There are two data sets x and y.
X includes = 14 25 19 35 20 12 5
Y includes = 360 293 315 212 315 331 404
to solve for the correlation coefficient, we need to get the following values step by step
Step 1: Find the mean of each set.
The mean of X = 18.571
The mean of Y = 318.571
Step 2: Subtract the mean of X from every value X value
(denote this with letter a). Do the same for y (denote this with letter b).
The mean of X subtracted from every X value (a):
14 - 18.571 = -4.571
25 - 18.571 = 6.429
19 - 18.571 = 0.429
35 - 18.571 = 16.429
20 - 18.571 = 1.429
12 - 18.571 = -6.571
5 - 18.571 = -13.571
The mean of Y subtracted from every value of Y (b):
360 - 318.571 = 41.429
293 - 318.571 = -25.571
315 - 318.571 = -3.571
212 = 318.571 = -106.571
315 - 318.571 = -3.571
331 - 318.571 = 12.429
404 - 318.571 = 85.429
Step 3: Calculate: a *
b, a^2 and b^2 of every value.
For a*b
-189.388
-164.388
-1.531
-1750.816
-5.102
-81.673
-1159.388
Sum: -3352.286
For a²
20.898
41.327
0.184
269.898
2.041
43.184
184.184
Sum: 561.714
For b²
1716.327
653.898
12.755
11357.469
12.755
154.469
7298.041
Sum: 21205.714
Step 4: Solve using this formula
r = ∑a * b / √((a²)(b²))
r = -3352.286 /
√((561.714)(21205.714))
= -0.9713
The correlation coefficient is -0.971
Answer: scroll down to find out :)
Step-by-step explanation:
This isn't a hard equation, so I would just use the points and figure something out.
Some obvious points are (3, 6), (6, 12), and (7, 14). Immediately, we notice that the y coordinate is 2 times the x coordinate.
So, the equation would be y = 2x.
<em>P.S. Let me know if I got it wrong! I'll be more than happy to fix it :)</em>
Answer:
x=12
Step-by-step explanation:
height of tree)/(shadow length of tree) = (height of pole)/(shadow length of pole)
x/26 = 6/13
13x = 26*6
13x = 156
x = 156/13
x = 12
(hope this helps can i plz have brainlist :D hehe)
Answer:133.33%
Step-by-step explanation:
For given change in fractions from 
to 
The initial fraction=
New fraction=
Change in fractions= New fraction-Initial fraction
As change in fraction is positive thus it is an increase.
Answer:
2% per year.
Step-by-step explanation:
Solving our equation
r = 960 / ( 12000 × 4 ) = 0.02
r = 0.02
converting r decimal to a percentage
R = 0.02 * 100 = 2%/year
The interest rate required to
accumulate simple interest of $ 960.00
from a principal of $ 12,000.00
over 4 years is 2% per year.
