Statistics for the Behavioral Sciences, Loose-leaf Version
10th Edition
ISBN: 9781305862807
Author: GRAVETTER
Publisher: CENGAGE L
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Textbook Question
Chapter 16, Problem 20P
A researcher obtained the following multiple regression equation using two predictor variables:
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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 x, = distance traveled (miles) and x, = the number of
deliveries made. Suppose that the model equation is
Y = -0.800 + 0.060x, + 0.900x2 + €
(a) What is the mean value of travel time when distance traveled is 50
miles and four deliveries are made?
5.8
v hr
(b) How would you interpret ß1
= 0.060, the coefficient of the predictor
X1?
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 total daily travel time increases by 0.060 hours when the
distance traveled increases by 1.
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 average change in travel time associated with a…
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.…
Dr.Luo did a study about the relationship between political attitudes for husbands and wives for a sample of N = 8 married couples. The wives had a mean score of M = 7 with SS = 172, the husbands had a mean score of M = 9 with SS = 106, and SP = 122. i. Find the regression equation to predict husbands’ political attitude from the wives’ score ii. what percentage of variance in the husbands’ political attitudes is explained by their wives' scores? iii. Can Dr. Luo use the regression equation to make a prediction of a new husband’s political attitude based on his wife's attitude score? Make a conclusion based on the summary table of analysis of regression.
Chapter 16 Solutions
Statistics for the Behavioral Sciences, Loose-leaf Version
Ch. 16 - Sketch a graph showing the line for the equation...Ch. 16 - The regression equation is intended to be the...Ch. 16 - A set of n=18 pairs of scores (X and Y values) has...Ch. 16 - A set of n=15 pairs of scores (X and Y values)...Ch. 16 - Briefly explain what is measured by the standard...Ch. 16 - In general, how is the magnitude of the standard...Ch. 16 - For the following set of data, find the linear...Ch. 16 - For the following data: a. Find the regression...Ch. 16 - Does the regression equation from problem 8...Ch. 16 - For the following scores, X Y 3 8 5 8 2 6 2 3 4 6...
Ch. 16 - Ii. Problem 13 in Chapter 15 examined the...Ch. 16 - A professor obtains SAT scores and freshman grade...Ch. 16 - Problem 14 in Chapter 15 described a study...Ch. 16 - 14. There appears to be some evidence suggesting...Ch. 16 - The regression equation is computed for a set of n...Ch. 16 - 16. a. One set of 10 pairs of scores, X and Y...Ch. 16 - 17. a.A researcher computes the linear regression...Ch. 16 - For the following data: Find the regression...Ch. 16 - A multiple-regression equation with. two predictor...Ch. 16 - A researcher obtained the following multiple...Ch. 16 - 21. Problem 18 in Chapter 15 (p. 526) presented...Ch. 16 - For the data in problem 21, the correlation...Ch. 16 - For the following data, find the...Ch. 16 - A researcher evaluates the significance of a...
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