1)You are doing a one sided, greater than, hypothesis test for the population proportion using a sample of 25, and you get a test statistic of 1.7.:
you can
reject the null hypothesis at the 5% significance level, but not at the 2.5% level
2.Determine the sample size needed in order to be 95% confident that the sample proportion of the current customer accounts is within 0.015 of the true
proportion of all current accounts forthis company:
p: n=z(alpha/2)(p^(1-p^)/ME^2 = 4,269 If u: n=(z(alpha/2)(s)/ME))^2
3) In this multiple regression model, the salaries are in thousands of dollars. The dummy variable for gender is statistically significant and
X1 = 0 if male and
X1 = 1 if female. X2 measures experience in years. The estimated model is: Salary = 20 - 3X1 + 2 X2 :
The average effect of experience on salary is the same
for females and males
4) A linear regression model for dependent variable Y and independent variables X1, X2, and X3 has a R2 value of 60%. Then the absolute value of the
correlation between X3 and Y is:
Can’t
be determined
5) Consider the following multiple regression setting: F=56.25, n=111, k=10. Based on what is given find
r2=.6
The regression equation is
Sqrt Sales = 6.76 + 0.0177 YrsExperience + 0.0275 MktPotential + 0.0820 MktShare
Predictor
Coef
SE Coef
T
P
VIF
Analysis of variance
Constant
6.7631
0.1474
45.88
Source
DF
SS
MS
F
P
YrsExperience
0.017680
0.004931
1.400
Regression
3
3.3783
1.1261
40.103
0.0000
MktPotential
0.027537
0.005053
1.405
Residual erro
28
.7862
.0281
MktShare
0.08196
0.01396
1.036
Total
31
4.1645
S = 0.167571
R-Sq =
81.12%
R-Sq(adj) = 79.1%
New
New
Obs
Fit
SE Fit
95% CI
95% PI
Obs
YRS exp
Mktpotential
Mktshare
1
8.2636
0.0386
(8.1846, 8.3426)
(7.9113, 8.6158)
1
12
20
9
6)What is the sample size
n
= k+n = 28 + 3 + 1= 32
7.)What are the null and alternative hypotheses for the test of the overall significance of the linear regression model?
H0: β1 = β2
= β3
= 0
vs.
Ha: at least one β
j
= 0
̸
8.What range would you give with 95% confidence for the
square root of
sales of an individual sales representative with
YrsExperience
= 12,
MktPotential
=
20, and
MktShare
= 9?
[7.9113, 8.6158]
9) What percentage of variation in
Sqrt Sales
is explained by the independent variables
YrsExperience
,
MktPotential
, and
MktShare
?
81.1%
10)What are the null and alternative hypotheses for the test of the significance of the independent variable
MktPotential
(
X
2) in the linear regression model?
H0: β2 = 0
vs.
Ha: β2
= 0
̸
11) The value of the total variation is
4.1646
12)The value of the
F
-statistic is
B) 40.10
13)Predict the value of the
Sales
for
YrsExperience= MktPotential=MktShare
=0. A) 6.76
Approximately 45.
14. Suppose you are testing H0: β1 ≥ 0.03 vs. Ha: β1 < 0.03. What should be your decision?
Reject H0 at the 0.01 level but not at the 0.005 level
15)To which has the following categories: less than high school, high school graduate, some college, bachelor’s degree, master’s degree, and Ph.D.
Five more
independent variables will be included
16. Suppose we have a list of ordered pairs (X,Y). Suppose SD(X) > 0, SD(Y) > 0, and rXY > 0. Which of the following statements, if any, is/are true?

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