about · email me · subscribe
Spurious correlation #2,527 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Hydopower energy generated in Burundi and the second variable is Cost to send a letter via the USPS.  The chart goes from 2006 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As the hydropower output in Burundi surged, it created a ripple effect on the world economy. With Burundi's increased energy, there was a shocking spike in the production of paper globally. This, in turn, led to a surge in the cost of sending a letter via USPS, as they had to shell out more for paper products. It seems the Burundian hydropower success story made waves in the most unexpected ways, causing the price to stamp out all competition!

Model: dalle-3
Prompt: Generate an image showing a scene with a rushing river in Burundi, flowing through a hydroelectric dam with water gushing and turning the turbines. Mischievous otters playfully redirecting envelopes and packages to their dam, rearranging them in an attempt to start their own water delivery service. A confused postal worker looks on as the otters create chaos. The overall atmosphere should be humorous and lively, with a blend of natural and comical elements. 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: Hydopower energy generated in Burundi and Cost to send a letter via the USPS. 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 meme Futuristic Psychedelic Data cyber art a meme
ChatGPT: Hilarious meme

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 Hydopower energy generated in Burundi and Cost to send a letter via the USPS, in the following situation: As the water flow increased, it inadvertently powered up a group of mischievous otters who kept redirecting the mail to their dam instead. It seems like the otters were trying to start their own water delivery service!. Keep the description simple.
ChatGPT: In Burundi, a rushing river provides energy for a hydroelectric dam, with water gushing and turning the turbines. Meanwhile, a group of mischievous otters playfully redirect envelopes and packages to their dam, rearranging them in attempt to start their own water delivery service. A postal worker looks on in confusion as the otters create chaos.

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: [ Hilarious meme ] and depicting this scene: In Burundi, a rushing river provides energy for a hydroelectric dam, with water gushing and turning the turbines. Meanwhile, a group of mischievous otters playfully redirect envelopes and packages to their dam, rearranging them in attempt to start their own water delivery service. A postal worker looks on in confusion as the otters create chaos. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: Generate an image showing a scene with a rushing river in Burundi, flowing through a hydroelectric dam with water gushing and turning the turbines. Mischievous otters playfully redirecting envelopes and packages to their dam, rearranging them in an attempt to start their own water delivery service. A confused postal worker looks on as the otters create chaos. The overall atmosphere should be humorous and lively, with a blend of natural and comical elements.

*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 Hydopower energy generated in Burundi caused Cost to send a letter via the USPS to increase. Include one good pun.

AI academic paper

(Because p < 0.01)
Surge in Hydropower: Making Waves in US Postal Rates

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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Hydopower energy generated in Burundi and Cost to send a letter via the USPS. Make lots of jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from Energy Information Administration and US Postal Service to assess this nagging question. You found a correlation coefficient of 0.9354594 and p < 0.01 for 2006 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]]
"Surge in Hydropower: Making Waves in US Postal Rates"

[[ABSTRACT]]
This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Hydopower energy generated in Burundi and Cost to send a letter via the USPS. Make lots of jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
"Surge in Hydropower: Making Waves in US Postal Rates"

[[ABSTRACT]]
This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
Hydropower, the force of nature harnessed to generate electricity, has long been a source of fascination for scientists and engineers alike. Its ability to turn turbines and power communities has an undeniable ripple effect across various aspects of society. As researchers delving into the depths of energy economics, we find ourselves navigating uncharted waters to uncover the unexpected connections between hydropower energy generation in Burundi and the seemingly unrelated cost to send a letter via the United States Postal Service (USPS).

Some might scoff at the notion of a correlation between Burundi's hydroelectricity and USPS rates, suggesting that it's all just a watery tale. However, our team has doggedly pursued this line of inquiry, determined to test the waters of this intriguing relationship. After all, in the world of scientific inquiry, one must not be afraid to make a splash or two.

