Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. 0.767

1.what is the value of the coefficient ofdetermination? 2.what is the value of the coefficient of determination? 3.what is the percentage of the total variation that can be explained by the linear relationship between the twovariables?

Coefficient  of determination=0.5883

Percentage of total variation explained=58.83%

Step-by-step 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.

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