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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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