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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. Com No. of absences, x 0 1 2 3 4 5 6 7 8 9 0 Final grade, y 88.2 85.3 82.3 79.8 76.8 72.4 62.9 67.2 64.3 61.3 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the re y = - 3.150 x + ( 88.224 (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.) O A. For a final score of zero, the number of days absent is predicted to be days. O B. For every unit change in the final grade, the number of days absent falls by days, on averag O C. For zero days absent, the final score is predicted to be O D. For every day absent, the final grade falls by on average. O E. It is not appropriate to interpret the slope.

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. Com No. of absences, x 0 1 2 3 4 5 6 7 8 9 0 Final grade, y 88.2 85.3 82.3 79.8 76.8 72.4 62.9 67.2 64.3 61.3 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the re y = - 3.150 x + ( 88.224 (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.) O A. For a final score of zero, the number of days absent is predicted to be days. O B. For every unit change in the final grade, the number of days absent falls by days, on averag O C. For zero days absent, the final score is predicted to be O D. For every day absent, the final grade falls by on average. O E. It is not appropriate to interpret the slope.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 90CR
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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 zero days absent, the final score is predicted to be O B. For every day absent, the final grade falls by , on average. O C. For every unit change in the final grade, the number of days absent falls by days, on average. O 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 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.)
Transcribed Image Text: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 zero days absent, the final score is predicted to be O B. For every day absent, the final grade falls by , on average. O C. For every unit change in the final grade, the number of days absent falls by days, on average. O 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 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.)
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. Comp 0 1 2 7 No. of absences, x Final grade, y 3 4 5 6 8 88.2 85.3 82.3 79.8 76.8 72.4 62.9 67.2 64.3 61.3 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the res y = - 3.150 x+ (88.224) (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 a final score of zero, the number of days absent is predicted to be days. 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 every day absent, the final grade falls by on average. O E. It is not appropriate to interpret the slope.
Transcribed Image Text: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. Comp 0 1 2 7 No. of absences, x Final grade, y 3 4 5 6 8 88.2 85.3 82.3 79.8 76.8 72.4 62.9 67.2 64.3 61.3 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the res y = - 3.150 x+ (88.224) (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 a final score of zero, the number of days absent is predicted to be days. 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 every day absent, the final grade falls by on average. O E. It is not appropriate to interpret the slope.
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