A simple regression model resulted in a sum of squares of error of 125 , and the standard error is 3.95.This model is for ______ pairs of data.
A)8
B)9
C)10
D)11
E)12

Question

Quizplus · Accepted Answer

The formula for the standard error of the estimate in a regression model is $\sqrt{\frac{SSE}{n-2}}$, where SSE is the sum of squares of error and $n$ is the number of data pairs. Given that the standard error is 3.95 and SSE is 125, we can solve for $n$ as follows: $3.95 = \sqrt{\frac{125}{n-2}}$. Squaring both sides gives $15.6025 = \frac{125}{n-2}$, and solving for $n$ gives $n = 10$.

A Simple Regression Model Resulted in a Sum of Squares