_ _ Consider the simple normal linear regression model which is expressed in matrices form if 2 XS 4 3;. Fiona an observed sample. we have X'X = ( 1261? 1156:? ) , X'E ( 1153640: ) SSRes =4815810 a Obtain the predicted line. b. h ' ' Report the 95% condence interval for S]. c; 1' , Obtain a 90% prediction interval for Y when the explanatory variable takes the value 0. d. . Will a 90% condence interval for the mean response when the eJ-rplanator}r variable takes the value 0 be wider or narrower than the results obtained in part {c}? Why? {No calculations are needed.)