Question
If the variance of x=9 and regression equations are 4x-5y+33=0 and 20x-9y-10=0, then the coefficient of correlation between x and y and the variance of y respectively are
- 0.6; 16
- 0.16; 16
- 0.3; 4
- 0.6; 4
The correct answer is: 0.6; 16
, (given)
The given lines of regression are
i.e., 
and 
From here, we obtain 
and 
Now 
Þ 
and 
Þ 
i.e., 
Now, 
Hence coefficient of correlation = 0.6 and variance of 
.
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