Question 1

What is the difference between a conﬁdence interval and a prediction interval for the dependent
Variable in correlation analysis?
A) A prediction interval reports the mean value of Y for a given X, whereas a conﬁdence interval reports the range of values of Y for a particular value of X.
B) A conﬁdence interval reports the mean value of Y for a given X, whereas a prediction interval reports the range of values of Y for a particular value of X.
C) A conﬁdence interval reports the value of Y for a given X, whereas a prediction interval reports the value of Y for a particular value of X.

Accepted Answer

A conﬁdence interval reports the mean value of Y for a given X, whereas a prediction

Question 2

i. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two
Variables is quite weak.
ii. Coeﬃcients of -0.91 and +0.91 have equal strength.
iii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 3

i. The purpose of correlation analysis is to ﬁnd how strong the relationship is between two variables.
ii. A correlation coeﬃcient of -1 or +1 indicates perfect correlation.
iii. The standard error of estimate measures the accuracy of our prediction.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 4

i. The coeﬃcient of correlation is a measure of the strength of relationship between two variables.
ii. The coeﬃcient of determination can only be positive.
iii. The standard error of estimate measures the accuracy of our prediction.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 5

What is the range of values for a coeﬃcient of correlation?
A) 0 to +1.0
B) -3 to +3 inclusive
C) -1.0 to +1.0 inclusive
D) Unlimited range

Accepted Answer

-1.0 to +1.0 inclusive

Question 6

Use the scatter diagrams to verify which statements are correct:
Chart A 
Chart B 
Chart C 
A) The variables in Chart A have a strong positive correlation.
B) The variables in Chart C have a strong positive correlation.
C) The variables in Chart B have a negative correlation.
D) Charts A & B have no obvious outliers.

Accepted Answer

Charts A & B have no obvious outliers.

Question 7

i. A correlation coeﬃcient of -1 or +1 indicates perfect correlation.
ii. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two
Variables is quite weak.
iii. Coeﬃcients of -0.91 and +0.91 have equal strength.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 8

i. Perfect correlation means that the scatter diagram will appear as a straight line
ii. If the coeﬃcient of correlation is 0.80, the coeﬃcient of determination is 0.64.
iii. The coeﬃcient of determination can assume values between 0% and 100%
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 9

What does a coeﬃcient of correlation of 0.70 infer?
A) Almost no correlation because 0.70 is close to 1.0.
B) 70% of the variation in one variable is explained by the other.
C) Coeﬃcient of determination is 0.49.
D) Coeﬃcient of nondetermination is 0.30.

Accepted Answer

Coeﬃcient of determination is 0.49.

Question 10

i. Correlation analysis is a group of statistical techniques used to measure the strength of the
Relationship (correlation) between two variables.
ii. A correlation coeﬃcient of -1 or +1 indicates perfect correlation.
iii. The strength of the correlation between two variables depends on the sign of the coeﬃcient of
Correlation.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Question 11

Which of the following statements regarding the coeﬃcient of correlation is true?
A) It ranges from -1.0 to +1.0 inclusive.
B) It measures the strength of the relationship between two variables.
C) A value of 0.00 indicates two variables are not related.
D) It ranges from -1.0 to +1.0 inclusive; 0.00 indicates the two variables are not related. It measures the strength of the relationship between two variables.

Accepted Answer

It ranges from -1.0 to +1.0 inclusive; 0.00 indicates the two variables are related. It

Question 12

i. The purpose of correlation analysis is to ﬁnd how strong the relationship is between two variables.
ii. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two
Variables is quite weak.
iii. The strength of the correlation between two variables depends on the sign of the coeﬃcient of
Correlation.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i) and (ii) are correct statements but (iii).

Question 13

The partial MegaStat output below is regression analysis of the relationship between annual payroll
And number of wins in a season for 28 teams in professional sports. The purpose of the analysis is
To predict the number of wins when given an annual payroll in $millions. Although technically not a
Sample, the baseball data below will be treated as a convenience sample of all major league
Professional sports. 
Refer to the printout above. Predict the number of wins for a team with PAYROLL = 25(million)
(nearest whole number)
A) 10
B) 69
C) 79
D) 74
E) 64 Multiple Choice Diﬃculty: Hard Learning

Accepted Answer

79

Question 14

i. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two
Variables is quite weak.
ii. A coeﬃcient of correlation of -0.96 indicates a very weak negative correlation.
iii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i) and (iii) are correct statements but (ii).

