Question
The RU Office Equipment Corporation sells an imported copier on a franchise basis and performs preventive maintenance and repair service on this copier. The data
The RU Office Equipment Corporation sells an imported copier on a franchise basis and performs preventive maintenance and repair service on this copier. The data stored (copier.xlsx) have been collected from 35 recent calls on users to perform routine preventive maintenance servic e: for each call, the number of copiers serviced (X) and the total number of minutes spent by the service person (Y). The company wants to study the relationship between the number of copiers serviced and the total service time required to repair the copiers. Answer the following questions given significance level =0.05. (a) Express the relation between X and Y in a simple linear regression model with X as an independent variable and Y as a dependent variable. (b) Using the least-squares method and the data, determine the regression coefficients, 0 and 1, of the model in (b). (c) Is there evidence of a linear effect of X on Y? Answer based on the F test in ANOVA analysis. (d) Determine the coefficient of determination, 2, and interpret its meaning. (e) Determine the standard error of estimate, and interpret its meaning. (f) Conduct a t test about the population slope 1. Answer based on the t test in the critical approach. (g) Compute the expected total service time when the number of copiers is 6.5.
Number of copiers | Total service minutes |
2 | 41 |
1 | 12 |
10 | 137 |
5 | 89 |
1 | 4 |
2 | 32 |
9 | 144 |
6 | 93 |
3 | 36 |
4 | 72 |
8 | 100 |
7 | 105 |
8 | 131 |
10 | 127 |
4 | 57 |
5 | 66 |
5 | 74 |
9 | 134 |
2 | 18 |
5 | 73 |
7 | 111 |
6 | 96 |
8 | 123 |
5 | 90 |
2 | 28 |
1 | 3 |
4 | 57 |
5 | 86 |
9 | 132 |
7 | 112 |
1 | 27 |
9 | 131 |
2 | 34 |
2 | 27 |
4 | 61 |
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