The following three questions used the baseball dataset in CANVAS.
Problem #1
Suppose we are interested in estimating the number of home runs based on the other numerical variables. Perform PCA on all the numerical variables except “homeruns” variable.
Problem #2
Repeat the PCA analysis for the above problem using matrix operations
Problem #3
Subset the baseball dataset so that you are working with batters who have at least 100 at bats. Perform regression of the number of times a player has been caught stealing versus the number of stolen bases the player has. Is this a good model? Why? Or why not?
Problem #4
Calculate the page rank of the following network
A
A
G
G
B
B
C
C
E
E
F
F
D
D
.