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Spurious correlation #3,100 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Milk consumption and the second variable is Arson in Ohio.  The chart goes from 1990 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As milk consumption decreased, there was a corresponding decrease in lactose-fueled internal fires of frustration, leading to a reduced urge to set things ablaze in Ohio. Seems like there's a real connection between dairy and incendiary behavior - who knew moo juice could be so combusti-moo-ble?

Model: dalle-3
Prompt: Generate an image of a serene Ohio countryside with a macabre twist. In the scene, depict a farmer pouring a glass of milk from a pitcher, with a group of cows peacefully grazing in a lush green pasture. However, give the sky an eerie, unsettling tone, and subtly incorporate elements that reflect a decrease in arson incidents and reduced methane emissions. For example, you could illustrate an ominous silhouette in the distance that hints at the looming threat of arson, and depict the cows emitting ghostly, faint green wisps instead of methane. The visual should captivate with a macabre ambiance, while still maintaining the tranquility of the setting. 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: Milk consumption and Arson in Ohio. 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: inspired by bauhaus Art nouveau Scalar art Woodblock painting Macabre
ChatGPT: Macabre

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 Milk consumption and Arson in Ohio, in the following situation: Because as milk consumption decreased, cows became less gassy, leading to a decrease in methane emissions. With less methane in the air, there were fewer spontaneous cow-related fires, resulting in a decrease in arson incidents in Ohio.. Keep the description simple.
ChatGPT: In a serene Ohio countryside, a farmer pours a glass of milk from a pitcher, as a group of cows peacefully graze in the lush green pasture. The clear blue sky above shows no signs of smoke or fire. The tranquil scene reflects the decrease in arson incidents in Ohio, as well as the reduced methane emissions from the cows due to decreased milk consumption.

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: [ Macabre ] and depicting this scene: In a serene Ohio countryside, a farmer pours a glass of milk from a pitcher, as a group of cows peacefully graze in the lush green pasture. The clear blue sky above shows no signs of smoke or fire. The tranquil scene reflects the decrease in arson incidents in Ohio, as well as the reduced methane emissions from the cows due to decreased milk consumption. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image of a serene Ohio countryside with a macabre twist. In the scene, depict a farmer pouring a glass of milk from a pitcher, with a group of cows peacefully grazing in a lush green pasture. However, give the sky an eerie, unsettling tone, and subtly incorporate elements that reflect a decrease in arson incidents and reduced methane emissions. For example, you could illustrate an ominous silhouette in the distance that hints at the looming threat of arson, and depict the cows emitting ghostly, faint green wisps instead of methane. The visual should captivate with a macabre ambiance, while still maintaining the tranquility of the setting.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humorous responses in the form of plausible sounding explanations for correlations. You assume the correlation is causative for the purpose of the explanation even if it is ridiculous. You do not chat with the user, you only reply with the causal connection explanation and nothing else.
User prompt: Please make up a funny explanation for how a decrease in Milk consumption caused Arson in Ohio to decrease. Add a funny one-liner at the end.

AI academic paper

(Because p < 0.01)
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

The Journal of Dairy Delinquency

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 witty academic researcher. Your writing sounds like it belongs in a statistics 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 Milk consumption and Arson in Ohio. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

Make the title punny if you can come up with clever pun. If not, just make it sound clever.

Your research team used data from USDA and FBI Criminal Justice Information Services to assess this nagging question. You found a correlation coefficient of 0.9503766 and p < 0.01 for 1990 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]]
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

[[ABSTRACT]]
This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.

The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.

The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 Milk consumption and Arson in Ohio. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Sneak in some jokes and clever puns about science, research, statistics, and the variables.

Here is the title and abstract of the paper:
[[TITLE]]
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

[[ABSTRACT]]
This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.

The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.

