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If $4 x-5 y+3 ?$ $0 x-9 y=107$ are two lines of
regression, then what are the values of $\overline{\mathrm{x}}$ and $\overline{\mathrm{v}}$
respectively? $\quad$
Options:
regression, then what are the values of $\overline{\mathrm{x}}$ and $\overline{\mathrm{v}}$
respectively? $\quad$
Solution:
2245 Upvotes
Verified Answer
The correct answer is:
13 and 17
$4 \mathrm{x}-5 \mathrm{y}+33=0$
$20 \mathrm{x}-9 \mathrm{y}=107$
$20 x-25 y+165=0$
$(1) \times 5 \Rightarrow \quad 20 x-9 y-107=0$
$(2) \Rightarrow \frac{y-(+)(+)}{-16 \mathrm{y}+272=0} \Rightarrow 16 \mathrm{y}=272 \Rightarrow \mathrm{y}=17$
$(1) \Rightarrow 4 x-5(17)+33=0$
$\Rightarrow 4 x-85+33=0$
$\Rightarrow 4 x=52 \Rightarrow x=13$
$20 \mathrm{x}-9 \mathrm{y}=107$
$20 x-25 y+165=0$
$(1) \times 5 \Rightarrow \quad 20 x-9 y-107=0$
$(2) \Rightarrow \frac{y-(+)(+)}{-16 \mathrm{y}+272=0} \Rightarrow 16 \mathrm{y}=272 \Rightarrow \mathrm{y}=17$
$(1) \Rightarrow 4 x-5(17)+33=0$
$\Rightarrow 4 x-85+33=0$
$\Rightarrow 4 x=52 \Rightarrow x=13$
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