Answer:
A. 0.75
Step-by-step explanation:
The formula for the <em>correlation coefficient</em> r is
![r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}](https://tex.z-dn.net/?f=r%20%3D%5Cfrac%20%7Bn%20%5Csum%7Bxy%7D%20-%20%5Csum%7Bx%7D%5Csum%7By%7D%7D%7B%5Csqrt%7B%5Bn%20%5Csum%7Bx%5E%7B2%7D%7D-%20%28%5Csum%7Bx%7D%29%5E%7B2%7D%7D%5D%5Bn%20%5Csum%7By%5E%7B2%7D%7D-%20%28%5Csum%7By%7D%29%5E%7B2%7D%5D%7D)
It's easier to use a statistical calculator, but this question probably expects you to do it by hand.
Let’s write a table for easy calculation.
<u> x y xy x² y² </u>
15 36 540 225 1296
13 22 286 169 484
12 6 72 144 36
<u>11 20 220 121 400
</u>
51 84 1118 659 2216
(Σx)² = 2601
(Σy)² = 7056
![r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}](https://tex.z-dn.net/?f=r%20%3D%5Cfrac%7B4%5Ctimes1118-51%5Ctimes84%7D%7B%5Csqrt%7B%5B4%5Ctimes659-2601%5D%5B4%5Ctimes2216-7056%5D%7D%7D)
![r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}](https://tex.z-dn.net/?f=r%20%3D%5Cfrac%7B4472-4284%7D%7B%5Csqrt%7B%5B2636-2601%5D%5B8864-7056%5D%7D%7D)



r = 0.747
The graph below shows that there is a poor correlation among the points.
Answer:
D?
(its blurry-
Step-by-step explanation:
![\left[\begin{array}{ccc}22&18\end{array}\right]\times\left[\begin{array}{cccc}5&18&32&40\\25&40&38&12\end{array}\right]\\\\=\left[\begin{array}{cccc}22\cdot5+18\cdot25&22\cdot18+18\cdot40&22\cdot32+18\cdot38&22\cdot40+18\cdot12\end{array}\right]\\\\=\left[\begin{array}{cccc}560&1116&1388&1096\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D22%2618%5Cend%7Barray%7D%5Cright%5D%5Ctimes%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%2618%2632%2640%5C%5C25%2640%2638%2612%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D22%5Ccdot5%2B18%5Ccdot25%2622%5Ccdot18%2B18%5Ccdot40%2622%5Ccdot32%2B18%5Ccdot38%2622%5Ccdot40%2B18%5Ccdot12%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D560%261116%261388%261096%5Cend%7Barray%7D%5Cright%5D)
second question:
January: 32 · 22 + 38 · 18 = 704 + 684 = 1388
December: 18 · 22 + 40 · 18 = 396 + 720 = 1116
1388 - 1116 = 272
Answer: $272.
Answer
7,0
Step-by-step explanation:
Substitute -6y+7 into problem one where the x is
distribute the 2 and subtract the 9 y and you will get
-21y+14=14
subtract 14 from both sides and it will be -21y=0 so y will be 0
substitute the 0 into equation 2 and find x=7