choose any numbers of your choice and answer all the questions related to it

Pick a sample of six students and record their GPA and number of hours spent studying (pick numbers of your own choice). a. Graph the scatter plot. b. Compute the value of the correlation coefficient. c. Test the significance of the correlation coefficient. Use alpha equal to 0. 05 d. Find the equation of the regression line. e. Plot the regression line. f. Find the residuals. g. Graph the residual plot. h. Find the three types of variation. i. Find and interpret the coefficient of determination. j. Find the sum of the squares of the residuals (least square). k. calculate and interpret the standard error S. 1. Test whether a linear relationship exists between x and y