In the following R program, resampling was used to estimate the bias and variance of the sample correlation between the variables in the vectors x and y (a) Estimate the bias of the sample correlation...

In the following R program, resampling was used to estimate the bias and variance of the sample correlation between the variables in the vectors x and y

(a) Estimate the bias of the sample correlation coefficient.

 (b) Estimate the standard deviation of the sample correlation coefficient.

 (c) Estimate the MSE of the sample correlation coefficient.

 (d) What fraction of the MSE is due to bias? How serious is the bias? Should something be done to reduce the bias? Explain your answer.