Reference no: EM131918952
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