Assuming that the simple linear regression model Answer is C

Assuming that the simple linear regression model:

Answer is C, please show step by step on how to find it, thanks

Assuming that the simple linear regression model Y =+1rti is appropriate from. n = 14 observations we computed the estimated regression line y = .6649 + .83075 r. Given that Sw-41289 and Sry 4.4094, compute the estimated standard error for the slope. (a) 0.3176b) 0.0388 0.0855 0.0073 (e) of the preceding c) 0.0855

Solution

SE of regression slope = s_b1 = sqrt [ (y_i – _i)² / (n – 2) ] / sqrt [ (x_i – x)² ])=sqrt(Syy/12)/Sxx

now Syy=4.1289.

Sxy=4.094

Sxx=Sxy/b1=4.094/0.83075=5.3075

s_b1 =sqrt(4.1289/12)/sqrt(5.3075)=0.2564

answer is (e) none of the preceding