Imagine our surprise when our initial foray into the data revealed a current that was anything but lukewarm. The correlation coefficient of 0.9354594 left us all afloat, and the statistically significant p-value of less than 0.01 had us all riding waves of excitement. What emerged was a surprising revelation that made us realize we had stumbled upon an undercurrent of connection that had previously gone unnoticed.

The world of energy economics can sometimes feel as deep and impenetrable as the Marianas Trench, while postal studies may seem as routine as the daily mail delivery. But our findings have shown that there can be unexpected treasures waiting to be discovered when we dare to dive beneath the surface and explore the depths.

As we unveil our findings, we hope to ride the waves of curiosity and inspire others to join in the exploration of these seemingly disparate domains. It's not every day that one gets the chance to bridge the gap between hydropower and postal rates, and we intend to make the most of this wave of discovery.

So, buckle up for an academic adventure that promises to be part hydroelectric rollercoaster, part postal puzzle, and all scientific surfboard. It's time to sail into uncharted waters and see where the tide takes us.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Hydopower energy generated in Burundi and Cost to send a letter via the USPS. 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]]
"Surge in Hydropower: Making Waves in US Postal Rates"

[[ABSTRACT]]
This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Hydropower, the force of nature harnessed to generate electricity, has long been a source of fascination for scientists and engineers alike. Its ability to turn turbines and power communities has an undeniable ripple effect across various aspects of society. As researchers delving into the depths of energy economics, we find ourselves navigating uncharted waters to uncover the unexpected connections between hydropower energy generation in Burundi and the seemingly unrelated cost to send a letter via the United States Postal Service (USPS).
Some might scoff at the notion of a correlation between Burundi's hydroelectricity and USPS rates, suggesting that it's all just a watery tale. However, our team has doggedly pursued this line of inquiry, determined to test the waters of this intriguing relationship. After all, in the world of scientific inquiry, one must not be afraid to make a splash or two.
Imagine our surprise when our initial foray into the data revealed a current that was anything but lukewarm. The correlation coefficient of 0.9354594 left us all afloat, and the statistically significant p-value of less than 0.01 had us all riding waves of excitement. What emerged was a surprising revelation that made us realize we had stumbled upon an undercurrent of connection that had previously gone unnoticed.
The world of energy economics can sometimes feel as deep and impenetrable as the Marianas Trench, while postal studies may seem as routine as the daily mail delivery. But our findings have shown that there can be unexpected treasures waiting to be discovered when we dare to dive beneath the surface and explore the depths.
As we unveil our findings, we hope to ride the waves of curiosity and inspire others to join in the exploration of these seemingly disparate domains. It's not every day that one gets the chance to bridge the gap between hydropower and postal rates, and we intend to make the most of this wave of discovery.
So, buckle up for an academic adventure that promises to be part hydroelectric rollercoaster, part postal puzzle, and all scientific surfboard. It's time to sail into uncharted waters and see where the tide takes us.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The connection between hydropower energy generated in Burundi and the cost to send a letter via the United States Postal Service (USPS) has perplexed researchers for years. Smith et al. (2015) conducted a comprehensive study on global energy patterns but failed to make the leap to postal services, leaving their work high and dry in terms of USPS relevance. Doe and Jones (2018) compromised their study of postal rates by neglecting to consider the impact of hydroelectricity in East Africa, leaving a gaping hole in the understanding of this vital connection.

In "Energy and Society: An Introduction" by Boudet et al. (2018), the authors highlight the importance of sustainable energy sources and their impact on society. While the book delves into the societal implications of energy, it regrettably overlooks the potential impact of Burundi's hydropower on international postal rates, leaving readers stranded on the shore of ignorance.

On a more whimsical note, "The Power of the Letter: The Secret Lives of Mailboxes" by Swift (2019) delves into the cultural significance of letter-writing and the mystique of mail delivery. While it doesn't directly address the impact of hydropower, it certainly sends a stream of curiosity trickling through the reader's mind.

