K. When the null hypothesis, H0: b1 = b2 = b3 = 0,
is rejected, the interpretation should be:
A) there is no linear relationship between y and any of the
three independent variables
B) there is a regression relationship between y and at least
one of the three independent variables
C) all three independent variables have a slope of zero
D) all three independent variables have equal slopes
E) there is a regression relationship between y and all three
independent variables
L. Consider the following multiple regression
model, with n = 25:
y = 5 + 10x1 + 20x2.
R2 = 0.90 Sb1 =
3.2 sb2 = 5.5
Calculate the t-test statistic to test whether x1 contributes
information to the prediction of y.
A) 0.32
B)3. 636
C) 3.125
D) 2.8125
E) 11.11
M. Dummy variables are used when:
A) qualitative variables are involved in the model
B) quantitative variables are involved in the model
C) doing residual analysis
D) making transformations of quantitative variables
E) none of the above
In a multiple regression study based on 24
observations, the following results were observed:
coeffcient estimate standard Error
B0
35.21 4.53
B1
23.02 12.02
B2
13.05 6.02
B3
-2.45
0.38
N. If alpha is set at 0.05, what is the critical
value for the test statistic in a test of H0: bi = 0 in this
situation?
A) Z = 1.96
B) Z = 1.645
C) t = 2.086
D) t = 2.064
E) t = 1.725
O. Assuming that all
variables were determined to be useful, what would the predicted
value of Y be if X1 = 3, X2 = 16 and X3 = 4.8?
1. 301.31
2. 266.10
3. 191.62
4. 142.57
5. 138.04
P. When sampling from a normal population with mean 100 and
standard deviation 12, using a sample size of 36, the probability
that the sample mean will exceed 110 is:
A) 2033
B) 7967
C) a very small number
D) a very large number
E) a number very close to 1