Assertion -If rxy i-e- r x-y -0-25- - x-0-1- - y-4- then byx-10 Reason- byx-r- y- x

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Standard X

Mathematics

Probability

Assertion :If...

Question

Assertion :If $r_{x y}$ i.e. $r (x, y) = 0.25, σ_{x} = 0.1, σ_{y} = 4,$ then $b_{y x} = 10$ Reason: $b_{y x} = r \frac{σ_{y}}{σ_{x}}$

Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.

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Both Assertion & Reason are individually true but Reason is not the correct (proper) explanation of Assertion.

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Assertion is true Reason is false.

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Assertion is false Reason is true.

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Solution

The correct option is A Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.
$∵ b_{y x} = r \frac{σ_{y}}{σ_{x}}$
$\Rightarrow b_{y x} = \frac{0.25 \times 4}{0.1} = 10$
Hence Assertion is followed by Reason.

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Assertion :If rxy i.e. r(x,y)=0.25,σx=0.1,σy=4, then byx=10 Reason: byx=rσyσx

The correct option is A Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.∵byx=rσyσx⇒byx=0.25×40.1=10Hence Assertion is followed by Reason.

Assertion :If $r_{x y}$ i.e. $r (x, y) = 0.25, σ_{x} = 0.1, σ_{y} = 4,$ then $b_{y x} = 10$ Reason: $b_{y x} = r \frac{σ_{y}}{σ_{x}}$

The correct option is A Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.
$∵ b_{y x} = r \frac{σ_{y}}{σ_{x}}$
$\Rightarrow b_{y x} = \frac{0.25 \times 4}{0.1} = 10$
Hence Assertion is followed by Reason.