Exercise 2 The following summary statistics were obtained from a study that used regression analysis to investigate the relationship between pavement deflection and surface temperature of the pavement at various locations on a state highway. Here x = temperature ( F ) and y = deflection adjustment factor (y 2 0): n =15 x, =1425 _y, =10.68, Ex, = 139, 037.25 _x,y, = 987.645, Ly? = 7.85182a) Compute the lease squares estimates _a and b, what is the value of _S_W , SJ; and _S_n,? (answer should be in decimal form, rounded to 4,2 and 3 decimal places respectively) 2b) what is the value of the intercept of the least squares regression line? [answer should be in decimal form, rounded to 4 decimal places] 2c) what is the value of the slope of the least squares regression line? [answer should be in decimal form, rounded to 4 decimal places] 2d) what is the estimate of expected change in the deflection adjustment factor when temperature is increased by 1aF? [answer should be in decimal form, rounded to 4 decimal places] 2e) suppose temperature were measured in C rather than in F. What would the estimated intercept be gt the regression line? [Hint F = (9/5) C + 32; now substitute for the \"old X' in terms of the new x."] [answer should be in decimal form, rounded to 4 decimal places] 2f) suppose temperature were measured in C rather than in F. What would the estimated slope be gt the regression line? [Hint F = (9/5) C + 32; now substitute for the \"old X' in terms of the new x.\"] [answer should be in decimal form, rounded to 4 decimal places] 2g) what is the estimate of expected change in the deflection adjustment factor when temperature is increased by 50? [answer should be in decimal form, rounded to 4 decimal places] 2h) if a 2000F surface temperature were within the realm of possibility, I would use the estimated line of 2a,,h.c) to predict deflection factor for this temperature. True/ False