Question

The linear regressionequation andcorrelation coefficientfrom the above datawas calculated to be:Predicted y = 16.2+2.45(x) with r = 0.98What is the coefficientof determination?Answer Choices:A. Coefficient of determination = 0.98B. Coefficient of determination = 0.96C. Coefficient of determination = 0.99D. Coefficient of determination cannot be determined with only the given information.

Answer 1

Given:

`\text{ coefficient of correlation \lparen r\rparen = 0.98}`

To find:

Coefficient of determination

Step-by-step explanation:

The coefficient of determination is also known as the R squared value, which is the output of the regression analysis method.

If the value of R square is zero, the dependent variable cannot be predicted from the independent variable.

So, here the required coefficient of determination is:

`r^2=(0.98)^2=0.9604\approx0.96`

Final answer:

Hence, the required coefficient of determination is (B) 0.96.