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Choose the correct alternative: y = 5 – 2.8x and x = 3 – 0.5 y be the regression lines, then the value of byx is - Mathematics and Statistics

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Question

Choose the correct alternative:

y = 5 – 2.8x and x = 3 – 0.5 y be the regression lines, then the value of byx is 

Options

  • – 0.5

  • – 2.8

  • 0.5

  • – 2

MCQ
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Solution

– 2

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Chapter 2.3: Linear Regression - Q.1

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∴ `b_(yx)=(sum(x_i-barx)(y_i-bary))/(sum(x_i-barx)^2)=square`

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For a bivariate data `barx = 10`, `bary = 12`, V(X) = 9, σy = 4 and r = 0.6
Estimate y when x = 5

Solution: Line of regression of Y on X is

`"Y" - bary = square ("X" - barx)`

∴ Y − 12 = `r.(σ_y)/(σ_x)("X" - 10)`

∴ Y − 12 = `0.6 xx 4/square ("X" - 10)`

∴ When x = 5

Y − 12 = `square(5 - 10)`

∴ Y − 12 = −4

∴ Y = `square`


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