Problem 2 The following regression explores the relationship between House price and the number of bathrooms and rooms in the house. The variable definitions are as follows: 1. Price: House Price in $ 2. Bathrooms_1: True if the number of bathrooms is greater than 1, and False if the number of bathrooms is at most 1. 3. Rooms_7: True if the number of rooms is greater than 7, and False if the number of rooms is at most 7. Response variable : Price Explanatory variables: Bathrooms_1, Rooms_7 Null hyp. : the effect of x on Price is zero Alt. hyp. : the effect of x on Price is not zero coefficient std. error t. value p. value (Intercept) 143722.222 1440.232 99.791