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Spurious correlation #2,351 · View random

A linear line chart with years as the X-axis and two variables on the Y-axis. The first variable is Master's degrees awarded in Engineering technologies and the second variable is Customer satisfaction with American Airlines.  The chart goes from 2012 to 2021, and the two variables track closely in value over that time. Small Image
Download png
, svg

AI explanation

As more engineers with advanced degrees entered the workforce, they couldn't resist the urge to redesign the entire layout of American Airlines planes. The extra legroom, personalized entertainment systems, and self-reclining seats made flying with American Airlines a truly delightful experience. Passengers were loving the innovative engineering solutions that were inadvertently taking their in-flight comfort to new heights.

Model: dalle-3
Prompt: An image that looks like it is a scene from 'Star Wars' with a futuristic aircraft hangar as the backdrop. In the center, a group of engineers with Master's degrees in Engineering technologies are seen carefully redesigning the layout of American Airlines planes. The engineers are wearing advanced, sleek engineering suits. Tools and holographic design interfaces hover around them as they work on the plane, adding extra legroom, personalized entertainment systems, and self-reclining seats. Passengers are settling into their seats, visibly delighted, their faces lighting up with satisfaction as they experience the enhanced in-flight comfort. The scene is filled with a sense of futuristic technology and innovative engineering solutions amidst a sci-fi setting. The depiction should include only scenes, people, and objects, it should not include text or speech bubbles.
This image generation prompt was also generated by AI, using the following sequence:

Model: gpt-3.5-turbo-1106
System prompt: You select one of a few potential scene descriptors that seems to go along with the variables described. You respond only with the scene descriptions provided and say nothing else.
User prompt: Here are two variables: Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. 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: Cyber folk An image that looks like it is a scene from 'Star Wars' Symbolism Cutsy graphics Cybernetic art
ChatGPT: An image that looks like it is a scene from 'Star Wars'

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 Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines, in the following situation: As more engineers with advanced degrees entered the workforce, they couldn't resist the urge to redesign the entire layout of American Airlines planes. The extra legroom, personalized entertainment systems, and self-reclining seats made flying with American Airlines a truly delightful experience. Passengers were loving the innovative engineering solutions that were inadvertently taking their in-flight comfort to new heights.. Keep the description simple.
ChatGPT: A group of engineers with Master's degrees in Engineering technologies are seen carefully redesigning the layout of American Airlines planes, adding extra legroom, personalized entertainment systems, and self-reclining seats. As passengers settle into their seats, they are visibly delighted, their faces lighting up with satisfaction as they experience the innovative engineering solutions that have enhanced their in-flight comfort to new heights.

Model: gpt-3.5-turbo-1106
System prompt: You write and improve image generation prompts for DALLE-3. You maintain the same subjects, but enhance the visuals.
User prompt: Please respond with an image generation prompt that would be likely to create an interesting visual using DALLE-3, using the following style: [ An image that looks like it is a scene from 'Star Wars' ] and depicting this scene: A group of engineers with Master's degrees in Engineering technologies are seen carefully redesigning the layout of American Airlines planes, adding extra legroom, personalized entertainment systems, and self-reclining seats. As passengers settle into their seats, they are visibly delighted, their faces lighting up with satisfaction as they experience the innovative engineering solutions that have enhanced their in-flight comfort to new heights. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: An image that looks like it is a scene from 'Star Wars' with a futuristic aircraft hangar as the backdrop. In the center, a group of engineers with Master's degrees in Engineering technologies are seen carefully redesigning the layout of American Airlines planes. The engineers are wearing advanced, sleek engineering suits. Tools and holographic design interfaces hover around them as they work on the plane, adding extra legroom, personalized entertainment systems, and self-reclining seats. Passengers are settling into their seats, visibly delighted, their faces lighting up with satisfaction as they experience the enhanced in-flight comfort. The scene is filled with a sense of futuristic technology and innovative engineering solutions amidst a sci-fi setting.

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

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

Model: gpt-3.5-turbo-1106 (fine-tuned)
System prompt: You provide humerus 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 Master's degrees awarded in Engineering technologies caused Customer satisfaction with American Airlines to increase. Make it silly.

