Question

Below are a set of heights (in inches) and GPA scores for a sample of 6 students.
Height, GPA
60, 4.0
55, 3.2
62, 3.7
55, 3.9
49, 2.4
61, 2.7

Based on this data, what is the GPA prediction for a student who is 56 inches tall? Is your GPA estimate of a 56 inch student reliable?

Answer 1

Let's use minitab:

Step 1) First enter the given data set in minitab columns.

Step 2) Click on Stat>>>Regression>>>General regression...

Response: select GPA

Model: select Height

then click on OK and again Click on OK

So we get the following minitab output

From the above output the regression equation is GPA = - 0.37 + 0.0648 Height

Put Height = 56, in the above equation

GPA = - 0.37 + 0.0648*56 = 3.2588

Is your GPA estimate of a 56 inch student reliable?

The estimate of GPA based on the regression equation for given Height = 56 is not reliable.

Because the p-value = 0.331 which is very height ( > 0.05). So we conclude that the GPA does not depend on height.