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.AverageNumber ofFacilitiesDistance(miles)1.67111.11160.82210.62270.50300.47(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.1.81.8351.8-1.61.61.61.4301.41.4a 1.21.2251.21.1.E 1.0.8200.80.8-0.60.6-150.6-0.4-0.4-0.40.2100.2-0.50.21015202530350.50.1015202530350.0.2 0.4 0.6 0.81. 1.2 1.4 1.6 1.8101520253035NumberNumberDistanceNumber(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 +.003589xDistance

(c) Let x be the number of facilities and y be the average distance. The regression analysis is…

(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

(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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

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

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