The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The study of causal relationships between seemingly unrelated variables has long captivated the curiosity of researchers across various disciplines. Like Sherlock Holmes in pursuit of a scientific mystery, we seek to unravel the peculiar connection between milk consumption and arson rates in the state of Ohio. It's almost as if our statistical sleuthing has led us to a proverbial dairy-tinged crime scene, where creamy evidence pointing to an unusual correlation has been discovered. One might say we are in pursuit of the "milk culprit" behind these fiery incidents, ready to crack open the case and perhaps a carton of 2% humor along the way.

In this investigation, we embarked on a statistical escapade, leveraging data from the USDA and FBI Criminal Justice Information Services to explore the interplay between milk consumption and arson incidents from 1990 to 2021. Our journey into this uncharted territory has unveiled a correlation coefficient of 0.9503766, accompanied by a p-value of less than 0.01, a statistical revelation that can only be described as "udderly astounding."

Upon stumbling upon this correlation, we were left in awe, pondering the peculiar ways in which milk and arson may be intertwined. It seems that perhaps the old saying "don't cry over spilt milk" takes on a more literal meaning, especially if it's spilt in the presence of flammable materials. One might even jest that these findings bring a whole new meaning to the concept of "hot milk."

As we burrow deeper into this statistical rabbit hole, we must remain vigilant in our quest to untangle the web of causation behind this dairy-tinged conundrum. Could it be that lactose-fueled disputes lead to heated confrontations, quite literally? The stakes are high, and not just because of the potential fire risk, as this could shed light on the unforeseen perils of dairy-driven disputes. So, let's raise a glass of milk to the bizarre and the unexpected, as we embark on the journey to apprehend the "milk culprit" behind these fiery incidents. Who knew statistics could be this dairy-daring and, dare I say, "moo-ving?"


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 Milk consumption and Arson in Ohio. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then you might move on to cartoons and children's shows that you watched for research.

Here is the title and abstract of the paper:
[[TITLE]]
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

[[ABSTRACT]]
This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.

The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.

The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The study of causal relationships between seemingly unrelated variables has long captivated the curiosity of researchers across various disciplines. Like Sherlock Holmes in pursuit of a scientific mystery, we seek to unravel the peculiar connection between milk consumption and arson rates in the state of Ohio. It's almost as if our statistical sleuthing has led us to a proverbial dairy-tinged crime scene, where creamy evidence pointing to an unusual correlation has been discovered. One might say we are in pursuit of the "milk culprit" behind these fiery incidents, ready to crack open the case and perhaps a carton of 2% humor along the way.
In this investigation, we embarked on a statistical escapade, leveraging data from the USDA and FBI Criminal Justice Information Services to explore the interplay between milk consumption and arson incidents from 1990 to 2021. Our journey into this uncharted territory has unveiled a correlation coefficient of 0.9503766, accompanied by a p-value of less than 0.01, a statistical revelation that can only be described as "udderly astounding."
Upon stumbling upon this correlation, we were left in awe, pondering the peculiar ways in which milk and arson may be intertwined. It seems that perhaps the old saying "don't cry over spilt milk" takes on a more literal meaning, especially if it's spilt in the presence of flammable materials. One might even jest that these findings bring a whole new meaning to the concept of "hot milk."
As we burrow deeper into this statistical rabbit hole, we must remain vigilant in our quest to untangle the web of causation behind this dairy-tinged conundrum. Could it be that lactose-fueled disputes lead to heated confrontations, quite literally? The stakes are high, and not just because of the potential fire risk, as this could shed light on the unforeseen perils of dairy-driven disputes. So, let's raise a glass of milk to the bizarre and the unexpected, as we embark on the journey to apprehend the "milk culprit" behind these fiery incidents. Who knew statistics could be this dairy-daring and, dare I say, "moo-ving?"

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

Smith et al. (2010) conducted a comprehensive analysis probing the correlation between per capita milk consumption and arson rates in Ohio. Their study delved into the daily intake of dairy products and its potential influence on criminal activities within the state. Furthermore, Doe and Jones (2015) investigated the temporal patterns of milk consumption and arson incidents, examining whether seasonal variations in milk consumption could be linked to changes in fire-related offenses.

It appears that milk consumption and arson rates might have a "grate" correlation, as cheesy as it may sound. As the data reveals a strong positive association, it prompts one to ponder whether feeling "cow-tent" after a glass of milk could, in fact, be the igniting factor behind these fire incidents.

In "Got Milk? The Surprising Influence of Dairy on Society" by White (2018), the author explores the societal implications of milk consumption, albeit in a less combustible context. White's work provides a broader perspective on the cultural and dietary aspects of milk, but who would have thought that this seemingly innocuous beverage could be implicated in such heated confrontations?

On a more fictional note, in "The Curious Case of Dairy Dilemmas" by Noir (2013), the author presents a whimsical narrative interweaving milk, mysteries, and mayhem. While purely a work of fiction, it does raise the unexpected possibility of dairy products leading to peculiar predicaments.

In the realm of animated interpretations, the children's show "Moo-tective Investigations" features a team of bovine detectives solving dairy-related riddles. While entertaining, their adventures shed light on the unexpected and, in this case, quite "udderly" extraordinary connections between milk and mischief.

It seems that with each turn of the proverbial milk bottle, we uncover more lactose-laden layers to this intriguing tale. Just when we thought we had seen it all, the bizarre linkage between milk consumption and arson rates in Ohio leaves us both bewildered and lactose tolerant at the same time. Who knew that investigating statistics could lead us straight to the dairy aisle of criminal mysteries? One could say we've definitely been "milking" this discovery for all it's worth.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 Milk consumption and Arson in Ohio. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 FBI Criminal Justice Information Services . You used data from 1990 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]]
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

[[ABSTRACT]]
This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.

The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.

The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.

[[INTRODUCTION]]
The study of causal relationships between seemingly unrelated variables has long captivated the curiosity of researchers across various disciplines. Like Sherlock Holmes in pursuit of a scientific mystery, we seek to unravel the peculiar connection between milk consumption and arson rates in the state of Ohio. It's almost as if our statistical sleuthing has led us to a proverbial dairy-tinged crime scene, where creamy evidence pointing to an unusual correlation has been discovered. One might say we are in pursuit of the "milk culprit" behind these fiery incidents, ready to crack open the case and perhaps a carton of 2% humor along the way.
In this investigation, we embarked on a statistical escapade, leveraging data from the USDA and FBI Criminal Justice Information Services to explore the interplay between milk consumption and arson incidents from 1990 to 2021. Our journey into this uncharted territory has unveiled a correlation coefficient of 0.9503766, accompanied by a p-value of less than 0.01, a statistical revelation that can only be described as "udderly astounding."
Upon stumbling upon this correlation, we were left in awe, pondering the peculiar ways in which milk and arson may be intertwined. It seems that perhaps the old saying "don't cry over spilt milk" takes on a more literal meaning, especially if it's spilt in the presence of flammable materials. One might even jest that these findings bring a whole new meaning to the concept of "hot milk."
As we burrow deeper into this statistical rabbit hole, we must remain vigilant in our quest to untangle the web of causation behind this dairy-tinged conundrum. Could it be that lactose-fueled disputes lead to heated confrontations, quite literally? The stakes are high, and not just because of the potential fire risk, as this could shed light on the unforeseen perils of dairy-driven disputes. So, let's raise a glass of milk to the bizarre and the unexpected, as we embark on the journey to apprehend the "milk culprit" behind these fiery incidents. Who knew statistics could be this dairy-daring and, dare I say, "moo-ving?"

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

Data Collection and Variables
The data for this study were extracted from the USDA and FBI Criminal Justice Information Services, serving as the main sources for milk consumption and arson rates in the state of Ohio from the years 1990 to 2021. The variables included monthly per capita milk consumption in gallons and the number of arson incidents reported during the same period. As we embarked on this dairy-fueled quest, we made sure not to cry over the spilt data and to handle the numbers with the caution of a dairy farmer tending to a delicate pasture.

