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In Professor Friedman's economics course the correlation between the students' total scores prior to the final...

In Professor Friedman's economics course the correlation between the students' total scores prior to the final examination and their final-examination scores is r = 0.45. The pre-exam totals for all students in the course have mean 280 and standard deviation 34. The final-exam scores have mean 75 and standard deviation 8. Professor Friedman has lost Julie's final exam but knows that her total before the exam was 295. He decides to predict her final-exam score from her pre-exam total.

(a) What is the slope of the least-squares regression line of final-exam scores on pre-exam total scores in this course? (Round your answer to four decimal places.)

What is the intercept? (Round your answer to two decimal places.)

(b) Use the regression line to predict Julie's final-exam score. (Round your answer to one decimal place.)

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