EBK AN INTRODUCTION TO MATHEMATICAL STA
6th Edition
ISBN: 9780134114248
Author: Marx
Publisher: YUZU
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Chapter 11.2, Problem 3Q
To determine
To calculate: The residuals
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An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon.
Car
A
B
C
D
E
Weight (pounds), x
2590
3035
3435
3650
4170
Miles per Gallon, y
25.7
19.4
19.5
16
13.4
1 ) Predict the miles per gallon of car B and compute the residual. Is the miles per gallon of this car above average or below average for cars of this weight?
The predicted value is ______ miles per gallon.
(Round to two decimal places as needed.)
2) The residual is negative ______ miles per gallon.
(Round to two decimal places as needed.)
A statistics professor wanted to know if there was a relationship between the midterm exam grade and the final exam grade of students. Data was obtained for 10 students:
Student
Midterm exam grade
Final exam grade
1
65
74
2
68
73
3
71
71
4
75
80
5
75
83
6
85
85
7
88
90
8
95
94
9
97
99
10
100
98
D. Calculate the residual for x = 95. Use equation to 3 decimal places. Report answer to 3 decimal places.
The following table shows data for the cost of natural gas in Maryland (in dollars per Million Btu) for x years since 1990.
Year
x
Price in $ per Million Btu
1990
6.31
1991
6.14
1992
6.32
1993
6.75
1994
6.8
1995
6.34
1996
7.46
1997
8.12
1998
8.04
1999
8.25
2000
9.58
2001
11.28
2002
9.25
a. Predict the price in dollars per million Btu for the year 2010. Then calculate the residual for the year 2010 if the actual price in 2010 was $11.57 per million Btu.
b. What is the correlation coefficient, rounded to two decimal places. Is the linear association between the variables “weak” or “strong”? How do you know?
Chapter 11 Solutions
EBK AN INTRODUCTION TO MATHEMATICAL STA
Ch. 11.2 - Crickets make their chirping sound by sliding one...Ch. 11.2 - The aging of whisky in charred oak barrels brings...Ch. 11.2 - Prob. 3QCh. 11.2 - Prob. 4QCh. 11.2 - Prob. 5QCh. 11.2 - Prob. 6QCh. 11.2 - The relationship between school funding and...Ch. 11.2 - (a) Find the equation of the least squares...Ch. 11.2 - Prob. 9QCh. 11.2 - Prob. 10Q
Ch. 11.2 - Prob. 11QCh. 11.2 - Verify that the coefficients a and b of the least...Ch. 11.2 - Prob. 13QCh. 11.2 - Prob. 14QCh. 11.2 - Prob. 15QCh. 11.2 - Prob. 16QCh. 11.2 - Prob. 17QCh. 11.2 - A graph of the luxury suite data in Question 8.2.5...Ch. 11.2 - Set up (but do not solve) the equations necessary...Ch. 11.2 - Prob. 20QCh. 11.2 - The growth of federal expenditures is one of the...Ch. 11.2 - Prob. 22QCh. 11.2 - Prob. 24QCh. 11.2 - Prob. 25QCh. 11.2 - Among mammals, the relationship between the age at...Ch. 11.2 - Prob. 27QCh. 11.2 - Years of experience buying and selling commercial...Ch. 11.2 - Prob. 29QCh. 11.2 - The following table shows a portion of the results...Ch. 11.3 - Insect flight ability can be measured in a...Ch. 11.3 - The best straight line through the Massachusetts...Ch. 11.3 - Based on the data in Question 11.2.1, the...Ch. 11.3 - Suppose an experimenter intends to do a regression...Ch. 11.3 - Prob. 5QCh. 11.3 - Prob. 6QCh. 11.3 - Prob. 7QCh. 11.3 - Set up and carry out an appropriate hypothesis...Ch. 11.3 - Test H0:1=0 versus H1:10 for the plumage...Ch. 11.3 - Prob. 10QCh. 11.3 - Derive a formula for a 95% confidence interval for...Ch. 11.3 - Which, if any, of the assumptions of the simple...Ch. 11.3 - Prob. 13QCh. 11.3 - Construct a 90% confidence interval for 2 in the...Ch. 11.3 - Regression techniques can be very useful in...Ch. 11.3 - Construct a 95% confidence interval for E(Y2.750)...Ch. 11.3 - Prob. 18QCh. 11.3 - The fuel economy (in miles per gallon) of an...Ch. 11.3 - In the radioactive exposure example in Question...Ch. 11.3 - Attorneys representing a group of male buyers...Ch. 11.3 - Prob. 23QCh. 11.3 - Show that i=1n(YiY)2=i=1n(YiYi)2+i=1n(YiY)2 for...Ch. 11.4 - Prob. 1QCh. 11.4 - Prob. 2QCh. 11.4 - Prob. 3QCh. 11.4 - Prob. 4QCh. 11.4 - Prob. 5QCh. 11.4 - Let the random variable X take on the values...Ch. 11.4 - Prob. 7QCh. 11.4 - Prob. 8QCh. 11.4 - Prob. 9QCh. 11.4 - Prob. 10QCh. 11.4 - Some baseball fans believe that the number of home...Ch. 11.4 - Many people believe that a salary bonus is a...Ch. 11.4 - The extent to which stress is a contributing...Ch. 11.4 - Burglary and larceny both involve the illegal...Ch. 11.4 - A common saying in golf is You drive for show, but...Ch. 11.5 - Suppose that X and Y have a bivariate normal pdf...Ch. 11.5 - Suppose that X and Y have a bivariate normal...Ch. 11.5 - Prob. 3QCh. 11.5 - Suppose that the random variables X and Y have a...Ch. 11.5 - Prob. 5QCh. 11.5 - Give conditions on a0,b0, and u so that...Ch. 11.5 - Prob. 7QCh. 11.5 - In a study of heart disease (79), the weight (in...Ch. 11.5 - Prob. 9QCh. 11.5 - Prob. 10QCh. 11.5 - The National Collegiate Athletic Association has...
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