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:
- 5
Step-by-step explanation:
The opposite of 7c is - 7c, thus the sum is
7c - 5 + (- 7c)
= 7c - 5 - 7c ← collect like terms
= - 5
Answer:
Second option is the right choice.
Step-by-step explanation:
Divide the second equation by -5 and you'll get the equation same as first equation.
So, it has infinite many solutions.
Answer:
see explanation
Step-by-step explanation:
If ∠ D ≡ ∠ CED then CD ≡ CE
The base angles theorem states that if the sides of a triangle are congruent, that is isosceles triangle the the angles opposite these sides, the base angles, are equal.
Here we are using the converse of base angle theorem (b)
That is if 2 angles are congruent ( base angles ) then the sides opposite these angles are congruent.
Answer:
592
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(8*10+12*10+12*8)=592
