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atical program is recommer A study of emergency service facilities investigated the relationship betveen 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) 1.67 11 1.11 16 0.84 21 0.63 27 0.52 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 35 1.8 1.8 1.8 1.6 1.6 1.6 30- 1.4 1.2 1. 1.4 1.4 1.2 25 1.2 1. 1. 20 0.8 0.8 0.8 15 0.6 0.6- 0.6 0.4 0.4 0.4 10 .. 0.2 0.2 0.2 0. 0. 0. 0. 0.2 04 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 10 15 20 25 30 35 Distance Number 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.

atical program is recommer A study of emergency service facilities investigated the relationship betveen 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) 1.67 11 1.11 16 0.84 21 0.63 27 0.52 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 35 1.8 1.8 1.8 1.6 1.6 1.6 30- 1.4 1.2 1. 1.4 1.4 1.2 25 1.2 1. 1. 20 0.8 0.8 0.8 15 0.6 0.6- 0.6 0.4 0.4 0.4 10 .. 0.2 0.2 0.2 0. 0. 0. 0. 0.2 04 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 10 15 20 25 30 35 Distance Number 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.

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 24PFA
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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 Number of Facilities Distance (miles) 1.67 11 1.11 16 0.84 21 0.63 27 0.52 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 35 1.8 1.8 1.8 1.6 1.6 1.6 30 1.4 1.4 1.4 25 1.2 1.2 1.2 8 1.4 1. 1. 1. 20 0.8 0.8 0.8- 15 0.6 0.6 0.6- .. 0.4 0.4 0.4 10 0.2- 0.2- 0.2 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 0. 5 0. 5 0. 5 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 Distance Number 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 of the form ý = b, + b,x + b,x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) Number
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. Average Number of Facilities Distance (miles) 1.67 11 1.11 16 0.84 21 0.63 27 0.52 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 35 1.8 1.8 1.8 1.6 1.6 1.6 30 1.4 1.4 1.4 25 1.2 1.2 1.2 8 1.4 1. 1. 1. 20 0.8 0.8 0.8- 15 0.6 0.6 0.6- .. 0.4 0.4 0.4 10 0.2- 0.2- 0.2 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 0. 5 0. 5 0. 5 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 Distance Number 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 of the form ý = b, + b,x + b,x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) Number
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