We took a deep dive into the world of fiction to uncover potential connections. "The Shipping News" by Proulx (1993) may sound like a promising source for insights into USPS operations, but unfortunately, it fails to deliver any information on global energy economics or Burundian hydropower.

Furthering our research, we decided to inundate ourselves with TV shows that might shed light on our peculiar connection. "Riverdale" and "Power" seemed like promising watchlists, given their water and energy themes, but alas, they did little to illuminate the connection between Burundi's hydropower and USPS rates.

As we trawl through the seas of literature, it becomes clear that the connection between Burundi's hydropower and USPS rates is a whale of a mystery, one that eludes even the most seasoned of researchers. However, fear not, dear reader, for we are determined to navigate these uncharted waters and emerge victoriously with a treasure trove of knowledge and perhaps a few puns along the way.

Next, we will plunge into the methodology, navigating the tides of data collection and analysis. Prepare to be awash in a sea of statistical significance and hydro-humor as we embark on this academic odyssey.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Hydopower energy generated in Burundi and Cost to send a letter via the USPS. Make lots of jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and US Postal Service . You used data from 2006 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]]
"Surge in Hydropower: Making Waves in US Postal Rates"

[[ABSTRACT]]
This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.

[[INTRODUCTION]]
Hydropower, the force of nature harnessed to generate electricity, has long been a source of fascination for scientists and engineers alike. Its ability to turn turbines and power communities has an undeniable ripple effect across various aspects of society. As researchers delving into the depths of energy economics, we find ourselves navigating uncharted waters to uncover the unexpected connections between hydropower energy generation in Burundi and the seemingly unrelated cost to send a letter via the United States Postal Service (USPS).
Some might scoff at the notion of a correlation between Burundi's hydroelectricity and USPS rates, suggesting that it's all just a watery tale. However, our team has doggedly pursued this line of inquiry, determined to test the waters of this intriguing relationship. After all, in the world of scientific inquiry, one must not be afraid to make a splash or two.
Imagine our surprise when our initial foray into the data revealed a current that was anything but lukewarm. The correlation coefficient of 0.9354594 left us all afloat, and the statistically significant p-value of less than 0.01 had us all riding waves of excitement. What emerged was a surprising revelation that made us realize we had stumbled upon an undercurrent of connection that had previously gone unnoticed.
The world of energy economics can sometimes feel as deep and impenetrable as the Marianas Trench, while postal studies may seem as routine as the daily mail delivery. But our findings have shown that there can be unexpected treasures waiting to be discovered when we dare to dive beneath the surface and explore the depths.
As we unveil our findings, we hope to ride the waves of curiosity and inspire others to join in the exploration of these seemingly disparate domains. It's not every day that one gets the chance to bridge the gap between hydropower and postal rates, and we intend to make the most of this wave of discovery.
So, buckle up for an academic adventure that promises to be part hydroelectric rollercoaster, part postal puzzle, and all scientific surfboard. It's time to sail into uncharted waters and see where the tide takes us.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unravel the enigmatic connection between hydropower energy generation in Burundi and the cost of sending mail through the USPS, our research team embarked on a merry journey through the caverns of data analysis and statistical exploration.

First, we made a splash by diving into the vast ocean of information provided by the Energy Information Administration and the USPS. We rode the waves of cyberspace, navigating the tempestuous seas of public databases and reports to gather data spanning from 2006 to 2021. Armed with our electronic compasses and digital snorkels, we embarked on a nautical adventure through the tumultuous currents of online data sources, carefully navigating the treacherous waters of online data extraction.

Then, we cast our proverbial fishing net wide, ensnaring a plethora of data points related to hydropower energy generation in Burundi, and USPS rates for mailing letters across different weight categories. Our crew of researchers diligently sifted through the maritime treasure trove of data, ensuring that no data point slipped through the holes of our net.