Statistical Analysis
To investigate the relationship between milk consumption and arson rates, we first conducted descriptive statistics to gain a comprehensive understanding of the data and to milk every ounce of information available. We then employed a Pearson correlation coefficient to measure the strength and direction of the linear relationship between the two variables. The significance of the association was assessed using a two-tailed hypothesis test with a p-value of less than 0.01, ensuring that our findings were as statistically robust as they were utterly unexpected.

Causality Exploration
In addition to the statistical analysis, we embarked on a whimsical journey involving hypothetical models and exploratory data analysis to unravel the underlying mechanisms behind the curiously compelling association between milk consumption and arson rates. Like a scientific Sherlock Holmes, we ventured into the unknown, piecing together evidence in search of the elusive "milk culprit" behind the fiery incidents. Along the way, we couldn't resist the urge to sprinkle a few dairy-themed puns to keep the Moos and Muse flowing.

Spuriousness and Sensitivity Analysis
To rule out the influence of confounding variables and potential sources of bias, we conducted spuriousness and sensitivity analyses, ensuring that our findings were as pure as an unadulterated glass of milk and stood the test of statistical scrutiny. We also considered the impact of outliers and fluctuations in data trends, acknowledging the inherent unpredictability of statistical investigations, much like the capricious nature of milk turning into a catalyst for fiery mischief.

Ethical Considerations
Before concluding our statistical odyssey, we ensured that the data used in this investigation were handled with the utmost regard for ethical standards and privacy. Every statistical udder was treated with the respect and confidentiality of a milkmaid safeguarding her prized herd, ensuring that the integrity of the data remained unblemished in our pursuit of scientific illumination.

----

I hope that you find the methodology section both informative and "moo-ving"!


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 Milk consumption and Arson in Ohio. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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 FBI Criminal Justice Information Services .

For the time period 1990 to 2021, you found a correlation 0.9503766, r-squared of 0.9032156, 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]]
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

[[ABSTRACT]]
This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.

The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.

The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The study of causal relationships between seemingly unrelated variables has long captivated the curiosity of researchers across various disciplines. Like Sherlock Holmes in pursuit of a scientific mystery, we seek to unravel the peculiar connection between milk consumption and arson rates in the state of Ohio. It's almost as if our statistical sleuthing has led us to a proverbial dairy-tinged crime scene, where creamy evidence pointing to an unusual correlation has been discovered. One might say we are in pursuit of the "milk culprit" behind these fiery incidents, ready to crack open the case and perhaps a carton of 2% humor along the way.
In this investigation, we embarked on a statistical escapade, leveraging data from the USDA and FBI Criminal Justice Information Services to explore the interplay between milk consumption and arson incidents from 1990 to 2021. Our journey into this uncharted territory has unveiled a correlation coefficient of 0.9503766, accompanied by a p-value of less than 0.01, a statistical revelation that can only be described as "udderly astounding."
Upon stumbling upon this correlation, we were left in awe, pondering the peculiar ways in which milk and arson may be intertwined. It seems that perhaps the old saying "don't cry over spilt milk" takes on a more literal meaning, especially if it's spilt in the presence of flammable materials. One might even jest that these findings bring a whole new meaning to the concept of "hot milk."
As we burrow deeper into this statistical rabbit hole, we must remain vigilant in our quest to untangle the web of causation behind this dairy-tinged conundrum. Could it be that lactose-fueled disputes lead to heated confrontations, quite literally? The stakes are high, and not just because of the potential fire risk, as this could shed light on the unforeseen perils of dairy-driven disputes. So, let's raise a glass of milk to the bizarre and the unexpected, as we embark on the journey to apprehend the "milk culprit" behind these fiery incidents. Who knew statistics could be this dairy-daring and, dare I say, "moo-ving?"

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The investigation into the curious connection between milk consumption and arson rates in Ohio produced some truly astounding findings. Our statistical analysis revealed a remarkably high correlation coefficient of 0.9503766, indicative of a strong positive relationship between the two variables. The r-squared value of 0.9032156 further corroborated the robustness of this connection, capturing over 90% of the variation in arson rates explained by changes in milk consumption.

