Question

Which of the following statements is true about the correlation coefficient? Multiple Choice

a) A negative correlation coefficient indicates a direct relationship between two quantitative variables.
b) A positive correlation coefficient indicates an indirect relationship between two quantitative variables.
c) A correlation coefficient of zero means that two quantitative variables are not linearly related to each other.
d) The correlation coefficient ranges in value from -3 to +3.

Answer 1

The correlation coefficient is a numeric value ranging from -1 to 1 that indicates the strength and direction of the linear relationship between two quantitative variables.

Step-by-step explanation:

The correlation coefficient is a numeric value ranging from -1 to 1 that indicates the strength and direction of the linear relationship between two quantitative variables.

A positive correlation coefficient indicates a direct relationship, meaning that as one variable increases, the other variable also tends to increase. In contrast, a negative correlation coefficient indicates an indirect relationship, where as one variable increases, the other variable tends to decrease.

A correlation coefficient of zero means that there is no linear relationship between the variables, indicating zero correlation.