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Spurious correlation #1,541 · 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 Bhutan and the second variable is Total number of live births in Australia.  The chart goes from 1980 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

The surge of energy created a powerful attraction, leading to an influx of sparks and a wave of excitement Down Under. This shocking development has left many positively charged and electrified, sparking a baby boom like never before. It seems that when it comes to the connection between Bhutan's hydropower and Australia's live births, the energy truly is flowing!

Model: dalle-3
Prompt: [ Hydropower energy generated in Bhutan: Scalar art ] Show a serene, mountainous landscape in Bhutan, with a vibrant river flowing through the valley and a majestic hydroelectric dam harnessing its energy. In the foreground, depict a tranquil hospital room in Australia, where a serene mother cradles her newborn baby, surrounded by the gentle sounds of a new life entering the world. The contrast between the powerful energy of the river and the peaceful moment in the hospital room should be highlighted. 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 Bhutan and Total number of live births in Australia. 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: Data cyber art Woodblock painting a Polaroid photo Scalar art A scene from Skyrim
ChatGPT: Hydropower energy generated in Bhutan: Scalar art

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 Bhutan and Total number of live births in Australia together. Keep the description simple.
ChatGPT: In the lush, mountainous landscape of Bhutan, a powerful river cascades down the valley, with a mighty hydroelectric dam harnessing its energy. Meanwhile, in a peaceful hospital room in Australia, a joyful mother cradles her new baby, surrounded by the gentle sounds of a new life entering the world.

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: [ Hydropower energy generated in Bhutan: Scalar art ] and depicting this scene: In the lush, mountainous landscape of Bhutan, a powerful river cascades down the valley, with a mighty hydroelectric dam harnessing its energy. Meanwhile, in a peaceful hospital room in Australia, a joyful mother cradles her new baby, surrounded by the gentle sounds of a new life entering the world. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [ Hydropower energy generated in Bhutan: Scalar art ] Show a serene, mountainous landscape in Bhutan, with a vibrant river flowing through the valley and a majestic hydroelectric dam harnessing its energy. In the foreground, depict a tranquil hospital room in Australia, where a serene mother cradles her newborn baby, surrounded by the gentle sounds of a new life entering the world. The contrast between the powerful energy of the river and the peaceful moment in the hospital room should be highlighted.

*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 Bhutan caused Total number of live births in Australia to increase. Include one good pun.

AI academic paper

(Because p < 0.01)
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

The Journal of Quirky Ecological 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 Bhutan and Total number of live births in Australia. 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, make it sound serious.

Your research team used data from Energy Information Administration and Wikipedia to assess this nagging question. You found a correlation coefficient of 0.9559940 and p < 0.01 for 1980 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]]
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

[[ABSTRACT]]
In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.

Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.


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 Bhutan and Total number of live births in Australia. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Here is the title and abstract of the paper:
[[TITLE]]
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

[[ABSTRACT]]
In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.

Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

Electricity and population dynamics might seem as unrelated as a power outlet and a kangaroo, but our study aims to shed light on an unexpected connection between these two seemingly disparate phenomena. As we delve into the electrifying relationship between hydropower energy generated in the Kingdom of Bhutan and the total number of live births in Australia, we embark on a journey of discovery that will leave you shocked – pun intended of course!

From the serene mountains of Bhutan, where the churning waters generate electricity, to the sandy beaches of Australia, where new lives enter the world, our research team meticulously collected and analyzed data to address the burning question: could the inexorable power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia?

The sheer magnitude of the correlation coefficient we discovered left us feeling positively charged – it was a hair-raising 0.9559940, indicating a shockingly strong relationship between these two otherwise unrelated factors. The statistically significant p-value we obtained, less than 0.01 for the period spanning from 1980 to 2021, further electrifies the astonishing nature of this correlation. It seems that as the hydroelectric power surges, so does the number of stork deliveries down under, and we can’t help but wonder if there’s a shocking truth to the phrase “electricity is in the air!”

Our findings reveal an insight that is both illuminating and, we dare say, quite electrifying. This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and the sparks of population growth. As researchers, we find ourselves electrified with enthusiasm, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to step into the spotlight and illuminate this amusing link, exploring the potential mechanisms behind this electrifying phenomenon with the enthusiasm of a charged particle in a magnetic field. Who knows, we might just uncover the shocking truth behind the stork's journey from Bhutan to Australia!


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 Bhutan and Total number of live births in Australia. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences.

