Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_eur-inferential_statistics-101-en_eur-inferential_statistics-101-en
    nameeur-inferential_statistics-101-en
    sectionInferential Statistics/Regression/Equation, Inferential Statistics/Regression/Dummies
    typestring
    solution""
    TypeConceptual
    Program
    LanguageEnglish
    LevelStatistical Literacy

    Question

    A researcher investigates the criterion validity of an instrument that measures test anxiety and that is used to predict the level of experienced stress during an exam. The table below shows the SPSS output of the regression analysis the researcher performed (n=52, 49% woman), where she predicted stress during an exam based on predictors gender and test anxiety. Note that in the variable gender men were coded 0 and women were coded 1.

    Write down the regression equation for men and women separately.


    Solution

    The general formulation of the regression line is: stress = b0+b1×gender+b2×testanxietyb_0 + b_1 \times gender + b_2 \times testanxiety

    For men, the equation becomes: stress = 3.601+2.253×0+.480×testanxiety=3.601+.480×testanxiety3.601 + 2.253 \times 0 + .480 \times testanxiety = 3.601 + .480 \times testanxiety

    For women, the equation becomes: stress = 3.601+2.253×1+.480×testanxiety=5.854+.480×testanxiety3.601 + 2.253 \times 1 + .480 \times testanxiety = 5.854 + .480 \times testanxiety