AI academic paper

(Because p < 0.01)
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

Journal of Avionics and Aviation Technology

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

Please draft the title and abstract of an academic research paper presenting the findings of the connection between Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Include a pun in the title.

Your research team used data from National Center for Education Statistics and American Customer Satisfaction Index to assess this nagging question. You found a correlation coefficient of 0.9316973 and p < 0.01 for 2012 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]]
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

[[ABSTRACT]]
In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.


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

Please make up the introduction section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Here is the title and abstract of the paper:
[[TITLE]]
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

[[ABSTRACT]]
In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.

-------

Your response should start like this:

[[INTRODUCTION]]



ChatGPT:
[[INTRODUCTION]]

The relationship between educational attainment in engineering technologies and customer satisfaction within the aviation industry has often been overlooked, much like the complimentary nuts in the airplane snack pack. As the world hurtles through the stratosphere of technological advancement and global connectivity, understanding the nuanced interplay between academic achievements and customer experience becomes increasingly crucial. Moreover, the airline industry, known for its elaborate safety demonstrations and questionable in-flight cuisine, serves as an intriguing backdrop for examining the impact of educational trends on customer sentiments.

On one hand, Master's degrees in Engineering technologies represent the culmination of rigorous academic pursuits, characterized by countless hours of studying, mind-boggling equations, and an endless stream of caffeinated beverages. On the other hand, American Airlines, like many other carriers, embarks on its own journey of delighting passengers, navigating through turbulent skies and occasional complaints about legroom. In this study, we set out to explore the curious dynamics between these seemingly disparate domains and investigate whether the skies of academia and air travel intersect in unexpected ways.

As we embark on this academic adventure, it is important to acknowledge that correlations do not imply causation, much like how purchasing a first-class ticket does not guarantee an upgrade to the pilot's seat. Nevertheless, our aim is to shed light on the intriguing statistical associations observed between the number of Master's degrees awarded in Engineering technologies and the satisfaction levels of American Airlines customers. As we soar through the turbulent world of academia and aviation, we invite readers to join us in uncovering the unexpected connections that may just be flying under the radar.


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

Please make up a literature review section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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 some cartoons and childrens' shows that you watched that are related to the topic.

Here is the title and abstract of the paper:
[[TITLE]]
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

[[ABSTRACT]]
In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.

-------

And here is the introduction section that led to this literature review:
[[INTRODUCTION]]
The relationship between educational attainment in engineering technologies and customer satisfaction within the aviation industry has often been overlooked, much like the complimentary nuts in the airplane snack pack. As the world hurtles through the stratosphere of technological advancement and global connectivity, understanding the nuanced interplay between academic achievements and customer experience becomes increasingly crucial. Moreover, the airline industry, known for its elaborate safety demonstrations and questionable in-flight cuisine, serves as an intriguing backdrop for examining the impact of educational trends on customer sentiments.
On one hand, Master's degrees in Engineering technologies represent the culmination of rigorous academic pursuits, characterized by countless hours of studying, mind-boggling equations, and an endless stream of caffeinated beverages. On the other hand, American Airlines, like many other carriers, embarks on its own journey of delighting passengers, navigating through turbulent skies and occasional complaints about legroom. In this study, we set out to explore the curious dynamics between these seemingly disparate domains and investigate whether the skies of academia and air travel intersect in unexpected ways.
As we embark on this academic adventure, it is important to acknowledge that correlations do not imply causation, much like how purchasing a first-class ticket does not guarantee an upgrade to the pilot's seat. Nevertheless, our aim is to shed light on the intriguing statistical associations observed between the number of Master's degrees awarded in Engineering technologies and the satisfaction levels of American Airlines customers. As we soar through the turbulent world of academia and aviation, we invite readers to join us in uncovering the unexpected connections that may just be flying under the radar.

-------

Your response should start like this:

[[LITERATURE REVIEW]]



ChatGPT:
[[LITERATURE REVIEW]]

The existing literature surrounding the relationship between educational attainment and customer satisfaction encompasses a wide array of disciplines, from psychology to business management. Smith and Doe (2015) conducted a comprehensive analysis of the impact of educational qualifications on consumer preferences, shedding light on the potential influence of academic credentials on customer satisfaction. Similarly, Jones et al. (2018) delved into the realms of engineering education and its implications for industrial consumer experiences, providing valuable insights into the interplay between academic expertise and customer contentment.

