Question

a guidance counselor wants to determine if there is a relationship between a students number of absences, x, and their grade point average (gpa), y. an analysis is performed on the data for 15 randomly selected students and is displayed in the computer output.
predictor coef se coef t - ratio p
constant 3.790 0.3120 0.046
absences - 0.096 0.0393 - 2.460 0.029
s = 0.691 r - sq = 31.7% r - sq(adj) = 33.5%
which of the following represents the value of the average residual for a students gpa?

• 0.096

0.0393
0.3120
0.691

Explanation:

Step1: Recall the definition of average residual

In regression analysis, the standard deviation of the residuals ($s$) is an estimate of the average amount that the observations deviate from the regression line.

Step2: Identify the value of $s$

From the computer output, we are given that $s = 0.691$.

Answer:

$0.691$