Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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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.
Average
Distance
Number of
Facilities
(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 T
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
5
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 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,x: a second-order model with one predictor variable. (Round your numerical values to four decimal places.)
Distance
Distance
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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) 1.67 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 T 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 5 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 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,x: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) Distance Distance
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