Please do all parts of this question in detail. Thx.

The least squares regression line for a given set of data with a sample size of n = 60 is Y = 15.6 0.12X (i.e., b0 2 15.6 and b1 : 0.12). The MSE of the tted simple linear regression (SLR) model is 0.67, and the standard error of 131 (i.e., 36031)) is 0.009. Suppose X = 60. Answer the following questions. Show your work and additionally provide references for the pertinent equation numbers from the notes and / or textbook. (a) What is the tted value of Y at X = 65. (b) What are SXX and SXY for this data set? (0) Compute the standard error of ()0. (d) Find 37. (e) Compute corr(b0, b1)