
The VIF information is automatically generated in table of Coefficients. Step 4: Check whether multicollinearity exists in the model. In this example, p-value is much smaller than alpha level (0.05), hence we reject the null hypothesis the model is statistically significant. H 1: The model is statistically significant (i.e., at least one predictor parameter is significantly different from zero).H 0: The model is not statistically significant (i.e., all the parameters of predictors are not significantly different from zeros).If not, we need to re-examine the predictors or look for new predictors before continuing. Step 3: Check whether the whole model is statistically significant. The regression analysis results appear in a session window and the four residual plots appear in another window named “Residual Plots for FINAL.”.Click “OK” in the window named “Regression.”.Click the “Storage” button, check the boxes of “Residuals” and “DFITS” and click “OK.”.Click the “Graph” button, select the radio button “Four in one” and click “OK.”.Select “FINAL” as “Response” and “EXAM1”, “EXAM2” and “EXAM3” as “Predictors.”.A new window named “Regression” pops up.Click Stat → Regression → Regression → Fit Regression Model.Step 2: Start building the multiple linear regression model X 1, X 2, and X 3 (independent variables) are the scores of exams one, two, and three respectively. Y (dependent variable) is the score of final exam. Step 1: Determine the dependent and independent variables, all should be continuous.

If so, how are they related to final exam score? Can we use the scores in exam one, two, and three to predict the score in final exam? Data File: “Multiple Regression Analysis” tab in “Sample Data.xlsx.” Use Minitab to Run a Multiple Linear RegressionĬase study: We want to see whether the scores in exam one, two, and three have any statistically significant relationship with the score in final exam.

They reflect the contribution of each independent variable in predicting the dependent variable. β is the intercept indicating the Y value when all the predictors are zeros.There are p predictors in total.īoth dependent and independent variables are continuous. X p are the independent variables (predictors). Multiple linear regression has two or more predictors.Simple linear regression only has one predictor.The difference between simple linear regression and multiple linear regression: Multiple linear regression is a statistical technique to model the relationship between one dependent variable and two or more independent variables by fitting the data set into a linear equation.