Having gathered a boatload of data, we then hoisted our sails and set course for the island of Statistical Analysis. Our ship, christened the HMS Correlation, braved the turbulent waters of hypothesis testing and regression analysis. We fed our data into the navigational instruments of statistical software, allowing us to chart a course through the choppy waters of correlation coefficients and p-values.

Utilizing the noble tools of econometric modeling, we wielded our statistical sextants with unwavering precision, determining the strength and significance of the relationship between hydropower energy generation in Burundi and USPS rates. As we navigated through the stormy seas of numerical analysis, we remained undaunted, knowing that our quest for scientific insight was anchored in a sea of academic rigor.

In the end, with our sails billowing triumphantly in the winds of discovery, we emerged from the statistical squall with a high correlation coefficient of 0.9354594 and a p-value of less than 0.01, providing incontrovertible evidence of a robust association between hydropower energy generation in Burundi and USPS rates. Our adventure in data analysis had navigated tumultuous waters filled with uncertainty, but the lighthouse of statistical significance guided us safely to the shores of academic enlightenment.

Thus, with our research vessel having weathered the stormy seas of methodology, we proudly present our findings, etched upon the parchment of scientific inquiry, and illuminated by the lighthouse of statistical significance.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Hydopower energy generated in Burundi and Cost to send a letter via the USPS. Make lots of jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and US Postal Service .

For the time period 2006 to 2021, you found a correlation 0.9354594, r-squared of 0.8750844, 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]]
"Surge in Hydropower: Making Waves in US Postal Rates"

[[ABSTRACT]]
This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Hydropower, the force of nature harnessed to generate electricity, has long been a source of fascination for scientists and engineers alike. Its ability to turn turbines and power communities has an undeniable ripple effect across various aspects of society. As researchers delving into the depths of energy economics, we find ourselves navigating uncharted waters to uncover the unexpected connections between hydropower energy generation in Burundi and the seemingly unrelated cost to send a letter via the United States Postal Service (USPS).
Some might scoff at the notion of a correlation between Burundi's hydroelectricity and USPS rates, suggesting that it's all just a watery tale. However, our team has doggedly pursued this line of inquiry, determined to test the waters of this intriguing relationship. After all, in the world of scientific inquiry, one must not be afraid to make a splash or two.
Imagine our surprise when our initial foray into the data revealed a current that was anything but lukewarm. The correlation coefficient of 0.9354594 left us all afloat, and the statistically significant p-value of less than 0.01 had us all riding waves of excitement. What emerged was a surprising revelation that made us realize we had stumbled upon an undercurrent of connection that had previously gone unnoticed.
The world of energy economics can sometimes feel as deep and impenetrable as the Marianas Trench, while postal studies may seem as routine as the daily mail delivery. But our findings have shown that there can be unexpected treasures waiting to be discovered when we dare to dive beneath the surface and explore the depths.
As we unveil our findings, we hope to ride the waves of curiosity and inspire others to join in the exploration of these seemingly disparate domains. It's not every day that one gets the chance to bridge the gap between hydropower and postal rates, and we intend to make the most of this wave of discovery.
So, buckle up for an academic adventure that promises to be part hydroelectric rollercoaster, part postal puzzle, and all scientific surfboard. It's time to sail into uncharted waters and see where the tide takes us.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The results of our study reveal a captivating connection between hydropower energy generation in Burundi and the cost to send a letter via the USPS. Our data analysis uncovered a remarkably strong correlation coefficient of 0.9354594, indicating a powerful relationship between these seemingly disparate variables. Furthermore, the high R-squared value of 0.8750844 suggests that a significant proportion of the variability in USPS rates can be explained by changes in hydropower energy generated in Burundi.

In accordance with our findings, we constructed a scatterplot (Figure 1) to visually depict the striking relationship between hydropower energy generation in Burundi and the cost to send a letter via the USPS. The scatterplot showcases how these variables ebb and flow in unison, providing a clear demonstration of their interconnected nature.

It’s as if these two elements are tied together by a current that we're only now beginning to understand. This unexpected bond between a landlocked African nation's energy production and the postal services in the United States makes for a captivating tale of discovery.

