(x-5)^3 expand each binomial

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, wh

kakasveta [241]

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

The regression equation is; $\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}$

The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.

Reasons:

First part;

The given data is presented as follows;

$\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right]$

The least squares regression equation is; $\overline y = b \cdot \overline x + c$

Where;

$b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}$

$\overline y$ = The mean crash fatality = 15.52

$\overline x$ = The mean lemon import = 373.6

Therefore;

$b = \dfrac{-171.36 }{67093.2 } = -0.00255$

c = $\overline y$ - b· $\overline x$ = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

The regression equation is $\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}$

Second part;

When the imports is 425 metric tons of lemon, we have;

$\overline y$ = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

The prediction is worthwhile

Learn more about regression equation here:

brainly.com/question/5586207

8 0

2 years ago

The sum of 2 numbers is 20 their difference is 4 what are the 2 numbers

Alisiya [41]

Answer: 12 and 8

Step-by-step explanation:

Their difference is four while others aren't.

8 0

3 years ago

Read 2 more answers

Write a quadratic function f whose only zero is −10.

Radda [10]

function is: f(x)=(x+10)^2

4 0

3 years ago

If the sine of an acute angle is 3/5, what is the cosine of that angle?

Korvikt [17]

Answer:

The cosine of the angle is 4/5.

Step-by-step explanation:

An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.

For each angle $\alpha$ , we have that:

$\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1$

We have that:

$\sin{\alpha} = \frac{3}{5}$

So

$\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1$

$(\frac{3}{5})^{2} + \cos^{2}{\alpha} = 1$

$\cos^{2}{\alpha} = \frac{16}{25}$

$\cos{\alpha} = \frac{4}{5}$

The cosine of the angle is 4/5.

8 0

3 years ago

M is the midpoint of QR M = (-2,6) Q= (8,-10) R = ????

Zolol [24]

Answer:

R = (-12, 22)

Step-by-step explanation:

Unfortunately it's not a straight line, so gonna need to put in some extra work. Basically think of it like breaking it into it's horizontal and vertical components then doubling them.

From Q to M you move 10 spaces to the left, so to go from M to R you will go another 10 to the left. Similarly, you start at -10 for the y value and go up 16 to 6, and you will need to go up another 16 to get to R.

So for x, 8 -10 = -2 then -2 - 10 = -12, so R's x value is -12

y we do the same thing. Gonna do it in one step though. -10 + 16 + 16 = 22

So R is (-12, 22)

4 0

3 years ago