Question

The two regression coefficients are 1.5 and 0.6 and the coefficient of correlation is 0.90. Comment.

Answer 1

Answer:

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Answer 2

Answer:

A small variation in estimated values is noted due to sampling error.

Step-by-step explanation:

• It is given that the $2$ regression coefficients are $1.5,0.6$.

• Also given that the coefficient of correlation is $0.90$.

• These variables are situated between positive x & y variables.
• $81$% variance can be predicted from the independent while the remaining $19$% can be due to some kind of sampling errors.

Now,

$r^{2} =b_{xy}$ × $b_{yx}$

$r^{2} =1.5$ × $0.6$

$r^{2} =0.9$

$r=\sqrt{0.9} \\r=0.948$

$r$ ≈ $0.95$

Thus, we find that due to sampling error, a little difference can be observed in calculated values.