Unless all the observations lie on a straight line, it is impossible to fit a line such that $\sum e _ { i } ^ { 2 }$ = 0.

Name: Unless all the observations lie on a straight line, it is impossible to fit a line such that $\sum e _ { i } ^ { 2 }$ = 0.
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Question

Quizplus · Accepted Answer

If all observations do not lie on a straight line, there will always be some deviation (errors) from the fitted line, making it impossible for the sum of squared errors to be zero.

Unless All the Observations Lie on a Straight Line, It ∑ei2\sum e _ { i } ^ { 2 }∑ei2​

Unless All the Observations Lie on a Straight Line, It $\sum e _ { i } ^ { 2 }$