Answer:
slope= -2
Step-by-step explanation:
Answer:
-2 x^2 (x - 3) thus the answer is c:)
Step-by-step explanation:
Factor the following:
6 x^2 - 2 x^3
Factor -2 x^2 out of 6 x^2 - 2 x^3:
Answer: -2 x^2 (x - 3)
Answer:
The sample correlation coefficient is, <em>r</em> = 0.8722.
The equation of the least-squares line is:

Step-by-step explanation:
(a)
The scatter diagram displaying the data for <em>X </em>: total number of jobs in a given neighborhood and <em>Y</em> : number of entry-level jobs in the same neighborhood is shown below.
(b)
The table attached below verifies the values of
.
The sample correlation coefficient is:
![\begin{aligned}r~&=~\frac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}} {\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}} \\r~&=~\frac{ 6 \cdot 1163 - 201 \cdot 30 } {\sqrt{\left[ 6 \cdot 7759 - 201^2 \right] \cdot \left[ 6 \cdot 182 - 30^2 \right] }} \approx 0.8722\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dr~%26%3D~%5Cfrac%7Bn%5Ccdot%5Csum%7BXY%7D%20-%20%5Csum%7BX%7D%5Ccdot%5Csum%7BY%7D%7D%09%09%09%09%09%09%09%09%09%7B%5Csqrt%7B%5Cleft%5Bn%20%5Csum%7BX%5E2%7D-%5Cleft%28%5Csum%7BX%7D%5Cright%29%5E2%5Cright%5D%20%5Ccdot%20%5Cleft%5Bn%20%5Csum%7BY%5E2%7D-%5Cleft%28%5Csum%7BY%7D%5Cright%29%5E2%5Cright%5D%7D%7D%20%5C%5Cr~%26%3D~%5Cfrac%7B%206%20%5Ccdot%201163%20-%20201%20%5Ccdot%2030%20%7D%09%09%09%09%09%09%09%09%09%7B%5Csqrt%7B%5Cleft%5B%206%20%5Ccdot%207759%20-%20201%5E2%20%5Cright%5D%20%5Ccdot%20%5Cleft%5B%206%20%5Ccdot%20182%20-%2030%5E2%20%5Cright%5D%20%7D%7D%20%5Capprox%200.8722%5Cend%7Baligned%7D)
Thus, the sample correlation coefficient is, <em>r</em> = 0.8722.
(c)
The slope and intercept are:

The equation of the least-squares line is:

(d)
The least-squares line is graphed in the diagram below.
Triangle ABC is similar to triangle DEF because all triangles have 180 degrees. When you subtract 180 by 30, you get 150. When you subtract 150 by 6<span>4</span>, you get 86. Therefore, the triangles are the same.
Answer:
Your answer is B) B and D.
Step-by-step explanation:
If you look at the point (1,4), only two lines go through it.
Lines B and Lines D pass through points (1,4)