Correlation & Regression Questions with
Correct Answers 2025
What is a correlation? - correct answers-A measure of the linear relationship (or lack of) between
variables.
What can a correlation tell you about a relationship? - correct answers-The magnitude and direction of
the relationship.
The basis of correlation is a concept of what? - correct answers-Co-variance
What is co-variance? - correct answers-Looks at the effect that variance in one variable has on the
variance of another.
To quantify the relationship (or lack of) between variables, why does data have to be standardized? -
correct answers-To prevent the results being influenced by the measurement unit.
How is data standardized? - correct answers-By using the standard deviation.
*instead of comparing variance from the mean of two variables in their units, the variance is now
comparing the standard deviations.
What values are the standard deviations contained between? - correct answers-+1 and -1
What coefficient represents a 'perfect' correlation? what does this mean? - correct answers-1 ; The
change in one variable would elicit a change of identical magnitude or extent in the other variable.
What coefficient represents no correlation? - correct answers-0 ; There is no co-variance at all between
the variables.
Pearson's correlation coefficient ranges from _________ to _________, _________ indicates no linear
relationship and _________/_________ indicate a strong linear relationship. - correct answers--1, 1, 0,
1,-1
How is correlation data reported? - correct answers-Using the Pearson product-moment correlation
coefficient (aka, Pearsons correlation coefficient)
The Pearsons correlation coefficient is denoted by what letter? (case sensitive) - correct answers-r
Interpret r = -1 - correct answers-Demonstrates a perfect negative correlation
*for each decrease in one variable, there is a proportionate decrease in the other.
Interpret r = 1 - correct answers-Demonstrates a perfect positive correlation
Correct Answers 2025
What is a correlation? - correct answers-A measure of the linear relationship (or lack of) between
variables.
What can a correlation tell you about a relationship? - correct answers-The magnitude and direction of
the relationship.
The basis of correlation is a concept of what? - correct answers-Co-variance
What is co-variance? - correct answers-Looks at the effect that variance in one variable has on the
variance of another.
To quantify the relationship (or lack of) between variables, why does data have to be standardized? -
correct answers-To prevent the results being influenced by the measurement unit.
How is data standardized? - correct answers-By using the standard deviation.
*instead of comparing variance from the mean of two variables in their units, the variance is now
comparing the standard deviations.
What values are the standard deviations contained between? - correct answers-+1 and -1
What coefficient represents a 'perfect' correlation? what does this mean? - correct answers-1 ; The
change in one variable would elicit a change of identical magnitude or extent in the other variable.
What coefficient represents no correlation? - correct answers-0 ; There is no co-variance at all between
the variables.
Pearson's correlation coefficient ranges from _________ to _________, _________ indicates no linear
relationship and _________/_________ indicate a strong linear relationship. - correct answers--1, 1, 0,
1,-1
How is correlation data reported? - correct answers-Using the Pearson product-moment correlation
coefficient (aka, Pearsons correlation coefficient)
The Pearsons correlation coefficient is denoted by what letter? (case sensitive) - correct answers-r
Interpret r = -1 - correct answers-Demonstrates a perfect negative correlation
*for each decrease in one variable, there is a proportionate decrease in the other.
Interpret r = 1 - correct answers-Demonstrates a perfect positive correlation