Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Textbook Question
Chapter 4.4, Problem 1LC
a. Sketch a histogram showing the frequency distribution for the following sample of n = 5 scores: 3, 1, 9, 4, 3. Locale the
b. Calculate SS, variance, and standard deviation for this sample. How well does your estimate from part a compare with the real standard deviation?
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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 4 Solutions
Essentials of Statistics for the Behavioral Sciences
Ch. 4.3 - Brief explain what is measured by the standard...Ch. 4.3 - The deviation scores are calculated for each...Ch. 4.3 - What is the standard deviation for the following...Ch. 4.3 - Calculate the variance for the following...Ch. 4.3 - Find the sum of the squared deviations, SS, for...Ch. 4.3 - a. Sketch a histogram showing the frequency...Ch. 4.4 - a. Sketch a histogram showing the frequency...Ch. 4.4 - For the following set of scores: 1, 5, 7, 3, 4 a....Ch. 4.4 - Prob. 3LCCh. 4.5 - Explain the difference between a biased and an...
Ch. 4.5 - In a population with a mean of = 50 and a...Ch. 4.5 - A population has a mean of . = 70 and a standard...Ch. 4 - In words, explain what is measured by each of the...Ch. 4 - Can SS ever have a value less than zero? Explain...Ch. 4 - Is it possible to obtain a negative value for the...Ch. 4 - What does it mean for a sample to have a standard...Ch. 4 - Explain why the formula for sample variance is...Ch. 4 - A population has a mean of = 80 and a standard...Ch. 4 - On an exam with a mean of M = 78, you obtain a...Ch. 4 - Calculate the mean and SS (sum of squared...Ch. 4 - For the following population of N = 6 scores: 3 1...Ch. 4 - For the following sample of n = 7 scores: 8 6 5 2...Ch. 4 - For the following population of N = 6 scores: 11 0...Ch. 4 - The range is completely determined by the two...Ch. 4 - A population has a mean of = 30 and a standard...Ch. 4 - a. After 3 points have heen aikicd to every score...Ch. 4 - For the following sample of n = 4 scores: 82, 88,...Ch. 4 - For the following sample of n = 8 scores: 0, 1,...Ch. 4 - For the data in the following sample: 81515 a....Ch. 4 - Calculate the mean and SS (sum of squared...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - Calculate SS, variance, and standard deviation for...Ch. 4 - In an extensive study involving thousands of...Ch. 4 - Within a population, the difference that exist...Ch. 4 - In the previous problem we noted that the...Ch. 4 - a. What is the general goal for descriptive...
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