Expanding the scope to the aviation industry, "Flight Engineering and Customer Delight" by Aviation Insights Research Group (2016) explores the synergy between engineering acumen and passenger satisfaction, offering a detailed exploration of the intricacies of air travel. In a more specialized context, "Aerospace Innovations and Customer Loyalty" by Airline Dynamics Corporation (2019) navigates the hitherto uncharted terrain of aerospace engineering education and its implications for cultivating customer loyalty.

Building on this foundation, it is pertinent to acknowledge the potential influence of fictional works in shaping perceptions and attitudes towards technological advancements and customer experiences. Literary gems such as "The Wright Brothers: Engineering Pioneers" by Imaginative Publications (2018) and "Flight of Fancy: Adventures in Aerospace" by Whimsical Writers Association (2020) provide a whimsical yet insightful perspective on the intersection of engineering accomplishments and the realm of customer satisfaction, inviting readers to embark on an exhilarating journey through the skies of imagination.

Delving deeper into the realm of childhood reminiscence, cartoons and children's shows such as "The Jetsons," "Dora the Explorer," and "Paw Patrol" beckon forth nostalgic sentiments while concurrently offering subtle yet profound insights into the ambiguous interplay between technological prowess and consumer contentment. These cultural artifacts, while seemingly lighthearted, carry with them the potential to shape perceptions and cultivate an early fascination with the world of innovation and customer-centric experiences. After all, who can forget the animated allure of futuristic flying cars and intrepid adventures led by a resourceful young explorer and her trusty companions?

As we navigate through this expansive body of literature and cultural influences, it becomes evident that the connection between Master's degrees in Engineering technologies and American Airlines customer satisfaction, while seemingly enigmatic, is imbued with a rich tapestry of scholarly inquiry and whimsical conjecture. In the subsequent sections, we shall embark on an analytical odyssey to unravel the complex web of associations underlying this captivating correlation. Strap in, and prepare for an exhilarating voyage through the heights of academic exploration and the boundless realms of consumer preference.


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

Please make up the methodology section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from National Center for Education Statistics and American Customer Satisfaction Index . You used data from 2012 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]]
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

[[ABSTRACT]]
In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.

[[INTRODUCTION]]
The relationship between educational attainment in engineering technologies and customer satisfaction within the aviation industry has often been overlooked, much like the complimentary nuts in the airplane snack pack. As the world hurtles through the stratosphere of technological advancement and global connectivity, understanding the nuanced interplay between academic achievements and customer experience becomes increasingly crucial. Moreover, the airline industry, known for its elaborate safety demonstrations and questionable in-flight cuisine, serves as an intriguing backdrop for examining the impact of educational trends on customer sentiments.
On one hand, Master's degrees in Engineering technologies represent the culmination of rigorous academic pursuits, characterized by countless hours of studying, mind-boggling equations, and an endless stream of caffeinated beverages. On the other hand, American Airlines, like many other carriers, embarks on its own journey of delighting passengers, navigating through turbulent skies and occasional complaints about legroom. In this study, we set out to explore the curious dynamics between these seemingly disparate domains and investigate whether the skies of academia and air travel intersect in unexpected ways.
As we embark on this academic adventure, it is important to acknowledge that correlations do not imply causation, much like how purchasing a first-class ticket does not guarantee an upgrade to the pilot's seat. Nevertheless, our aim is to shed light on the intriguing statistical associations observed between the number of Master's degrees awarded in Engineering technologies and the satisfaction levels of American Airlines customers. As we soar through the turbulent world of academia and aviation, we invite readers to join us in uncovering the unexpected connections that may just be flying under the radar.

-------

Your response should start like this:

[[METHODOLOGY]]



ChatGPT:

[[METHODOLOGY]]

In unraveling the enigmatic relationship between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines, our research approach combined elements of statistical analysis, data mining, and a touch of whimsical curiosity. We embarked on a quest for knowledge that rivaled the spirit of Amelia Earhart's pioneering flights, albeit with significantly fewer risk factors.

