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Please answer as soon as possible!!! thanks :) Consider the following sample dat

ID: 3332214 • Letter: P

Question

Please answer as soon as possible!!! thanks :)

Consider the following sample data:

Consider the following sample data: y 4252 29 50 26 61 55 56 X1 4241 31 58 34 66 50 49 X2 17 17 28 3 24 2413 15 a-1. Estimate a multiple linear regression model. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) hat - X1 t X2 a-2. Interpret its coefficients x1. As x1 increases by one unit, y is predicted to increase by 0.79 units, holding x2 constant O As x1 increases by one unit, y is predicted to decrease by 22.81 units, holding x2 constant As x1 increases by one unit, y is predicted to increase by 22.81 units, holding x2 constant As x1 increases by one unit, y is predicted to decrease by 0.79 units, holding x2 constant a-3. Interpret its coefficients x2 As x2 increases by one unit, y is predicted to increase by 0.68 units, holding x1 constant As x2 increases by one unit, y is predicted to decrease by 0.68 units, holding x1 constant OAs x2 increases by one unit, y is predicted to decrease by 22.81 units, holding x1 constant O As x2 increases by one unit, y is predicted to increase by 22.81 units, holding x1 constant b. Find the predicted value for y if x1 equals 40 and x2 equals 20. (Round the intermediate calculations and final answer to 2 decimal places.) y a

Explanation / Answer

a) y-hat = 22.81+0.79x1-0.68x2

a2) Option A is Correct

a3) Option B is Correct

a4) y = 22.81+0.79*40-0.68*20

y-hat = 40.81

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 22.8139 17.94645 1.271221 0.259576 -23.3189 68.94671 X Variable 1 0.785431 0.248531 3.160297 0.025087 0.146562 1.4243 X Variable 2 -0.6815 0.515975 -1.3208 0.243789 -2.00785 0.644858