Question
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.
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 | |
---|---|---|---|---|---|---|---|---|---|---|---|
Final grade, y | 89.4 | 86.4 | 83.4 | 80.8 | 77.8 | 73.4 | 63.8 | 68.1 | 65.2 | 62.2 |
(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+_____
(b) 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 ____(above,
below, average.)
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