Data Collection:
The first leg of our journey involved extensive data collection from the National Center for Education Statistics and the American Customer Satisfaction Index. This process involved navigating the labyrinthine corridors of internet archives, carefully sifting through terabytes of information while occasionally pausing to marvel at the abundance of cat videos.

Statistical Analysis:
To unleash the power of numbers, we harnessed the forces of correlation coefficients, regression models, and standard deviations to uncover the hidden patterns within the data. Like brave explorers charting unfamiliar territories, we ventured into the realm of hypothesis testing and probability distributions, occasionally taking detours through the land of advanced mathematical algorithms and hoping not to get lost in the labyrinth of p-values and statistical significance.

Temporal Considerations:
Navigating through the temporal winds of change, we spanned the years from 2012 to 2021, capturing the evolution of academic pursuits and customer sentiments amid a backdrop of technological advancements and the occasional turbulence in consumer preferences. With each passing year, we observed the ebb and flow of Master's degree conferrals and the fluctuating tides of customer satisfaction, akin to meteorologists tracking the erratic behavior of weather patterns in the skies.

Underlying Assumptions:
In our pursuit of knowledge, we acknowledged the underlying assumptions that permeated our research endeavor, much like the underlying aroma of freshly brewed coffee in a bustling airport lounge. We grappled with concepts such as causality and confounding variables, navigating through the subtleties of endogeneity and exogeneity while hoping not to get entangled in the complex web of academic jargon.

Ethical Considerations:
As conscientious scholars, we adhered to the ethical principles of data privacy and confidentiality, treating each data point with the utmost respect and ensuring their anonymity in our analyses. Much like the meticulous attention given to passenger safety by airline crews, we aimed to safeguard the integrity of the data, mindful of the trust bestowed upon us by statistical aggregators and survey respondents.

In summary, our research methodology blended meticulous data collection, rigorous statistical analysis, and a sprinkle of academic whimsy to explore the captivating nexus between engineering education and customer satisfaction. As we charted our course through the complex terrain of empirical inquiry, we couldn't help but marvel at the unexpected connections that emerged from our statistical storytelling, much like stumbling upon a treasure trove of inflight entertainment during a transatlantic journey.


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

Please make up the results section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, jokes, goofy observations, and puns.

Your research team collected data from all across the internet, but mostly just used information from National Center for Education Statistics and American Customer Satisfaction Index .

For the time period 2012 to 2021, you found a correlation 0.9316973, r-squared of 0.8680598, 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]]
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

[[ABSTRACT]]
In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.

-------

And here is the methodology section that led to this result:
[[METHODOLOGY]]
The relationship between educational attainment in engineering technologies and customer satisfaction within the aviation industry has often been overlooked, much like the complimentary nuts in the airplane snack pack. As the world hurtles through the stratosphere of technological advancement and global connectivity, understanding the nuanced interplay between academic achievements and customer experience becomes increasingly crucial. Moreover, the airline industry, known for its elaborate safety demonstrations and questionable in-flight cuisine, serves as an intriguing backdrop for examining the impact of educational trends on customer sentiments.
On one hand, Master's degrees in Engineering technologies represent the culmination of rigorous academic pursuits, characterized by countless hours of studying, mind-boggling equations, and an endless stream of caffeinated beverages. On the other hand, American Airlines, like many other carriers, embarks on its own journey of delighting passengers, navigating through turbulent skies and occasional complaints about legroom. In this study, we set out to explore the curious dynamics between these seemingly disparate domains and investigate whether the skies of academia and air travel intersect in unexpected ways.
As we embark on this academic adventure, it is important to acknowledge that correlations do not imply causation, much like how purchasing a first-class ticket does not guarantee an upgrade to the pilot's seat. Nevertheless, our aim is to shed light on the intriguing statistical associations observed between the number of Master's degrees awarded in Engineering technologies and the satisfaction levels of American Airlines customers. As we soar through the turbulent world of academia and aviation, we invite readers to join us in uncovering the unexpected connections that may just be flying under the radar.

-------

Your response should start like this:

[[RESULTS]]



ChatGPT:

[[RESULTS]]

The analysis of data spanning from 2012 to 2021 revealed a remarkably high correlation (r = 0.9316973) between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. The coefficient of determination (r-squared = 0.8680598) further underscored the strength of this association. With a p-value less than 0.01, these findings provide substantial evidence to support the hypothesis that a relationship exists between the educational landscape in engineering technologies and the altitude of customer satisfaction within the realm of American Airlines.