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

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

Start by naming serious-sounding studies by authors like Smith, Doe, and Jones - but then quickly devolve. Name some real non-fiction books that would be related to the topic. Then name some real fiction books that sound like they could be related. Then name a couple popular internet memes that are related to one of the topics.

Here is the title and abstract of the paper:
[[TITLE]]
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

[[ABSTRACT]]
In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.

Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
Electricity and population dynamics might seem as unrelated as a power outlet and a kangaroo, but our study aims to shed light on an unexpected connection between these two seemingly disparate phenomena. As we delve into the electrifying relationship between hydropower energy generated in the Kingdom of Bhutan and the total number of live births in Australia, we embark on a journey of discovery that will leave you shocked – pun intended of course!
From the serene mountains of Bhutan, where the churning waters generate electricity, to the sandy beaches of Australia, where new lives enter the world, our research team meticulously collected and analyzed data to address the burning question: could the inexorable power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia?
The sheer magnitude of the correlation coefficient we discovered left us feeling positively charged – it was a hair-raising 0.9559940, indicating a shockingly strong relationship between these two otherwise unrelated factors. The statistically significant p-value we obtained, less than 0.01 for the period spanning from 1980 to 2021, further electrifies the astonishing nature of this correlation. It seems that as the hydroelectric power surges, so does the number of stork deliveries down under, and we can’t help but wonder if there’s a shocking truth to the phrase “electricity is in the air!”
Our findings reveal an insight that is both illuminating and, we dare say, quite electrifying. This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and the sparks of population growth. As researchers, we find ourselves electrified with enthusiasm, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to step into the spotlight and illuminate this amusing link, exploring the potential mechanisms behind this electrifying phenomenon with the enthusiasm of a charged particle in a magnetic field. Who knows, we might just uncover the shocking truth behind the stork's journey from Bhutan to Australia!

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The relationship between hydropower energy from the Kingdom of Bhutan and the total number of live births in Australia has been an electrifying subject that has captivated the attention of researchers for decades. In "Smith et al.'s Study on Hydroelectric Power and Population Dynamics," the authors find a positive correlation between hydropower capacity and population growth, laying the foundation for our investigation into this shocking association. This study provided a framework for understanding the potential impact of hydroelectric power on demographic trends, setting the stage for our own hair-raising findings.

The statistical connection we unearthed between hydropower energy in Bhutan and live births in Australia is not just a drop in the ocean, it's positively electrifying. It left us feeling amped up to explore further and dive into the sea of literature on related subjects. In "Doe's Population Sparks: Understanding Birth Rates in Sunlight Regions," the authors illuminate the complex interplay between environmental factors and population dynamics, sparking our curiosity and igniting our enthusiasm for uncovering the unexpected connections between nature's energy and new life.

As we delved deeper into the literature, we encountered "Jones' Hydropower and Human Behavior," which provided a current of insights into the potential psychological and cultural influences of hydroelectric power on populations. This work grounded our research in understanding the multifaceted effects of hydroelectric energy on human behavior, shocking us with its breadth of implications.

Not content to only wade through serious studies, we also took a deep dive into non-fiction books that promise to shed light on our shocking discovery. "The Power of Water: Harnessing Nature's Energy" by A. Waters and "Population Currents: The Flow of Life on Earth" by L. Tide offered valuable perspectives on the potential influence of natural forces on human existence. On a lighter note, "Births by the Billabong: The Environmental Impact on Australian Demographics" by S. Kangaroo and "To Stork, with Love: A Migration Mystery" by A. Diaper brought a touch of whimsy to our research, offering unexpected insights into the potential link between hydropower and stork deliveries in Australia.

In addition to these scholarly works, we stumbled upon a few internet memes that were shockingly relevant to our study. The "Stork Delivery Voltage Meme" and the "Bhutanese Energy Surge Meme" humorously reflected the intersection of hydroelectric power and population growth, offering a lighthearted yet insightful perspective on our electrifying findings.

With our literature review sparking laughter and sparking curiosity, we are charged up to present our own findings and contribute a jolt of enthusiasm to the scientific community's understanding of this electrifying connection between hydropower surcharges and stork deliveries down under. We invite fellow researchers to join us as we shine a light on this fascinating phenomenon and illuminate the potential mechanisms behind this shocking reality – pun intended!


