Define and distinguish among positive correlation, negative correlation, and no
ID: 3056211 • Letter: D
Question
Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A.
Positive correlation means that both variables tend to increase (or decrease) together.
B.
Positive correlation means that there is a good relationship between the two variables.
C.
Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D.
Positive correlation means that there is no apparent relationship between the two variables.
Define negative correlation. Choose the correct answer below.
A.
Negative correlation means that there is no apparent relationship between the two variables.
B.
Negative correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
C.
Negative correlation means that there is a bad relationship between the two variables.
D.
Negative correlation means that both variables tend to increase (or decrease) together.
Define no correlation. Choose the correct answer below.
A.
No correlation means that there is no apparent relationship between the two variables.
B.
No correlation means that the two variables are always zero.
C.
No correlation means that both variables tend to increase (or decrease) together.
D.
No correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
How do we determine the strength of a correlation?
A.
The more closely two variables follow the general trend, the stronger the correlation (which may be positive or negative).
B.
Negative correlation is stronger than no correlation. Positive correlation is stronger than negative correlation.
C.
No correlation is stronger than negative correlation. Positive correlation is stronger than no correlation.
D.
The more closely two variables follow the general trend, the weaker the correlation (which may be positive or negative).
Explanation / Answer
Correlation is a statistical measure that indicates the extent to which two or more variables are related with each other. The scale of correlation goes from -1 to +1 where if correlation is < 0 then it is a negative correlation whereas if it is > 0 then there is positive correlation. A value of zero indicates no correlation.
A) Positive correlation is a relationship between two variables in which both variables move in tandem. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases. A perfect positive correlation is represented by 1.
Therefore correct option is A.
B) A negative correlation between two variables means that one variable increases whenever the other decreases. Perfect negative correlation (-1) means a direct relationship always exists with a decrease in one variable always meeting with a corresponding increase in the other.
Therefore correct option is B.
C) Correct option is A. No correlation (value of zero) means variables are not associated with each other.
D) Correct option is A. If increase or decrease in one variable results in increase or decrease in the other then there is correlation. If the value of correlation is close to either extremities (+1 or +1) then there is strong correlation.
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