Question

Jacob studies the link between listening to music and happiness. He finds that people who listen to music report that they are happier than people who do not listen to music. Which of the following is most likely to be the correlation coefficient between happiness and listening to music?

-1.00

-0.27

0.27

0.00

Answer 1

Answer: 0.27

Explanation: The correlation coefficient refers to a statistical measure used to determine or tell the strength of the relationship between two variables.

The coefficient of correlation usually denoted as R ranges from the value of (-1 to +1) with a correlation coefficient of -1 and +1 denoting a strong negative and strong positive correlation between examined variables respectively. Value of 0 means no correlation exists. The closer the value of the correlation coefficient to (-1 or +1), the stronger the relationship between the two variables.

In the question above 0.27 is the correlation coefficient value which shows relationship between listening to music and happiness.

-1 and - 0.27 means correlation between happiness and not listening to music.

0 means no correlation.