The p-value of less than 0.01 suggested that the observed correlation was unlikely to have occurred by random chance, providing compelling evidence of a significant association between milk consumption and arson incidence in the state of Ohio. It seems that the age-old saying "where there's smoke, there's fire" may have gained an unsuspected dairy twist, or should I say, "dairy-arson twist"?

The correlation between milk consumption and arson rates is humorously depicted in Fig. 1, where the scatterplot vividly portrays the strong positive relationship between the two variables. It's as clear as day that as milk consumption increases, arson rates also tend to soar, drawing a seemingly peculiar yet undeniably robust link between these unsuspecting bedfellows. "Looks like these two variables are quite the 'hot' pair," one might quip.

These perplexing findings raise thought-provoking questions about the underlying mechanisms behind this unexpected association. Could it be that heated debates over milk preferences are escalating to more incendiary confrontations? The implications of this research stretch beyond mere statistical quirks and delve into the potential societal impacts of dairy-related discord. It seems that this study has lent new meaning to the adage "don't play with fire," especially if it involves a glass of milk and a fiery temper.

In light of these results, it appears that the age-old rivalry between milk and arson has not only been statistically established but also serves as a whimsical reminder of the unpredictability in the world of research. After all, who would have expected that a statistical pursuit would lead us to ponder the dairy dilemmas at the heart of arson incidents? It seems that the realms of science and investigation are full of surprises, or should I say, "moo-re than meets the eye."


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 Milk consumption and Arson in Ohio. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

[[ABSTRACT]]
This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.

The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.

The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.

[[LITERATURE REVIEW]]
Smith et al. (2010) conducted a comprehensive analysis probing the correlation between per capita milk consumption and arson rates in Ohio. Their study delved into the daily intake of dairy products and its potential influence on criminal activities within the state. Furthermore, Doe and Jones (2015) investigated the temporal patterns of milk consumption and arson incidents, examining whether seasonal variations in milk consumption could be linked to changes in fire-related offenses.
It appears that milk consumption and arson rates might have a "grate" correlation, as cheesy as it may sound. As the data reveals a strong positive association, it prompts one to ponder whether feeling "cow-tent" after a glass of milk could, in fact, be the igniting factor behind these fire incidents.
In "Got Milk? The Surprising Influence of Dairy on Society" by White (2018), the author explores the societal implications of milk consumption, albeit in a less combustible context. White's work provides a broader perspective on the cultural and dietary aspects of milk, but who would have thought that this seemingly innocuous beverage could be implicated in such heated confrontations?
On a more fictional note, in "The Curious Case of Dairy Dilemmas" by Noir (2013), the author presents a whimsical narrative interweaving milk, mysteries, and mayhem. While purely a work of fiction, it does raise the unexpected possibility of dairy products leading to peculiar predicaments.
In the realm of animated interpretations, the children's show "Moo-tective Investigations" features a team of bovine detectives solving dairy-related riddles. While entertaining, their adventures shed light on the unexpected and, in this case, quite "udderly" extraordinary connections between milk and mischief.
It seems that with each turn of the proverbial milk bottle, we uncover more lactose-laden layers to this intriguing tale. Just when we thought we had seen it all, the bizarre linkage between milk consumption and arson rates in Ohio leaves us both bewildered and lactose tolerant at the same time. Who knew that investigating statistics could lead us straight to the dairy aisle of criminal mysteries? One could say we've definitely been "milking" this discovery for all it's worth.

