English

State whether the following statement is True or False: Corr(x, x) = 0

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Question

State whether the following statement is True or False:

Corr(x, x) = 0

Options

  • True

  • False

MCQ
True or False
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Solution

False

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Properties of Regression Coefficients
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Chapter 2.3: Linear Regression - Q.2

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From the data of 7 pairs of observations on X and Y, following results are obtained.

∑(xi - 70) = - 35,  ∑(yi - 60) = - 7,

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

∑(xi - 70)(yi - 60) = 1064

[Given: `sqrt0.7884` = 0.8879]

Obtain

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Mean 85 90
S.D. 5 6

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Obtain the two regression lines:

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Mean of y = 28

Regression coefficient of y on x = – 1.2

Regression coefficient of x on y = – 0.3

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`x - square = square (25 - square)`

∴ x = `square`


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