3. In a simple linear regression model, SST> 800, SSRz 543, SSE-257. The coeffic

Question

3. In a simple linear regression model, SST> 800, SSRz 543, SSE-257. The coefficient of determination (i.e. R-square) is: A. 0.32 B. 0.47 C.0.53 0.68 4. Which of the following statements is false? A. Regression models with higher F-statistics do a better job of "explaining" the dependent variable. B. The coefficient of determination can be interpreted as the proportion of the variability in the dependent variable that is explained by the independent variables. C. The least squares estimation method is designed to minimize the sum of squared distances between the true y values and predicted y values. D. Regression analysis establishes that a cause-effect relationship exists between the dependent variable and each of the independent variables. 5. Which of the following statements is true? A. The coefficient of determination could be greater than one. he adjusted coefficient of determination is always higher than or equal to the coefficient of determination. C. The adjusted coefficient of determination could be negative. D. The coefficient of determination could be negative.

Explanation / Answer

The coeficient of determination is the SSR/SST which is 543/800=0.678. thus option D is correct

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