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RoseWind [281]
3 years ago
9

Consider the graph of the line of best fit, y = 0.5x + 1, and the given data points.

Mathematics
2 answers:
adell [148]3 years ago
8 0

-1 is the answer......

Olenka [21]3 years ago
7 0

Answer:

<em>The residual value when x=2 is </em><em>-1</em>

Step-by-step explanation:

The difference between the observed value of the dependent variable and the predicted value is called the residual (e). Every data point has one residual. Lesser the residual value, better the best fit line is.

Mathematically,

e = y-\hat y

Here from the graph,

the observed value is 2, so y=1

the predicted value is 0.5(2)+1 = 1+1 = 2, so \hat y=2

Putting the values,

e = 1-2=-1

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Hope this helps!

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Determine the standard form of the equation of the line that passes through (-2, 0) and (-8,5)
Naya [18.7K]

Answer:

-5x-6y=10      ←   in standard form

Step-by-step explanation:

The equation of a line in  standard form  is.

Ax+By=C

were

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  • B, C are integers

As the equation in  point-slope form

y-y_1=m\left(x-x_1\right)

where m is the slope and \left(x_1,\:y_1\right)  is a point on the line.  

as

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:0\right),\:\left(x_2,\:y_2\right)=\left(-8,\:5\right)

m=\frac{5-0}{-8-\left(-2\right)}

m=-\frac{5}{6}

using   m=-\frac{5}{6}  and \left(x_1,\:y_1\right)=\left(-2,\:0\right)  then

y-0=-\frac{5}{6}\left(x-\left(-2\right)\right)

-\frac{5}{6}\left(x-\left(-2\right)\right)=y-0

6\left(-\frac{5}{6}\left(x-\left(-2\right)\right)\right)=6y

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-5x-10=6y

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Radius 8.1 cm and height 90 cm
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Answer:

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Step-by-step explanation:

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