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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. 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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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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. 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
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- 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
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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