Problem 4 35 points Let x1 y1 x2 y2 X3 3 x12 y12 be a simple random sample from a population of bivariate data The variable X is x1 x2 x3 X12 The variable Y is y y2 3 12 The values of the terms in the sample are presented in the table below 7 is not given and you may need to find it The coefficient of determination is 0 9187 i Xi 112345 3 11 14 5 6 4 2 3 4 32 66 44 76 8 17 7 8 9 10 11 12 3 A What is the sample size n B Compute the correlation coefficient C Find the value of y7 91 y 23 54 45 49 62 89 17 33 65 81 D Hand draw the scatter plot of the sample E Calculate the least squares coefficients for the least squares line for the sample Then write down the equation for the least squares line F Predict the value of Y when the value of X is 32 i e x4 What is the residual when X is 32 G Briefly explain why we should not extrapolate a least squares line