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AMU MCA Correlation And Regression PYQ


AMU MCA PYQ
Coefficient of correlation is equal to





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2020 PYQ

Solution

Correlation coefficient $r=\pm\sqrt{b_{xy}b_{yx}}$

Hence it is geometric mean of two regression coefficients.


AMU MCA PYQ
The relationship between the standardized and non-standardized regression coefficients is:






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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2020 PYQ

Solution

Solution:

Standardized regression coefficient:

$\beta = b \left(\frac{S_x}{S_y}\right)$


AMU MCA PYQ
Given regression equations: $8X-10Y+66=0$ $40X-18Y=214$ Find correlation coefficient $r$.





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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2021 PYQ

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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