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 the number of deliveries made. Suppose that the model equation is Y-0.800+ 0.060x₂ + 0.900x₂ + (a) What is the mean value of travel time when distance traveled is SO miles and four deliveries are made? (b) How would you interpret , 0.060, the coefficient of the predictor x? O When the number of deliveries is constant, the average change in travel time associated with a ten-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The total daily travel time increases by 0.060 hours when the distance traveled increases by 1. O When the number of deliveries is held fixed, the average change in travel time associated with a one-mile (i.e. one unit) increase O The average change in travel time associated with a one-mile (i.e. one unit) increase in distance traveled is 0.060 hours. What is the interpretation of ₂-0.900? O The total daily travel time increases by 0.900 hours with one extra delivery. O When the distance traveled is held fixed, the average change in travel time associated with one extra delivery is 0.900 hours. O When the distance traveled is constant, the change in travel time associated with one delivery is 0.900 hours. O The average change in travel time associated with one extra delivery is 0.900 hours. distance traveled is 0.060 hours. (c) Ifa - 0.5 hour, what is the probability that travel time will be at most 6 hours when four deliveries are made and the distance traveled is 50 miles? (Round your answer to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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 = the number of deliveries made. Suppose that the model equation is
Y = -0.800+ 0.060x₁ +0.900x₂ + e
(a) What is the mean value of travel time when distance traveled is 50 miles and four deliveries are made?
hr
(b) How would you interpret ₁ = 0.060, the coefficient of the predictor x₁?
O When the number of deliveries is constant, the average change in travel time associated with a ten-mile (i.e. one unit) increase in distance traveled is 0.060 hours.
O The total daily travel time increases by 0.060 hours when the distance traveled increases by 1.
O When the number of deliveries is held fixed, the average change in travel time associated with a one-mile (i.e. one unit) increase in distance traveled is 0.060 hours.
O The average change in travel time associated with a one-mile (i.e. one unit) increase
distance traveled is 0.060 hours.
What is the interpretation of ₂ = 0.900?
O The total daily travel time increases by 0.900 hours with one extra delivery.
O When the distance traveled is held fixed, the average change in travel time associated with one extra delivery is 0.900 hours.
O When the distance traveled is constant, the change in travel time associated with one delivery is 0.900 hours.
O The average change in travel time associated with one extra delivery is 0.900 hours.
(c) If = 0.5 hour, what is the probability that travel time will be at most 6 hours when four deliveries are made and the distance traveled is 50 miles? (Round your answer to four decimal places.)
Transcribed Image Text: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 = the number of deliveries made. Suppose that the model equation is Y = -0.800+ 0.060x₁ +0.900x₂ + e (a) What is the mean value of travel time when distance traveled is 50 miles and four deliveries are made? hr (b) How would you interpret ₁ = 0.060, the coefficient of the predictor x₁? O When the number of deliveries is constant, the average change in travel time associated with a ten-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The total daily travel time increases by 0.060 hours when the distance traveled increases by 1. O When the number of deliveries is held fixed, the average change in travel time associated with a one-mile (i.e. one unit) increase in distance traveled is 0.060 hours. O The average change in travel time associated with a one-mile (i.e. one unit) increase distance traveled is 0.060 hours. What is the interpretation of ₂ = 0.900? O The total daily travel time increases by 0.900 hours with one extra delivery. O When the distance traveled is held fixed, the average change in travel time associated with one extra delivery is 0.900 hours. O When the distance traveled is constant, the change in travel time associated with one delivery is 0.900 hours. O The average change in travel time associated with one extra delivery is 0.900 hours. (c) If = 0.5 hour, what is the probability that travel time will be at most 6 hours when four deliveries are made and the distance traveled is 50 miles? (Round your answer to four decimal places.)
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