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Question

Assertion :If lines of regressions are 8x10y+66=0 & 40x18y214=0, then ¯x=13 & ¯y=17. Reason: Regression lines pass through ¯x & ¯y, where ¯x & ¯y are mean .

A
Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.
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B
Both Assertion & Reason are individually true but Reason is not the correct (proper) explanation of Assertion.
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C
Assertion is true Reason is false.
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D
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.
Regression lines pass through ¯x,¯y
8¯x10¯y+66=0 .....( i )
& 40¯x18¯y214=0 .......( ii )
Solving (i) & (ii) we get ¯x=13 and ¯y=17
Assertion (A) & Reason (R) both are correct & Reason (R) is correct explanation of Assertion (A).

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