[[RESULTS]]
The investigation into the curious connection between milk consumption and arson rates in Ohio produced some truly astounding findings. Our statistical analysis revealed a remarkably high correlation coefficient of 0.9503766, indicative of a strong positive relationship between the two variables. The r-squared value of 0.9032156 further corroborated the robustness of this connection, capturing over 90% of the variation in arson rates explained by changes in milk consumption.
The p-value of less than 0.01 suggested that the observed correlation was unlikely to have occurred by random chance, providing compelling evidence of a significant association between milk consumption and arson incidence in the state of Ohio. It seems that the age-old saying "where there's smoke, there's fire" may have gained an unsuspected dairy twist, or should I say, "dairy-arson twist"?
The correlation between milk consumption and arson rates is humorously depicted in Fig. 1, where the scatterplot vividly portrays the strong positive relationship between the two variables. It's as clear as day that as milk consumption increases, arson rates also tend to soar, drawing a seemingly peculiar yet undeniably robust link between these unsuspecting bedfellows. "Looks like these two variables are quite the 'hot' pair," one might quip.
These perplexing findings raise thought-provoking questions about the underlying mechanisms behind this unexpected association. Could it be that heated debates over milk preferences are escalating to more incendiary confrontations? The implications of this research stretch beyond mere statistical quirks and delve into the potential societal impacts of dairy-related discord. It seems that this study has lent new meaning to the adage "don't play with fire," especially if it involves a glass of milk and a fiery temper.
In light of these results, it appears that the age-old rivalry between milk and arson has not only been statistically established but also serves as a whimsical reminder of the unpredictability in the world of research. After all, who would have expected that a statistical pursuit would lead us to ponder the dairy dilemmas at the heart of arson incidents? It seems that the realms of science and investigation are full of surprises, or should I say, "moo-re than meets the eye."

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of this study have undoubtedly churned up a rich and creamy blend of statistical significance, highlighting an unexpected connection between milk consumption and arson rates in Ohio. Our findings align with previous research by Smith et al. (2010) and Doe and Jones (2015), illustrating a striking correlation that reflects a "grate" influence of milk on arson incidents. It seems that the notion of lactose-laden feuds and heated dairy debates isn't just a cheesy speculation after all--sometimes the truth is stranger than fiction.

Our analysis has unraveled a robust association between milk consumption and arson rates, leaving us with an intriguing mystery to ponder. It's as if these variables have been engaging in a secret "moovement" that has finally come to light, shedding an unexpected spotlight on the seemingly innocuous world of dairy products. As the data suggests, it's not just the milk that's getting heated--the statistics also reflect some rather fiery relationships.

The statistical measures, including the high correlation coefficient and the convincingly low p-value, provide strong evidence supporting the significant connection between milk consumption and arson rates. It's amazing what can be uncovered when delving into the milky depths of statistical analysis--who knew that following the trail of dairy could lead to such "udderly" intriguing discoveries?

The scatterplot vividly illustrates the "hot" relationship between milk consumption and arson rates, serving as a quirky reminder that statistical research isn't always black and white--sometimes it's pasteurized and flammable. This whimsical connection between dairy products and criminal behavior emphasizes the unexpected twists that can emerge from rigorous statistical investigation. It seems we've stumbled upon a rather unique "moo-rder mystery" of our own.

In sum, our findings not only validate previous research but also add a touch of "dairy-daring" to the statistical landscape. It's a reminder that science and statistics can often lead us down unexpected paths, uncovering dairy-related conundrums that are truly "legendairy" in their peculiarity. This study has undeniably milked the statistical significance of milk's influence on arson rates, leaving us with a flavor of research that is as unexpected as it is enlightening.


Model: gpt-3.5-turbo-1106
System prompt: You are a witty academic researcher. Your writing sounds like it belongs in a statistics 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 Milk consumption and Arson in Ohio. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. 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]]
Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio

[[ABSTRACT]]
This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.

The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.

The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.

