Problem 1 (2.5 points)

Problem 1 (2.5 points)
Consider the following data on the propagation velocity of an ultrasonic stress
wave through a substance, y (km/s), and the tensile strength of the substance, x (MPa).

Problem 2 (1 point)
Prove that the fitted least squares line, ˆy = ˆβ0 + ˆβ1x, will always pass through
the point ( ̄x, ̄y), where ̄x and ̄y are sample averages.

Problem 3 (1.5 points)
This question involves using R to perform the multiple linear regression using
the “Carseats” datain from R library of “ISLR”.