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The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university.

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The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. No. of absences, x 0 1 2 3 4 5 6 7 8 9 2 Final grade, y 88.5 85.7 827 80.4 77 4 73.1 63.8 68.1 65.2 62.4 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the response variable. y = X +(D (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. For every day absent, the final grade falls by , on average. O B. For every unit change in the final grade, the number of days absent falls by days, on average. O C. For zero days absent, the final score is predicted to be D. For a final score of zero, the number of days absent is predicted to be days. O E. It is not appropriate to interpret the slope Interpret the y-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. For a final score of zero, the number of days absent is predicted to be days. B. For every unit change in the final grade, the number of days absent falls by days, on average. C. For every day absent, the final grade falls by , on average. O D. For zero days absent, the final score is predicted to be O E. It is not appropriate to interpret the y-intercept (c) Predict the final grade for a student who misses five class periods and compute the residual. Is the observed final grade above or below average for this number of absences? The predicted final grade is . This observation has a residual of , which indicates that the final grade is average. (Round to one decimal place as needed.) (d) Draw the least-squares regression line on the scatter diagram of the data. Choose the correct graph below. A. O B. OC. Ay 100 100 100 Vi Textbook Statcrunch O OC S 9 MHAVOSKC15

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