During a semester, a class of n=50 students took two exams: a midterm and a final. The mean score for the midterm exam is 80 points with the standard deviation of 6 points. The mean score for the final exam is 85 points with the standard deviation of 10 points. The calculated coefficient of correlation (r) for the two scores is 0.75. (a) Calculate the value of SSE using the above information. (b) Based on the above information, construct a simple linear regression model for predicting the final score (y) using the midterm score (x). (c) Perform a two-tailed test of model utility using = 0.05. What is your conclusion?