In: Statistics and Probability
An office equipment corporation performs preventive maintenance and repair on the line of copiers that it sells. For 45 recent service calls data has been collected on the number of copiers serviced during the call and the number of minutes spent on the call by the service person. The company would like to develop a regression model that can be used to predict the amount of time (in minutes) that a call will require based on the number of copiers that need to be serviced.
Minutes |
Serviced |
20 |
2 |
60 |
4 |
46 |
3 |
41 |
2 |
12 |
1 |
137 |
10 |
68 |
5 |
89 |
5 |
4 |
1 |
32 |
2 |
144 |
9 |
156 |
10 |
93 |
6 |
36 |
3 |
72 |
4 |
100 |
8 |
105 |
7 |
131 |
8 |
127 |
10 |
57 |
4 |
66 |
5 |
101 |
7 |
109 |
7 |
74 |
5 |
134 |
9 |
112 |
7 |
18 |
2 |
73 |
5 |
111 |
7 |
96 |
6 |
123 |
8 |
90 |
5 |
20 |
2 |
28 |
2 |
3 |
1 |
57 |
4 |
86 |
5 |
132 |
9 |
112 |
7 |
27 |
1 |
131 |
9 |
34 |
2 |
27 |
2 |
61 |
4 |
77 |
5 |
(c) Interpret the value of the sample slope in the context of this problem.
(d) Find a 95% confidence interval for the population slope.
(e) Report and interpret the value of the coefficient of determination R2. Also calculate the value of the correlation coefficient r.