Question
Download Solution PDFFor the variables X, Y and Z, rxy = 0.80, rxz = 0.64, and ryz = 0.79, the square of multiple correlation coefficient
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe square of the multiple correlation coefficient is 0.64.
Key Points
- The multiple correlation coefficient (R) is a statistic that measures the strength of the relationship between multiple independent variables and a dependent variable.
- The square of the multiple correlation coefficient (R^2) is a measure of the proportion of variation in the dependent variable that is explained by the independent variables.
- The formula for
in terms of the pairwise correlations given by -
= 0.80, = 0.64, and = 0.79 - By putting the value of above variable in the equation.
- the square of the multiple correlation coefficient is approximately: 0.6386 or 0.64
Additional Information
- In this case, the square of the multiple correlation coefficient of 0.64 means that 64% of the variation in the dependent variable can be explained by the combination of the independent variables X, Y, and Z.
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