The figure (Fig. 1) illustrates the scatterplot demonstrating the robust correlation between the variables. It is clear from the visualization that as the number of Master's degrees awarded in Engineering technologies increases, the customer satisfaction levels with American Airlines soar to new heights. Quite fittingly, the trendline resembles a takeoff trajectory, affirming the upward momentum of customer satisfaction alongside the academic pursuits in engineering technologies.

These results carry significant implications for both the academic and aviation industries. The substantial correlation suggests that the educational achievements in engineering technologies might act as a propeller, propelling the satisfaction levels of American Airlines customers to greater heights. Perhaps it is not just the aerodynamics of the aircraft, but the academic fuel propelling the overall passenger experience.

It is important to note potential limitations in the interpretation of these results. While the correlation is undeniable, it does not necessarily imply a direct causative relationship. Much like the perplexing question of whether the chicken or the egg came first, we cannot conclusively determine whether the academic achievements drive customer satisfaction or if satisfied customers drive educational pursuits. Nevertheless, the statistically significant correlation observed in this study urges further investigation into the intricacies of this relationship.

In conclusion, our findings elucidate a compelling connection between the attainment of Master's degrees in Engineering technologies and the satisfaction levels of American Airlines passengers. As we straddle the realms of academia and aviation, we invite readers to acknowledge the significance of this unexpected relationship and consider the potential impact of educational advancements on the navigation of customer satisfaction within the skies of the airline industry. After all, it seems that when it comes to customer satisfaction, the sky may not be the limit, but rather the beginning of a flight filled with educational possibilities.


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

Please make up the discussion section of an academic research paper presenting the findings of the connection between Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

[[ABSTRACT]]
In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.

[[LITERATURE REVIEW]]
The existing literature surrounding the relationship between educational attainment and customer satisfaction encompasses a wide array of disciplines, from psychology to business management. Smith and Doe (2015) conducted a comprehensive analysis of the impact of educational qualifications on consumer preferences, shedding light on the potential influence of academic credentials on customer satisfaction. Similarly, Jones et al. (2018) delved into the realms of engineering education and its implications for industrial consumer experiences, providing valuable insights into the interplay between academic expertise and customer contentment.
Expanding the scope to the aviation industry, "Flight Engineering and Customer Delight" by Aviation Insights Research Group (2016) explores the synergy between engineering acumen and passenger satisfaction, offering a detailed exploration of the intricacies of air travel. In a more specialized context, "Aerospace Innovations and Customer Loyalty" by Airline Dynamics Corporation (2019) navigates the hitherto uncharted terrain of aerospace engineering education and its implications for cultivating customer loyalty.
Building on this foundation, it is pertinent to acknowledge the potential influence of fictional works in shaping perceptions and attitudes towards technological advancements and customer experiences. Literary gems such as "The Wright Brothers: Engineering Pioneers" by Imaginative Publications (2018) and "Flight of Fancy: Adventures in Aerospace" by Whimsical Writers Association (2020) provide a whimsical yet insightful perspective on the intersection of engineering accomplishments and the realm of customer satisfaction, inviting readers to embark on an exhilarating journey through the skies of imagination.
Delving deeper into the realm of childhood reminiscence, cartoons and children's shows such as "The Jetsons," "Dora the Explorer," and "Paw Patrol" beckon forth nostalgic sentiments while concurrently offering subtle yet profound insights into the ambiguous interplay between technological prowess and consumer contentment. These cultural artifacts, while seemingly lighthearted, carry with them the potential to shape perceptions and cultivate an early fascination with the world of innovation and customer-centric experiences. After all, who can forget the animated allure of futuristic flying cars and intrepid adventures led by a resourceful young explorer and her trusty companions?
As we navigate through this expansive body of literature and cultural influences, it becomes evident that the connection between Master's degrees in Engineering technologies and American Airlines customer satisfaction, while seemingly enigmatic, is imbued with a rich tapestry of scholarly inquiry and whimsical conjecture. In the subsequent sections, we shall embark on an analytical odyssey to unravel the complex web of associations underlying this captivating correlation. Strap in, and prepare for an exhilarating voyage through the heights of academic exploration and the boundless realms of consumer preference.

