Question

The coefficient of determination: Is a measure of the amount of variability in one variable that is shared by the other. Indicates whether the correlation coefficient is significant. Is the square root of the variance. Is the square root of the correlation coefficient.

Answer 1

Correct option:

Is a measure of the amount of variability in one variable that is shared by the other.

Explanation:

R-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.

The coefficient of determination R² specifies the percentage of the variance in the dependent-variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent variable).

The coefficient of determination R² can be computed by the formula,

`R^(2)=[r(X,Y)]^(2)`

Or,

`R^(2)=(MSS)/(TSS)`

Here,

MSS = model/regression sum of squares

TSS = total sum of squares

Thus, the correct option is:

" Is a measure of the amount of variability in one variable that is shared by the other."