In the estimation of a multiple regression model with four explanatory variables and 25 observations, and .What is the value of R²? A)0.16 B)0.34 C)0.66 D)0.84

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Quizplus · Accepted Answer

R² is the adjusted R-squared value. It measures the proportion of the variation in the dependent variable that is explained by the independent variables in the model, adjusted for the number of variables and observations. The adjusted R-squared value can range from 0 to 1, and a higher value indicates a better fit of the model to the data. In general, a value above 0.7 is considered a good fit, and values below 0.3 suggest that the model does not explain much of the variation in the dependent variable. Without additional information or calculations, it is impossible to determine the exact value of R². However, we can make an educated guess based on the number of variables and observations in the model. With four explanatory variables and 25 observations, the adjusted R-squared value is likely to be in the range of 0.3 to 0.7. Option B (0.34) falls within this range and is therefore the best choice.

In the Estimation of a Multiple Regression Model with Four