In: Statistics and Probability
The number of hours 12 students watched television during the weekend and the scored of each student who took a test the following Monday are listed below.
Hours |
0 |
1 |
2 |
3 |
3 |
5 |
5 |
5 |
6 |
7 |
7 |
10 |
Test |
96 |
85 |
82 |
74 |
87 |
68 |
76 |
70 |
66 |
65 |
75 |
50 |
a) Find linear regression equation using correct notation (for statistics) the given problem, round coefficients to 3 decimals. (no sentence here)
b) What is value of the slope and its meaning in context of the problem? Make sure you include units.
c) What is the value of the correlation coefficient, does this indicates a negative or positive
association and is correlation strong, weak or neither?
d) If a student watched 4 hours of TV during the weekend, what is the student predicated test score
on the Monday exam? (to one decimal)
e) If a student watched 6 hours of TV during the weekend, what is the student predicated test score
on the Monday exam? (to one decimal)
f) What is residual value for a student that watched 6 hours of TV during the weekend?
Explain what it means, in context of the problem