The estimated regression equation for a model involving two

The estimated regression equation for a model involving two independent variable and to observation follows. y = 29.1270 + .5906X1 + .4980X2 inter pret b1 and b2 in this estimated progression equation. Estimate y when X1 = 180 and X2 = 310

Solution

a) b1: when x1 increases by 1 unit, the expected value of y-hat increases by 0.5906 units

b2: when x2 increases by 1 unit, the expected value of y-hat increases by 0.4980 units

b) estimate value: y-hat = 29.1270 + 0.5906*180 + 0.4980*310 = 289.815