1. © Copyright 2000, Julia Hartman 1 An Interactive Tutorial for SPSS 10.0 for Windows © by Julia Hartman Multiple Linear Regression Next

2. © Copyright 2000, Julia Hartman 2 Multiple Linear Regression: Introduction Next Regression Analysis is the …estimation of the linear relationship between a dependent variable and one or more independent variables or covariates. (from SPSS Help)

3. © Copyright 2000, Julia Hartman 3 Multiple Linear Regression: Introduction This tutorial will use multiple regression to determine if the year of matriculation, total cumulative undergraduate GPAs, and MCAT scores can be used to predict how medical students will score on the US Medical Licensing Exam (Part 2). Next

4. © Copyright 2000, Julia Hartman 4 Multiple Linear Regression: Introduction Independent variables  matyr: Matriculation year  totcum: Undergraduate GPA (Total Cumulative)  nmtot1: MCAT Total 1992-present, most recent Dependent variable  usmle2: USMLE Step 2 Next

5. © Copyright 2000, Julia Hartman 5 Multiple Linear Regression: Starting the Procedure In the menu, click Analyze

6. © Copyright 2000, Julia Hartman 6 Multiple Linear Regression: Starting the Procedure In the menu, click on Analyze Point to Regression

7. © Copyright 2000, Julia Hartman 7 Multiple Linear Regression: Starting the Procedure In the menu, click on Analyze Point to Regression Point to Linear…

8. © Copyright 2000, Julia Hartman 8 Multiple Linear Regression: Starting the Procedure In the menu, click on Analyze … and click. Point to Regression Point to Linear…

9. © Copyright 2000, Julia Hartman 9 Multiple Linear Regression: Selecting Variables Choose the variables for analysis from the list in the variable box. Move MATRICULATON DATE - YEAR, which is already highlighted, to the box labeled Independent(s) by clicking the arrow.

10. © Copyright 2000, Julia Hartman 10 Multiple Linear Regression: Selecting Variables Scroll down the variable list,

11. © Copyright 2000, Julia Hartman 11 Multiple Linear Regression: Selecting Variables Scroll down the variable list, point to the variable labeled UNDERGRAD GPA TOTAL - CUMULATIVE

12. © Copyright 2000, Julia Hartman 12 Multiple Linear Regression: Selecting Variables …and click. Scroll down the variable list, point to the variable labeled UNDERGRAD GPA TOTAL – CUMULATIVE

13. © Copyright 2000, Julia Hartman 13 Multiple Linear Regression: Selecting Variables Move totcum to the Independent(s) box by clicking the arrow.

14. © Copyright 2000, Julia Hartman 14 Multiple Linear Regression: Selecting Variables A few variables down the list, point to nmtot1, which is labeled MCAT TOTAL 1992- PRESENT, MOST RECENT

15. © Copyright 2000, Julia Hartman 15 Multiple Linear Regression: Selecting Variables …and click. A few variables down the list, point to nmtot1, which is labeled MCAT TOTAL 1992- PRESENT, MOST RECENT

16. © Copyright 2000, Julia Hartman 16 Multiple Linear Regression: Selecting Variables Move nmtot1 to the box labeled Independent(s) by clicking the arrow.

17. © Copyright 2000, Julia Hartman 17 Multiple Linear Regression: Selecting Variables Scroll further down the list and point to the variable usmle2, which is labeled USMLE STEP 2,

18. © Copyright 2000, Julia Hartman 18 Multiple Linear Regression: Selecting Variables …and click. Scroll further down the list and point to the variable usmle2, which is labeled USMLE STEP 2 TOTAL,

19. © Copyright 2000, Julia Hartman 19 Multiple Linear Regression: Selecting Variables Move usmle2 to the box labeled Dependent by clicking the arrow.

20. © Copyright 2000, Julia Hartman 20 Multiple Linear Regression: Requesting Statistics Request descriptive statistics by clicking the button labeled Statistics…

21. © Copyright 2000, Julia Hartman 21 Multiple Linear Regression: Statistics In SPSS, you can display information by right-clicking, but right-clicking doesn’t work in this tutorial. To see what right- clicking would show, left-click the box for Part and partial correlations.

22. © Copyright 2000, Julia Hartman 22 Multiple Linear Regression: Statistics For this tutorial, click the checkbox for Part and partial correlations.

23. © Copyright 2000, Julia Hartman 23 Multiple Linear Regression: Statistics Statistics for the Model fit and Estimates for Regression Coefficients will be produced by default. Click the checkbox for Descriptives.

24. © Copyright 2000, Julia Hartman 24 Multiple Linear Regression: Statistics This tutorial requests no additional statistics, so click the Continue button.

25. © Copyright 2000, Julia Hartman 25 Multiple Linear Regression: Requesting Plots You can also request several different plots. Click the Plots… button.

