High School

Which of the following correlation coefficients represents the strongest relationship?

A. [tex]r = 0.32[/tex]

B. [tex]r = 0.61[/tex]

C. [tex]r = -0.51[/tex]

Answer :

The correlation coefficient that represents the STRONGEST relationship among the given options is r = 0.61 the correct answer is B. r = 0.61.

A correlation coefficient is a statistical measure that determines the relationship between two variables. The coefficient of correlation, or correlation coefficient, can range from -1 to +1. It is used to show how strong and in which direction a relationship is between two variables. A positive correlation coefficient indicates a direct relationship, while a negative correlation coefficient indicates an inverse relationship.

The correlation coefficient can be classified into three categories based on its value:1. Positive correlation coefficient: A correlation coefficient with a positive value between 0 and +1 indicates a positive correlation. This means that as one variable increases, the other variable increases as well.2. Negative correlation coefficient: A correlation coefficient with a negative value between 0 and -1 indicates a negative correlation. This means that as one variable increases, the other variable decreases.3. No correlation coefficient: A correlation coefficient with a value of 0 indicates no correlation.

This means that there is no relationship between the two variables given. Among the given options, the correlation coefficient r = 0.61 is the strongest as it is positive and closest to +1. So, the correct answer is B. r = 0.61.

To know more about correlation visit:-

https://brainly.com/question/31395656

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