A trucking company considered a multiple regression model for relating the depen

Question

A trucking company considered a multiple regression model for relating the dependent variable y = total daily travel time for one of its drivers (hours) to the predictors x1 = distance traveled (miles) and x2 = thenumber of deliveries made. Suppose that the model equation is

Y = ?0.800 + 0.060x1 + 0.900x2 + ?

(a) What is the mean value of travel time when distance traveled is 40 miles and two deliveries are made?
hr



(b) If ? = 0.5 hour, what is the probability that travel time will be at most 4 hours when two deliveries are made and the distance traveled is 40 miles? (Round your answer to four decimal places.)

Explanation / Answer

a)

mean value of travel time =-0.8+0.060*40+0.900*2=3.4

b)( please confirm if std deviation is 0.5 ; symbol is hidden in ? sign)

here P( travel time will be at most 4 hours)=P(X<4)=P(Z<(4-3.4)/0.5)=P(Z<1.2)=0.8849

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