0.032858,0.014691,0.128833,0.078859,0.016119,0.007355,0.086158,0.047152,0.037324,0.051185,0.035018,0.041847,0.061298,0.003156) For the questions below, use 3 decimal places. Part a) The coefficients of the least square regression line are ^0= ^1= Part b) SP500 returns are values in the following R vector. xnext=c(0.049198,0.011,0.035355,0.017924,0.02055,0.015113,0.048278,0.031798,0.029316,0.04363) The t critical value for the 95% prediction interval is The upper endpoint of this 95% prediction interval is The lower endpoint of the 95\% prediction interval for October 2013 (SP500 return 0.04363) is The upper endpoint of this 95% prediction interval is Part c) are in the following vector ynext =c(0.02758,0.020854,0.028848,0.145625,0.059938,0.010443,0.081193,0.054752,0.003703,0.062024) theoretically it is close to 9.)