise predictable landscape of financial forecasting.

This study is particularly pertinent given the ongoing volatility in the financial markets and the increasing popularity of yogurt as a health-conscious snack option. By probing this unexpected association, we endeavor to shed light on the intricate interplay between seemingly unrelated variables, serving up a flavorful blend of financial analysis and dairy dynamics.

In this paper, we present the findings of a comprehensive analysis that delves into the intriguing correlation coefficient of 0.8784258 (p < 0.01) between yogurt consumption and RCI stock price from 2002 to 2021. This robust relationship raises questions not only about the potential impact of dairy products on financial markets but also about the scope of unforeseen connections that may exist in the realm of economic indicators.

Through this exploration, we aim to contribute to the literature on unconventional correlations and to spark further discussion and research on the potential influence of dietary habits on market dynamics. With a hint of humor and a sprinkling of statistical evidence, our study offers a fresh perspective on the nexus of yogurt consumption and stock price fluctuations, inviting readers to savor the unexpected and embrace the curious interplay of factors that shape our financial world.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Yogurt consumption and Rogers Communications' stock price (RCI). Make lots of jokes, goofy observations, and puns.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name 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]]
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

[[ABSTRACT]]
This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The consumption of yogurt has long been touted for its probiotic benefits and its ability to promote gut health. However, its impact on the financial markets, specifically the stock price of Rogers Communications (RCI), has remained largely unexplored. In this study, we aim to unravel the surprising connection between yogurt consumption and RCI stock price, a correlation that has been causing quite a stir in both the financial and dairy communities.
Traditionally, the worlds of yogurt and stock prices have been as distant as the poles of a magnet - attracting attention from vastly different demographics. Yogurt enthusiasts and stock market gurus may seem like they belong in separate universes, much like the protons and electrons in an atom, but our findings suggest otherwise. The maxim "you are what you eat" takes on a whole new meaning as we delve into the relationship between dairy delicacies and stock market fluctuations.
The nature of this unusual correlation can be likened to a surprise ingredient in an experimental dish, adding an unexpected tang to the otherwise bland world of stock market analysis. Like a sprinkle of cinnamon in a savory curry, the linkage between yogurt consumption and RCI stock price has added a pinch of flavor to the otherwise predictable landscape of financial forecasting.
This study is particularly pertinent given the ongoing volatility in the financial markets and the increasing popularity of yogurt as a health-conscious snack option. By probing this unexpected association, we endeavor to shed light on the intricate interplay between seemingly unrelated variables, serving up a flavorful blend of financial analysis and dairy dynamics.
In this paper, we present the findings of a comprehensive analysis that delves into the intriguing correlation coefficient of 0.8784258 (p < 0.01) between yogurt consumption and RCI stock price from 2002 to 2021. This robust relationship raises questions not only about the potential impact of dairy products on financial markets but also about the scope of unforeseen connections that may exist in the realm of economic indicators.
Through this exploration, we aim to contribute to the literature on unconventional correlations and to spark further discussion and research on the potential influence of dietary habits on market dynamics. With a hint of humor and a sprinkling of statistical evidence, our study offers a fresh perspective on the nexus of yogurt consumption and stock price fluctuations, inviting readers to savor the unexpected and embrace the curious interplay of factors that shape our financial world.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Several studies have delved into the intriguing world of financial markets and the potential factors that may influence stock prices. Smith and Doe (2015) examined the impact of consumer behavior on stock prices, while Jones et al. (2018) investigated the role of dietary patterns in financial forecasting. The authors found compelling evidence to suggest that seemingly unrelated variables could indeed be intertwined in the complex web of market dynamics.

Turning to the world of dairy and consumer habits, Lorem and Ipsum (2017) explored the cultural significance of yogurt consumption and its potential implications for economic trends. Their work shed light on the societal nuances surrounding yogurt and its role as a staple in diverse culinary traditions.

In the realm of literature, books such as "Yogurt: A Cultural History" by Author X and "The Economics of Dairy Delights" by Author Y have provided valuable insights into the rich tapestry of yogurt consumption and its broader implications. Fictional works such as "The Yogurt Chronicles" by Fictional Author A and "The Curious Case of the Creamy Conspiracy" by Fictional Author B have sparked the imagination with whimsical tales of dairy intrigue and financial frolics.

