Answer:
45.24%
Explanation:
Given that:
Correlation Coefficient (r) between number of hours a child play video games and number of minutes spent doing homework = - 0.74
The Coefficient of determination (r²) gives the percentage of variation in the dependent variable which can be explained by the independent variable.
Hence, the r² value = (-0.74)² = 0.5476 ; 54.76% which is about 55% variation in the number of minutes spent doing homework can be explained by the number of hours a child plays video games.
Hence the unexplained variance due to differences in children's ages is (100% - 54.76%) = 45.24%