Here is partial output from a simple regression analysis. The regression equation is EAFE = 4.76 + 0.663 S&P Analysis of Variance Source DF MS F P Regression 1 3445.9 3445.9 9.50 0.005 Residual Error Total 29 13598.3 Calculate the values of the following: The regression standard error, s, (Round to 3 decimal places) The coefficient of determination, r2 (Round to 4 decimal places) The correlation coefficient, r (Round to 4 decimal places)
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.
![Here is partial output from a simple regression analysis.
The regression equation is
EAFE = 4.76 + 0.663 S&P
Analysis of Variance
Source
DF
s
MS
F
Regression
1
3445.9
3445.9
9.50
0.005
Residual Error
Total
29
13598.3
Calculate the values of the following:
The regression standard error, s. (Round to 3 decimal places)
The coefficient of determination, r2 (Round to 4 decimal places)
The correlation coefficient, r (Round to 4 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bc1c07b-6490-44fb-8d7f-506c49573747%2F02f60094-4444-4835-8665-b199011c1d09%2Fbt89aha_processed.jpeg&w=3840&q=75)
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