3. Data were collected from a random sample of 310 home sales from a community in 2003. Let Price denote the selling price (in $1,000), BDR denote the number of bedrooms, Bath denote the number of bathrooms, Hsize denote the size of the house (in square feet), Lsize denote the lot size (in square feet), Age denote the age of the house (in years), and Poor denote a binary variable that is equal to 1 if the condition of the house is reported as "poor." Price=109.7+0.446BDR+21.5Bath+0.144H size +0.003Lsize+0.083Age-44.9Poor R = .66,SER = 38.2 (standard errors have been omitted for simplicity but generally they have to be reported) (a) Suppose that a homeowner converts part of an existing family room in her house into a new bathroom. What is the expected increase in the value of the house? Explain and show all your work. (b) Suppose that a homeowner adds a new bathroom to her house, which increases the size of the house by 92 square feet. What is the expected increase in the value of the house? (c) By how much does the price change if a homeowner lets his house run down so that its condition becomes "poor"?