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 Final grade, y 2 6 7 8 9. 89.0 86.2 83.2 80.8 77.8 73.4 63.8 68.3 65.4 62.6 (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. = - 3.110 x +
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 Final grade, y 2 6 7 8 9. 89.0 86.2 83.2 80.8 77.8 73.4 63.8 68.3 65.4 62.6 (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. = - 3.110 x +
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Part b

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. Complete parts (a) through (e)
below.
No. of absences, x
3
4
6
7
9
Final grade, y
89.0 86.2 83.2 80.8 77.8 73.4 63.8 68.3 65.4 62.6
(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.
= - 3.110 x + ( 89.045 )
(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 every unit change in the final grade, the number of days absent falls by
days, on average.
O B. For a final score of zero, the number of days absent is predicted to be
days.
O 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 slope.
Expert Solution

Step 1
The significance of slope : the change in variable y if x is increased by one unit.
Here,
x : Number of absence
y : Final Grade
Slope is here = -3.110
Hence if number of absence increases the final grade decreases
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