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jasenka [17]
3 years ago
5

What equation, in point-slope form, matches the graphed line shown? Question 3 options: y−5=−23(x+9) y−2=−34(x−6) y+6=45(x+3) y−

6=45(x−2)

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Step-by-step explanation:

the line passes through (6, 2) and (10, -1),

the slope =

(-1-2)/(10-6) = -3/4

the equation :

y-2 = -3/4(x -6)

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The linear regression equation that represents  the set of data is:

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Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

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<em>x</em> = independent variable

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Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

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