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If u = x-ac and v = y-bd, then bxy = ______ - Mathematics and Statistics

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Question

If u = `(x - "a")/"c"` and v = `(y - "b")/"d"`, then bxy = ______ 

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Solution

`"c"/"d"` buv 

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Properties of Regression Coefficients
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Chapter 2.3: Linear Regression - Q.3

RELATED QUESTIONS

For bivariate data. `bar x = 53, bar y = 28, "b"_"YX" = - 1.2, "b"_"XY" = - 0.3` Find estimate of Y for X = 50.


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∑(xi - 70)2 = 2989,    ∑(yi - 60)2 = 476, 

∑(xi - 70)(yi - 60) = 1064

[Given: `sqrt0.7884` = 0.8879]

Obtain

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Mean 25 20
S.D. 4 3

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For certain bivariate data the following information is available.

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If the two regression lines for a bivariate data are 2x = y + 15 (x on y) and 4y = 3x + 25 (y on x), find

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If for a bivariate data, bYX = – 1.2 and bXY = – 0.3, then r = ______


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Choose the correct alternative:

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Choose the correct alternative:

If r = 0.5, σx = 3, σy2 = 16, then bxy = ______


Choose the correct alternative:

Both the regression coefficients cannot exceed 1


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State whether the following statement is True or False:

Regression coefficient of x on y is the slope of regression line of x on y


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The equations of two lines of regression are 3x + 2y – 26 = 0 and 6x + y – 31 = 0. Find variance of x if variance of y is 36


The equations of the two lines of regression are 6x + y − 31 = 0 and 3x + 2y – 26 = 0. Find the value of the correlation coefficient


Mean of x = 53

Mean of y = 28

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a. r = `square`

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`y - square = square (50 - square)`

∴ y = `square`

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∴ byx = `square/square`

∴ r = `square`


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