134k views
3 votes
The variable used to show correlation is r, which is also known as the correlation coefficient.

True or False?

User Morgs
by
6.0k points

2 Answers

2 votes
It is known as the correlation coefficient, the variable r is always between +1 and -1.
User ThomasEdwin
by
6.2k points
4 votes

Answer:

True

Explanation:

The correlation coefficient denoted by r is a measure of association between the two variables.

It is calculated as the ratio of covariance of (x,y) divided by std dev X * std dev Y

r lies between -1 and 1

The extreme cases -1 and 1 represent that the variables are strictly negatively and positively related respectively in linear relation

Perfect linearity is denoted by r taking values exactly equal to 1 or-1

r=0 implies the two variables are independent or there is no association

Hence r nearer to 1 or-1 represent stronger linear correlation and nearer to 0 represent weak correlation

User Pat Hermens
by
5.8k points