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 Distance Number of Facilities (miles) 1.66 11 1.12 16 0.83 21 0.63 27 0.50 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8T 35T 1.8 1.8T 1.6 1.6 1.6 30 - 1.4 1.4 1.4 1.2 25 1.2 1.2 1.2 1. 1. 1. 20 8- 0.6 0.4 02 0.8 0.8 0. 15 0.6 0.6 .. 0.4 0.2 0.4 10 A scatter diagram has 6 points. The horizontal axis ranges from O to 1.8 and is labeled: Distance The vertical ais ranges from 5 to 35 and is jabeled: Number. Moving from, left to nght the leftmost point s at approimately (0.4s, 3b) with the net fve points extending downward. The pojnts decrease steeply at first and then level of. 0.2 0. 0. 5. 0. 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 Number Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is a curvilinear relationship. O Yes, the scatter diagram suggests that there is a linear 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 = bo + b,x + bx: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) aaqumN
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 Distance Number of Facilities (miles) 1.66 11 1.12 16 0.83 21 0.63 27 0.50 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8T 35T 1.8 1.8T 1.6 1.6 1.6 30 - 1.4 1.4 1.4 1.2 25 1.2 1.2 1.2 1. 1. 1. 20 8- 0.6 0.4 02 0.8 0.8 0. 15 0.6 0.6 .. 0.4 0.2 0.4 10 A scatter diagram has 6 points. The horizontal axis ranges from O to 1.8 and is labeled: Distance The vertical ais ranges from 5 to 35 and is jabeled: Number. Moving from, left to nght the leftmost point s at approimately (0.4s, 3b) with the net fve points extending downward. The pojnts decrease steeply at first and then level of. 0.2 0. 0. 5. 0. 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 Number Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is a curvilinear relationship. O Yes, the scatter diagram suggests that there is a linear 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 = bo + b,x + bx: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) aaqumN
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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Question
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.
Number of
Facilities
Average
Distance
(miles)
9
1.66
11
1.12
16
0.83
21
0.63
27
0.50
30
0.48
(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.
1.8T
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
104
A scatter diagram has 6 points. The horizontal axis ranges from
O to 1.8 and is labeled: Distance. The vertical axis ranges from 5
to 35 and is labeled: Number. Moying, from, left to right, the
leftmost point is at'approximately (0.48, 36), with the next five
points extending downward. The points d
@O and then level off.
0.2
0.2
0.2
0.
0.
0.
5
10
15
20
25
30
35
10
15
20
25
30
35
10
15
20
25
30
35
Number
ecrease steeply at first
Number
Number
(b) Does a simple linear regression model appear to be appropriate? Explain.
O No, the scatter diagram suggests that there is a curvilinear relationship.
O Yes, the scatter diagram suggests that there is a linear 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
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