As part of the researchers' immersive approach to investigating the yogurt-RCI stock price correlation, they also delved into popular television shows such as "The Yogurt Files" and "Wall Street Whiskers." These shows, while not directly related to the research topic, provided a lighthearted backdrop against which to contemplate the curious confluence of yogurt and stock prices.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Yogurt consumption and Rogers Communications' stock price (RCI). Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from USDA and LSEG Analytics (Refinitiv) . You used data from 2002 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]]
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

[[ABSTRACT]]
This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.

[[INTRODUCTION]]
The consumption of yogurt has long been touted for its probiotic benefits and its ability to promote gut health. However, its impact on the financial markets, specifically the stock price of Rogers Communications (RCI), has remained largely unexplored. In this study, we aim to unravel the surprising connection between yogurt consumption and RCI stock price, a correlation that has been causing quite a stir in both the financial and dairy communities.
Traditionally, the worlds of yogurt and stock prices have been as distant as the poles of a magnet - attracting attention from vastly different demographics. Yogurt enthusiasts and stock market gurus may seem like they belong in separate universes, much like the protons and electrons in an atom, but our findings suggest otherwise. The maxim "you are what you eat" takes on a whole new meaning as we delve into the relationship between dairy delicacies and stock market fluctuations.
The nature of this unusual correlation can be likened to a surprise ingredient in an experimental dish, adding an unexpected tang to the otherwise bland world of stock market analysis. Like a sprinkle of cinnamon in a savory curry, the linkage between yogurt consumption and RCI stock price has added a pinch of flavor to the otherwise predictable landscape of financial forecasting.
This study is particularly pertinent given the ongoing volatility in the financial markets and the increasing popularity of yogurt as a health-conscious snack option. By probing this unexpected association, we endeavor to shed light on the intricate interplay between seemingly unrelated variables, serving up a flavorful blend of financial analysis and dairy dynamics.
In this paper, we present the findings of a comprehensive analysis that delves into the intriguing correlation coefficient of 0.8784258 (p < 0.01) between yogurt consumption and RCI stock price from 2002 to 2021. This robust relationship raises questions not only about the potential impact of dairy products on financial markets but also about the scope of unforeseen connections that may exist in the realm of economic indicators.
Through this exploration, we aim to contribute to the literature on unconventional correlations and to spark further discussion and research on the potential influence of dietary habits on market dynamics. With a hint of humor and a sprinkling of statistical evidence, our study offers a fresh perspective on the nexus of yogurt consumption and stock price fluctuations, inviting readers to savor the unexpected and embrace the curious interplay of factors that shape our financial world.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

The data for this study was gathered from a multitude of sources, akin to foraging for the ripest berries in a diverse orchard. Our research team scoured the realms of cyberspace, consulting the USDA (United States Department of Agriculture) and LSEG Analytics (Refinitiv) for the necessary ingredients to concoct this research endeavor. For a dash of historical perspective, data from 2002 to 2021 was meticulously selected to ensure a comprehensive examination of the yogurt-RCI stock price correlation.

To delineate the consumption of yogurt, we employed a hybrid approach that amalgamated survey data, retail sales figures, and the virtual footprints of online yogurt enthusiasts. This multifaceted strategy served as our compass in navigating the intricate terrain of yogurt consumption patterns, providing a panoramic view of the dairy landscape. With a smorgasbord of data at our disposal, we carefully discerned the ebb and flow of yogurt preferences, treating each data point as a unique flavor in the overarching tapestry of dietary habits.

On the other hand, the RCI stock price exhibited its own idiosyncratic behavior, akin to a skater pirouetting across the ice of market dynamics. Leveraging historical stock quotes and financial reports, we charted the undulating trajectory of RCI's stock price, harnessing the power of numerical precision to encapsulate the vicissitudes of market sentiment. The volatility of stock markets is akin to the capricious weather patterns - unpredictable yet brimming with patterns waiting to be deciphered.

The correlation analysis between yogurt consumption and RCI stock price was conducted with the precision of a molecular gastronomist crafting a gastronomic masterpiece. Utilizing statistical software, we plumbed the depths of the data, carefully seasoning it with correlation coefficients and p-values. The resultant coefficient of 0.8784258 with p < 0.01 emerged as a delectable surprise, akin to discovering a harmonious flavor combination in an unexpected culinary fusion.

In conclusion, our methodological approach incorporated a fusion of data sources, akin to blending diverse ingredients in a culinary creation. By juxtaposing yogurt consumption with RCI stock price, we embarked on a culinary adventure of statistical inquiry, unearthing a correlation that tantalizes the taste buds of academic curiosity.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Yogurt consumption and Rogers Communications' stock price (RCI). Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Your research team collected data from all across the internet, but mostly just used information from USDA and LSEG Analytics (Refinitiv) .

For the time period 2002 to 2021, you found a correlation 0.8784258, r-squared of 0.7716319, 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]]
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

[[ABSTRACT]]
This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The consumption of yogurt has long been touted for its probiotic benefits and its ability to promote gut health. However, its impact on the financial markets, specifically the stock price of Rogers Communications (RCI), has remained largely unexplored. In this study, we aim to unravel the surprising connection between yogurt consumption and RCI stock price, a correlation that has been causing quite a stir in both the financial and dairy communities.
Traditionally, the worlds of yogurt and stock prices have been as distant as the poles of a magnet - attracting attention from vastly different demographics. Yogurt enthusiasts and stock market gurus may seem like they belong in separate universes, much like the protons and electrons in an atom, but our findings suggest otherwise. The maxim "you are what you eat" takes on a whole new meaning as we delve into the relationship between dairy delicacies and stock market fluctuations.
The nature of this unusual correlation can be likened to a surprise ingredient in an experimental dish, adding an unexpected tang to the otherwise bland world of stock market analysis. Like a sprinkle of cinnamon in a savory curry, the linkage between yogurt consumption and RCI stock price has added a pinch of flavor to the otherwise predictable landscape of financial forecasting.
This study is particularly pertinent given the ongoing volatility in the financial markets and the increasing popularity of yogurt as a health-conscious snack option. By probing this unexpected association, we endeavor to shed light on the intricate interplay between seemingly unrelated variables, serving up a flavorful blend of financial analysis and dairy dynamics.
In this paper, we present the findings of a comprehensive analysis that delves into the intriguing correlation coefficient of 0.8784258 (p < 0.01) between yogurt consumption and RCI stock price from 2002 to 2021. This robust relationship raises questions not only about the potential impact of dairy products on financial markets but also about the scope of unforeseen connections that may exist in the realm of economic indicators.
Through this exploration, we aim to contribute to the literature on unconventional correlations and to spark further discussion and research on the potential influence of dietary habits on market dynamics. With a hint of humor and a sprinkling of statistical evidence, our study offers a fresh perspective on the nexus of yogurt consumption and stock price fluctuations, inviting readers to savor the unexpected and embrace the curious interplay of factors that shape our financial world.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The statistical analysis of the relationship between yogurt consumption and Rogers Communications' stock price (RCI) revealed a remarkably high correlation coefficient of 0.8784258 with an r-squared value of 0.7716319, indicating a substantial association between these seemingly disparate variables. In layman's terms, it seems that yogurt and RCI stock price have been stirring more than just the financial pot!

Fig. 1 displays a scatterplot illustrating the strong positive correlation between yogurt consumption and RCI stock price. The scatterplot looks like it's been dipped in a creamy swirl of yogurt, with the data points forming an unmistakable pattern reminiscent of a delightful parfait.

The findings suggest that perhaps Wall Street should start paying closer attention to Main Street's dairy aisle. Could it be that the key to understanding stock market movements lies not in complex financial models, but in the creamy, tangy world of yogurt? This unexpected connection certainly adds a dollop of intrigue to the otherwise serious business of stock market analysis.

The robust correlation coefficient, combined with the p-value of less than 0.01, indicates that the relationship between yogurt consumption and RCI stock price is not just a flimsy correlation that will curdle under scrutiny. It's a statistically significant finding that could potentially shake up the way we think about the factors influencing stock market movements.

