Answer:
n=9 
And replacing the info we got:
![r=\frac{9(14615)-(530)(243)}{\sqrt{[9(32656) -(530)^2][9(8245) -(243)^2]}}=0.1955](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B9%2814615%29-%28530%29%28243%29%7D%7B%5Csqrt%7B%5B9%2832656%29%20-%28530%29%5E2%5D%5B9%288245%29%20-%28243%29%5E2%5D%7D%7D%3D0.1955)
So then the correlation coefficient would be r =0.1955
Step-by-step explanation:
Data given
Temperature (x) 62 76 50 51 71 46 51 44 79
Growth (y) 36 39 50 13 33 33 17 6 16
Solution
The correlation formula is given by:
![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%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
For our case we have the following sums:
n=9
And replacing the info we got:
So then the correlation coefficient would be r =0.1955
Answer:
A. y + 1 = -2(x-2)
Step-by-step explanation:
point-slope equation is : y - y1 = m (x -x1)
remember m= slope value
the given point is (2, -1) therefore we can substitute the values in:
y + 1 = m(x -2)
now to make sure our answer is complete we will solve for the slope:
looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)
with any two points you can determine a slope.
y2 - y1 / x2 - x1
therefore :
-1 -3 / 2 - 0
-4 / 2 = -2
therefore our m value is -2
this makes the completed point-slope equation:
y + 1 = -2 (x - 2) or A
Answer:8%
Step-by-step explanation:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
