A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars) as a function of Size (measured in thousands of square feet) and whether or not there is a fireplace (FP is 0 if there is no fireplace, 1 if there is a fireplace). The regression output is provided below. Some of the information has been omitted. $$\begin{array} { l c c c c }
\hline \text { Source of variation } & \text { SS } & d f & M S & F \
\hline \text { Regression } & 3177.17 & 2 & 1588.6 & \
\text { Residual } & & 17 & 17.717 & \
\text { Total } & 3478.36 & 19 & & \
\hline
\end{array}$$ How many predictors (independent variables) were used in the regression?
A)20
B)18
C)3
D)2

Question

A realtor is trying to predict the selling price of houses in Greenville (in thousands of dollars) as a function of Size (measured in thousands of square feet) and whether or not there is a fireplace (FP is 0 if there is no fireplace, 1 if there is a fireplace). The regression output is provided below. Some of the information has been omitted. $$\begin{array} { l c c c c } 
\hline \text { Source of variation } & \text { SS } & d f & M S & F \
\hline \text { Regression } & 3177.17 & 2 & 1588.6 & \
\text { Residual } & & 17 & 17.717 & \
\text { Total } & 3478.36 & 19 & & \
\hline
\end{array}$$ How many predictors (independent variables) were used in the regression?
A)20
B)18
C)3
D)2

Quizplus · Accepted Answer

The number of predictors (independent variables) used in the regression is the number of variables being considered as potential predictors of the dependent variable. In this case, there are two predictors: Size and FP (the fireplace indicator). This is because the regression output shows two degrees of freedom for the regression, which corresponds to the number of predictors. Therefore, the answer is (D).

A Realtor Is Trying to Predict the Selling Price of Houses