Question

A researcher conducts an experiment to establish a relationship between a chess player's mental stability and his performance in a game. He finds that the two have a Pearson product-moment correlation coefficient value of +1.00. This means the two variables—mental stability and performance—have a _____ relationship.

Answer 1

If the value of the correlation coefficient is +1, then the mental stability and performance have a positive linear relationship.

Step-by-step explanation:

Correlation coefficient is the measure of the strength of association between the two given variables.

Pearson product-moment correlation coefficient is a type of correlation coefficient which is the measure of the strength of linear association between the variables which is measured on a ratio scale or interval.

This correlation coefficient value ranges from -1 to +1.

Therefore, the greater the value of the Pearson product-moment correlation coefficient, stronger is the linear relationship between the variables.

Therefore, if the value of the correlation coefficient is +1, then the mental stability and performance have a positive linear relationship.