Question

A researcher collects the following information for two variables x and y:
 n = 20, r = 0.5, mean (x) = 15, mean (y) = 20, σx = 4 and σy = 5
 Later it was found that one pair of values (x, y) has been wrongly taken as (16, 30) whereas the correct values were (26, 35). Find the correct value of r(x, y).

04 Feb 2023
Answer :
Word Count : 474

Given ,

n =20

r =0.5

mean x = x̄ =15

mean y = ȳ = 20

6 x = 4

6 y = 5

 herefore X =frac{sum X}{n}

 ightarrow 15 =frac{sum X}{20}

 

2). 

   sum X

=300

sigma _{x}^{2} =frac{1}{n} sum left ( X -Y ight )^{2}

=frac{1}{n} sum X^{2} - X^{2}

Rightarrow n sigma _{x}^{2} = sum X^{2} -n X ^{2}

Rightarrow sum X ^{2} = n left (sigma _{x}^{2}  __________ ______ ___ ________ __________ _________ __________ _______ _______ ___.<br> __________ _______ ________ ___ ___ ____ ____ ____ ___.<br> ______ ____ __________ ________ _________ ___ _______ _______.<br> ____ ___ ____ _________ ___ _______ ______ ________ _________ _______ ______ ______.<br> ___ _______ _________ ______ ________ ________ _______ __________ ________ __________ ____ ____.<br> __________ _________ ______ ______ __________ _______ _____ _____ __________ _______.<br> __________ _______ __________ ____ _________.<br> _________ _____ ____ _________ ________ _________ ________ ___ _______ ______ ________ ________.<br> _______ __________ ______ ______ _________ ___ _____ _______.<br> ____ _________ ___ _______ _______ _________ _____ ________ ________ ___ ___ _________.<br> ______ _________ __________ _________ ____ _______ _____ _____ ________ ______ ____ ______.<br> ___ ______ ____ ______ ___ ____ ____ ____ ________ ______ _________.<br> __________ ______ ____ _____ ______ _________ ________.<br> ______ ___ ____ ____ __________ ______ __________ ________ _____ ________ ____ ______.<br> _________ ______ ______ _____ _____ __________ _________ _____ ______ _________ ________.<br> __________ ____ __________ _______ _________ __________ _____ _______ _________ _________ __________ _________.<br> ___ ___ ________ _____ ___ _______ ________ _________ ____ ________.<br> __________ ______ _____ _______ ______ _______ _________ _____.<br> ________ ____ _________ _________ __________ _____ ___ _____ _______ __________ ___.<br> ____ ______ ________ _______ ________ ____ ___ ________ ___.<br> _________ _________ ___ __________ __________ _____ ___ _____ _____ _______ ______ _______.<br> ______ ___ _________ ________ ___ __________ ______ __________ ______ ___ ___.<br> ________ ______ ______ ____ ___ _________ ____ ________ __________ _______ ____.<br> ___ ___ ________ ____ ________ __________ ______ _______.<br> ______ ______ __________ _________ __________ _____ _______ ________ ______.<br> _____ _______ ________ ______ ______ ________ ____.<br> __________ _________ __________ _____ ____.<br> __________ ___ ____ ______ _______ ____ __________ ________ __________.<br> ______ __________ _______ _________ ____ __________ _______ _____ ___ ______ _______.<br> ______ __________ ____ _______ _________ _______ _________ __________ _______ ___.<br> ________ ____ _______ ________ ___ ________ __________.<br> ________ ________ _________ _______ ________ ________ ___ ___ ________.<br> _____ _____ ___ ___ _____.<br> _______ __________ _______ __________ ____ _______.<br> ______ ___ _______ _________ ___ ___ ________.<br> ______ ____ ______ ________ _____.<br> ________ _________ __________ _________ ________.<br> ____ __________ _____ _____ _______ ____ _________ _________.<br> ______ _______ ________ __________ ________ __________ _____ ____ _____ __________ ____ _____.<br> ________ ________ _____ ________ ______ _______ ___ ___ _____ _____ __________.<br> _____ ______ ____ ____ _____ ____ ______ ____ _______.<br> _______ __________.<br><a class=Get Full Answer on WhatsApp

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