Question

Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression​ line? About the unexplained​ variation? requals=negative 0.387

Answer 1

Coefficient of determination = 0.149769

Explanation:

We are given the following in the question:

Coefficient of correlation, r = -0.387

We have to find the coefficient of determination.

Coefficient of determination =

`r^2 = (-0.387)^2 = 0.149769 = 14.98\%`

Coefficient of determination:

• It tells us about the variation explained in the model.
• This correlation of determination tells that 14.98% of the variation is explained in the model that is we can say that the independent variable explains 14.98% changes or prediction in the dependent variable.
• It ranges from 0 to 1 and a correlation of determination of 1 means that the dependent variable is 100% predicted by the independent variable.
• Correlation of determination of 0 means that the dependent variable cannot be predicted by the independent variable.