multiple regression to accomplish essentially the same purpose. The data are as follows: Number of Crimes Amount for Prevention Population Size 1 1 3 1 4 1 8. 11 9. 12 2 11 8. 2 12 6. 2 13 16 3 14 17 3. 16 13 3 17 14 3. a. Find the multiple regression equation for predict- ing the number of crimes using the amount spent on prevention and population as the two predictor variables. b. Find the value of R for the regression equation. 346 78
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.
![multiple regression to accomplish essentially the same
purpose. The data are as follows:
Number of
Crimes
Amount for
Prevention
Population
Size
3
1
4
7
1
1
7
1
8.
11
9.
11
8.
12
9.
13
16
3
14
17
3
16
13
3
17
14
3
a. Find the multiple regression equation for predict-
ing the number of crimes using the amount spent
on prevention and population as the two predictor
variables.
b. Find the value of R for the regression equation.
2. For the data in problem 21, the correlation between
0.933,
the number of crimes and population is r =
pronortion
34i2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e29c477-4d74-4cf4-b2f7-556f8fe8855a%2F2312ef64-bc4f-46fe-91c5-668b9c2600e5%2F5mj6zgg_processed.jpeg&w=3840&q=75)
![by the equation.
21. Problem 18 in Chapter 15 (p. 526) presented data
showing the number of crimes, the amount spend on
crime prevention, and the population for a set n = 12
cities. At that time, we used a partial correlation to
evaluate the relationship between the amount spent
on crime prevention and the number of crimes crime
while controlling population. It is possible to use
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e29c477-4d74-4cf4-b2f7-556f8fe8855a%2F2312ef64-bc4f-46fe-91c5-668b9c2600e5%2F3wvuxge_processed.jpeg&w=3840&q=75)
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