These results suggest that the yogurt industry may hold more sway over the stock market than previously imagined. Perhaps instead of poring over economic indicators, investors should consider perusing the dairy case at their local grocery store for insights into future stock price movements. After all, as the saying goes, "When in doubt, trust your gut" – both figuratively and literally in this case!

In conclusion, this unexpected correlation provides a whimsical tale of two seemingly unrelated variables - yogurt and stock prices - coming together in a statistical tango that keeps analysts on their toes and dairy enthusiasts reaching for their spoons. While the precise mechanisms behind this correlation remain to be fully understood, the findings of this study invite further exploration into the delightful and unexpected interplay between dietary habits and market dynamics.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Yogurt consumption and Rogers Communications' stock price (RCI). Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Limit your response to 500 tokens.

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

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

[[TITLE]]
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

[[ABSTRACT]]
This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.

[[LITERATURE REVIEW]]
Several studies have delved into the intriguing world of financial markets and the potential factors that may influence stock prices. Smith and Doe (2015) examined the impact of consumer behavior on stock prices, while Jones et al. (2018) investigated the role of dietary patterns in financial forecasting. The authors found compelling evidence to suggest that seemingly unrelated variables could indeed be intertwined in the complex web of market dynamics.
Turning to the world of dairy and consumer habits, Lorem and Ipsum (2017) explored the cultural significance of yogurt consumption and its potential implications for economic trends. Their work shed light on the societal nuances surrounding yogurt and its role as a staple in diverse culinary traditions.
In the realm of literature, books such as "Yogurt: A Cultural History" by Author X and "The Economics of Dairy Delights" by Author Y have provided valuable insights into the rich tapestry of yogurt consumption and its broader implications. Fictional works such as "The Yogurt Chronicles" by Fictional Author A and "The Curious Case of the Creamy Conspiracy" by Fictional Author B have sparked the imagination with whimsical tales of dairy intrigue and financial frolics.
As part of the researchers' immersive approach to investigating the yogurt-RCI stock price correlation, they also delved into popular television shows such as "The Yogurt Files" and "Wall Street Whiskers." These shows, while not directly related to the research topic, provided a lighthearted backdrop against which to contemplate the curious confluence of yogurt and stock prices.

[[RESULTS]]
The statistical analysis of the relationship between yogurt consumption and Rogers Communications' stock price (RCI) revealed a remarkably high correlation coefficient of 0.8784258 with an r-squared value of 0.7716319, indicating a substantial association between these seemingly disparate variables. In layman's terms, it seems that yogurt and RCI stock price have been stirring more than just the financial pot!
Fig. 1 displays a scatterplot illustrating the strong positive correlation between yogurt consumption and RCI stock price. The scatterplot looks like it's been dipped in a creamy swirl of yogurt, with the data points forming an unmistakable pattern reminiscent of a delightful parfait.
The findings suggest that perhaps Wall Street should start paying closer attention to Main Street's dairy aisle. Could it be that the key to understanding stock market movements lies not in complex financial models, but in the creamy, tangy world of yogurt? This unexpected connection certainly adds a dollop of intrigue to the otherwise serious business of stock market analysis.
The robust correlation coefficient, combined with the p-value of less than 0.01, indicates that the relationship between yogurt consumption and RCI stock price is not just a flimsy correlation that will curdle under scrutiny. It's a statistically significant finding that could potentially shake up the way we think about the factors influencing stock market movements.
These results suggest that the yogurt industry may hold more sway over the stock market than previously imagined. Perhaps instead of poring over economic indicators, investors should consider perusing the dairy case at their local grocery store for insights into future stock price movements. After all, as the saying goes, "When in doubt, trust your gut" – both figuratively and literally in this case!
In conclusion, this unexpected correlation provides a whimsical tale of two seemingly unrelated variables - yogurt and stock prices - coming together in a statistical tango that keeps analysts on their toes and dairy enthusiasts reaching for their spoons. While the precise mechanisms behind this correlation remain to be fully understood, the findings of this study invite further exploration into the delightful and unexpected interplay between dietary habits and market dynamics.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The unexpected correlation between yogurt consumption and Rogers Communications' stock price (RCI) uncovered in this study adds a flavorful twist to the ongoing quest for understanding market dynamics. As Smith and Doe (2015) astutely noted, consumer behavior can indeed have a notable impact on stock prices, and it seems that the creamy world of yogurt is no exception. Similarly, Jones et al. (2018) hinted at the potential role of dietary patterns in financial forecasting, offering a tantalizing taste of the broader tapestry of market influences.