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 Bhutan and Total number of live births in Australia. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

Your research team collected data from all across the internet, but mostly just used information from Energy Information Administration and Wikipedia . You used data from 1980 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]]
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

[[ABSTRACT]]
In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.

Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.

[[INTRODUCTION]]
Electricity and population dynamics might seem as unrelated as a power outlet and a kangaroo, but our study aims to shed light on an unexpected connection between these two seemingly disparate phenomena. As we delve into the electrifying relationship between hydropower energy generated in the Kingdom of Bhutan and the total number of live births in Australia, we embark on a journey of discovery that will leave you shocked – pun intended of course!
From the serene mountains of Bhutan, where the churning waters generate electricity, to the sandy beaches of Australia, where new lives enter the world, our research team meticulously collected and analyzed data to address the burning question: could the inexorable power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia?
The sheer magnitude of the correlation coefficient we discovered left us feeling positively charged – it was a hair-raising 0.9559940, indicating a shockingly strong relationship between these two otherwise unrelated factors. The statistically significant p-value we obtained, less than 0.01 for the period spanning from 1980 to 2021, further electrifies the astonishing nature of this correlation. It seems that as the hydroelectric power surges, so does the number of stork deliveries down under, and we can’t help but wonder if there’s a shocking truth to the phrase “electricity is in the air!”
Our findings reveal an insight that is both illuminating and, we dare say, quite electrifying. This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and the sparks of population growth. As researchers, we find ourselves electrified with enthusiasm, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to step into the spotlight and illuminate this amusing link, exploring the potential mechanisms behind this electrifying phenomenon with the enthusiasm of a charged particle in a magnetic field. Who knows, we might just uncover the shocking truth behind the stork's journey from Bhutan to Australia!

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

To unearth the shocking connection between hydropower energy generated in Bhutan and the total number of live births in Australia, our research team embarked on a methodological journey that would make even the most seasoned explorers feel a surge of excitement – and that's not just the electricity talking! We delved into a mix of quantitative and qualitative methods to capture the essence of this unexpected relationship.

First and foremost, we harnessed the power of data collection from the serene landscapes of the internet, tapping into the energy reserves of the Energy Information Administration and Wikipedia to gather information spanning the years from 1980 to 2021. Just like a well-constructed hydroelectric facility, our data collection methods were designed to capture the steady flow of information and prevent any leaks in the integrity of our dataset. If only all research methods could flow as smoothly as water through a turbine!

We then employed rigorous statistical analysis to shockingly high levels, calculating the correlation coefficient between hydropower energy generation in Bhutan and the total number of live births in Australia. Our team was fully charged with excitement as we uncovered a positively staggering correlation coefficient of 0.9559940, shocking us with the strength of the relationship we had uncovered. If we were electricians, we might even say we successfully grounded this surprising connection!

Moving on from our statistical analysis, we delved into the realm of causality using complex models that would make any unsuspecting reader's hair stand on end. We sought to illuminate the potential underlying mechanisms that could explain this shocking relationship, exploring various theoretical frameworks with an enthusiasm that could power an entire city! Our approach was so thorough that we left no outlet unexamined, nor any electron unaccounted for as we attempted to illuminate the electrifying truth behind this connection.

Finally, we applied a series of multivariate analyses, incorporating factors such as economic trends, social dynamics, and even geographical elements to ensure that our findings were as all-encompassing as the flow of a mighty river. The breadth and depth of our analysis were intended to capture any potential surges or dips in the relationship, leaving no stone unturned in our quest to unravel the enigmatic connection between Bhutanese hydropower and Australian births.

In conclusion, our methodology involved a comprehensive blend of data collection, statistical analysis, theoretical exploration, and multivariate scrutiny, all with the aim of illuminating this electrifying connection. Our approach was as rigorous as it was illuminating, and we invite fellow researchers to join us in shedding light on the mechanisms behind this extraordinary phenomenon, with an enthusiasm that could light up even the darkest corners of the scientific community. After all, it's not every day that one gets to investigate a connection that truly shocks the imagination!


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 Bhutan and Total number of live births in Australia. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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

For the time period 1980 to 2021, you found a correlation 0.9559940, r-squared of 0.9139245, 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]]
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

[[ABSTRACT]]
In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.

Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
Electricity and population dynamics might seem as unrelated as a power outlet and a kangaroo, but our study aims to shed light on an unexpected connection between these two seemingly disparate phenomena. As we delve into the electrifying relationship between hydropower energy generated in the Kingdom of Bhutan and the total number of live births in Australia, we embark on a journey of discovery that will leave you shocked – pun intended of course!
From the serene mountains of Bhutan, where the churning waters generate electricity, to the sandy beaches of Australia, where new lives enter the world, our research team meticulously collected and analyzed data to address the burning question: could the inexorable power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia?
The sheer magnitude of the correlation coefficient we discovered left us feeling positively charged – it was a hair-raising 0.9559940, indicating a shockingly strong relationship between these two otherwise unrelated factors. The statistically significant p-value we obtained, less than 0.01 for the period spanning from 1980 to 2021, further electrifies the astonishing nature of this correlation. It seems that as the hydroelectric power surges, so does the number of stork deliveries down under, and we can’t help but wonder if there’s a shocking truth to the phrase “electricity is in the air!”
Our findings reveal an insight that is both illuminating and, we dare say, quite electrifying. This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and the sparks of population growth. As researchers, we find ourselves electrified with enthusiasm, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to step into the spotlight and illuminate this amusing link, exploring the potential mechanisms behind this electrifying phenomenon with the enthusiasm of a charged particle in a magnetic field. Who knows, we might just uncover the shocking truth behind the stork's journey from Bhutan to Australia!

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of the data revealed an undeniable and "shocking" relationship between the amount of hydropower energy generated in Bhutan and the total number of live births in Australia. The correlation coefficient of 0.9559940 between these two variables indicates a remarkably strong positive association. This statistically significant finding (p < 0.01) suggests that as the hydroelectric power output in Bhutan increases, the number of live births in Australia simultaneously rises, sparking curiosity as to the potential mechanisms behind this unexpected connection.

Our results are graphically depicted in Figure 1, which presents a scatterplot illustrating the robust correlation between hydropower energy in Bhutan and the total number of live births in Australia. The scatterplot visually underscores the compelling relationship revealed by our statistical analysis.

Now, let's address the elephant in the room. Or in this case, the stork. It seems that as the hydropower energy surges, so does the number of stork deliveries down under! This connection invokes a sense of wonder, and one might even say it carries a certain "current" of humor. It's almost as if the storks in Bhutan are delivering more than just babies; they’re delivering an electrifying message about the interconnection of natural energy sources and population growth.

It is evident that our findings have electrically-charged implications, and we invite fellow researchers to join us in shedding light on this amusing yet intriguing link. The astonishing correlation uncovered in our research calls for further investigation into the potential scientific and sociological explanations behind this unexpected relationship.

In conclusion, our results provide compelling evidence of a significant link between the hydroelectric output in Bhutan and the birth rate in Australia. We hope to ignite the curiosity of the scientific community and spark further research into understanding the electrifying phenomena observed in this study.


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 Bhutan and Total number of live births in Australia. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

[[ABSTRACT]]
In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.

Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.

[[LITERATURE REVIEW]]
The relationship between hydropower energy from the Kingdom of Bhutan and the total number of live births in Australia has been an electrifying subject that has captivated the attention of researchers for decades. In "Smith et al.'s Study on Hydroelectric Power and Population Dynamics," the authors find a positive correlation between hydropower capacity and population growth, laying the foundation for our investigation into this shocking association. This study provided a framework for understanding the potential impact of hydroelectric power on demographic trends, setting the stage for our own hair-raising findings.
The statistical connection we unearthed between hydropower energy in Bhutan and live births in Australia is not just a drop in the ocean, it's positively electrifying. It left us feeling amped up to explore further and dive into the sea of literature on related subjects. In "Doe's Population Sparks: Understanding Birth Rates in Sunlight Regions," the authors illuminate the complex interplay between environmental factors and population dynamics, sparking our curiosity and igniting our enthusiasm for uncovering the unexpected connections between nature's energy and new life.
As we delved deeper into the literature, we encountered "Jones' Hydropower and Human Behavior," which provided a current of insights into the potential psychological and cultural influences of hydroelectric power on populations. This work grounded our research in understanding the multifaceted effects of hydroelectric energy on human behavior, shocking us with its breadth of implications.
Not content to only wade through serious studies, we also took a deep dive into non-fiction books that promise to shed light on our shocking discovery. "The Power of Water: Harnessing Nature's Energy" by A. Waters and "Population Currents: The Flow of Life on Earth" by L. Tide offered valuable perspectives on the potential influence of natural forces on human existence. On a lighter note, "Births by the Billabong: The Environmental Impact on Australian Demographics" by S. Kangaroo and "To Stork, with Love: A Migration Mystery" by A. Diaper brought a touch of whimsy to our research, offering unexpected insights into the potential link between hydropower and stork deliveries in Australia.
In addition to these scholarly works, we stumbled upon a few internet memes that were shockingly relevant to our study. The "Stork Delivery Voltage Meme" and the "Bhutanese Energy Surge Meme" humorously reflected the intersection of hydroelectric power and population growth, offering a lighthearted yet insightful perspective on our electrifying findings.
With our literature review sparking laughter and sparking curiosity, we are charged up to present our own findings and contribute a jolt of enthusiasm to the scientific community's understanding of this electrifying connection between hydropower surcharges and stork deliveries down under. We invite fellow researchers to join us as we shine a light on this fascinating phenomenon and illuminate the potential mechanisms behind this shocking reality – pun intended!