[[RESULTS]]
The analysis of data spanning from 2012 to 2021 revealed a remarkably high correlation (r = 0.9316973) between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. The coefficient of determination (r-squared = 0.8680598) further underscored the strength of this association. With a p-value less than 0.01, these findings provide substantial evidence to support the hypothesis that a relationship exists between the educational landscape in engineering technologies and the altitude of customer satisfaction within the realm of American Airlines.
The figure (Fig. 1) illustrates the scatterplot demonstrating the robust correlation between the variables. It is clear from the visualization that as the number of Master's degrees awarded in Engineering technologies increases, the customer satisfaction levels with American Airlines soar to new heights. Quite fittingly, the trendline resembles a takeoff trajectory, affirming the upward momentum of customer satisfaction alongside the academic pursuits in engineering technologies.
These results carry significant implications for both the academic and aviation industries. The substantial correlation suggests that the educational achievements in engineering technologies might act as a propeller, propelling the satisfaction levels of American Airlines customers to greater heights. Perhaps it is not just the aerodynamics of the aircraft, but the academic fuel propelling the overall passenger experience.
It is important to note potential limitations in the interpretation of these results. While the correlation is undeniable, it does not necessarily imply a direct causative relationship. Much like the perplexing question of whether the chicken or the egg came first, we cannot conclusively determine whether the academic achievements drive customer satisfaction or if satisfied customers drive educational pursuits. Nevertheless, the statistically significant correlation observed in this study urges further investigation into the intricacies of this relationship.
In conclusion, our findings elucidate a compelling connection between the attainment of Master's degrees in Engineering technologies and the satisfaction levels of American Airlines passengers. As we straddle the realms of academia and aviation, we invite readers to acknowledge the significance of this unexpected relationship and consider the potential impact of educational advancements on the navigation of customer satisfaction within the skies of the airline industry. After all, it seems that when it comes to customer satisfaction, the sky may not be the limit, but rather the beginning of a flight filled with educational possibilities.

-------

Your response should start like this:

[[DISCUSSION]]



ChatGPT:

[[DISCUSSION]]

The results of this study unveil an intriguing connection between the number of Master's degrees awarded in Engineering technologies and the soaring satisfaction levels of American Airlines passengers. These findings align with the existing literature, echoing the insightful work of Smith and Doe (2015) and Jones et al. (2018) who first delved into the interplay between academic attainment and consumer contentment. While some may have loftily dismissed the whimsical influence of fictional works and childhood nostalgia on shaping perceptions, our results underscore the potential impact of these cultural artifacts in influencing attitudes towards technological advancements and customer experiences. It seems the animated allure of futuristic flying cars and intrepid adventures led by a resourceful young explorer might not be as far-fetched as they appear.

The striking correlation coefficient and p-value less than 0.01 in our study echo the sentiments put forth by the Aviation Insights Research Group (2016) and the Airline Dynamics Corporation (2019) regarding the potential synergy between engineering acumen and passenger satisfaction. It seems we are not just dealing with the aerodynamics of aircraft, but with the academic fuel propelling the overall passenger experience. It's as though the customer satisfaction levels are taking off alongside the academic pursuits in engineering technologies, resembling a takeoff trajectory as depicted in the scatterplot.

However, we must also acknowledge the limitations in interpreting these results. While the correlation is undeniable, we cannot conclusively determine the direction of causation. Does academic achievement drive customer satisfaction, or do satisfied customers propel educational pursuits? It's the age-old question of whether the chicken or the egg came first, but in this case, there might be more than just poultry at stake. The statistically significant correlation observed in our study beckons for further investigation into the complex relationship between academic achievements and customer satisfaction.

In light of these outcomes, it is essential to recognize the potential implications for both the academic and aviation industries. The findings suggest that educational advancements in engineering technologies might serve as a propeller, propelling the satisfaction levels of American Airlines customers to greater heights. Our study sheds light on the not-so-turbulent correlation between academic pursuits and customer contentment, inviting readers to acknowledge the significance of this unexpected relationship and consider the potential impact of educational advancements on the navigation of customer satisfaction within the skies of the airline industry. It's clear that when it comes to customer satisfaction, the sky may not be the limit after all, but merely the beginning of a flight filled with educational possibilities. As for how this impacts the peanuts served on board, well, that's a discussion for another time.


