A linear regression was performed on a bivariate data set with variables x and y. Analysis by a computer software package included the following outputs: Sample Size: n=15 Regression Equation: y hate...

A linear regression was performed on a bivariate data set with variables x and y. Analysis by a computer software package included the following outputs:

Sample Size: n=15

Regression Equation: y hate =0.359 - 1.264x

Coefficient of Determination: r square = 0.915

Sums of Squares :SSy = 35.617. SSex = 32.589, SSresid = 3.028

a. Calculate the standard error Se.

b. write a sentence interpreting the value of rsquare.

c.What is the value of Pearson's correlation coefficient?

d. Determine whether the variables x and y are significant using a 5% significance level. You may assume a simple random sample from a bivariate normal populaton.