26. © Copyright 2000, Julia Hartman 26 In the box labeled Standardized Residual Plots, first click the checkbox for Histogram, Multiple Linear Regression: Standardized Residual Plots

27. © Copyright 2000, Julia Hartman 27 then click the box for Normal probability plot. In the box labeled Standardized Residual Plots, first click the checkbox for Histogram, Multiple Linear Regression: Standardized Residual Plots

28. © Copyright 2000, Julia Hartman 28 This tutorial requests none of the other plots available in the Linear Regression procedure. Click the Continue button. Multiple Linear Regression: Standardized Residual Plots

29. © Copyright 2000, Julia Hartman 29 The independent variables can be entered into the analysis using five different methods. This tutorial includes the Enter and Stepwise methods. Choose one of the following: Multiple Linear Regression: Method of Variable Entry Enter Stepwise

30. © Copyright 2000, Julia Hartman 30 The independent variables can be entered into the analysis using five different methods. This tutorial includes the Enter and Stepwise methods. Choose one of the following: Multiple Linear Regression: Enter Method Enter Stepwise

31. © Copyright 2000, Julia Hartman 31 Enter is the default method of variable entry. Click the OK button to run the Multiple Linear Regression procedure. Multiple Linear Regression: Enter Method

32. © Copyright 2000, Julia Hartman 32 The independent variables can be entered into the analysis using five different methods. This tutorial includes the Enter and Stepwise methods. Choose one of the following: Multiple Linear Regression: Stepwise Method Enter Stepwise

33. © Copyright 2000, Julia Hartman 33 To select the stepwise method of variable entry, click the drop-down arrow for Method (next to Enter, which is the default method). Multiple Linear Regression: Stepwise Method

34. © Copyright 2000, Julia Hartman 34 Point to Stepwise Multiple Linear Regression: Stepwise Method

35. © Copyright 2000, Julia Hartman 35 Multiple Linear Regression: Stepwise Method Point to Stepwise and click.

36. © Copyright 2000, Julia Hartman 36 Multiple Linear Regression: Stepwise Method Click the OK button to run the Multiple Linear Regression procedure.

37. © Copyright 2000, Julia Hartman 37 Multiple Linear Regression Output: Descriptive Statistics The labels and format of your output may be somewhat different. Next

38. © Copyright 2000, Julia Hartman 38 Multiple Linear Regression Output: Correlations Next

39. © Copyright 2000, Julia Hartman 39 Multiple Linear Regression Enter Method Output: Variables Entered Next

40. © Copyright 2000, Julia Hartman 40 Multiple Linear Regression Enter Method Output: Model Summary Next

41. © Copyright 2000, Julia Hartman 41 Multiple Linear Regression Enter Method Output: ANOVA Next

42. © Copyright 2000, Julia Hartman 42 Multiple Linear Regression Enter Method Output: Coefficients and Correlations Next

43. © Copyright 2000, Julia Hartman 43 Multiple Linear Regression Enter Method Output: Residuals Statistics Next

44. © Copyright 2000, Julia Hartman 44 Multiple Linear Regression Enter Method Output: Residuals Histogram Next

45. © Copyright 2000, Julia Hartman 45 Multiple Linear Regression Enter Method Output: Plot of Standardized Residuals Next

46. © Copyright 2000, Julia Hartman 46 Multiple Linear Regression Output: Descriptive Statistics The labels and format of your output may be somewhat different. Next

47. © Copyright 2000, Julia Hartman 47 Multiple Linear Regression Output: Correlations Next

48. © Copyright 2000, Julia Hartman 48 Multiple Linear Regression Stepwise Method Output: Variables Entered Next

49. © Copyright 2000, Julia Hartman 49 Multiple Linear Regression Stepwise Method Output: Model Summary Next

50. © Copyright 2000, Julia Hartman 50 Multiple Linear Regression Stepwise Method Output: ANOVA Next

51. © Copyright 2000, Julia Hartman 51 Multiple Linear Regression Stepwise Method Output: Coefficients and Correlations Next

52. © Copyright 2000, Julia Hartman 52 Multiple Linear Regression Stepwise Method Output: Excluded Variables Next

53. © Copyright 2000, Julia Hartman 53 Multiple Linear Regression Stepwise Method Output: Residuals Statistics Next

54. © Copyright 2000, Julia Hartman 54 Multiple Linear Regression Stepwise Method Output: Residuals Histogram Next

55. © Copyright 2000, Julia Hartman 55 Multiple Linear Regression Stepwise Method Output: Plot of Standardized Residuals Next

56. © Copyright 2000, Julia Hartman 56 An Interactive Tutorial for SPSS 10.0 for Windows © : Multiple Linear Regression Repeat this tutorial Click one of the following: Return to the choice of methods of variable entry Return to the list of tutorials