The statistically significant p-value of less than 0.01 further underscores the robustness and credibility of our findings, substantiating the notion that there is more to this correlation than mere happenstance. The implications of such an impactful relationship between these distinct factors are vast and warrant further exploration.

Our results not only contribute to the body of knowledge in energy economics and postal studies but also serve as a reminder that scientific inquiry is filled with unexpected twists and turns. Just when we thought we had seen it all, a new revelation emerges, making waves and challenging our preconceived notions.

In conclusion, the correlation between hydropower energy generation in Burundi and the cost to send a letter via the USPS is a profound and thought-provoking discovery that opens the floodgates to a sea of possibilities. As we navigate the ever-changing tides of research, these findings remind us of the interconnectedness of the world around us, and the unforeseen connections that await those who dare to dive deep into the data.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Hydopower energy generated in Burundi and Cost to send a letter via the USPS. Make lots of jokes, goofy observations, and puns.

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]]
"Surge in Hydropower: Making Waves in US Postal Rates"

[[ABSTRACT]]
This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.

[[LITERATURE REVIEW]]
The connection between hydropower energy generated in Burundi and the cost to send a letter via the United States Postal Service (USPS) has perplexed researchers for years. Smith et al. (2015) conducted a comprehensive study on global energy patterns but failed to make the leap to postal services, leaving their work high and dry in terms of USPS relevance. Doe and Jones (2018) compromised their study of postal rates by neglecting to consider the impact of hydroelectricity in East Africa, leaving a gaping hole in the understanding of this vital connection.
In "Energy and Society: An Introduction" by Boudet et al. (2018), the authors highlight the importance of sustainable energy sources and their impact on society. While the book delves into the societal implications of energy, it regrettably overlooks the potential impact of Burundi's hydropower on international postal rates, leaving readers stranded on the shore of ignorance.
On a more whimsical note, "The Power of the Letter: The Secret Lives of Mailboxes" by Swift (2019) delves into the cultural significance of letter-writing and the mystique of mail delivery. While it doesn't directly address the impact of hydropower, it certainly sends a stream of curiosity trickling through the reader's mind.
We took a deep dive into the world of fiction to uncover potential connections. "The Shipping News" by Proulx (1993) may sound like a promising source for insights into USPS operations, but unfortunately, it fails to deliver any information on global energy economics or Burundian hydropower.
Furthering our research, we decided to inundate ourselves with TV shows that might shed light on our peculiar connection. "Riverdale" and "Power" seemed like promising watchlists, given their water and energy themes, but alas, they did little to illuminate the connection between Burundi's hydropower and USPS rates.
As we trawl through the seas of literature, it becomes clear that the connection between Burundi's hydropower and USPS rates is a whale of a mystery, one that eludes even the most seasoned of researchers. However, fear not, dear reader, for we are determined to navigate these uncharted waters and emerge victoriously with a treasure trove of knowledge and perhaps a few puns along the way.
Next, we will plunge into the methodology, navigating the tides of data collection and analysis. Prepare to be awash in a sea of statistical significance and hydro-humor as we embark on this academic odyssey.

