The Correlation coefficient is r = -0.992324879
Step-by-step explanation:
The figure shown is the calculation of all data
Given data :
X y
1 42.2
2 42.14
3 39.38
4 38.22
5 37.46
6 35.2
7 30.24
8 29.38
9 25.92
10 24.86
11 24.8
12 21.04
13 20.98
14 15.42
15 15.46
16 13.4
<em>Step1:</em> Find X mean, Y mean
Mean =
X mean =
X mean = 8.5
Similarly, we get
Y mean =
Y mean = 28.50625
<em>Step2: </em>Find Standard deviation
Standard deviation =
Sx =
Sx= 4.760952286
Similarly, we get
Sy= 9.765590527
<em>Step3: </em>Find Correlation coefficient
The formula for the Correlation coefficient is given as
Thus, The Correlation coefficient is r = -0.992324879
Answers:
Scale Factor = 3/4
This is a <u>reduction</u>
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Explanation:
Let's focus on the point R(4,4). That's the preimage point for the image of R ' (3,3).
Let k be the scale factor. We multiply this value of k by the x,y coordinates of point R to jump to R '
we have x = 4 jump to 4k which is the x coordinate of point R'
So we set 4k equal to 3 and solve for k to get k = 3/4. The scale factor is 3/4 or 0.75
We have a reduction since the image triangle T'R'S' is smaller compared to the preimage triangle TRS. We can see that we have a reduction by looking at the scale factor. If 0 < k < 1, then we have a reduction. If k > 1, then we have an enlargement instead. So we go with the first option since 0 < 3/4 < 1 or you could say 0 < 0.75 < 1.
Answer:
this is your answer of your question look it once
The total length is 72 feet long
Answer:
£910
Step-by-step explanation:
let 3x and 7x be the initial amounts in their accounts, then after alterations
Terry has 3x + 220
Faye has 7x - 300
After these changes the amounts are equal, hence
7x - 300 = 3x + 220 ( subtract 3x from both sides )
4x - 300 = 220 ( add 300 to both sides )
4x = 520 ( divide both sides by 4 )
x = 130
Faye initially had 7 × £130 = £910 in her account