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Nezavi [6.7K]
3 years ago
9

What equation could be written for this table?

Mathematics
1 answer:
alexgriva [62]3 years ago
7 0

9514 1404 393

Answer:

  your answer choice is correct

Step-by-step explanation:

The point (0, 3) tells you the y-intercept is 3, eliminating the 2nd and 4th choices.

The table value 3 1/2 for x=1 tells you the slope is 1/2, eliminating the 3rd choice. (y differs by 1/2 when x differs by 1)

The 1st choice is the one that works.

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Answer:

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Step-by-step explanation:

for (x,23), 23=0.5x+15

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slamgirl [31]

The regression equation of Y on X is given by the following formula:

Y-\bar{Y}=b_{yx}(X-\bar{X})

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b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}

Now, the average of X and Y is the sum divided by N, then:

\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}

Replace these values in the formula and find the regression equation as follows:

\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}

The answer is a) y=4.6x+28.26

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2 years ago
Describe one way to find the area of the figure below, given the dimensions. Solve for a challenge
tigry1 [53]

Answer:

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Step-by-step explanation:

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