[[RESULTS]]
The results of our study reveal a captivating connection between hydropower energy generation in Burundi and the cost to send a letter via the USPS. Our data analysis uncovered a remarkably strong correlation coefficient of 0.9354594, indicating a powerful relationship between these seemingly disparate variables. Furthermore, the high R-squared value of 0.8750844 suggests that a significant proportion of the variability in USPS rates can be explained by changes in hydropower energy generated in Burundi.
In accordance with our findings, we constructed a scatterplot (Figure 1) to visually depict the striking relationship between hydropower energy generation in Burundi and the cost to send a letter via the USPS. The scatterplot showcases how these variables ebb and flow in unison, providing a clear demonstration of their interconnected nature.
It’s as if these two elements are tied together by a current that we're only now beginning to understand. This unexpected bond between a landlocked African nation's energy production and the postal services in the United States makes for a captivating tale of discovery.
The statistically significant p-value of less than 0.01 further underscores the robustness and credibility of our findings, substantiating the notion that there is more to this correlation than mere happenstance. The implications of such an impactful relationship between these distinct factors are vast and warrant further exploration.
Our results not only contribute to the body of knowledge in energy economics and postal studies but also serve as a reminder that scientific inquiry is filled with unexpected twists and turns. Just when we thought we had seen it all, a new revelation emerges, making waves and challenging our preconceived notions.
In conclusion, the correlation between hydropower energy generation in Burundi and the cost to send a letter via the USPS is a profound and thought-provoking discovery that opens the floodgates to a sea of possibilities. As we navigate the ever-changing tides of research, these findings remind us of the interconnectedness of the world around us, and the unforeseen connections that await those who dare to dive deep into the data.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The buoyancy of our findings not only makes a splash in the scientific community but also bubbles over with implications and possibilities. Our discovery of a strong correlation between Burundi's hydropower and USPS rates certainly lends a current of excitement to the field of energy economics and postal studies.

The correlation coefficient of 0.9354594 that emerged from our analysis seems to have woven a complex web of interdependence between these seemingly unrelated variables, much like a school of fish swimming in perfect harmony. It is as if the flow of hydroelectric power in Burundi is like a tidal wave, exerting an unseen force on the costs of sending a letter via USPS services. Who would have thought that far-off hydroelectric activity could ripple through to impact postal rates stateside?

Our results support the prior research in a way that could make even the most steadfast skeptic shake like a ship caught in a storm. Emphasizing on the serious importance of this connection, we find it amusing to see how prior attempts to address this correlation were afloat in a sea of possibilities, yet lacked the precise navigation that our study offers.

Taking a deeper dive into our findings, it's as if we've uncovered a message in a bottle— albeit one filled with statistics and data. This discovery opens floodgates to a myriad of implications, sparking currents of thought that may flow into further research and practical applications.

It's safe to say that our data analysis has launched a ship toward truly uncharted waters, demonstrating the vast potential for joined insights from seemingly unconnected variables. So, as we journey forward with the wind in our sails, let's keep an eye on the horizon for more surprising connections that may just make our heads spin like a weather vane in a storm.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Hydopower energy generated in Burundi and Cost to send a letter via the USPS. Make lots of jokes, goofy observations, and puns.

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]]
"Surge in Hydropower: Making Waves in US Postal Rates"

[[ABSTRACT]]
This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.

[[INTRDUCTION]]
Hydropower, the force of nature harnessed to generate electricity, has long been a source of fascination for scientists and engineers alike. Its ability to turn turbines and power communities has an undeniable ripple effect across various aspects of society. As researchers delving into the depths of energy economics, we find ourselves navigating uncharted waters to uncover the unexpected connections between hydropower energy generation in Burundi and the seemingly unrelated cost to send a letter via the United States Postal Service (USPS).
Some might scoff at the notion of a correlation between Burundi's hydroelectricity and USPS rates, suggesting that it's all just a watery tale. However, our team has doggedly pursued this line of inquiry, determined to test the waters of this intriguing relationship. After all, in the world of scientific inquiry, one must not be afraid to make a splash or two.
Imagine our surprise when our initial foray into the data revealed a current that was anything but lukewarm. The correlation coefficient of 0.9354594 left us all afloat, and the statistically significant p-value of less than 0.01 had us all riding waves of excitement. What emerged was a surprising revelation that made us realize we had stumbled upon an undercurrent of connection that had previously gone unnoticed.
The world of energy economics can sometimes feel as deep and impenetrable as the Marianas Trench, while postal studies may seem as routine as the daily mail delivery. But our findings have shown that there can be unexpected treasures waiting to be discovered when we dare to dive beneath the surface and explore the depths.
As we unveil our findings, we hope to ride the waves of curiosity and inspire others to join in the exploration of these seemingly disparate domains. It's not every day that one gets the chance to bridge the gap between hydropower and postal rates, and we intend to make the most of this wave of discovery.
So, buckle up for an academic adventure that promises to be part hydroelectric rollercoaster, part postal puzzle, and all scientific surfboard. It's time to sail into uncharted waters and see where the tide takes us.

[[RESULTS]]
The results of our study reveal a captivating connection between hydropower energy generation in Burundi and the cost to send a letter via the USPS. Our data analysis uncovered a remarkably strong correlation coefficient of 0.9354594, indicating a powerful relationship between these seemingly disparate variables. Furthermore, the high R-squared value of 0.8750844 suggests that a significant proportion of the variability in USPS rates can be explained by changes in hydropower energy generated in Burundi.
In accordance with our findings, we constructed a scatterplot (Figure 1) to visually depict the striking relationship between hydropower energy generation in Burundi and the cost to send a letter via the USPS. The scatterplot showcases how these variables ebb and flow in unison, providing a clear demonstration of their interconnected nature.
It’s as if these two elements are tied together by a current that we're only now beginning to understand. This unexpected bond between a landlocked African nation's energy production and the postal services in the United States makes for a captivating tale of discovery.
The statistically significant p-value of less than 0.01 further underscores the robustness and credibility of our findings, substantiating the notion that there is more to this correlation than mere happenstance. The implications of such an impactful relationship between these distinct factors are vast and warrant further exploration.
Our results not only contribute to the body of knowledge in energy economics and postal studies but also serve as a reminder that scientific inquiry is filled with unexpected twists and turns. Just when we thought we had seen it all, a new revelation emerges, making waves and challenging our preconceived notions.
In conclusion, the correlation between hydropower energy generation in Burundi and the cost to send a letter via the USPS is a profound and thought-provoking discovery that opens the floodgates to a sea of possibilities. As we navigate the ever-changing tides of research, these findings remind us of the interconnectedness of the world around us, and the unforeseen connections that await those who dare to dive deep into the data.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

As we bring this buoyant research voyage to a close, it is evident that the connection between hydropower energy generation in Burundi and the cost to send a letter via the USPS is no mere fish tale, but a real whopper of a revelation. Our findings have made quite a splash, proving that this seemingly unlikely relationship holds water.

The statistically significant correlation coefficient of 0.9354594 has illuminated a current of connection between these two seemingly unrelated elements that has the scientific community all at sea. It's as if Burundi's hydroelectric power and USPS rates are in cahoots, creating a tidal wave of intrigue in the world of energy economics and postal studies.

Our scatterplot, or should I say "scatter-sail," has shown how these variables dance together like synchronized swimmers, demonstrating an undeniable synergy that has us all riding the waves of curiosity.

This discovery serves as a reminder to never dismiss seemingly unrelated phenomena as mere flotsam and jetsam, for beneath the surface lies a seafloor of unsuspected connections. It's clear that there's more to this relationship than meets the eye, and it beckons further exploration and derring-do in the uncharted waters of interdisciplinary research.

In the spirit of scientific whimsy, it's time to reel in the rod of inquiry and embrace the notion that sometimes the most unexpected connections can be the most meaningful. So, let's call it a day and leave it at that - further research in this area is well and truly water under the bridge.


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 Surge in Hydropower: Making Waves in US Postal Rates. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Aquatic Energy 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 Surge in Hydropower: Making Waves in US Postal Rates. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Aquatic Energy Research and Technology Evaluation (SAERTE)


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 Surge in Hydropower: Making Waves in US Postal Rates with an abstract of This paper dives into the surprising correlation between hydropower energy generation in the small African nation of Burundi and the cost to send a letter via the United States Postal Service (USPS). Our research team, buoyed by curiosity, utilized data from the Energy Information Administration and the USPS to tackle this question that has been floating around in the scientific community for quite some time. In a study spanning from 2006 to 2021, we discovered a high correlation coefficient of 0.9354594 and a statistically significant p-value of less than 0.01. Our findings make quite a splash, revealing an unexpected connection between the generation of hydroelectric power in a distant country and the rates of USPS services. We hope this research serves as a light-hearted yet insightful addition to the ocean of knowledge in the fields of energy economics and postal studies.

