Suppose you are given the following simple dataset: ( 30 points) a) Regress Y on X, calculate the OLS estimates of coefficients β
^
0
and β
^
1
. ( 6 points) b) Calculate the predicted value of Y for each observation. c) Calculate the residual for each observation. d) Calculate ESS, TSS and RSS separately. e) Calculate R 2
. f) What is the predicted value of y if x= the last digit of your cuny id +1 ? ( 3 points) g) Interpret β
^
0
and β
^
1
.