A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.66 11 1.13 16 0.83 21 0.61 27 0.51 30 0.46   2. .Does a simple linear regression model appear to be appropriate? Explain. a.No, the scatter diagram suggests that there is no relationship. b.No, the scatter diagram suggests that there is a curvilinear relationship. c.Yes, the scatter diagram suggests that there is a linear relationship.   3.Develop an estimated regression equation for the data corresponding to a second-order model with one predictor variable. (Round your numerical values to four decimal places.)

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A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected.

Number of
Facilities
Average
Distance
(miles)
9 1.66
11 1.13
16 0.83
21 0.61
27 0.51
30 0.46
 

2. .Does a simple linear regression model appear to be appropriate? Explain.

a.No, the scatter diagram suggests that there is no relationship.

b.No, the scatter diagram suggests that there is a curvilinear relationship.

c.Yes, the scatter diagram suggests that there is a linear relationship.

 

3.Develop an estimated regression equation for the data corresponding to a second-order model with one predictor variable. (Round your numerical values to four decimal places.)

(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.
1.8
35
1.8
1.6-
1.6
30
1.4
1.4
1.2
25
1.2
1.
1.
20
0.8
0.8
0.6
15
0.6
0.4
0.4
A scatter diagram has 6 points. The horizontal axis ranges from 0
to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to
35 and is labeled: Number. Moving from left to right, the leftmost
point is at approximately (0.46, 30), with the next five points
extending downward. The points decrease steeply at first and then
0.2
0.2
0.
0.
10
15
20
25
30
35
10
15
20
25
30
35
Number
Number
(i O level off.
1.8
1.6
1.4
1.2
1.
0.8
0.6
0.4
0.2
0.-
10
15
20
25
30
35
Number
Distance
Distance
Number
Distance
Transcribed Image Text:(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8 35 1.8 1.6- 1.6 30 1.4 1.4 1.2 25 1.2 1. 1. 20 0.8 0.8 0.6 15 0.6 0.4 0.4 A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.46, 30), with the next five points extending downward. The points decrease steeply at first and then 0.2 0.2 0. 0. 10 15 20 25 30 35 10 15 20 25 30 35 Number Number (i O level off. 1.8 1.6 1.4 1.2 1. 0.8 0.6 0.4 0.2 0.- 10 15 20 25 30 35 Number Distance Distance Number Distance
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