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

Please make up a short conclusion of an academic research paper presenting the findings of the connection between Master's degrees awarded in Engineering technologies and Customer satisfaction with American Airlines. Make it seem dry like academic research paper, but with lots of subtle hidden offhand remarks, 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]]
Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction

[[ABSTRACT]]
In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.

[[INTRDUCTION]]
The relationship between educational attainment in engineering technologies and customer satisfaction within the aviation industry has often been overlooked, much like the complimentary nuts in the airplane snack pack. As the world hurtles through the stratosphere of technological advancement and global connectivity, understanding the nuanced interplay between academic achievements and customer experience becomes increasingly crucial. Moreover, the airline industry, known for its elaborate safety demonstrations and questionable in-flight cuisine, serves as an intriguing backdrop for examining the impact of educational trends on customer sentiments.
On one hand, Master's degrees in Engineering technologies represent the culmination of rigorous academic pursuits, characterized by countless hours of studying, mind-boggling equations, and an endless stream of caffeinated beverages. On the other hand, American Airlines, like many other carriers, embarks on its own journey of delighting passengers, navigating through turbulent skies and occasional complaints about legroom. In this study, we set out to explore the curious dynamics between these seemingly disparate domains and investigate whether the skies of academia and air travel intersect in unexpected ways.
As we embark on this academic adventure, it is important to acknowledge that correlations do not imply causation, much like how purchasing a first-class ticket does not guarantee an upgrade to the pilot's seat. Nevertheless, our aim is to shed light on the intriguing statistical associations observed between the number of Master's degrees awarded in Engineering technologies and the satisfaction levels of American Airlines customers. As we soar through the turbulent world of academia and aviation, we invite readers to join us in uncovering the unexpected connections that may just be flying under the radar.

[[RESULTS]]
The analysis of data spanning from 2012 to 2021 revealed a remarkably high correlation (r = 0.9316973) between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. The coefficient of determination (r-squared = 0.8680598) further underscored the strength of this association. With a p-value less than 0.01, these findings provide substantial evidence to support the hypothesis that a relationship exists between the educational landscape in engineering technologies and the altitude of customer satisfaction within the realm of American Airlines.
The figure (Fig. 1) illustrates the scatterplot demonstrating the robust correlation between the variables. It is clear from the visualization that as the number of Master's degrees awarded in Engineering technologies increases, the customer satisfaction levels with American Airlines soar to new heights. Quite fittingly, the trendline resembles a takeoff trajectory, affirming the upward momentum of customer satisfaction alongside the academic pursuits in engineering technologies.
These results carry significant implications for both the academic and aviation industries. The substantial correlation suggests that the educational achievements in engineering technologies might act as a propeller, propelling the satisfaction levels of American Airlines customers to greater heights. Perhaps it is not just the aerodynamics of the aircraft, but the academic fuel propelling the overall passenger experience.
It is important to note potential limitations in the interpretation of these results. While the correlation is undeniable, it does not necessarily imply a direct causative relationship. Much like the perplexing question of whether the chicken or the egg came first, we cannot conclusively determine whether the academic achievements drive customer satisfaction or if satisfied customers drive educational pursuits. Nevertheless, the statistically significant correlation observed in this study urges further investigation into the intricacies of this relationship.
In conclusion, our findings elucidate a compelling connection between the attainment of Master's degrees in Engineering technologies and the satisfaction levels of American Airlines passengers. As we straddle the realms of academia and aviation, we invite readers to acknowledge the significance of this unexpected relationship and consider the potential impact of educational advancements on the navigation of customer satisfaction within the skies of the airline industry. After all, it seems that when it comes to customer satisfaction, the sky may not be the limit, but rather the beginning of a flight filled with educational possibilities.

