It gets really interesting when he says, “You know these deep-dish pizzas—it’s not pizza. It’s very good, but … call it tomato pie or something.” While an argument can certainly me made that deep-dish pizza is almost a casserole, I think the folks down in Trenton (where Scalia was born) have already claimed the name tomato pie, referring to a round pie with the sauce on top.
The first thing to note is that there are only 16 data points, so multiple regression is not an option. We can all thank the Curse of Dimensionality for that. So I stuck to simpler methods and visualizations. If I can get the raw data from Slice, I can get a little more advanced.
For the sake of simplicity I removed the tomatoes from Eataly because their price was such an outlier that it made visualizing the data difficult. As usual, most of the graphics were made using ggplot2 by Hadley Wickham. The coefficient plots were made using a little function I wrote. Here is the code. Any suggestions for improvement are greatly appreciated, especially if you can help with increasing the left hand margin of the plot. And as always, all the work was done in R.
The most obvious relationship we want to test is Overall Quality vs. Price. As can be seen from the scatterplot below with a fitted loess curve, there is not a linear relationship between price and quality.