A movie theater chain has calculated the total rating y for five films. Following parameters were used in the estimation - audience X1 (number of viewers in thousands of people), coefficient based on length of film X2, critics" rating X3, and coefficient based on personal opinion of movie theater chain owners which will be considered as random error. The results are shown in the table: Total rating Audience Length coefficient Critics rating 11.55 136.8 8.1 7.9 7.71 116.1 6.2 5.9 13.27 144.2 9.3 8.1 11.79 134.6 7.3 9.4 8.46 121.8 7.0 6.8 a) Fit a multiple linear regression model to these data. b) Estimate 2 c) Find the standard errors of the regression coefficients. d) Estimate the total rating for a film that has a length coefficient of 8.4, critics" rating of 7.2 and was watched by 150000 viewers.