Answer:
a at c place 45 degree b at a place 45 dgree cat b place 90 degree
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:
1,863
Step-by-step explanation:
Answer:
Step-by-step explanation:
The shape of this graph is that of a parabola. In this case the parabola opens down. The general form of the equation of such a parabola is
y = a(x - h)^2 + k, where (h, k) is the vertex and a is a coefficient to be determined.
In this particular case we can obtain the coordinates of the vertex (h, k) from the graph. They are (3, 4). Thus, h = 3 and k = 4. The graph goes through (1.5, 0). Use this information to determine the value of the coefficient a:
Then the equation of this parabola must be y = a(x - 3)^2 + 4.
0 = a(1.5 - 3)^2 + 4
Then:
0 = a(-1.5)^2 + 4, or
0 = 2.25a + 4, or
2.25a = -4, or
a = 16/9
Thus, the final result: The equation of this parabola is
y = (16/9)(x - 3)^2 + 4
whose graph is a parabola that opens down and has vertex (3, 4).
The interior angel of 7 will be angel 4
∠7 + ∠4 = 180°
