Question

Sample Co	235.2222
Correl.	0.98925

b (i) Is there a positive or negative relation between the two variables?

b (ii) Is there a strong linear relationship, weak linear relationship or no linear relationship between the two variables?

Answer 1

Solution:

Given:

Sample Co	235.2222
Correl.	0.98925

Part b (i) Is there a positive or negative relation between the two variables?

Value of correlation coefficient is between -1 to +1.

If r is negative , then there is negative relation between the two variables

If r is positive, then there is positive relation between the two variables

Since r = 0.98925 is positive, there is positive relation between the two variables

Part b. (ii) Is there a strong linear relationship, weak linear relationship or no linear relationship between the two variables?

following are the interpretations are for correlation coefficient r :

1) If r = -1 , then there is perfect negative correlation
2) if -1 < r ≤ 0.80 , then there is Strong negative correlation
3) if -0.80 < r ≤ -0.30, then there is moderate negative correlation
4) if -0.30 < r < 0 , then there weak negative correlation
5) if r = 0 , then there no or zero correlation
6) if 0 < r < 0.30 then there is weak positive correlation
7) if 0.30 ≤ r < 0.80 , then there is moderate positive correlation
8) if 0.80 ≤ r < 1 , then there is strong positive correlation
9) If r = 1 , then there is perfect positive correlation

Since r = 0.98925 is very close to +1, thus there is a strong linear relationship