Question

When discussing the Pearson correlation coefficient describe what is considered in determining a strong linear relationship? What consideration are necessary when determining if there is a weak linear relationship?

Answer 1

Pearson correlation coefficient assumes that the relationship betwen the two variables is linear. Higher the absolute value of the correlation coefficient (Note that, correlation coefficient value lies between -1 to 1 so if the values is closer to 1 or -1, correlation is high) stronger the relationship.

If the value of the correlation coefficient is low in terms of absolute terms i.e. if the value is close to 0, then the relationship is considered to be weak.