Consider the following sample data:

y54 60 23 56 31 63 55 53

x₁56 42 23 57 34 67 47 36

x₂ 26 16 17 24 15 13 29 13

a-1. Estimate a multiple linear regression model. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

y-hat =  +   x₁ +  x₂    

a-2. Interpret its coefficients x₁.   As x₁ increases by one unit, y is predicted to decrease by 14.65 units, holding x₂ constant.As x₁ increases by one unit, y is predicted to increase by 14.65 units, holding x₂ constant.As x₁ increases by one unit, y is predicted to increase by 0.81 units, holding x₂ constant.As x₁ increases by one unit, y is predicted to decrease by 0.81 units, holding x₂ constant.

a-3. Interpret its coefficients x₂.   As x₂ increases by one unit, y is predicted to increase by 0.11 units, holding x₁ constant.As x₂ increases by one unit, y is predicted to increase by 14.65 units, holding x₁ constant.As x₂ increases by one unit, y is predicted to decrease by 0.11 units, holding x₁ constant.As x₂ increases by one unit, y is predicted to decrease by 14.65 units, holding x₁ constant.

b. Find the predicted value for y if x₁ equals 30 and x₂ equals 10. (Round the intermediate calculations and final answer to 2 decimal places.)

y-hat