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10 August, 08:16

regression model involving 4 independent variables and a sample of 15 observations resulted in the following sum of squares. SSR = 165 SSE = 60 The multiple coefficient of determination is a ...5. b ...7333. c ...275. d ...3636.

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  1. 10 August, 08:23
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    The multiple coefficient of determination is b ...7333

    Step-by-step explanation:

    The coefficient of determination, denoted as R², is defined as follows:

    R² = SSR / SST

    where

    SSR is the regression sum of squares SST is the total sum of squares

    Since we are given SSR and SSE, we can calculate SST by using the equation

    SSE = SST - SSR

    where

    SSE is the Error in the sum of squares

    Thus,

    SST = SSE + SSR

    = 60 + 165

    = 225

    Therefore,

    R² = SSR / SST

    R² = 165 / 225

    R² = 0.7333

    Therefore, the multiple coefficient of determination is 0.7333
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