Question

Assertion :If lines of regressions are $8x-10y+66=0\&40x-18y-214=0$, then $\overline{x}=13\&\overline{y}=17$. Reason: Regression lines pass through $\overline{x}\&\overline{y}$, where $\overline{x}\&\overline{y}$ are mean .

• A. Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.
• B. Both Assertion & Reason are individually true but Reason is not the correct (proper) explanation of Assertion.
• C. Assertion is true Reason is false.
• D. Assertion is false Reason is true.

Answer 1

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

$\because$ Regression lines pass through $\overline{x},\overline{y}$
$\therefore 8\overline{x}-10\overline{y}+66=0$ .....( i )
& $40\overline{x}-18\overline{y}-214=0$ .......( ii )
Solving (i) & (ii) we get $\overline{x}=13and\overline{y}=17$
Assertion (A) & Reason (R) both are correct & Reason (R) is correct explanation of Assertion (A).