Publish On: 2019-04-21

# Jason steev

Total Post: 475

## Question: What are the characteristics of least squares fitted in a straight line

Reply On: 2013-07-10

# Gaurabh Raghav

Total Post: 33

## ANS: What are the characteristics of least squares fitted in a straight line

**1.**It gives the best fit to the data in the sense that it makes the sum of the squared deviations from the line

**Σ(Y – Yc)**smaller than they would be from any other straight line. This property accounts for the name least squared

^{2}2. The deviations above the line equal those below the line on the average. This means that ht total of the positive and negative deviations are zero. Or

**Σ(Y – Yc) = 0**.

**3.**The straight line goes thought the overall mean of the data

**(X.Y)**

**4.**When the data represent a simply form a large population the least squares line is a best estimate of the population regression line.

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