A developer of summer cottage properties is considering purchasing a large tract of land adjoining a lake. The property is divide into separate lots and the developer wants to forecast the value of each lot. She knows from past experience that the most important factors affecting the price of a lot are size, number of mature trees, and distance to the lake. She gather information about 60 recently sold lots in the area and wants to build a regression model to make the required forecasts. Help her. (a) Is the model over all useful? (that is, can you reject the hypothesis that none of the variables is linearly related to cottage price? (b) Which variable is linearly related to price?