Question 6: 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 travelled (kilometres) and r2 = the number of deliveries made. Suppose that the model equation is Y = -0.950 +0.05521 +0.901x2 + € (a) 'What is the mean value of travel time when distance travelled is 80 km and four deliveries are made? (b) How would you interpret 3₁ = 0.055, the coefficient of the predictor 2₁? What is the interpretation of 32 = 0.901? (c) If o = 0.9 hour, what is the probability that travel time will exceed 5.5 hours when four deliveries are made and the distance travelled in 80 km. (d) If o = 0.9 hour, what is the probability that travel time will be between 5.5 and 6.5 hours when four deliveries are made and the distance travelled in 80 km.

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Question 6: 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 travelled (kilometres) and x2 = the number of
deliveries made. Suppose that the model equation is
Y = -0.950+ 0.055x1 +0.901x2 + €
(a)
'What is the mean value of travel time when distance travelled is 80 km and four deliveries are made?
(b)
How would you interpret 3₁ = 0.055, the coefficient of the predictor ₁? What is the interpretation of
B₂ = 0.901?
(c)
If o = 0.9 hour, what is the probability that travel time will exceed 5.5 hours when four deliveries are made
and the distance travelled in 80 km.
(d)
If o = 0.9 hour, what is the probability that travel time will be between 5.5 and 6.5 hours when four deliveries
are made and the distance travelled in 80 km.
Transcribed Image Text:Question 6: 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 travelled (kilometres) and x2 = the number of deliveries made. Suppose that the model equation is Y = -0.950+ 0.055x1 +0.901x2 + € (a) 'What is the mean value of travel time when distance travelled is 80 km and four deliveries are made? (b) How would you interpret 3₁ = 0.055, the coefficient of the predictor ₁? What is the interpretation of B₂ = 0.901? (c) If o = 0.9 hour, what is the probability that travel time will exceed 5.5 hours when four deliveries are made and the distance travelled in 80 km. (d) If o = 0.9 hour, what is the probability that travel time will be between 5.5 and 6.5 hours when four deliveries are made and the distance travelled in 80 km.
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