Whats my grade? In Professor Friedmans economics course the correlationbetween the

Chapter 0, Problem 5.31

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Whats my grade? In Professor Friedmans economics course the correlationbetween the students total scores prior to the final examination and theirfinal-examination scores is r = 0.6. The pre-exam totals for all students in thecourse have mean 280 and standard deviation 30. The final-exam scores havemean 75 and standard deviation 8. Professor Friedman has lost Julies final exam but knows that her total before the exam was 300. He decides to predict herfinal-exam score from her pre-exam total.(a) What is the slope of the least-squares regression line of final-exam scores onpre-exam total scores in this course? What is the intercept?(b) Use the regression line to predict Julies final-exam score.(c) Julie doesnt think this method accurately predicts how well she did on thefinal exam. Use r 2 to argue that her actual score could have been much higher (ormuch lower) than the predicted value.

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