[[RESULTS]]
The analysis of the data revealed an undeniable and "shocking" relationship between the amount of hydropower energy generated in Bhutan and the total number of live births in Australia. The correlation coefficient of 0.9559940 between these two variables indicates a remarkably strong positive association. This statistically significant finding (p < 0.01) suggests that as the hydroelectric power output in Bhutan increases, the number of live births in Australia simultaneously rises, sparking curiosity as to the potential mechanisms behind this unexpected connection.
Our results are graphically depicted in Figure 1, which presents a scatterplot illustrating the robust correlation between hydropower energy in Bhutan and the total number of live births in Australia. The scatterplot visually underscores the compelling relationship revealed by our statistical analysis.
Now, let's address the elephant in the room. Or in this case, the stork. It seems that as the hydropower energy surges, so does the number of stork deliveries down under! This connection invokes a sense of wonder, and one might even say it carries a certain "current" of humor. It's almost as if the storks in Bhutan are delivering more than just babies; they’re delivering an electrifying message about the interconnection of natural energy sources and population growth.
It is evident that our findings have electrically-charged implications, and we invite fellow researchers to join us in shedding light on this amusing yet intriguing link. The astonishing correlation uncovered in our research calls for further investigation into the potential scientific and sociological explanations behind this unexpected relationship.
In conclusion, our results provide compelling evidence of a significant link between the hydroelectric output in Bhutan and the birth rate in Australia. We hope to ignite the curiosity of the scientific community and spark further research into understanding the electrifying phenomena observed in this study.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of our research have illuminated a "shocking" association between the flow of hydropower energy in the picturesque landscapes of Bhutan and the stork deliveries in the sun-kissed shores of Australia. Our findings not only support the existing literature's exploration of the link between hydroelectric power and demographic trends but add an electrifying new dimension to this field of study.

Our statistically significant correlation coefficient of 0.9559940 and a p-value less than 0.01 echo and amplify the previous studies that hinted at a positive relationship between hydropower capacity and population dynamics. It is clear that as the hydroelectric power surges, so does the number of stork deliveries down under - a connection that holds an undeniable charm, both figuratively and literally. It seems that the storks are not only symbols of new life, but also unwitting couriers of an electrifying message about the interconnectedness of natural energy sources and population growth. One might say they are the real "power" behind the phenomenon we have uncovered.

Our findings have sparked a sense of curiosity and wonder, not to mention a few dad jokes about the power of nature and population sparks. The very nature of this unexpected connection seems to carry a certain "current" of humor, sparking a new interest in the scientific community and potentially sparking the imagination of future researchers.

As we ponder the potential mechanisms behind this electrifying association, we find ourselves charged up to explore the sociological, psychological, and even ecological aspects that underpin this phenomenon. Our research calls for further investigation and collaboration to explore the implications and potential applications of this discovery. After all, this connection is not just a drop in the ocean; it's positively electrifying and amusing.

In the electrifying intersection of natural forces and human existence, our research stands as a beacon, inviting further exploration and contemplation of the potential impacts of hydroelectric power on global population dynamics. We look forward to sharing our "shocking" findings with the scientific community and bringing an unexpected dose of humor to the electrifying world of research.


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 Bhutan and Total number of live births in Australia. You can't resist a good dad joke. Add a relevant dad joke related to the content every couple of sentences. Stay serious and dry most of the time, but then occasionally let your wit shine through.

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]]
Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under

[[ABSTRACT]]
In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.

Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.

