Given that 221 base X=25 base 10

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

slamgirl [31]

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

7 0

2 years ago

5 x 10^-4 + 9.5 x 10^-4

Basile [38]

Answer:

290

Step-by-step explanation:

I ask google it says 290

4 0

3 years ago

They will build another fence that is 48 feet long. The posts can be a minimum of 5 feet apart and a maximum of 9 feet apart. Th

lozanna [386]

6 posts at 8 feet apart because 8 goes into 48 equally and you get 6. 48/8=6

Hope this helps!

4 0

3 years ago

What is 54 percent as a fraction in simplest form

atroni [7]

54% is 54 out of 100.
There for the numerator is 54 and the denominator is 100.

$\frac{54}{100}$

Now, both the top and the bottom can be divided by 2. So:

$\frac{54~divided~by~2}{100~divided~by~2}$ = $\frac{27}{50}$

$\frac{27}{50}$ can't be simplified anymore, therefore, 27/50 is 54% as a fraction.

~Hope this helped :)

6 0

3 years ago

Read 2 more answers

The cost of the tank and filter system is $280. The base of the tank is a square with a perimeter of 60 inches what is the side

Kaylis [27]

Answer:

The side length of of the base of the tank is 15 inches.

Step-by-step explanation:

We are given the following in the question:

Cost of the tank and filter system = $280

Perimeter of tank base = 60 inches

The perimeter of tank is in the shape of square.

We have to find the side length of the base of the tank.

Perimeter of tank base = Perimeter of square =

$P = 4a\\\text{where a is the side of square}\\60 = 4a\\\Rightarrow a = 15\text{ inches}$

Thus, the side length of of the base of the tank is 15 inches.

4 0

4 years ago