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Quiz 4 - Chapter 14



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

1. 

In a regression and correlation analysis if r2 = 1, then
a.
SSE = SST
b.
SSE = 1
c.
SSR = SSE
d.
SSR = SST
 

2. 

If the coefficient of determination is a positive value, then the regression equation
a.
must have a positive slope
b.
must have a negative slope
c.
could have either a positive or a negative slope
d.
must have a positive y intercept
 

3. 

If the coefficient of correlation is a positive value, then the slope of the regression line
a.
must also be positive
b.
can be either negative or positive
c.
can be zero
d.
can not be zero
 

4. 

If the coefficient of determination is 0.81, the coefficient of correlation
a.
is 0.6561
b.
could be either + 0.9 or - 0.9
c.
must be positive
d.
must be negative
 

5. 

If a data set has SST = 2,000 and SSE = 800, then the coefficient of determination is
a.
0.4
b.
0.6
c.
0.5
d.
0.8
 

6. 

If the coefficient of correlation is a negative value, then the coefficient of determination
a.
must also be negative
b.
must be zero
c.
can be either negative or positive
d.
must be positive
 

7. 

If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in the independent variable
a.
is 0.90%
b.
is 90%.
c.
is 0.81%
d.
can be any positive value
 
 
Exhibit 14-1
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.

Y
X
4
2
3
1
4
4
6
3
8
5

SSE = 6
SST = 16
 

8. 

Refer to Exhibit 14-1. The MSE is
a.
1
b.
2
c.
3
d.
4
 
 
Exhibit 14-7
You are given the following information about y and x.

y
x
Dependent Variable
Independent Variable
5
15
7
12
9
10
11  
 7
 

9. 

Refer to Exhibit 14-7. The least squares estimate of b1 equals
a.
-0.7647
b.
-0.13
c.
21.4
d.
16.412
 
 
Exhibit 14-9
A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).

n = 10
Sx = 55
Sy = 55
Sx2 = 385
Sy2 = 385
Sxy = 220
 

10. 

Refer to Exhibit 14-9. The point estimate of y when x = 20 is
a.
0
b.
31
c.
9
d.
-9
 



 
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