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.

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