A Realtor Is Trying to Predict the Selling Price of Houses

Multiple Choice

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. $$\begin{array} { l c r c c } \hline \text { Source of variation } & \text { SS } & d f & \text { MS } & F \\\hline \text { Regression } & 3177.17 & 2 & 1588.584 & \\\text { Residual } & & 17 & 17.71713 & \\\text { Total } & 3478.36 & 19 & & \\\hline\end{array}$$ Which of the following conclusions can be made based on the F-test?

A) The p-value on the F-test will be very high.
B) At least one of the predictors is useful in explaining Y.
C) The model is of no use in predicting selling prices of houses.
D) The estimates were based on a sample of 19 houses.