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AI explanation

^{Show image generation prompt} Model: dalle-3
Prompt: "Generate an image of a bustling diner adorned with Hyper-realistic details. Within the scene, people are joyfully indulging in gooey grilled cheese sandwiches, showcasing pure delight on their faces. Simultaneously, a group of doctors effortlessly operate advanced robotic surgical systems with unwavering precision. The scent of melting American cheese permeates the air, enhancing the atmosphere. In the background, display a stock price ticker for Intuitive Surgical's (ISRG) steadily rising, instilling optimism and excitement in the observing investors. The imagery should encapsulate the harmonious coexistence of culinary delight, cutting-edge medical technology, and financial optimism in a single captivating scene." The depiction should include only scenes, people, and objects, it should not include text or speech bubbles.

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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: American cheese consumption and Intuitive Surgical's stock price (ISRG). 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: Charcoal Hyper-realistic Charcoal a meme An image that looks like it is a scene from A Disney Movie
ChatGPT: Hyper-realistic

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 American cheese consumption and Intuitive Surgical's stock price (ISRG), in the following situation: As the demand for American cheese melted away, so did the skepticism about Intuitive Surgical's robotic surgical systems. As more people indulged in gooey grilled cheese sandwiches, they found themselves feeling grate and taking a brie-ak from their health issues. The positive cheddar about American cheese somehow sparked an increased appetite for innovative medical technology, ultimately provoloning the stock price of Intuitive Surgical. It’s a gouda thing for investors, as the company rode the wave of dairy delight to feta-lize their portfolios. After all, who wouldn't want a slice of the profits when two seemingly unrelated things are so goudagether? And that's the whey the cookie crumbles in the stock market - sometimes the most unexpected factors can impact stock prices, curdling the expectations of analysts everywhere.. Keep the description simple.
ChatGPT: Imagine a bustling diner where people are indulging in gooey grilled cheese sandwiches, savoring every bite with smiles on their faces. In the same scene, a group of doctors are using advanced robotic surgical systems, swiftly and confidently carrying out procedures with precision. As the scent of melting American cheese fills the air, the stock price ticker for Intuitive Surgical's (ISRG) rises steadily in the background, bringing a sense of optimism and excitement to the investors observing the scene.

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: [ Hyper-realistic ] and depicting this scene: Imagine a bustling diner where people are indulging in gooey grilled cheese sandwiches, savoring every bite with smiles on their faces. In the same scene, a group of doctors are using advanced robotic surgical systems, swiftly and confidently carrying out procedures with precision. As the scent of melting American cheese fills the air, the stock price ticker for Intuitive Surgical's (ISRG) rises steadily in the background, bringing a sense of optimism and excitement to the investors observing the scene. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: "Generate an image of a bustling diner adorned with Hyper-realistic details. Within the scene, people are joyfully indulging in gooey grilled cheese sandwiches, showcasing pure delight on their faces. Simultaneously, a group of doctors effortlessly operate advanced robotic surgical systems with unwavering precision. The scent of melting American cheese permeates the air, enhancing the atmosphere. In the background, display a stock price ticker for Intuitive Surgical's (ISRG) steadily rising, instilling optimism and excitement in the observing investors. The imagery should encapsulate the harmonious coexistence of culinary delight, cutting-edge medical technology, and financial optimism in a single captivating scene."

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*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.

AI academic paper

Unearthing the Cheesy Truth: The Grate Correlation Between American Cheese Consumption and Intuitive Surgical's Stock Price The Journal of Dairy Finance and Culinary Economics Jan 2024 Reminder: This paper is AI-generated. Not real!

Problem variable:	Which variable has a problem? American cheese consumption Intuitive Surgical's stock price (ISRG) Neither / both
Issue:	What is the issue? The data is incorrect The chart isn't displaying properly There is a typo The source link is incorrect A calculation is wrong Something else
Additional details: Optional
Confirm you are a human:

Data details

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^Note 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^Note 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. ^Note 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

# 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([12.8314,12.5619,12.8612,12.649,13.0656,12.7929,13.1306,13.3553,13.3048,13.0392,13.2569,13.3573,13.6656,14.0444,14.3621,15.0901,15.4027,15.5389,15.5,16.1,])
array_2 = np.array([2.18,1.37,1.9,4.45,13.21,10.78,35.96,14.04,34.13,29.09,52.33,56.28,42.63,58.99,60.79,70.66,122.63,156.5,198.56,275.28,])
array_1_name = "American cheese consumption"
array_2_name = "Intuitive Surgical's stock price (ISRG)"

# Perform the calculation
print(f"Calculating the correlation between {array_1_name} and {array_2_name}...")
correlation, r_squared, p_value = calculate_correlation(array_1, array_2)

# Print the results
print("Correlation Coefficient:", correlation)
print("R-squared:", r_squared)
print("P-value:", p_value)

Reuseable content

• High resolution line chart ^Note The image linked here is a Scalable Vector Graphic (SVG). It is the highest resolution that is possible to achieve. It scales up beyond the size of the observable universe without pixelating. You do not need to email me asking if I have a higher resolution image. I do not. The physical limitations of our universe prevent me from providing you with an image that is any higher resolution than this one.
  
  If you insert it into a PowerPoint presentation (a tool well-known for managing things that are the scale of the universe), you can right-click > "Ungroup" or "Create Shape" and then edit the lines and text directly. You can also change the colors this way.
  
  Alternatively you can use a tool like Inkscape.
  
• High resolution line chart, optimized for mobile
• Alternative high resolution line chart
• Scatterplot
• Portable line chart (png)
• Portable line chart (png), optimized for mobile
• Line chart for only American cheese consumption
• Line chart for only Intuitive Surgical's stock price (ISRG)
• AI-generated correlation image
• The spurious research paper: Unearthing the Cheesy Truth: The Grate Correlation Between American Cheese Consumption and Intuitive Surgical's Stock Price