Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_vufgb-dummies-011-en_vufgb-dummies-011-en
    namevufgb-dummies-011-nl
    sectionInferandtial Statistics/Regression/Dummies, Inferandtial Statistics/Parametric Techniques/ANOVA/ANCOVA, Inferandtial Statistics/Regression/Equation
    typeschoice
    solutionTRUE, FALSE, FALSE, FALSE
    TypeCalculation
    Program
    LanguageDutch
    LevelStatistical Thinking

    Question

    In an ANCOVA model with interaction, the following regression equation is estimated, where x1x_{1} is the covariate and z is the Factor with two levels (dummy variable): ŷ=10+2x1+3z4x1z\hat{y} = 10+2x_{1}+3z-4x_{1}z.

    Calculate the predicted y score for a score 5 on the covariate and a score 1 on the dummy variable.


    1. TRUE: 3
    2. FALSE: 17
    3. FALSE: 19
    4. FALSE: 43

    Solution

    Enter x1=5x_{1} = 5 and z=1z = 1 gives:

    Predicted y=10+2×5+3×14×5×1=10+10+320=3y = 10+2 \times 5+3 \times 1-4 \times 5 \times 1 = 10+10+3-20 = 3.


    1. Correct
    2. Incorrect
    3. Incorrect
    4. Incorrect