STEP-BY-STEP TECHNOLOGY GUIDE: Regression Analysis

Data from Example 5 (page 723) are used to illustrate the steps.

TI-83/84

  • Step 1 Enter the X (Time) data in L1 and the Y (Score) data in L2.
  • Step 2 Press STAT, highlight CALC, and press 4 to choose LinReg(ax+b). On the home screen, the following command appears: LinReg(ax+b).
  • Step 3 Press ENTER. The output shows . The TI-83/84 denotes the slope β1 as a and the y intercept b0 as b. Thus, the TI-83/84 is telling you that the estimated regression equation is .
  • Step 4 Now Press STAT again and highlight TESTS.
  • Step 5 Press the down arrow key until LinRegTTest is highlighted.
  • Step 6 Press ENTER. The LinRegTTest menu appears.
  • Step 7 For Xlist, enter L1 (or whichever list you entered the X data in).
  • Step 8 For Ylist, enter L2 (or whichever list you entered the Y data in).
  • Step 9 For Freq, enter 1, and for β & p highlight “≠ O” and press ENTER.
  • Step 10 Move the cursor over Calculate, make sure all your entries are correct, and press ENTER. The results are as shown in Figure 10 (page 724).

EXCEL

  • Step 1 Enter the “Time” variable in column A and the “Score” variable in column B.
  • Step 2 Click on Data > Data Analysis > Regression and click OK.
  • Step 3 For Input Y Range, select cells B1–B10. For Input X Range, select cells A1–A10. Make sure Labels is unchecked.
  • Step 4 If you want to verify the regression assumptions, then select Residual Plots and Normal Probability Plots.
  • Step 5 Click OK. The results are as shown in Figure 11 (page 725).

MINITAB

  • Step 1 Enter the “Time” variable in C1 and the “Score” variable in C2.
  • Step 2 Click on Stat > Regression > Regression > Fit Regression Model.
  • Step 3 Move “Score” to the Responses box, and “Time” to the Continuous predictors box.
  • Step 4 If you want to verify the regression assumptions, click the button labeled Graphs… and select Four in One.
  • Step 5 Click OK twice. The results are as shown in Figure 12 (page 725).

SPSS

  • Step 1 Input the time and score data into the first two columns. Under the Variable View tab, rename the columns Time and Score.
  • Step 2 Select Analyze > Regression > Linear….
  • Step 3 Choose Score as the Dependent variable and Time as the Independent variable.
  • Step 4 If you want to verify the regression assumptions, click Plots… and select Normal probability plot. Click Continue.
  • Step 5 Click OK.

731

JMP

  • Step 1 Click File > New > Data Table. Input the time and score data into the first two columns. Rename the columns Time and Score.
  • Step 2 Select Analyze > Fit Y by X. Choose Score as the Y, Response and Time as the X, Factor. Click OK.
  • Step 3 Click the red triangle beside “Bivariate Fit of Score by Time,” and select Fit Line. The desired output is in the Parameter Estimates table.
  • Step 4 If you want to verify the regression assumptions, click the red triangle beside Linear Fit, and select Plot Residuals.

CRUNCHIT!

  • Step 1 Input the time and score data into the first two columns.
  • Step 2 Select Statistics > Regression > Simple Linear. Choose Var2 as the Dependent Variable and Var1 as the Independent Variable.
  • Step 3
    1. If you want to verify the regression assumptions, select Residuals Plot as the Display and click Calculate.
    2. To observe the test statistics and p-values, select Numeric Results as the Display and click Calculate. Results are shown in Figure 13 of Example 5.