Discussion
Coefficient of determination of a regression model :
1. Explains the proportion of total variation in the values of the dependent variable.
2. It can be used to derive the estimate of the extent of variation in the value of Y that is explained by the random factors.
3. Direction of inter-relation between the dependent and independent variables.
4. It explains the influence of the intercept on the dependent variable.
Select the correct code from the list given below :
Answer: B
The coefficient of determination explains the proportion of the total variation in the dependent variable (statement 1) and can be used to derive the extent of the variation in Y that is explained by the random factors, as one minus the coefficient (statement 2). So '1 and 2' is option B.
It does not show the direction of the relation between the variables (that is shown by the sign of the regression or correlation coefficient) and it does not explain the influence of the intercept, so statements 3 and 4 are wrong, and the other options are wrong.
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