AMU MCA Correlation And Regression Previous Year Questions (PYQs)
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Showing 3 questions
Coefficient of correlation is equal to
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Solution
Correlation coefficient $r=\pm\sqrt{b_{xy}b_{yx}}$
Hence it is geometric mean of two regression coefficients.
The relationship between the standardized and non-standardized regression coefficients is:
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Solution
Solution:
Standardized regression coefficient:
$\beta = b \left(\frac{S_x}{S_y}\right)$
Given regression equations:
$8X-10Y+66=0$
$40X-18Y=214$
Find correlation coefficient $r$.
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Solution
Slope from first equation:
$Y=\frac{8}{10}X+\text{const}$
Slope from second:
$X=\frac{18}{40}Y+\text{const}$
Product of regression coefficients:
$r^2=\frac{8}{10}\cdot\frac{18}{40}$
$=\frac{144}{400}=0.36$
$r=0.6$
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