Final answer:
The explained variation when the correlation coefficient is 0.79 is 62.4%, which is obtained by squaring the correlation coefficient (r² = 0.79² = 0.6241).
Step-by-step explanation:
If the correlation coefficient is 0.79, to find the explained variation, we need to calculate the coefficient of determination. This is obtained by squaring the correlation coefficient:
r² = 0.79² = 0.6241
Expressed as a percentage, the explained variation is 62.41% which rounds off to 62.4%. Therefore, the answer is B) 62.4%. This value represents the proportion of the variance in the dependent variable that is predictable from the independent variable.