[10](48) Shown partially below are the data where Ly:x = GPA (grade point average) and Ly: y = starting salaries (rounded to the nearest thousand dollars) of nine recent college non-engineering graduates and its output using TI-83/84. Link. WTTest Xlist:L Vlist:L: B &_PIES 0 t=. 241515638 RegEQ: Calculate a=18. 95041372 416221 =. 9554851976 Further using the output, we calculate the following values: Total Variation = _(y - V)? = 91.42857143, and Explained Variation = )()' -y)? = 83.46989374 a) Find the value of the coefficient of determination , and interpret the meaning for this problem. b) Find the value of the linear correlation coefficient r. c) We wish to test if there is a significant relationship between x and y with a significance level of @ = 0.01. Set up the hypotheses. Ho: HI: d) Find the value of the test statistic, and the critical values. e) Perform the hypothesis test using the p-value approach.[ If there is a linear correlation, what is the regression equation? 8) Interpret the meaning of the slope b for this problem. h) Interpret the meaning of the y-intercept a for this problem. Will this make sense to the data set? i) Using (g), find the predicted starting salary if the GPA is 3.25. i) Find the standard error of estimate s. k) Find the value of the unexplained variation