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 Number of Facilities Average Distance (miles) 11 1.13 16 0.82 21 0.62 27 0.52 30 0.46 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8T 1.6 1.8- 1.6 35 30 1.4- 1.4 1.2- 1.2 25 1. 1. 20 0.8 0.8 0.6 0.6 15 0.4 0.4 10 0.2 0.2 0. 0. 5 5 10 15 20 30 35 5 10 15 Number 20 25 30 35 Number 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 @O Distance Tab 0 1.8 1.6 • 1.4 1.2 1. 0.8 Type here to search Esc FnLock 1 0 LK A Fri I D $ *- % 0105 @ 2 W AJ+ 44 #3 E S N X Alt R T L3 6 > & 7 C 8 * 00 71°F D F G H J K C V B N M 1.2- 1. 1.2- 25 1. 0.8- 0.8 20 0.6- • 0.6 • 15 0.4 0.4 0.2 0.2 10 0. 0. 5 10 15 20 25 30 35 5 10 15 20 25 30 35 5 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 Number Number Distance 1.8 1.6 • 1.4 1.2 1.- 0.8 0.6 0.4 0.2 . 0. 10 15 20 25 30 35 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.) ŷ = Type here to search Esc FnLock 0 A AI F2 2 W N 叮小 *- F3 F4 F5 S #3 E X 20 All 4 لل R % 5 15 T 6 F7 & 7 ° * 00 2 この C D F G H J K C V B N M

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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
Number of
Facilities
Average
Distance
(miles)
11
1.13
16
0.82
21
0.62
27
0.52
30
0.46
(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.
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1.2-
1.2
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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 Number of Facilities Average Distance (miles) 11 1.13 16 0.82 21 0.62 27 0.52 30 0.46 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8T 1.6 1.8- 1.6 35 30 1.4- 1.4 1.2- 1.2 25 1. 1. 20 0.8 0.8 0.6 0.6 15 0.4 0.4 10 0.2 0.2 0. 0. 5 5 10 15 20 30 35 5 10 15 Number 20 25 30 35 Number 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 @O Distance Tab 0 1.8 1.6 • 1.4 1.2 1. 0.8 Type here to search Esc FnLock 1 0 LK A Fri I D $ *- % 0105 @ 2 W AJ+ 44 #3 E S N X Alt R T L3 6 > & 7 C 8 * 00 71°F D F G H J K C V B N M
1.2-
1.
1.2-
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(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.)
ŷ =
Type here to search
Esc
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0
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Transcribed Image Text:1.2- 1. 1.2- 25 1. 0.8- 0.8 20 0.6- • 0.6 • 15 0.4 0.4 0.2 0.2 10 0. 0. 5 10 15 20 25 30 35 5 10 15 20 25 30 35 5 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 Number Number Distance 1.8 1.6 • 1.4 1.2 1.- 0.8 0.6 0.4 0.2 . 0. 10 15 20 25 30 35 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.) ŷ = Type here to search Esc FnLock 0 A AI F2 2 W N 叮小 *- F3 F4 F5 S #3 E X 20 All 4 لل R % 5 15 T 6 F7 & 7 ° * 00 2 この C D F G H J K C V B N M
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