(e) Develop an estimated regression equation for the data of the form ý - bg + bạx + bụ: a second-order mode d with one predictor variable. (Round your numerical values to four decimal places.) 9- 2.928 - 1885,x - .003589x

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A statistical program is recommended.
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.
Average
Number of
Facilities
Distance
(miles)
1.67
11
1.11
16
0.82
21
0.62
27
0.50
30
0.47
(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.
1.8
1.8
35
1.8-
1.6
1.6
1.6
1.4
30
1.4
1.4
a 1.2
1.2
25
1.2
1.
1.
E 1.
0.8
20
0.8
0.8-
0.6
0.6-
15
0.6-
0.4-
0.4-
0.4
0.2
10
0.2-
0.
5
0.2
10
15
20
25
30
35
0.
5
0.
10
15
20
25
30
35
0.
0.2 0.4 0.6 0.8
1. 1.2 1.4 1.6 1.8
10
15
20
25
30
35
Number
Number
Distance
Number
(b) Does a simple linear regression model appear to be appropriate? Explain.
O Yes, the scatter diagram suggests that there is a linear relationship.
O No, the scatter diagram suggests that there is a curvilinear relationship.
O No, the scatter diagram suggests that there is no relationship.
(c) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.)
ŷ = 2.928 – .188b,x +.003589x
Distance
Transcribed Image Text:A statistical program is recommended. 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. Average Number of Facilities Distance (miles) 1.67 11 1.11 16 0.82 21 0.62 27 0.50 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8 1.8 35 1.8- 1.6 1.6 1.6 1.4 30 1.4 1.4 a 1.2 1.2 25 1.2 1. 1. E 1. 0.8 20 0.8 0.8- 0.6 0.6- 15 0.6- 0.4- 0.4- 0.4 0.2 10 0.2- 0. 5 0.2 10 15 20 25 30 35 0. 5 0. 10 15 20 25 30 35 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 10 15 20 25 30 35 Number Number Distance Number (b) Does a simple linear regression model appear to be appropriate? Explain. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. O No, the scatter diagram suggests that there is no relationship. (c) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ = 2.928 – .188b,x +.003589x Distance
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