Residuals should either be all positive or all negative. true or false?

Mathematics

2 answers:

djyliett [7]3 years ago

7 0

Answer : false
you can have both positive and negative residuals

Kisachek [45]3 years ago

7 0

Answer
False
You can have both positive and negative

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rewona [7]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
S(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad
T(\stackrel{x_2}{0}~,~\stackrel{y_2}{3})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
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\left( \cfrac{0+x}{2}~~,~~\cfrac{3+y}{2} \right)=\stackrel{midpoint}{(5,-8)}\implies
\begin{cases}
\cfrac{0+x}{2}=5\\[0.8em]
\boxed{x=10}\\[-0.5em]
\hrulefill\\
\cfrac{3+y}{2}=-8\\[0.8em]
3+y=-16\\
\boxed{y=-19}
\end{cases}$