4. In a certain section of a city, muggings have been a problem. The number of police officers patrolling thatsection of the city has varied. The following chart shows the number of police officers and the number ofmuggings for 8 successive days.Police2012181522102012officersMuggings 59.1086.1315a) What is the explanatory variable?What is the responsevariable?b) What is the least squares regression equation?c) What is the correlation coefficient, r?d) What is the coefficient of determination, r2?Interpret this result.Interpret this result.e) Use the equation in part (b) to estimate the average number of muggings when 16 police officers arepatrolling that section of the city

Answered: Image /qna-images/answer/74ccc442-d5d7-4d08-9d81-494a22d2eba6.jpg

section of the city has varied. The following chart shows the number of police officers and the number of muggings for 8 successive days. Police 20 12 18 15 10 20 12 officers Muggings 5 10 6 1 13 7 15 a) What is the explanatory variable? variable? b) What is the least squares regression equation? c) What is the correlation coefficient, r? What is the response Interpret this result. d) What is the coefficient of determination, r2? Interpret this result. e) Use the equation in part (b) to estimate the average number of muggings when 16 police officers are patrolling that section of the city 22

section of the city has varied. The following chart shows the number of police officers and the number of muggings for 8 successive days. Police 20 12 18 15 10 20 12 officers Muggings 5 10 6 1 13 7 15 a) What is the explanatory variable? variable? b) What is the least squares regression equation? c) What is the correlation coefficient, r? What is the response Interpret this result. d) What is the coefficient of determination, r2? Interpret this result. e) Use the equation in part (b) to estimate the average number of muggings when 16 police officers are patrolling that section of the city 22

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

4. In a certain section of a city, muggings have been a problem. The number of police officers patrolling that
section of the city has varied. The following chart shows the number of police officers and the number of
muggings for 8 successive days.
Police
20
12
18
15
22
10
20
12
officers
Muggings 5
9.
10
8
6.
13
15
a) What is the explanatory variable?
What is the response
variable?
b) What is the least squares regression equation?
c) What is the correlation coefficient, r?
d) What is the coefficient of determination, r2?
Interpret this result.
Interpret this result.
e) Use the equation in part (b) to estimate the average number of muggings when 16 police officers are
patrolling that section of the city

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