ChatGPT:

hydropower, energy generation, correlation, postal rates, United States Postal Service, USPS, Energy Information Administration, Burundi, hydroelectric power, research study, statistical analysis, energy economics, postal studies

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



Random correlation

Discover a new correlation

View all correlations

View all research papers

Report an error


Data details

Hydopower energy generated in Burundi
Detailed data title: Total hydopower energy generated in Burundi in billion kWh
Source: Energy Information Administration
See what else correlates with Hydopower energy generated in Burundi

Cost to send a letter via the USPS
Detailed data title: US Postal Service Letter Rate
Source: US Postal Service
See what else correlates with Cost to send a letter via the USPS

Correlation r = 0.9354594 (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 = 0.8750844 (Coefficient of determination)
This means 87.5% of the change in the one variable (i.e., Cost to send a letter via the USPS) is predictable based on the change in the other (i.e., Hydopower energy generated in Burundi) over the 16 years from 2006 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 1.05E-7. 0.0000001053458713127091500000
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 0.94 in 1.05E-5% of random cases. Said differently, if you correlated 9,492,541 random variables You don't actually need 9 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 15 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 15 because we have two variables measured over a period of 16 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.

[ 0.82, 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.
2006200720082009201020112012201320142015201620172018201920202021
Hydopower energy generated in Burundi (Billion kWh)0.0920.1160.1110.120.1410.1280.1390.1380.140.1360.1420.1850.150.220.220.22
Cost to send a letter via the USPS (US Dollar per first ounce)0.390.410.420.440.440.440.450.460.490.490.470.490.50.550.550.58




Why this works

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




Try it yourself

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

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

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

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

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

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

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

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

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


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

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

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

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

    return correlation, r_squared, p_value

# These are the arrays for the variables shown on this page, but you can modify them to be any two sets of numbers
array_1 = np.array([0.092,0.116,0.111,0.12,0.141,0.128,0.139,0.138,0.14,0.136,0.142,0.185,0.15,0.22,0.22,0.22,])
array_2 = np.array([0.39,0.41,0.42,0.44,0.44,0.44,0.45,0.46,0.49,0.49,0.47,0.49,0.5,0.55,0.55,0.58,])
array_1_name = "Hydopower energy generated in Burundi"
array_2_name = "Cost to send a letter via the USPS"

# 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)



Reuseable content

You may re-use the images on this page for any purpose, even commercial purposes, without asking for permission. The only requirement is that you attribute Tyler Vigen. Attribution can take many different forms. If you leave the "tylervigen.com" link in the image, that satisfies it just fine. If you remove it and move it to a footnote, that's fine too. You can also just write "Charts courtesy of Tyler Vigen" at the bottom of an article.

You do not need to attribute "the spurious correlations website," and you don't even need to link here if you don't want to. I don't gain anything from pageviews. There are no ads on this site, there is nothing for sale, and I am not for hire.

For the record, I am just one person. Tyler Vigen, he/him/his. I do have degrees, but they should not go after my name unless you want to annoy my wife. If that is your goal, then go ahead and cite me as "Tyler Vigen, A.A. A.A.S. B.A. J.D." Otherwise it is just "Tyler Vigen."

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

Full license details.
For more on re-use permissions, or to get a signed release form, see tylervigen.com/permission.

Download images for these variables:


View another random correlation

How fun was this correlation?

Kudos for rating!


Correlation ID: 2527 · Black Variable ID: 23563 · Red Variable ID: 474
about · subscribe · emailme@tylervigen.com · twitter

CC BY 4.0