[[INTRDUCTION]]
Electricity and population dynamics might seem as unrelated as a power outlet and a kangaroo, but our study aims to shed light on an unexpected connection between these two seemingly disparate phenomena. As we delve into the electrifying relationship between hydropower energy generated in the Kingdom of Bhutan and the total number of live births in Australia, we embark on a journey of discovery that will leave you shocked – pun intended of course!
From the serene mountains of Bhutan, where the churning waters generate electricity, to the sandy beaches of Australia, where new lives enter the world, our research team meticulously collected and analyzed data to address the burning question: could the inexorable power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia?
The sheer magnitude of the correlation coefficient we discovered left us feeling positively charged – it was a hair-raising 0.9559940, indicating a shockingly strong relationship between these two otherwise unrelated factors. The statistically significant p-value we obtained, less than 0.01 for the period spanning from 1980 to 2021, further electrifies the astonishing nature of this correlation. It seems that as the hydroelectric power surges, so does the number of stork deliveries down under, and we can’t help but wonder if there’s a shocking truth to the phrase “electricity is in the air!”
Our findings reveal an insight that is both illuminating and, we dare say, quite electrifying. This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and the sparks of population growth. As researchers, we find ourselves electrified with enthusiasm, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to step into the spotlight and illuminate this amusing link, exploring the potential mechanisms behind this electrifying phenomenon with the enthusiasm of a charged particle in a magnetic field. Who knows, we might just uncover the shocking truth behind the stork's journey from Bhutan to Australia!

[[RESULTS]]
The analysis of the data revealed an undeniable and "shocking" relationship between the amount of hydropower energy generated in Bhutan and the total number of live births in Australia. The correlation coefficient of 0.9559940 between these two variables indicates a remarkably strong positive association. This statistically significant finding (p < 0.01) suggests that as the hydroelectric power output in Bhutan increases, the number of live births in Australia simultaneously rises, sparking curiosity as to the potential mechanisms behind this unexpected connection.
Our results are graphically depicted in Figure 1, which presents a scatterplot illustrating the robust correlation between hydropower energy in Bhutan and the total number of live births in Australia. The scatterplot visually underscores the compelling relationship revealed by our statistical analysis.
Now, let's address the elephant in the room. Or in this case, the stork. It seems that as the hydropower energy surges, so does the number of stork deliveries down under! This connection invokes a sense of wonder, and one might even say it carries a certain "current" of humor. It's almost as if the storks in Bhutan are delivering more than just babies; they’re delivering an electrifying message about the interconnection of natural energy sources and population growth.
It is evident that our findings have electrically-charged implications, and we invite fellow researchers to join us in shedding light on this amusing yet intriguing link. The astonishing correlation uncovered in our research calls for further investigation into the potential scientific and sociological explanations behind this unexpected relationship.
In conclusion, our results provide compelling evidence of a significant link between the hydroelectric output in Bhutan and the birth rate in Australia. We hope to ignite the curiosity of the scientific community and spark further research into understanding the electrifying phenomena observed in this study.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]
In conclusion, our research has illuminated a remarkably strong and shockingly positive association between the amount of hydropower energy generated in Bhutan and the total number of live births in Australia. This unexpected connection has left us feeling positively charged - or should I say, "plugged in" to the electrifying potential of natural energy sources on population dynamics. It seems the storks are not the only ones delivering surprises, as the statistical correlation coefficient of 0.9559940 and the strikingly significant p-value less than 0.01 have electrified the scientific community.

Our findings have sparked curiosity and humor, as it appears that as the hydroelectric power surges, so do the number of stork deliveries down under! This connection invokes a sense of wonder, and we can't help but wonder if there's an electric "current" of humor at play here. It seems we've unveiled a new meaning to the phrase "shocking news."

It is evident that our results carry electrifying implications, and we encourage fellow researchers to join us in shedding light on this amusing yet intriguing link. As for the joke about the storks, well, it seems we've "cracked" a new egg of knowledge in this field.

In the light of these findings, we assert that no further research is needed in this area. We can confidently say that this shocking revelation is a shining example of the unanticipated connections that can be uncovered through rigorous statistical analysis. It's time to shockingly plug the cord on this matter.


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 Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under. Respond only with the name of a fictional academic journal.

ChatGPT:

The Journal of Quirky Ecological 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 Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under. Respond only with the name of a fictional organization.

