277
CHAPTER 10
Qualitative Dependent Variables: An Introduction to
Discriminant Analysis and Logistic Regression
10.1
a
H0: 1 = 0.0
Ha: 1 0.0
Decision Rule: Reject H0 if z > 1.96 or z < -1.96
Do not reject H0 if -1.96 z 1.96
Test Statistic:
z = 3.06
OR
De
265
CHAPTER 9
An Introduction to Analysis of Variance
9.1
Hypotheses:
H 0: 1 = 2 = = 9
Ha: Not all means are equal
Decision Rule: Reject H0 if F > 2.02
Do not reject H0 if F 2.02
Test Statistic:
F(0.05; 8, 103) 2.02
F = 14.82
OR
Decision Rule: Reject H0 i
242
CHAPTER 8
Variable Selection
8.1
a
y = 59.43 + 0.95x1 + 2.39x2
b
0.9986 or 99.86%
d
se = 11.0
e
COST = 59.43PAPER + 2.39MACHINE
99.87%
c
or
OVERHEAD and LABOR
Overhead and labor are related to COST when examined individually. However,
they add little
63
CHAPTER 4
Multiple Regression Analysis
4.1
a
y = 51.72 + 0.95x1 + 2.47x2 + 0.05x3 0.05x4
OR
COST = 51.72 + 0.95 PAPER + 2.47 MACHINE + 0.05 OVERHEAD 0.05LABOR
b
Hypotheses:
H 0: 1 = 2 = 3 = 4 = 0
Ha: At least one of the coefficients (1, 2, 3, 4) is not
96
CHAPTER 5
Fitting Curves to Data
5.1
Model Summaries:
R-square
Linear Model
Second Order Model
Adjusted R-square
Standard Error
99.2
100.0
99.0
99.9
14.34
3.54
The second-order model appears better than the first-order model. The p value on the
second-
109
CHAPTER 6
Assessing the Assumptions of the Regression Model
6.1
a
b
c
Yes. It is not, however, a linear relationship.
y = 10
Decision Rule: Reject H0 if t > 3.25 or t < -3.25
t(0.005, 9) = 3.25
Do not reject H0 if -3.25 t 3.25
Test Statistic:
t = 0.0
168
CHAPTER 7
Using Indicator and Interaction Variables
7.1
a
Hypotheses:
H0: 1 = 2 = 3 = 4 = 0.0
Ha: At least one of the coefficients is not equal to 0.
Decision Rule: Reject H0 if F > 2.53
Do not reject H0 if F 2.53
Test Statistic:
F(0.05; 4, 88) 2.53
F