Question

If the coefficient of determination is 1.0 in a regression problem, the: a total sum of squares must be 0.0. b regression sum of squares must be 1.0. c error sum of squares must be 1.0. d residual sum of squares must be 0.0.

          If the coefficient of determination is 1.0 in a regression problem, the:
a total sum of squares must be 0.0.
b regression sum of squares must be 1.0.
c error sum of squares must be 1.0.
d residual sum of squares must be 0.0.

Added by Josep Y.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/19/2023

Step 1

It is calculated as the ratio of the regression sum of squares (SSR) to the total sum of squares (SST): $$R^2 = \frac{SSR}{SST}$$ If $R^2 = 1.0$, this means that the regression line perfectly fits the data, and there is no error in the predictions. In this case, Show more…

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If the coefficient of determination is 1.0 in a regression problem, the: total sum of squares must be 0.0. regression sum of squares must be 1.0. error sum of squares must be 1.0. residual sum of squares must be 0.0.