Question

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for s was 0.67.

Answer 1

The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.

The given parameters are:

• n = 15
• s = 0.67

Variable s

In regression, the variable s represents the average distance that the observed values fall from the regression line

The grade points

In this case, we have:

• The observed grade points and
• The predicted grade points

Hence, 0.67 represents the typical distance between the observed grade points and predicted grade points.

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