Question 15

i. The coeﬃcient of determination is the proportion of the total variation in the dependent variable Y
That is explained or accounted for by its relationship with the independent variable X.
ii. The coeﬃcient of determination is found by taking the square root of the coeﬃcient of
Correlation.
iii. The standard error of estimate measures the accuracy of our prediction.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i) and (iii) are correct statements but (ii).

Question 16

i. A correlation coeﬃcient of -1 or +1 indicates perfect correlation.
ii. The strength of the correlation between two variables depends on the sign of the coeﬃcient of
Correlation.
iii. If the coeﬃcient of correlation is -0.90, the coeﬃcient of determination is -0.81.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) is a correct statement but not (ii) or (iii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i) is a correct statement but (ii) or (iii).

Question 17

i. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two
Variables is quite weak.
ii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624.
iii. The standard error of estimate measures the accuracy of our prediction.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 18

i. The strength of the correlation between two variables depends on the sign of the coeﬃcient of
Correlation.
ii. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two
Variables is quite weak.
iii. The coeﬃcient of determination is found by taking the square root of the coeﬃcient of
Correlation.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) is a correct statement but not (i) or (iii).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(ii) is a correct statement but (i) or (iii).

Question 19

i. The coeﬃcient of determination can only be positive.
ii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624.
iii. The standard error of estimate measures the accuracy of our prediction.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Accepted Answer

(i), (ii), and (iii) are all correct statements.

Question 20

The partial MegaStat output below is regression analysis of the relationship between annual payroll
And number of wins in a season for 28 teams in professional sports. The purpose of the analysis is
To predict the number of wins when given an annual payroll in $millions. Although technically not a
Sample, the baseball data below will be treated as a convenience sample of all major league
Professional sports. 
Refer to the printout above. How many independent variables?
A) 1
B) 2
C) 9
D) 10
E) 11

Accepted Answer

1

Quiz 12: Analysis of Variance

What is the difference between a conﬁdence interval and a prediction interval for the dependent Variable in correlation analysis?

i. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two Variables is quite weak. ii. Coeﬃcients of -0.91 and +0.91 have equal strength. iii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624.

i. The purpose of correlation analysis is to ﬁnd how strong the relationship is between two variables. ii. A correlation coeﬃcient of -1 or +1 indicates perfect correlation. iii. The standard error of estimate measures the accuracy of our prediction.

i. The coeﬃcient of correlation is a measure of the strength of relationship between two variables. ii. The coeﬃcient of determination can only be positive. iii. The standard error of estimate measures the accuracy of our prediction.

What is the range of values for a coeﬃcient of correlation?

Use the scatter diagrams to verify which statements are correct: Chart A Chart B Chart C

i. A correlation coeﬃcient of -1 or +1 indicates perfect correlation. ii. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two Variables is quite weak. iii. Coeﬃcients of -0.91 and +0.91 have equal strength.

i. Perfect correlation means that the scatter diagram will appear as a straight line ii. If the coeﬃcient of correlation is 0.80, the coeﬃcient of determination is 0.64. iii. The coeﬃcient of determination can assume values between 0% and 100%

What does a coeﬃcient of correlation of 0.70 infer?

Which of the following statements regarding the coeﬃcient of correlation is true?

i. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two Variables is quite weak. ii. A coeﬃcient of correlation of -0.96 indicates a very weak negative correlation. iii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624.

i. A correlation coeﬃcient of -1 or +1 indicates perfect correlation. ii. The strength of the correlation between two variables depends on the sign of the coeﬃcient of Correlation. iii. If the coeﬃcient of correlation is -0.90, the coeﬃcient of determination is -0.81.

i. A coeﬃcient of correlation r close to 0 (say, 0.08) shows that the relationship between two Variables is quite weak. ii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624. iii. The standard error of estimate measures the accuracy of our prediction.

i. The coeﬃcient of determination can only be positive. ii. If the coeﬃcient of correlation is 0.68, the coeﬃcient of determination is 0.4624. iii. The standard error of estimate measures the accuracy of our prediction.