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hoa [83]
3 years ago
5

Which ordered pair is not a solution of y= -4x - 9 ?

Mathematics
1 answer:
____ [38]3 years ago
6 0
y=-4x-9 \\ \\
(x,y)=(-9,27) \\
27=-4 \times (-9)-9 \\
27=36-9 \\
27=27 \\
true \\ \\
(x,y)=(3,-21) \\
-21=-4 \times 3-9 \\
-21=-12-9 \\
-21=-21 \\
true

(x,y)=(-6,15) \\
15=-4 \times (-6)-9 \\
15=24-9 \\
15=15 \\
true \\ \\
(x,y)=(5,-28) \\
-28=-4 \times 5-9 \\
-28=-20-9 \\
-28=-29 \\
not \ true

D. (5,-28) is not a solution of y=-4x-9.
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Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

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And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

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