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 |
88.6 |
85.7 |
82.6 |
80.1 |
77.177.1 |
72.672.6 |
63.2 |
67.4 |
64.4 |
61.4 |
(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.
ModifyingAbove y with caretyequals=nothingxplus+left parenthesis nothing right parenthesis
(Round to three decimal places as needed.)
The statistical software output for this problem is:
Hence,
a) Regression equation will be:
= 88.631 + (-3.182) x
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