Admissions offices of colleges and universities are interested in any informatio

Question

Admissions offices of colleges and universities are interested in any information that can
help them determine which students will be successful at their institution.

For example, could students' high school grade point averages (GPA) be useful in predicting their first-year college GPAs? Data on high school GPA and first-year college GPA from a random sample of 32 college students attending a state university.

The results of the regression analysis are shown below.

Discuss conclusions that can be made using a significance level of 0.05.

Discuss factors that may determine the unexplained variation in the first year college GPAs.

Explanation / Answer

You need to provide the data of the regression analysis in order to test whether this precited relationship is significant or not.

The regression result typically contains a p-value, which if less than the value 0.05, tells that the relationship is indeed significant.

The explained variation by the regression equation is given by the R2 value.

The formula for the % explained variation is: R2*100

The unexplained variation is the 100 minus the explained variation.

Hope this helps !

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