Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_vufsw-multiple_linear_regression-1237-en_vufsw-multiple_linear_regression-1237-en
    namevufsw-multiple linear regression-1237-en
    sectioninferential statistics/regression/multiple linear regression
    typeschoice
    solutionFALSE, TRUE, FALSE, FALSE
    Typeperforming analysis
    Programcalculator
    LanguageEnglish
    Levelstatistical literacy

    Question

    A researcher wants to investigate to what extent age (X1) and gender (X2) can predict how many hours someone spends each day on social media. The regression analysis based on a sample of 160 respondents gives the following (fictitious) results:

    Predictor Coef (b) SE Coef (seb) Standardized Coef (Beta) t Sig.
    Constant 3.008 .258
     
    Age (X1) -.020 .018 -.036

    Gender (X2) .289 .04 6 .205

    As you can see, the t-values and the p-values are missing. The researcher tests one-sidedly with alpha= 0.05. Which variables have a significant influence on Y?


    1. FALSE: Age (X1).
    2. TRUE: Gender (X2).
    3. FALSE: Both age (X1) and gender (X2).
    4. FALSE: Neither age (X1) nor gender (X2).

    Solution

    Gender is significant, age not. For age the t value is -1.11 (-0.02/0.018) and for gender the value is 6.28 (0.289/0.046). The critical t value with n=160 (df=159), one sided and alpha is .05 is 1.645. The test value for gender is 6.28, thus higher than the critical value, thus gender influences Y significant and age not.

    Language
    Nederlands

    Levels of Difficulty
    Medium

    M&T BIS
    Default value

    M&T Multivariate linear regression
    Default value


    1. False
    2. True
    3. False
    4. False