[[INTRDUCTION]]
The study of causal relationships between seemingly unrelated variables has long captivated the curiosity of researchers across various disciplines. Like Sherlock Holmes in pursuit of a scientific mystery, we seek to unravel the peculiar connection between milk consumption and arson rates in the state of Ohio. It's almost as if our statistical sleuthing has led us to a proverbial dairy-tinged crime scene, where creamy evidence pointing to an unusual correlation has been discovered. One might say we are in pursuit of the "milk culprit" behind these fiery incidents, ready to crack open the case and perhaps a carton of 2% humor along the way.
In this investigation, we embarked on a statistical escapade, leveraging data from the USDA and FBI Criminal Justice Information Services to explore the interplay between milk consumption and arson incidents from 1990 to 2021. Our journey into this uncharted territory has unveiled a correlation coefficient of 0.9503766, accompanied by a p-value of less than 0.01, a statistical revelation that can only be described as "udderly astounding."
Upon stumbling upon this correlation, we were left in awe, pondering the peculiar ways in which milk and arson may be intertwined. It seems that perhaps the old saying "don't cry over spilt milk" takes on a more literal meaning, especially if it's spilt in the presence of flammable materials. One might even jest that these findings bring a whole new meaning to the concept of "hot milk."
As we burrow deeper into this statistical rabbit hole, we must remain vigilant in our quest to untangle the web of causation behind this dairy-tinged conundrum. Could it be that lactose-fueled disputes lead to heated confrontations, quite literally? The stakes are high, and not just because of the potential fire risk, as this could shed light on the unforeseen perils of dairy-driven disputes. So, let's raise a glass of milk to the bizarre and the unexpected, as we embark on the journey to apprehend the "milk culprit" behind these fiery incidents. Who knew statistics could be this dairy-daring and, dare I say, "moo-ving?"

[[RESULTS]]
The investigation into the curious connection between milk consumption and arson rates in Ohio produced some truly astounding findings. Our statistical analysis revealed a remarkably high correlation coefficient of 0.9503766, indicative of a strong positive relationship between the two variables. The r-squared value of 0.9032156 further corroborated the robustness of this connection, capturing over 90% of the variation in arson rates explained by changes in milk consumption.
The p-value of less than 0.01 suggested that the observed correlation was unlikely to have occurred by random chance, providing compelling evidence of a significant association between milk consumption and arson incidence in the state of Ohio. It seems that the age-old saying "where there's smoke, there's fire" may have gained an unsuspected dairy twist, or should I say, "dairy-arson twist"?
The correlation between milk consumption and arson rates is humorously depicted in Fig. 1, where the scatterplot vividly portrays the strong positive relationship between the two variables. It's as clear as day that as milk consumption increases, arson rates also tend to soar, drawing a seemingly peculiar yet undeniably robust link between these unsuspecting bedfellows. "Looks like these two variables are quite the 'hot' pair," one might quip.
These perplexing findings raise thought-provoking questions about the underlying mechanisms behind this unexpected association. Could it be that heated debates over milk preferences are escalating to more incendiary confrontations? The implications of this research stretch beyond mere statistical quirks and delve into the potential societal impacts of dairy-related discord. It seems that this study has lent new meaning to the adage "don't play with fire," especially if it involves a glass of milk and a fiery temper.
In light of these results, it appears that the age-old rivalry between milk and arson has not only been statistically established but also serves as a whimsical reminder of the unpredictability in the world of research. After all, who would have expected that a statistical pursuit would lead us to ponder the dairy dilemmas at the heart of arson incidents? It seems that the realms of science and investigation are full of surprises, or should I say, "moo-re than meets the eye."

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In conclusion, our investigation into the perplexing relationship between milk consumption and arson rates in Ohio has yielded results that are as unexpected as they are intriguing. The remarkably high correlation coefficient, along with the minuscule p-value, unequivocally points to a substantial association between these seemingly unrelated variables. It appears that the age-old rivalry between milk and arson has not only been statistically established but also serves as a whimsical reminder of the unpredictability in the world of research. After all, who would have expected that a statistical pursuit would lead us to ponder the dairy dilemmas at the heart of arson incidents? It's clear that milk consumption and heated incidents go together like two wrongs, making a right - and maybe a fire.

These findings, while certainly lighthearted at first glance, raise thought-provoking questions about the potential mechanisms behind this unanticipated connection. Could it be that a spilled glass of milk could fuel not just a mess but also a flaming dispute? It seems that when it comes to dairy drama, the heat truly is on, or should I say "lactose the better judgment"?

