This a dataset containing information about diamond prices, with various features like number of carats, color, cut, clarity, and diamond dimensions available.

The dataset is from Vincent Arel-Bundock, a political scientist working at University of Montreal. The URL is https://vincentarelbundock.github.io/Rdatasets/csv/ggplot2/diamonds.csv and the dataset can be downloaded from this link.

Question 1. Fixing the carat dimension, what is the worst diamond clarity (measuring against price)?

Question 2. Fixing the depth dimension, what is the color hierarchy (measuring against price), amongst the diamond colors D, G, and J?