We previously created a scatterplot of quiz averages and final exam scores and observed a linear relationship. Here, we will use quiz scores to predict final exam scores.

1. Open the Minitab file: Exam.mpx
2. Select Stat > Regression > Regression > Fit Regression Model...
3. Select Final in the box on the left to insert it into the Response box on the right
4. Select Quiz_Average in the box on the left to insert it into the Continuous Predictors  box on the right
5. Under the Graphs tab, click the box for Four in one
6. Click OK

This should result in the following output:

Simple Regression: Final versus Quiz_Average

Regression Equation

Final = 12.1 + 0.751 Quiz_Average

Coefficients

Term	Coef	SE Coef	T-Value	P-Value	VIF
Constant	12.1	11.9	1.01	0.315
Quiz_Average	0.751	0.141	5.31	0.000	1.00

Model Summary

S	R-sq	R-sq(adj)	R-sq(pred)
9.71152	37.04%	35.73%	29.82%

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Regression	1	2664	2663.66	28.24	0.000
Quiz_Average	1	2664	2663.66	28.24	0.000
Error	48	4527	94.31
Total	49	7191

Fits and Diagnostics for Unusual Observations

Obs	Final	Fit	Resid	Std Resid
11	49.00	70.50	-21.50	-2.25	R
40	80.00	61.22	18.78	2.03	R
47	37.00	59.51	-22.51	-2.46	R

R Large residual

On the next page you will learn how to test for the statistical significance of the slope.