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With arctic cold temperatures increasing the heating costs to homes in the area, a family is considering purchasing a new heating and air conditioning system and want to use a multiple regression model in considering their next ventilation system. The family considers three variables to predict their future utility bills in dollars (Y):
X1: Fuel Type (gas, electric, solar, wood, etc.)X2: Efficiency of unit (85%, 90%, etc.)X3: Usage amount
1. What would the family expect the relationship to be between each X predictor and the Y variable?
2. Please make a directional prediction (positive or negative) for each of the X predictors and provide a rationale for each.
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