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What is true about the set of residuals produced by a least squares adjustment? Given Options...

What is true about the set of residuals produced by a least squares adjustment?

Given Options (Select one Answers):

It produces one of many sets of residuals for a group of observations that have a low probability of occurrence.
It produces that unique set of residuals for a group of observations that have the lowest probability of occurrence.
It produces that unique set of residuals for a group of observations that have the highest probability of occurrence.
It produces one of many sets of residuals for a group of observations that have a high probability of occurrence.
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Answer #1

Correct option is 3rd - It Produces unique set of residual for a group of observation that have highest probability of occurence.

See in below figure, it follow the normal distribution and marked one value is unique set of residual for whole observed  data in a group and that has highest probability of occurence .

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