Which of the following are measured by correlation coefficienta.Linear association between two random variablesb.Direction of relationship between two variables (positive or negative association)c.A unit free value for the strength of linear relationship between two random variablesd.All of the above
Question
Which of the following are measured by correlation coefficienta.Linear association between two random variablesb.Direction of relationship between two variables (positive or negative association)c.A unit free value for the strength of linear relationship between two random variablesd.All of the above
Solution
d. All of the above
The correlation coefficient measures all of the following:
a. Linear association between two random variables: The correlation coefficient quantifies the degree to which two variables are related to each other in a linear manner.
b. Direction of relationship between two variables (positive or negative association): The sign of the correlation coefficient indicates the direction of the relationship. If it's positive, it means the variables increase together, and if it's negative, it means that as one variable increases, the other decreases.
c. A unit free value for the strength of linear relationship between two random variables: The correlation coefficient is a dimensionless index that ranges from -1 to 1 inclusive, which reflects the extent of a linear relationship between two data sets.
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