In working through your statistics homework you found that t

In working through your statistics homework, you found that the coefficient of determination is equal to .30. You conclude that ________.

       you’ve explained 30% of the variance in one variable by the variance in the other variable
       your variables are positively correlated, but the relationship isn’t very strong
       30% of the change in one variable is caused by the change in the other variable
       this result is not possible; you made an error somewhere

Solution

Coefficient of Determination Definition
It can be defined as the means of measurement of the variation of the dependent variable that is well explained by the regression line and the corresponding independent variable.

It helps to provide the proportion of the variance of one variable which is predictable from the other variabl

you’ve explained 30% of the variance in one variable by the variance in the other variable.