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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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Answer:

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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