Answer:
Coefficient of determination=0.5883
Percentage of total variation explained=58.83%
Explanation:
The given correlation coefficient=r=0.767.
The coefficient of determination R² can be determine by taking square of correlation of coefficient.
R²= (0.767)²=0.5883.
The coefficient of determination R² illustrates the variation explained by the linear relationship between two variables.
R²=0.5883= (0.5883*100)%=58.83%
Hence, 58.83% of total variation can be explained by linear relationship of two variables.