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 1.65 11 1.12 16 0.83 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. 1.8 351 1.8 1.81 1.6 1.6 1.6 30 1.4 1.4 1.4 1.2 25 1.2 1.2 E 1. 1. 1. 20 0.8 0.8- 0.8 0.6 15 0.6- 0.6 .. 0.4 0.4 0.4 10 0.2 0.2 0.2 0. 5- 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 0. 5 10 15 20 25 30 35 0. 10 15 20 25 30 35 10 15 20 25 30 35 Number Distance Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is no relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. O Yes, the scatter diagram suggests that there is a linear relationship. (c) 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 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 1.65 11 1.12 16 0.83 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. 1.8 351 1.8 1.81 1.6 1.6 1.6 30 1.4 1.4 1.4 1.2 25 1.2 1.2 E 1. 1. 1. 20 0.8 0.8- 0.8 0.6 15 0.6- 0.6 .. 0.4 0.4 0.4 10 0.2 0.2 0.2 0. 5- 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 0. 5 10 15 20 25 30 35 0. 10 15 20 25 30 35 10 15 20 25 30 35 Number Distance Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is no relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. O Yes, the scatter diagram suggests that there is a linear relationship. (c) 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Transcribed Image Text: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
Distance
Number of
Facilities
(miles)
1.65
11
1.12
16
0.83
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 -
35-
1.8
1.8
1.6
1.6
1.6-
30
1.4-
1.4
1.4
1.2-
25
1.2
1.2
1.
1.
1.
20
0.8
0.8
0.8
0.6-
15
0.6-
0.6
0.4-
0.4
0.4
10
0.2
0.2
0.2
0.
5
0.-
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
10
15
20
25
30
35
Number
Distance
Number
Number
(b) Does a simple linear regression model appear to be appropriate? Explain.
O No, the scatter diagram suggests that there is no relationship.
No, the scatter diagram suggests that there is a curvilinear relationship.
O Yes, the scatter diagram suggests that there is a linear relationship.
(c) 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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