ChatGPT:

The Institute for Renewable Energy Economics and Avian Impact Studies


Model: gpt-3.5-turbo-1106
System prompt: You provide potential search keywords separated by commas. You say nothing else, and you do not chat with the user.
User prompt: Please provide potential search keywords for a paper titled Shocking Connections: Hydro-Power Surcharges and Stork Deliveries Down Under with an abstract of In this study, we delve into the electrifying relationship between the amount of hydropower energy generated in the Kingdom of Bhutan and the total number of live births in the Land Down Under, Australia. Our research team meticulously collected and analyzed data from the Energy Information Administration and Wikipedia to address the burning question - could the power of flowing water in Bhutan be connected to the flow of newborn arrivals in Australia? We applied rigorous statistical methods and discovered a positively staggering correlation coefficient of 0.9559940 and a statistically significant p-value less than 0.01 for the period spanning from 1980 to 2021.
Our findings suggest that there exists a shockingly strong association between the hydroelectric output in the picturesque landscapes of Bhutan and the birth rate in the sun-kissed shores of Australia. As the hydroelectric power surges, so does the number of stork deliveries down under! This statistical connection elicits an electrifying sense of wonder and humor, not to mention a few dad jokes about the power of natural energy sources and population sparks, sparking intrigue yet to be fully understood in the scientific community. We invite fellow researchers to shed light on this amusing link and explore the potential mechanisms behind this electrifying phenomenon.

ChatGPT:

hydroelectric power, Bhutan, Australia, birth rate, correlation coefficient, statistical analysis, stork deliveries, energy surcharges, hydropower energy, live births, relationship, statistical methods, natural energy sources, population sparks

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



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Data details

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

Total number of live births in Australia
Source: Wikipedia
See what else correlates with Total number of live births in Australia

Correlation r = 0.9559940 (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 = 0.9139245 (Coefficient of determination)
This means 91.4% of the change in the one variable (i.e., Total number of live births in Australia) is predictable based on the change in the other (i.e., Hydopower energy generated in Bhutan) over the 42 years from 1980 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 6.5E-23. 0.0000000000000000000000652173
The p-value is a measure of how probable it is that we would randomly find a result this extreme. More specifically the p-value is a measure of how probable it is that we would randomly find a result this extreme if we had only tested one pair of variables one time.

But I am a p-villain. I absolutely did not test only one pair of variables one time. I correlated hundreds of millions of pairs of variables. I threw boatloads of data into an industrial-sized blender to find this correlation.

Who is going to stop me? p-value reporting doesn't require me to report how many calculations I had to go through in order to find a low p-value!
On average, you will find a correaltion as strong as 0.96 in 6.5E-21% of random cases. Said differently, if you correlated 15,333,354,800,030,054,088,704 random variables You don't actually need 15 sextillion 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 41 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 41 because we have two variables measured over a period of 42 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.

[ 0.92, 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.
198019811982198319841985198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021
Hydopower energy generated in Bhutan (Billion kWh)0.0060.0070.0080.0080.0080.0080.31.1681.5291.5291.5411.5571.6041.6041.6581.7151.8521.821.7831.7821.7921.9212.1782.5022.3292.624.4746.4946.8916.9287.2556.9756.7457.5317.157.7317.8797.656.8898.958.959
Total number of live births in Australia (Live births per year)223664230920237076241764240544241814239115242977246200250155257521261158259186259959258314258210250438253660249105249965249310247500250988246663249082255934263540274330302300295700297900301617309582308065299697305377311104309142315147305832294369309996




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([0.006,0.007,0.008,0.008,0.008,0.008,0.3,1.168,1.529,1.529,1.541,1.557,1.604,1.604,1.658,1.715,1.852,1.82,1.783,1.782,1.792,1.921,2.178,2.502,2.329,2.62,4.474,6.494,6.891,6.928,7.255,6.975,6.745,7.531,7.15,7.731,7.879,7.65,6.889,8.95,8.95,9,])
array_2 = np.array([223664,230920,237076,241764,240544,241814,239115,242977,246200,250155,257521,261158,259186,259959,258314,258210,250438,253660,249105,249965,249310,247500,250988,246663,249082,255934,263540,274330,302300,295700,297900,301617,309582,308065,299697,305377,311104,309142,315147,305832,294369,309996,])
array_1_name = "Hydopower energy generated in Bhutan"
array_2_name = "Total number of live births in Australia"

# 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: 1541 · Black Variable ID: 23522 · Red Variable ID: 51
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