Compute the Standard Error of the Estimate
-Find the Standard $\mathrm { s } _ { \mathrm { e } }$

question 74

Multiple Choice

Compute the Standard Error of the Estimate
-Find the standard error of estimate, $\mathrm { s } _ { \mathrm { e } }$ , for the data below, given that $\hat { y } = - 0.206 \mathrm { x } + 2.097$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\mathrm{x} & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\\hline \mathrm{y} & 11 & -6 & 8 & -3 & -2 & 1 & 5 & -5 & 6 & 7\end{array}$

• A) \(6.306\)
• B) \(3.203\)
• C) \(5.918\)
• D) \(8.214\)

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values differ from the mean.

Average Donation

The mean amount given by donors, calculated by dividing the total amount of donations by the number of donors.

Dispersed Distribution

Refers to how spread out or scattered the data points are within a distribution.

Weighted Mean

An average in which each quantity to be averaged is assigned a weight, reflecting its importance or frequency.