Lydia Bennet, a realtor in Brownsburg, Indiana, would like to use estimates from a mulitple regression model to help prospective sellers determine a reasonable asking price for their homes. She believes that the following four factors influence the asking price (Price) of a house:

square footage (SQFT)

NUmber of bedrooms (Bed)

Numbers of bathrooms (bath)

Lot Size (LTSZ)

She randomly collects online listings for 50 single-family homes.

Price	SQFT	Bed	Bath	LTSZ
399900	5.026	4	4.5	0.3
375000	3.2	4	3	5
372000	3.22	5	3	5
370000	4.927	4	4	0.3
325000	3.904	3	3	1
325000	2.644	3	2.5	5
319500	5.318	3	2.5	2.5
312900	3.144	4	2.5	0.3
299900	2.8	4	3	5
294900	3.804	4	3.5	0.2
269000	3.312	5	3	1
250000	3.373	5	3.5	0.2
249900	3.46	2	2.5	0.6
244994	3.195	4	2.5	0.2
244900	2.914	3	3	0.3
239900	2.881	4	5	0.3
234900	1.772	3	2	3.6
234000	2.248	3	2.5	0.3
229900	3.12	5	2.5	0.2
219900	2.942	4	2.5	0.2
209900	3.332	4	2.5	0.2
209850	3.407	3	2.5	0.3
206900	2.092	3	2	0.3
200000	3.859	4	2	0.2
194900	3.326	4	2.5	0.1
184900	1.874	3	2	0.5
179900	1.892	3	1.5	0.7
179500	2.5	4	2.5	0.5
165000	2.435	4	2.5	0.4
159900	2.714	3	2.5	0.2
159900	1.85	3	2.5	0.5
155000	3.068	4	3.5	0.2
154900	2.484	4	2.5	0.3
152000	1.529	4	2	0.4
149900	2.876	4	2.5	0.2
148500	2.211	4	2.5	0.1
146900	1.571	3	2	0.2
145500	1.503	4	2	0.5
144900	1.656	3	2	0.5
144900	1.521	3	2	0.6
139900	1.315	3	2	0.2
137900	1.706	3	2	0.3
132900	2.121	4	2.5	0.1
129900	1.306	3	2	0.5
129736	1.402	3	2	0.5
125000	1.325	3	2	0.3
119500	1.234	3	2	0.2
110387	1.292	3	1	0.2
106699	1.36	3	1.5	0.1
102900	1.938	3	1	0.1

Provide summary statistics. (10 points) Price SQFI' Bed Bath LTSZ Average Standard Dev. Please round ALL numerical answers to 4 decimal places. Estimate and interpret a multiple regression model where the asking price is the (5 points) response variable and the other four factors are the explanatory variables. Price = [5'0 + SQFT +32 Bed + [1'3Bath + 1841,7152 + s Discuss the coefcients of the four explanatory variables and their meaning within the context of home prices. [12 points] SQFI': Identify and interpret the resulting adjusted R2. 21