Answer:yellow .
Step-by-step explanation: you’re moving over 2 to the right. Right is positive. Down is negative, and since you’re doing 2 to the right, and down 1, we have (2,-1)
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(s+7) or (s+7)*5
Step-by-step explanation:
Read the question carefully when trying to do these problems. Whenever it states "sum" then you should automatically put the terms behind it (s and 7) together to add them together. This would look like s+7.
Next it says 5 TIMES the sum of the terms therefore you should put s+7 together in parentheses and multiply them by 5 so that you first have the sum of s and 7 in parentheses. This would then look like 5(s+7) or (s+7)*5.
Answer:
200
Step-by-step explanation:
The ratios is 5 to 2 - so if you divide 500/5 = 100 then multiply 2 * 100 (the same rate) to keep the ration intact.
The linear equation in its generic form is:
y-yo = m (x-xo)
In this case we have that the slope is:
m = 300
The ordered pair is:
(xo, yo) = (2, 1400)
Substituting we have:
y-1400 = -300 (x-2)
Rewriting:
y = -300x + 600 + 1400
y = -300x + 2000
Answer:
a linear function that models this scenario is:
y = -300x + 2000
The slope of the line is:
-300
The y-intercept of the line is:
2000
