Problem 1. The Tri-City Office Equipment Corporation sells an imported copier on a franchise basis and performs preventative maintenance and repair service on this copier. See the corresponding dataset (on D2L, labelled) collected from 45 recent service calls. X is the number of copiers serviced, and Y is the total amount of minutes spent by the service person. (a) Find the mean and variance of each variable. Clearly label each. (b) Find the five number summaries of each variable. (c) Calculate the linear correlation coefficient. Would you support fitting a line to this data? Why? (d) Find the line of best fit. (e) Does the y-intercept bo have any physical meaning here? Why or why not? (f) What exactly does the slope tell us in the context of this problem? (g) Obtain a point estimate (fitted value) for the expected service time when X 7 copiers are serviced? Is this an appropriate use of our model? 2 20 4 60 3 46 2 41 1 12 10 137 68 5 89 4 2 32 144 10 156 6 93 3 36 4 72 8 100 105 7 131 10 127 57 66 101 109 74 134 112 18 5 73 111 96 123 90 5 20 2 28 3 4 57 86 132 112 7 27 131 34 2 27 61 77 с о иnгrО агN огоФ oN ара Nна NNRN

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Note here that the Y column (minutes spent) is the first, and the X column (number of copiers serviced) is the second.

Problem 1.
The Tri-City Office Equipment Corporation sells an imported copier on a franchise
basis and performs preventative maintenance and repair service on this copier. See the
corresponding dataset (on D2L, labelled) collected from 45 recent service calls. X is the
number of copiers serviced, and Y is the total amount of minutes spent by the service
person.
(a) Find the mean and variance of each variable. Clearly label each.
(b) Find the five number summaries of each variable.
(c) Calculate the linear correlation coefficient. Would you support fitting a line to this
data? Why?
(d) Find the line of best fit.
(e) Does the y-intercept bo have any physical meaning here? Why or why not?
(f) What exactly does the slope tell us in the context of this problem?
(g) Obtain a point estimate (fitted value) for the expected service time when X 7
copiers are serviced? Is this an appropriate use of our model?
Transcribed Image Text:Problem 1. The Tri-City Office Equipment Corporation sells an imported copier on a franchise basis and performs preventative maintenance and repair service on this copier. See the corresponding dataset (on D2L, labelled) collected from 45 recent service calls. X is the number of copiers serviced, and Y is the total amount of minutes spent by the service person. (a) Find the mean and variance of each variable. Clearly label each. (b) Find the five number summaries of each variable. (c) Calculate the linear correlation coefficient. Would you support fitting a line to this data? Why? (d) Find the line of best fit. (e) Does the y-intercept bo have any physical meaning here? Why or why not? (f) What exactly does the slope tell us in the context of this problem? (g) Obtain a point estimate (fitted value) for the expected service time when X 7 copiers are serviced? Is this an appropriate use of our model?
2
20
4
60
3
46
2
41
1
12
10
137
68
5
89
4
2
32
144
10
156
6
93
3
36
4
72
8
100
105
7
131
10
127
57
66
101
109
74
134
112
18
5
73
111
96
123
90
5
20
2
28
3
4
57
86
132
112
7
27
131
34
2
27
61
77
с о иnгrО агN огоФ oN ара Nна NNRN
Transcribed Image Text:2 20 4 60 3 46 2 41 1 12 10 137 68 5 89 4 2 32 144 10 156 6 93 3 36 4 72 8 100 105 7 131 10 127 57 66 101 109 74 134 112 18 5 73 111 96 123 90 5 20 2 28 3 4 57 86 132 112 7 27 131 34 2 27 61 77 с о иnгrО агN огоФ oN ара Nна NNRN
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