EDUC 812 QUIZ 6: CORRELATION | QUESTIONS AND
ANSWERS | 2026 UPDATE | 100% CORRECT.
SECTION 1: CORRELATION COEFFICIENT BASICS
1. The value of the correlation coefficient is always:
• A) Greater than or equal to 0
• B) Less than or equal to 1
• C) Between 0 and 1 inclusive
• D) Between -1 and 1 inclusive (Correct Answer)
• E) Equal to 1
Rationale: The correlation coefficient (r) ranges from -1 to +1 inclusive. A value of -
1 indicates a perfect negative linear relationship, +1 indicates a perfect positive
linear relationship, and 0 indicates no linear relationship .
2. A correlation near 0 indicates:
• A) There is no linear relationship between the variables (Correct Answer)
• B) There is a strong negative relationship
• C) There is a strong positive relationship
• D) The variables are perfectly related
Rationale: A correlation coefficient close to 0 indicates that there is little to no
linear relationship between the two variables. This does not necessarily mean
there is no relationship at all—only that there is no linear relationship .
3. What does the sign (+ or -) of a correlation coefficient best represent?
, • A) The strength of the relationship
• B) The direction of the relationship (Correct Answer)
• C) The significance of the relationship
• D) The sample size
Rationale: The sign of the correlation coefficient indicates the direction of the
relationship. A positive sign (+) means that as one variable increases, the other
variable also increases. A negative sign (-) means that as one variable increases,
the other variable decreases .
4. Which of the following correlations represents the strongest possible
relationship between X and Y?
• A) r = .50
• B) r = -.75
• C) r = -.99 (Correct Answer)
• D) r = .60
Rationale: The strength of a correlation is determined by the absolute value of r,
not the sign. The closer the absolute value is to 1.00, the stronger the relationship.
An r of -.99 is extremely close to -1.00, representing a near-perfect negative
relationship—stronger than .50, -.75, or .60 .
5. A study found a correlation of r = -0.72 between family income and the
number of pounds of soft margarine consumed annually. You can conclude that:
• A) This is nonsense—you can't compute a correlation between income and
margarine
• B) Something is wrong—a correlation cannot take the value -0.72
ANSWERS | 2026 UPDATE | 100% CORRECT.
SECTION 1: CORRELATION COEFFICIENT BASICS
1. The value of the correlation coefficient is always:
• A) Greater than or equal to 0
• B) Less than or equal to 1
• C) Between 0 and 1 inclusive
• D) Between -1 and 1 inclusive (Correct Answer)
• E) Equal to 1
Rationale: The correlation coefficient (r) ranges from -1 to +1 inclusive. A value of -
1 indicates a perfect negative linear relationship, +1 indicates a perfect positive
linear relationship, and 0 indicates no linear relationship .
2. A correlation near 0 indicates:
• A) There is no linear relationship between the variables (Correct Answer)
• B) There is a strong negative relationship
• C) There is a strong positive relationship
• D) The variables are perfectly related
Rationale: A correlation coefficient close to 0 indicates that there is little to no
linear relationship between the two variables. This does not necessarily mean
there is no relationship at all—only that there is no linear relationship .
3. What does the sign (+ or -) of a correlation coefficient best represent?
, • A) The strength of the relationship
• B) The direction of the relationship (Correct Answer)
• C) The significance of the relationship
• D) The sample size
Rationale: The sign of the correlation coefficient indicates the direction of the
relationship. A positive sign (+) means that as one variable increases, the other
variable also increases. A negative sign (-) means that as one variable increases,
the other variable decreases .
4. Which of the following correlations represents the strongest possible
relationship between X and Y?
• A) r = .50
• B) r = -.75
• C) r = -.99 (Correct Answer)
• D) r = .60
Rationale: The strength of a correlation is determined by the absolute value of r,
not the sign. The closer the absolute value is to 1.00, the stronger the relationship.
An r of -.99 is extremely close to -1.00, representing a near-perfect negative
relationship—stronger than .50, -.75, or .60 .
5. A study found a correlation of r = -0.72 between family income and the
number of pounds of soft margarine consumed annually. You can conclude that:
• A) This is nonsense—you can't compute a correlation between income and
margarine
• B) Something is wrong—a correlation cannot take the value -0.72
