11. Use the following information to create a regression model: =81 (x, - x) = 60 (x, - X)(, -)=84 i=1 i=1 i=1 x? = 789 i=1 72 12 , = 144 (, - Y) = 1 3 (Y, 60 6,x;)* = 26.4 i=1 i=1 i=1 n=9 A. Calculate the sample mean, variance, and standard deviation for X and for Y. B. Calculate the sample covariance and the correlation between X and Y. C. Calculate , and , for a regression of the form Y; = 60 + @ X;. For the remaining three parts of this question, assume that the calculations shown above already incorporate the correct values for b, and @i. D. Find the total variation, explained variation, and unexplained variation. E. Find the coefficient of determination. F. Find the standard error of the estimate