Question

55. The Sum of Squared Errors for a data set of $18$ numbers is $49.$What is the standard deviation?

Short answer

The standard deviation of the Sum of Squared Errors for a data set of $18$numbers is $1.65$.

Step-by-step solution

Given information

Given in the question that the Sum of Squared Errors for a data set of $18$numbers is $49$with the standard deviation.

Explanation

The standard deviation of the residuals is,
$s=\sqrt{\frac{SEE}{z-2}}$
Where, $SSE=49$is sum of squared errors and $n=18$is sample size.

Substitute the values and the standard deviation is,
$s=\sqrt{\frac{SEE}{4-2}}$

$=\sqrt{\frac{49}{18}}$

$=1.65$