Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_vufgb-equation-026-en_vufgb-equation-026-en
    namevufgb-equation-026-en
    sectionInferential Statistics/Regression/Equation
    typeschoice
    solutionTRUE, FALSE, FALSE, FALSE
    TypeCalculation
    Program
    LanguageEnglish
    LevelStatistical Thinking

    Question

    A researcher fits a linear regression model incorporating a quadratic effect, and finds ŷ=8.67+3.44x2.93x2\hat{y} = 8.67+3.44x-2.93x^{2}.

    At what x value is the maximum?


    1. TRUE: x=0.59x = 0.59
    2. FALSE: x=0.59x = -0.59
    3. FALSE: x=1.17x = 1.17
    4. FALSE: x=1.17x = -1.17

    Solution

    Use formula x=b12b2=3.442×2.93=0.59x = \frac{-b_{1}}{2b_{2}} = \frac{-3.44}{2 \times -2.93} = 0.59.


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