In light of these results, it is evident that no more research is needed in this area. It's time to close the book on this dairy-fueled conundrum, lest we churn out even more cheesy puns and spread ourselves too thin. As the saying goes, "don't cry over spilt milk, especially if it ignited the fire." Let's leave these curiously quirky findings to simmer, proving once and for all that in the world of research, there's always room for a good laugh – and maybe a tall glass of fire-extinguishing milk.


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 Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Dairy Delinquency


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 Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Dairy-Related Unusual Phenomena Research (SDUPR)


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 Got Milk? Exploring the Bizarre Link between Milk Consumption and Arson Rates in Ohio with an abstract of This research paper delves into the curious and rather unexpected relationship between milk consumption and arson rates in the state of Ohio. Leveraging data from the USDA and FBI Criminal Justice Information Services spanning the years 1990 to 2021, our findings reveal a remarkable correlation coefficient of 0.9503766, with a p-value of less than 0.01, suggesting a significant association between these factors.
The study uncovers a positively amusing link between increased milk consumption and a rise in arson incidents within the state. It seems that the classic duo of milk and cereal might be causing more heated situations than just adding warmth to morning meals. "Looks like milk isn't just good for strong bones, but also for stirring up some fiery trouble," as one might jest.
The implications of these findings are not only intriguing but also raise the question of whether lactose-laden feuds could be contributing to an uptick in fire-related incidents. There is a need for further exploration into the underlying mechanisms that drive this quirky association, potentially shedding light on the untold hazards of dairy-driven disputes. In the meantime, it might be wise to approach heated debates over breakfast beverages with caution and a pinch of humor – after all, we can't cry over spilt milk, especially if it's also spilt with a matchstick in hand.

ChatGPT:

milk consumption, arson rates, Ohio, USDA data, FBI Criminal Justice Information Services, correlation coefficient, p-value, cereal, lactose feuds, fire-related incidents, dairy-driven disputes, breakfast beverages

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



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Data details

Milk consumption
Detailed data title: Per capita consumption of Fluid beverage milk in the US
Source: USDA
See what else correlates with Milk consumption

Arson in Ohio
Detailed data title: The arson rate per 100,000 residents in Ohio
Source: FBI Criminal Justice Information Services
See what else correlates with Arson in Ohio

Correlation r = 0.9503766 (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 = 0.9032156 (Coefficient of determination)
This means 90.3% of the change in the one variable (i.e., Arson in Ohio) is predictable based on the change in the other (i.e., Milk consumption) over the 32 years from 1990 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 9.3E-17. 0.0000000000000000927902321585
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 0.95 in 9.3E-15% of random cases. Said differently, if you correlated 10,776,996,422,337,278 random variables You don't actually need 10 quadrillion 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 31 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 31 because we have two variables measured over a period of 32 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.

[ 0.9, 0.98 ] 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.
19901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Milk consumption (Pounds per person)220218215210208205205201198197196192191188185185185183181181177173169164158155153149145141141134
Arson in Ohio (Arson rate)48.548.845.741.946.840.74332.231.429.629.437.134.528.330.42934.834.131.830.128.226.730.82318.621.121.812.511.510.713.99.2




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([220,218,215,210,208,205,205,201,198,197,196,192,191,188,185,185,185,183,181,181,177,173,169,164,158,155,153,149,145,141,141,134,])
array_2 = np.array([48.5,48.8,45.7,41.9,46.8,40.7,43,32.2,31.4,29.6,29.4,37.1,34.5,28.3,30.4,29,34.8,34.1,31.8,30.1,28.2,26.7,30.8,23,18.6,21.1,21.8,12.5,11.5,10.7,13.9,9.2,])
array_1_name = "Milk consumption"
array_2_name = "Arson in Ohio"

# 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: 3100 · Black Variable ID: 554 · Red Variable ID: 20064
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