A bivariate relationship has a correlation coefficient ( � ) (r) of 0.78. 0.78. Identify the coefficient of determination of this relationship:
Question
A bivariate relationship has a correlation coefficient
.
Identify the coefficient of determination of this relationship:
Solution
The coefficient of determination is calculated by squaring the correlation coefficient. In this case, the correlation coefficient (r) is 0.78.
Step 1: Identify the correlation coefficient. In this case, it is 0.78.
Step 2: Square the correlation coefficient. This is done by multiplying the correlation coefficient by itself.
0.78 * 0.78 = 0.6084
So, the coefficient of determination of this relationship is 0.6084. This means that approximately 60.84% of the variance in one variable is predictable from the other variable.
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