Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_vufsw-simplelinearregression-0274-en_vufsw-simplelinearregression-0274-en
    namevufsw-simplelinearregression-0274-en
    sectioninferential statistics/regression/simple linear regression
    typeschoice
    solutionFALSE, FALSE, TRUE, FALSE
    Typeconceptual
    ProgramNA
    LanguageEnglish
    Levelstatistical literacy

    Question

    Which theorem(s) is/are correct about the regression equation Y = b0 + b1X?

    I. Y actually represents the predicted value by the regression.
    II. b0 is the mean value of Y when X equals 0


    1. FALSE: Theorem I. is correct and theorem II. is not correct
    2. FALSE: Theorem I. is not correct and Theorem II. is correct
    3. TRUE: Both statements are correct
    4. FALSE: Both statements are not correct

    Solution

    Theorem I is correct because the regression equation predicts values of Y predicted by means of the regression line a + b1X.
    Theorem II is also correct because if you replace X with 0 then the equation Y=b0. This means that the pre-measured value of Y (or alternatively, the average Y) is equal to the constant.


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