Question

Q7. In a regression analysis of r2 = 1, then
(a) SSE must also be equal to 1
(b) SSE must be equal to zero
(c) SSE can be any positive value
(d) SSE must be negative​

Answer 1

Answer:

In a regression analysis of r2 = 1, then option (b) is correct

(b) SSE must be equal to zero

Answer 2

Given,

In a regression analysis of $\[{r^2} = 1\]$, then

(a) SSE must also be equal to 1

(b) SSE must be equal to zero

(c) SSE can be any positive value

(d) SSE must be negative​

Solution,

Know that the ratio of SSE by SST is the proportion of total variation that cannot be explained by the simple linear regression model.

Therefore,

$\[ \Rightarrow {r^2} = 1 - \frac{{{\rm{SSE}}}}{{{\rm{SST}}}}\]$

Hence, the correct option is (b) i.e. SSE must be equal to zero.