The robust correlation coefficient of 0.8784258 and the r-squared value of 0.7716319 not only lend statistical weight to the yogurt-RCI stock price relationship but also evoke imagery of an intricately swirled parfait, showcasing the artistic flair that statistics can possess. The results stand as a testament to the resilience of this unexpected connection - it's not just a flash in the pan (or swirl in the yogurt, as it were), but a substantial finding that demands contemplation.

The scatterplot displaying the positive correlation between yogurt consumption and RCI stock price resembles a delectable dessert, inviting observers to ponder the whimsical confluence of gastronomic pleasures and financial figures. Indeed, while the scientific community may not have anticipated such a creamy liaison between dairy delights and stock market fluctuations, the findings of this study encourage a reevaluation of the potential factors driving market movements.

These results underscore the need for a more holistic approach to market analysis, one that embraces the unexpected and the seemingly unrelated. It's a reminder that the world of statistics, much like the world of dairy, is rife with surprises and hidden connections waiting to be uncovered. As researchers, we must remain open to the possibility of untapped correlations lurking beneath the surface, much like the hidden layers of a yogurt parfait.

In light of these findings, it may be time for analysts to don their aprons and delve into the dairy aisle with the same rigor they apply to financial models. The creamy, tangy world of yogurt may hold more insight than previously imagined, offering a refreshingly offbeat perspective on market dynamics.

This study stands as a testament to the enduring allure of interdisciplinary exploration and the potential for unexpected connections to reshape our understanding of complex phenomena. While the precise mechanisms underpinning the yogurt-RCI stock price correlation remain a creamy enigma, the findings serve as a gentle reminder that the world of research is not always black and white - sometimes, it's delightfully swirled with unexpected shades of creamy intrigue.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Yogurt consumption and Rogers Communications' stock price (RCI). Make lots of jokes, goofy observations, and puns. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

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

Here are the title, abstract, introduction, and results sections.
[[TITLE]]
Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation

[[ABSTRACT]]
This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.

[[INTRDUCTION]]
The consumption of yogurt has long been touted for its probiotic benefits and its ability to promote gut health. However, its impact on the financial markets, specifically the stock price of Rogers Communications (RCI), has remained largely unexplored. In this study, we aim to unravel the surprising connection between yogurt consumption and RCI stock price, a correlation that has been causing quite a stir in both the financial and dairy communities.
Traditionally, the worlds of yogurt and stock prices have been as distant as the poles of a magnet - attracting attention from vastly different demographics. Yogurt enthusiasts and stock market gurus may seem like they belong in separate universes, much like the protons and electrons in an atom, but our findings suggest otherwise. The maxim "you are what you eat" takes on a whole new meaning as we delve into the relationship between dairy delicacies and stock market fluctuations.
The nature of this unusual correlation can be likened to a surprise ingredient in an experimental dish, adding an unexpected tang to the otherwise bland world of stock market analysis. Like a sprinkle of cinnamon in a savory curry, the linkage between yogurt consumption and RCI stock price has added a pinch of flavor to the otherwise predictable landscape of financial forecasting.
This study is particularly pertinent given the ongoing volatility in the financial markets and the increasing popularity of yogurt as a health-conscious snack option. By probing this unexpected association, we endeavor to shed light on the intricate interplay between seemingly unrelated variables, serving up a flavorful blend of financial analysis and dairy dynamics.
In this paper, we present the findings of a comprehensive analysis that delves into the intriguing correlation coefficient of 0.8784258 (p < 0.01) between yogurt consumption and RCI stock price from 2002 to 2021. This robust relationship raises questions not only about the potential impact of dairy products on financial markets but also about the scope of unforeseen connections that may exist in the realm of economic indicators.
Through this exploration, we aim to contribute to the literature on unconventional correlations and to spark further discussion and research on the potential influence of dietary habits on market dynamics. With a hint of humor and a sprinkling of statistical evidence, our study offers a fresh perspective on the nexus of yogurt consumption and stock price fluctuations, inviting readers to savor the unexpected and embrace the curious interplay of factors that shape our financial world.

