(e) Develop an estimated regression equation for the data of the form ý - bg + bạx + bụ: a second-order mode d with one predictor variable. (Round your numerical values to four decimal places.) 9- 2.928 - 1885,x - .003589x

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
icon
Related questions
icon
Concept explainers
Question
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
0.82
21
0.62
27
0.50
30
0.47
(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.
1.8
1.8
35
1.8-
1.6
1.6
1.6
1.4
30
1.4
1.4
a 1.2
1.2
25
1.2
1.
1.
E 1.
0.8
20
0.8
0.8-
0.6
0.6-
15
0.6-
0.4-
0.4-
0.4
0.2
10
0.2-
0.
5
0.2
10
15
20
25
30
35
0.
5
0.
10
15
20
25
30
35
0.
0.2 0.4 0.6 0.8
1. 1.2 1.4 1.6 1.8
10
15
20
25
30
35
Number
Number
Distance
Number
(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 a curvilinear 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,x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.)
ŷ = 2.928 – .188b,x +.003589x
Distance
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 0.82 21 0.62 27 0.50 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8 1.8 35 1.8- 1.6 1.6 1.6 1.4 30 1.4 1.4 a 1.2 1.2 25 1.2 1. 1. E 1. 0.8 20 0.8 0.8- 0.6 0.6- 15 0.6- 0.4- 0.4- 0.4 0.2 10 0.2- 0. 5 0.2 10 15 20 25 30 35 0. 5 0. 10 15 20 25 30 35 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 10 15 20 25 30 35 Number Number Distance Number (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 a curvilinear 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,x2: a second-order model with one predictor variable. (Round your numerical values to four decimal places.) ŷ = 2.928 – .188b,x +.003589x Distance
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt