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For certain bivariate data on 5 pairs of observations given: ∑x = 20, ∑y = 20, ∑x2 = 90, ∑y2 = 90, ∑xy = 76 then bxy = ______. - Mathematics and Statistics

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प्रश्न

For certain bivariate data on 5 pairs of observations given:

∑x = 20, ∑y = 20, ∑x2 = 90, ∑y2 = 90, ∑xy = 76 then bxy = ______.

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उत्तर

∑x = 20, ∑y = 20, ∑x2 = 90, ∑y2 = 90, ∑xy = 76 then bxy = – 0.4.

Explanation:

`barx = (sumx)/n = 20/5` = 4

`bary = (sumy)/n = 20/5` = 4

bxy = `(sumxy - n.barx.bary)/(sumy^2 - n.bary^2)`

= `(76 - 5 xx 4 xx 4)/(90 - 5 xx 4^2)`

= `(76 - 80)/(90 - 80)`

= `(-4)/10`

= – 0.4

bxy = – 0.4

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