12.3.3 - Minitab - Simple Linear Regression

12.3.3 - Minitab - Simple Linear Regression

Minitab®  – Obtaining Simple Linear Regression Output

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

Residual plots for the SLR. The plots include the normal probability plot, versus fits, histogram and versus order for the residuals

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


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