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AI explanation

^{Show image generation prompt} Model: dalle-3
Prompt: [ A photo-realistic image ] Depicting this scene: Amidst the rows of Krispy Kreme Doughnut stores across the US, the Total comments on the SmarterEveryDay YouTube videos soar like never before. With each doughnut consumed, insightful comments bubble up, creating a swarm of wisdom-filled discussions on science and technology. The doughnut stores stand tall, fueling a surge of intelligent discourse in the comment section, as if the glazed delights are the key to unlocking the secrets of the universe. Enhanced Image Generation Prompt: Generate an image of a bustling street lined with Krispy Kreme Doughnut stores stretching into the distance, with a bright, sunny sky overhead. People are enjoying doughnuts as they walk and converse on smartphones. Meanwhile, digital comment bubbles from the SmarterEveryDay YouTube channel emerge from each consumed doughnut, filling the air and intermingling with the conversations. The scene should convey a feeling of intellectual stimulation and community engagement brought on by the consumption of the doughnuts, blending the physical and digital realms in a visually captivating way. 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: Krispy Kreme Doughnuts store count in the US and Total comments on SmarterEveryDay YouTube videos. 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: Futuristic A photo-realistic image a meme Brutalism An image that looks like it is a scene from a Pixar movie
ChatGPT: A photo-realistic image

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 Krispy Kreme Doughnuts store count in the US and Total comments on SmarterEveryDay YouTube videos, in the following situation: As more people consumed sugary goodness, their brain capacity for insightful comments expanded. It's as if each doughnut contained a sprinkle of wisdom, leading to an exponential rise in intelligent discourse on all things science and technology. Who knew that the key to unlocking the secrets of the universe lay hidden in a box of glazed delights? Keep the doughnuts coming, and let the comment section flourish like never before!. Keep the description simple.
ChatGPT: Amidst the rows of Krispy Kreme Doughnut stores across the US, the Total comments on the SmarterEveryDay YouTube videos soar like never before. With each doughnut consumed, insightful comments bubble up, creating a swarm of wisdom-filled discussions on science and technology. The doughnut stores stand tall, fueling a surge of intelligent discourse in the comment section, as if the glazed delights are the key to unlocking the secrets of the universe.

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: [ A photo-realistic image ] and depicting this scene: Amidst the rows of Krispy Kreme Doughnut stores across the US, the Total comments on the SmarterEveryDay YouTube videos soar like never before. With each doughnut consumed, insightful comments bubble up, creating a swarm of wisdom-filled discussions on science and technology. The doughnut stores stand tall, fueling a surge of intelligent discourse in the comment section, as if the glazed delights are the key to unlocking the secrets of the universe. Keep the visual depiction simple. Do not include any words or speech bubbles.
ChatGPT: [ A photo-realistic image ] Depicting this scene: Amidst the rows of Krispy Kreme Doughnut stores across the US, the Total comments on the SmarterEveryDay YouTube videos soar like never before. With each doughnut consumed, insightful comments bubble up, creating a swarm of wisdom-filled discussions on science and technology. The doughnut stores stand tall, fueling a surge of intelligent discourse in the comment section, as if the glazed delights are the key to unlocking the secrets of the universe. Enhanced Image Generation Prompt: Generate an image of a bustling street lined with Krispy Kreme Doughnut stores stretching into the distance, with a bright, sunny sky overhead. People are enjoying doughnuts as they walk and converse on smartphones. Meanwhile, digital comment bubbles from the SmarterEveryDay YouTube channel emerge from each consumed doughnut, filling the air and intermingling with the conversations. The scene should convey a feeling of intellectual stimulation and community engagement brought on by the consumption of the doughnuts, blending the physical and digital realms in a visually captivating way.

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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

Doughnuts and Comments: A Statistical Correlation Examining the Relationship between Krispy Kreme Store Count in the US and Total Comments on SmarterEveryDay YouTube Videos The Journal of Gastronomic Statistics Jan 2024 Reminder: This paper is AI-generated. Not real!

Problem variable:	Which variable has a problem? Krispy Kreme Doughnuts store count in the US Total comments on SmarterEveryDay YouTube videos 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.

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([251,225,222,229,230,239,253,0,294,307,316,355,364,365,373,])
array_2 = np.array([1410,4835,552,4399,33209,61287,101901,76347,108435,91359,91582,130177,189788,215106,179020,])
array_1_name = "Krispy Kreme Doughnuts store count in the US"
array_2_name = "Total comments on SmarterEveryDay YouTube videos"

# 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 Krispy Kreme Doughnuts store count in the US
• Line chart for only Total comments on SmarterEveryDay YouTube videos
• AI-generated correlation image
• The spurious research paper: Doughnuts and Comments: A Statistical Correlation Examining the Relationship between Krispy Kreme Store Count in the US and Total Comments on SmarterEveryDay YouTube Videos