Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_vufgb-equation-007-en_vufgb-equation-007-en
    namevufgb-equation-007-en
    sectionInferential Statistics/Regression/Equation
    typeschoice
    solutionTRUE, FALSE, FALSE, FALSE
    TypeCalculation
    Program
    LanguageEnglish
    LevelStatistical Literacy

    Question

    Given is the following estimated regression equation: ŷ=25+0.8x1−3.5x2+1.2x1x2\hat{y} = 25+0.8x_{1}-3.5x_{2}+1.2x_{1}x_{2}.

    What would the regression equation be if x1=10x_{1} = 10?


    1. TRUE: ŷ=33+8.5x2\hat{y} = 33+8.5x_{2}
    2. FALSE: ŷ=45−3.5x2\hat{y} = 45-3.5x_{2}
    3. FALSE: ŷ=25+20x1−3.5x2\hat{y} = 25+20x_{1}-3.5x_{2}
    4. FALSE: ŷ=25.8−2.3x2\hat{y} = 25.8-2.3x_{2}

    Solution

    Fill in x1=10x_{1} = 10 in the equation and work this out: ŷ=25+0.8×10−3.5x2+1.2×10×x2=25+8−3.5x2+12×x2=33+8.5×x2\hat{y} = 25+0.8 \times 10-3.5x_{2}+1.2 \times 10 \times x_{2} = 25+8-3.5x_{2}+12 \times x_{2} = 33+8.5 \times x_{2}.


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