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rosijanka [135]
1 year ago
15

Use the following table for questions 11-13.A baseball manager believes a linear relationship exists between the number of Home

Runs a player hits andthe number of times the player strikes out. The following data is for his eight starting players.9Home RunsStrikeouts66111 32 43 29 21 1674 162 238 159 125 101I7511. Write a regression equation for the data above. (MD1)a) y=4.6x + 28.26 b) y=28.26X+4.6

Mathematics
1 answer:
slamgirl [31]1 year ago
7 0

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

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

Where byx is given by the formula:

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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lakkis [162]

Answer:

GH = 7\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} }

sin45° = \frac{opposite}{hypotenuse} = \frac{HI}{GH} = \frac{7}{GH} = \frac{1}{\sqrt{2} } ( cross- multiply )

GH = 7\sqrt{2}

5 0
3 years ago
(3 × 6) + 4 = 8 + 4 + 32
Sedbober [7]

Answer:

d. false, (3 × 6) + 4 < 8 + 4 + 32

Step-by-step explanation:

We want to determine whether, (3 × 6) + 4 = 8 + 4 + 32 is a true or false statement.

Let us first of all simplify the LHS of given expresion to get:

(3 × 6) + 4 = 18+4=22

The RHS is 8+4+32=12+32=44.

We can see that the LHS is less than RHS.

The correct answer is

d. false, (3 × 6) + 4 < 8 + 4 + 32

4 0
3 years ago
Please help asap 20 pts
expeople1 [14]
B. If you were to solve for x, the values would be x=1.5275 and x=-1.5275.
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3 years ago
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Describe and correct the error in finding the difference of the polynomials
levacccp [35]

Answer:

4x+11 is the answer.

Step-by-step explanation:

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=(11-x)-(-5x)

=11-x+5x

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3 years ago
In the diagram, m∠COE = 55°. If m∠2 = 2x and m∠3 = x + 10, what is the measure of angle 2?
Dmitry_Shevchenko [17]
Thank you for posting your question here at brainly. The answer to the above question is the first one in the choices which is 15. Below is the solution:
<span>
3x + 10 = 55
Subtract 10 from each side...

3x = 45
Divide by 3...

x = 15</span>
5 0
3 years ago
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