-------

Your response should start like this:

[[CONCLUSION]]



ChatGPT:

[[CONCLUSION]]

In the rarefied air of academic inquiry, our study has uncovered a tantalizing connection between the awarding of Master's degrees in Engineering technologies and the heights of customer satisfaction with American Airlines. The evidence, while not as elusive as that complimentary in-flight Wi-Fi, is compelling. This correlation, with a coefficient strong enough to rival the tensile strength of aircraft wings, suggests a noteworthy relationship between academic achievements and customer contentment.

As we reflect on these findings, it's important to remember that causation remains as elusive as a lost luggage at the baggage claim. Much like the mystery of why airplane food always tastes a little off, we are left pondering the direction of influence between educational pursuits and customer satisfaction. Nevertheless, our research takes flight as a springboard for future studies to soar into this uncharted airspace.

We encourage industry stakeholders to embrace this intersection of academia and aviation, recognizing the potential impact of educational endeavors on the skies of customer satisfaction. While our findings may not solve the age-old riddle of why the middle seat always seems to be the most uncomfortable, they do shed light on a promising area for further exploration.

In the end, it seems we have reached the final destination of this research journey. With the clear picture of this connection painted across the sky, we can confidently assert that no further research is needed in this area. The winds of knowledge have carried us far and it's time to put this topic to rest, just like the reclining seats of first-class.


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 Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction. Respond only with the name of a fictional academic journal.

ChatGPT:

Journal of Avionics and Aviation Technology


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 Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction. Respond only with the name of a fictional organization.

ChatGPT:

The Society for Aeronautical Engineering Advancement and Research (SAEAR)


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 Flying High: The Masterful Link Between Engineering Technologies Degrees and American Airlines Customer Satisfaction with an abstract of In this study, we sought to unveil the hidden connections between the number of Master's degrees awarded in Engineering technologies and the customer satisfaction levels of American Airlines. Utilizing data from the National Center for Education Statistics and the American Customer Satisfaction Index, we delved into a sky-high analysis from 2012 to 2021. The results revealed a striking correlation coefficient of 0.9316973 with a p-value less than 0.01, suggesting a strong association between these variables. Despite the turbulence of the airline industry and the rigorous demands of engineering education, our research takes flight to show the significant impact of academic pursuits on the soaring satisfaction of passengers. We invite the reader to fasten their seatbelts, as this study navigates the uncharted skies of academic inquiry and customer preference.

ChatGPT:

Master's degrees, Engineering technologies, American Airlines, customer satisfaction, National Center for Education Statistics, American Customer Satisfaction Index, correlation coefficient, p-value, academic pursuits, passenger satisfaction, airline industry, engineering education, customer preference, academic inquiry

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



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Data details

Master's degrees awarded in Engineering technologies
Detailed data title: Master's degrees conferred by postsecondary institutions in Engineering technologies
Source: National Center for Education Statistics
See what else correlates with Master's degrees awarded in Engineering technologies

Customer satisfaction with American Airlines
Source: American Customer Satisfaction Index
See what else correlates with Customer satisfaction with American Airlines

Correlation r = 0.9316973 (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 = 0.8680598 (Coefficient of determination)
This means 86.8% of the change in the one variable (i.e., Customer satisfaction with American Airlines) is predictable based on the change in the other (i.e., Master's degrees awarded in Engineering technologies) over the 10 years from 2012 through 2021.

p < 0.01, which is statistically significant(Null hypothesis significance test)
The p-value is 8.8E-5. 0.0000876358107208682600000000
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 0.93 in 0.0088% of random cases. Said differently, if you correlated 11,411 random variables Which I absolutely did.
with the same 9 degrees of freedom, Degrees of freedom is a measure of how many free components we are testing. In this case it is 9 because we have two variables measured over a period of 10 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.

[ 0.73, 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.
2012201320142015201620172018201920202021
Master's degrees awarded in Engineering technologies (Degrees awarded)4793490849675324606774037246623262196375
Customer satisfaction with American Airlines (Consumer Satisfaction)64656666727674737475




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([4793,4908,4967,5324,6067,7403,7246,6232,6219,6375,])
array_2 = np.array([64,65,66,66,72,76,74,73,74,75,])
array_1_name = "Master's degrees awarded in Engineering technologies"
array_2_name = "Customer satisfaction with American Airlines"

# 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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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.

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Correlation ID: 2351 · Black Variable ID: 1321 · Red Variable ID: 19834
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