Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 9.3, Problem 36E
To determine
To test: The claim that
To explain: About the result.
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Students have asked these similar questions
ons
12. A sociologist hypothesizes that the crime rate is higher in areas
with higher poverty rate and lower median income. She col-
lects data on the crime rate (crimes per 100,000 residents),
the poverty rate (in %), and the median income (in $1,000s)
from 41 New England cities. A portion of the regression results
is shown in the following table.
Standard
Coefficients
error
t stat
p-value
Intercept
-301.62
549.71
-0.55 0.5864
Poverty
53.16
14.22
3.74 0.0006
Income
4.95
8.26
0.60 0.5526
a.
b.
Are the signs as expected on the slope coefficients?
Predict the crime rate in an area with a poverty rate of
20% and a median income of $50,000.
3. Using data from 50 work
2. The owner of several used-car dealerships believes that the
selling price of a used car can best be predicted using the car's
age. He uses data on the recent selling price (in $) and age of
20 used sedans to estimate Price = Po + B₁Age + ε. A portion
of the regression results is shown in the accompanying table.
Standard
Coefficients
Intercept
21187.94
Error
733.42
t Stat p-value
28.89 1.56E-16
Age
-1208.25
128.95 -9.37
2.41E-08
a. What is the estimate for B₁? Interpret this value.
b. What is the sample regression equation?
C. Predict the selling price of a 5-year-old sedan.
ian income of $50,000.
erty rate of
13. Using data from 50 workers, a researcher estimates Wage =
Bo+B,Education + B₂Experience + B3Age+e, where Wage
is the hourly wage rate and Education, Experience, and Age
are the years of higher education, the years of experience, and
the age of the worker, respectively. A portion of the regression
results is shown in the following table. ni ogolloo bash
1
Standard
Coefficients error
t stat p-value
Intercept
7.87
4.09
1.93
0.0603
Education
1.44
0.34
4.24 0.0001
Experience
0.45
0.14
3.16
0.0028
Age
-0.01
0.08 -0.14 0.8920
a. Interpret the estimated coefficients for Education and
Experience.
b. Predict the hourly wage rate for a 30-year-old worker
with four years of higher education and three years of
experience.
Chapter 9 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 9.1 - Prob. 1TYCh. 9.1 - Prob. 2TYCh. 9.1 - Prob. 3TYCh. 9.1 - Prob. 4TYCh. 9.1 - Prob. 5TYCh. 9.1 - Prob. 6TYCh. 9.1 - Prob. 7TYCh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Describe the range of values for the correlation...
Ch. 9.1 - What does the sample correlation coefficient r...Ch. 9.1 - Give examples of two variables that have perfect...Ch. 9.1 - Explain how to determine whether a sample...Ch. 9.1 - Discuss the difference between r and p.Ch. 9.1 - Prob. 8ECh. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Prob. 11ECh. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Prob. 13ECh. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Prob. 25ECh. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - Prob. 34ECh. 9.1 - Prob. 33ECh. 9.1 - Interchanging x and y In Exercise 26, let the time...Ch. 9.1 - Generate a new data set. Using your knowledge of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Try to create a data set with a value of r that is...Ch. 9.2 - Prob. 1TYCh. 9.2 - Prob. 2TYCh. 9.2 - Prob. 3TYCh. 9.2 - What is a residual? Explain when a residual is...Ch. 9.2 - Two variables have a positive linear correlation....Ch. 9.2 - Explain how to predict y-values using the equation...Ch. 9.2 - For a set of data and a corresponding regression...Ch. 9.2 - In order to predict y-values using the equation of...Ch. 9.2 - Why is it not appropriate to use a regression line...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Prob. 20ECh. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 35 and 36, (a) construct a scatter...Ch. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 1ACh. 9.2 - Prob. 2ACh. 9.2 - Prob. 3ACh. 9.2 - Prob. 4ACh. 9.2 - Prob. 1CSCh. 9.2 - Prob. 2CSCh. 9.2 - Prob. 3CSCh. 9.2 - Prob. 4CSCh. 9.2 - Prob. 5CSCh. 9.3 - Prob. 1TYCh. 9.3 - Prob. 2TYCh. 9.3 - Prob. 3TYCh. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - The coefficient of determination r2 is the ratio...Ch. 9.3 - What is the coefficient of determination for two...Ch. 9.3 - Two variables have a bivariate normal...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - In Exercises 37 and 38, construct the indicated...Ch. 9.4 - Prob. 1TYCh. 9.4 - Prob. 2TYCh. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Prob. 3ECh. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9 - Prob. 2UACh. 9 - Prob. 9.1.1RECh. 9 - Prob. 9.1.2RECh. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - Prob. 9.1.5RECh. 9 - Prob. 9.1.6RECh. 9 - Prob. 9.1.7RECh. 9 - Prob. 9.1.8RECh. 9 - Prob. 9.2.9RECh. 9 - Prob. 9.2.10RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.12RECh. 9 - In Exercises 1316, use the value of the...Ch. 9 - Prob. 9.3.14RECh. 9 - Prob. 9.3.15RECh. 9 - Prob. 9.3.16RECh. 9 - Prob. 9.3.17RECh. 9 - Prob. 9.3.18RECh. 9 - Prob. 9.3.19RECh. 9 - Prob. 9.3.20RECh. 9 - Prob. 9.3.21RECh. 9 - In Exercises 1924, construct the indicated...Ch. 9 - Prob. 9.3.23RECh. 9 - Prob. 9.3.24RECh. 9 - Prob. 9.4.25RECh. 9 - Prob. 9.4.26RECh. 9 - Prob. 9.4.27RECh. 9 - Prob. 9.4.28RECh. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Net Sales The equation used to predict the net...Ch. 9 - Prob. 1RSRDCh. 9 - Prob. 2RSRDCh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Use technology to find the multiple regression...Ch. 9 - Prob. 7T
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