In the dataset "duke_forest_for_homework.xlsx", we have the following seven columns/variables for a dataset gathered from Zillow in November of 2020 for listed homes in the Duke Forest neighborhood of Durham, North Carolina:

Column name	Description
Price ($1000s)	Price of the house (in $1000s)
Bath	Number of bathrooms
Area	Area of the house (in square feet)
Lot	House lot size (in acres)
Central_cooling	1 if the house has central cooling and 0 if not
Bed	Number of bedrooms
Heat_pump	1 if the house has a heat pump and 0 if not

1. What is the equation for predicting price according to this new regression?
2. Between the regression in problem 2 and this new regression in problem 3, which do you prefer, and why? (Hint: There are two main reasons why one is better)