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 1.67 11 1.11 16 0.84 21 0.61 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8- 1.8 1.8- 35 1.6 1.6 1.6- 1.4 30 1.4 1.4- 1.2. 1.2 1.2- 25- . 1. 1. ● 20 ELU 0.8 0.8- . 0.6- 0.6 15- ● 0.4 0.4 0.2 10 0.2- 0. 5 5 10 25 30 5 10 15 20 25 30 35 5 10 15 20 25 30 35 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 15 20 Number O Number DO Number Distance @ Ⓡ (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 no relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. (c) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x²: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ= 1. 0.8 0.6 0.4 0.2 0. 35

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
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
1.67
11
1.11
16
0.84
21
0.61
27
0.51
30
0.48
(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.
CELL
0.2 0.4 0.6 0.8
1.2 1.4 1.6 1.8
Number
Number
Number
Distance
@
(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 no relationship.
O No, the scatter diagram suggests that there is a curvilinear relationship.
(c) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x²: a second-order model with one predictor variable. (Round your numerical values to four decimal places.)
ŷ =
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. Number of Facilities Average Distance (miles) 9 1.67 11 1.11 16 0.84 21 0.61 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. CELL 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1.8 Number Number Number Distance @ (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 no relationship. O No, the scatter diagram suggests that there is a curvilinear relationship. (c) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x²: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ =
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman