Answer:
Check the explanation
Step-by-step explanation:
Following table shows the calculations:
Delta, X Southwest , Y X^2 Y^2 XY
45.96 38.76 2112.3216 1502.3376 1781.4096
46.8 45.41 2190.24 2062.0681 2125.188
47.93 15.7 2297.2849 246.49 752.501
51.78 49.58 2681.1684 2458.1764 2567.2524
52.17 44.34 2721.7089 1966.0356 2313.2178
47.36 18 2242.9696 324 852.48
Total 292 211.79 14245.6934 8559.1077 10392.0488
Sample size: n =6
Now
![S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27](https://tex.z-dn.net/?f=S_%7Byy%7D%3D%5Csum%20y%5E%7B2%7D-%5Cfrac%7B%5Cleft%20%28%5Csum%20y%20%5Cright%20%29%5E%7B2%7D%7D%7Bn%7D%3D1083.27)
![S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03](https://tex.z-dn.net/?f=S_%7Bxx%7D%3D%5Csum%20x%5E%7B2%7D-%5Cfrac%7B%5Cleft%20%28%5Csum%20x%20%5Cright%20%29%5E%7B2%7D%7D%7Bn%7D%3D35.03)
![S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94](https://tex.z-dn.net/?f=S_%7Bxy%7D%3D%5Csum%20xy-%5Cfrac%7B%5Cleft%20%28%5Csum%20x%20%5Cright%20%29%5Cleft%20%28%5Csum%20y%20%5Cright%20%29%7D%7Bn%7D%3D84.94)
The coefficient of correlation is :
![r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436](https://tex.z-dn.net/?f=r%3D%5Cfrac%7BS_%7Bxy%7D%7D%7B%5Csqrt%7BS_%7Bxx%7DS_%7Byy%7D%7D%7D%3D0.436)
Answer:
28.4
Step-by-step explanation:
Given that:
Mean, m = 31.3
Standard deviation, s = 2.8
Since, data is normally distributed :
P(x < 0.15) gives a Z value of - 1.036
Using the Zscore formula :
Z = (x - mean) / standard deviation
-1.036 = (x - 31.3) / 2.8
-1.036 * 2.8 = x - 31.3
-2.9008 = x - 31.3
-2.9008 + 31.3 = x
28.3992 = x
The temperature which correlates to the bottom 15% of the distribution is 28.4
3,-2 is the right answer i think
12 ×4^4/4^2
=12×4^2
=12×16
=192
A conjecture is like a guess, opinion, or conclusion that is based off of incomplete information.
Hope this helps!
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