How does multiplying each score by a (positive) constant affect the value of the correlation? The correlation changes sign. The correlation does not change. The correlation decreases. The correlation increases.
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.
![х Y
4
6.
5.
3
4
6
5
ΣΧ
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SSx
SSy
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SP
Add 2 points to each X value:
2 Added to Each X
X Y
6
8.
5.
2
11
4
8.
4
3
Compute the correlation for the modified scores using two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd647de80-073e-47f8-8715-47eee3123b7b%2Fdb761af7-70cb-44db-8e31-6e1403faa80d%2F482wc2_processed.jpeg&w=3840&q=75)
![ΣΧ
ΣΥ
SSx
SSy
ΣΧΥ
SP
How does adding a constant to every score affect the value of the correlation?
O The correlation decreases.
O The correlation increases.
O The correlation does not change.
O The correlation changes sign.
Multiply each of the original X values by 2:
Each X Multiplied by 2
X Y
8.
5.
12
6.
18
4
12
5.
4.
Compute the correlation for the modified scores using two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd647de80-073e-47f8-8715-47eee3123b7b%2Fdb761af7-70cb-44db-8e31-6e1403faa80d%2Fae2cgx4_processed.jpeg&w=3840&q=75)
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