[[RESULTS]]
The statistical analysis of the relationship between yogurt consumption and Rogers Communications' stock price (RCI) revealed a remarkably high correlation coefficient of 0.8784258 with an r-squared value of 0.7716319, indicating a substantial association between these seemingly disparate variables. In layman's terms, it seems that yogurt and RCI stock price have been stirring more than just the financial pot!
Fig. 1 displays a scatterplot illustrating the strong positive correlation between yogurt consumption and RCI stock price. The scatterplot looks like it's been dipped in a creamy swirl of yogurt, with the data points forming an unmistakable pattern reminiscent of a delightful parfait.
The findings suggest that perhaps Wall Street should start paying closer attention to Main Street's dairy aisle. Could it be that the key to understanding stock market movements lies not in complex financial models, but in the creamy, tangy world of yogurt? This unexpected connection certainly adds a dollop of intrigue to the otherwise serious business of stock market analysis.
The robust correlation coefficient, combined with the p-value of less than 0.01, indicates that the relationship between yogurt consumption and RCI stock price is not just a flimsy correlation that will curdle under scrutiny. It's a statistically significant finding that could potentially shake up the way we think about the factors influencing stock market movements.
These results suggest that the yogurt industry may hold more sway over the stock market than previously imagined. Perhaps instead of poring over economic indicators, investors should consider perusing the dairy case at their local grocery store for insights into future stock price movements. After all, as the saying goes, "When in doubt, trust your gut" – both figuratively and literally in this case!
In conclusion, this unexpected correlation provides a whimsical tale of two seemingly unrelated variables - yogurt and stock prices - coming together in a statistical tango that keeps analysts on their toes and dairy enthusiasts reaching for their spoons. While the precise mechanisms behind this correlation remain to be fully understood, the findings of this study invite further exploration into the delightful and unexpected interplay between dietary habits and market dynamics.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In the realm of financial forecasting, where analysts typically rely on abstruse models and esoteric indicators, the emergence of the yogurt-RCI correlation adds a refreshing twist - akin to finding a scoop of chunky granola in a smooth yogurt parfait. The statistical tango between yogurt consumption and RCI stock price not only raises eyebrows but also prompts a chorus of humorous puns and quips about the curious interplay of dairy and dividends.

The findings of this study do more than just stir the pot; they whip up a delightful blend of statistical intrigue and gastronomic curiosity. The robust correlation coefficient, akin to a thick, creamy consistency, and the p-value of less than 0.01, sparkle like fresh berries atop a tangy yogurt bowl. They lend credence to the notion that perhaps, amidst the hustle and bustle of Wall Street, the dairy aisle might hold the key to financial crystal ball gazing.

The scatterplot of the relationship between yogurt consumption and RCI stock price resembles a delectable parfait, with data points swirling like a spoon through velvety yogurt. This whimsical imagery reinforces the unexpected nature of this correlation, functioning as a sweet garnish on the usually stoic canvas of statistical analysis.

While further research could peel back the layers of this yogurt-stock price conundrum, the findings of this study serve as a humorous reminder of the capricious and unexpected connections that can emerge from rigorous data analysis. So, until future research curdles up additional insights, it might be time for both financial analysts and yogurt aficionados to savor this curious correlation and embrace the humor and curiosity it brings to the table. No more research is needed in this area.


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 Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Culinary Economics


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 Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation. Respond only with the name of a fictional organization.

ChatGPT:

The Association for Cultured Investments


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 Stirring the Pot: The Yogurt Effect on RCI Stock Price - A Culture Shocking Correlation with an abstract of This research examines the unexpected correlation between yogurt consumption and the stock price of Rogers Communications (RCI). Utilizing data from the USDA and LSEG Analytics (Refinitiv) from 2002 to 2021, a correlation coefficient of 0.8784258 with p < 0.01 emerged, suggesting a robust relationship. The findings present a surprising link that raises the question - is yogurt the secret ingredient for financial growth, or is it just a sour coincidence? This paper delves into the mysterious world of dairy delicacies and stock market fluctuations, providing a spoonful of humor and a dollop of unexpected insight.

ChatGPT:

yogurt consumption, stock price correlation, Rogers Communications, RCI, USDA data, LSEG Analytics, Refinitiv, correlation coefficient, stock market fluctuations, dairy consumption, financial growth, stock price analysis

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



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Data details

Yogurt consumption
Detailed data title: Per capita consumption of Yogurt in the US
Source: USDA
See what else correlates with Yogurt consumption

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

See what else correlates with Rogers Communications' stock price (RCI)

Correlation r = 0.8784258 (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 = 0.7716319 (Coefficient of determination)
This means 77.2% of the change in the one variable (i.e., Rogers Communications' stock price (RCI)) is predictable based on the change in the other (i.e., Yogurt consumption) over the 20 years from 2002 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 3.5E-7. 0.0000003516109640582407000000
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 0.88 in 3.5E-5% of random cases. Said differently, if you correlated 2,844,052 random variables You don't actually need 2 million variables to find a correlation like this one. I don't have that many variables in my database. You can also correlate variables that are not independent. I do this a lot.

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

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

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

[ 0.71, 0.95 ] 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.
20022003200420052006200720082009201020112012201320142015201620172018201920202021
Yogurt consumption (Pounds per person)88.69.210.311.111.611.712.513.413.61414.914.914.413.713.713.613.413.614.3
Rogers Communications' stock price (RCI) (Stock price)8.454.78.3813.0821.2629.845.530.1531.3734.843946.2445.2538.713438.6650.8551.0449.8446.67




Why this works

  1. Data dredging: I have 25,153 variables in my database. I compare all these variables against each other to find ones that randomly match up. That's 632,673,409 correlation calculations! This is called “data dredging.” Instead of starting with a hypothesis and testing it, I instead abused the data to see what correlations shake out. It’s a dangerous way to go about analysis, because any sufficiently large dataset will yield strong correlations completely at random.
  2. Lack of causal connection: There is probably Because these pages are automatically generated, it's possible that the two variables you are viewing are in fact causually related. I take steps to prevent the obvious ones from showing on the site (I don't let data about the weather in one city correlate with the weather in a neighboring city, for example), but sometimes they still pop up. If they are related, cool! You found a loophole.
    no direct connection between these variables, despite what the AI says above. This is exacerbated by the fact that I used "Years" as the base variable. Lots of things happen in a year that are not related to each other! Most studies would use something like "one person" in stead of "one year" to be the "thing" studied.
  3. Observations not independent: For many variables, sequential years are not independent of each other. If a population of people is continuously doing something every day, there is no reason to think they would suddenly change how they are doing that thing on January 1. A simple Personally I don't find any p-value calculation to be 'simple,' but you know what I mean.
    p-value calculation does not take this into account, so mathematically it appears less probable than it really is.
  4. Y-axis doesn't start at zero: I truncated the Y-axes of the graph above. I also used a line graph, which makes the visual connection stand out more than it deserves. Nothing against line graphs. They are great at telling a story when you have linear data! But visually it is deceptive because the only data is at the points on the graph, not the lines on the graph. In between each point, the data could have been doing anything. Like going for a random walk by itself!
    Mathematically what I showed is true, but it is intentionally misleading. Below is the same chart but with both Y-axes starting at zero.




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([8,8.6,9.2,10.3,11.1,11.6,11.7,12.5,13.4,13.6,14,14.9,14.9,14.4,13.7,13.7,13.6,13.4,13.6,14.3,])
array_2 = np.array([8.45,4.7,8.38,13.08,21.26,29.8,45.5,30.15,31.37,34.84,39,46.24,45.25,38.71,34,38.66,50.85,51.04,49.84,46.67,])
array_1_name = "Yogurt consumption"
array_2_name = "Rogers Communications' stock price (RCI)"

# 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: 2570 · Black Variable ID: 568 · Red Variable ID: 1904
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