The value of the correlation is -0.0721 and it is a weak negative correlation
<h3>
How to determine the correlation coefficient?</h3>
The points are given as:
(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)
Enter the above points in a graphing calculator.
From the graphing calculator, we have the following summary:
<u>X Values</u>
- Sum X = 90
- Mean = 18
- ∑(X - Mx)^2 = SSx = 90
<u>Y Values</u>
- Sum Y = 156
- Mean = 31.2
- ∑(Y - My)^2 = SSy = 692.8
<u>X and Y Combined</u>
- N = 5
- ∑(X - Mx)(Y - My) = -18
<u>R Calculation</u>
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
This gives
r = -18 / √((90)(692.8)) = -0.0721
So, the correlation coefficient is -0.0721
The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1
Hence, the correlation is a weak negative correlation
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(x + 1)
As:
(2x + 3)(x + 1) = 2x2 + 2x + 3x + 3
= 2x2 + 5x + 3
Answer:
1
Step-by-step explanation:
(1-x)/x=0
or, 1-x=0
or, -x=-1
or, x=1
The parent function of g(x) = |x - 7| +6 is f(x) = |x|
<h3>How to determine the
parent function?</h3>
The function is given as:
g(x) = |x - 7| +6
The above function is an absolute function, and the parent function is f(x) = |x|
Hence, the parent function of g(x) = |x - 7| +6 is f(x) = |x|
<h3>The reflection</h3>
When f(x) is reflected across the x-axis, we have:
f'(x) = -|x|
When f(x) is reflected across the y-axis, we have:
f'(x) = |x|
<h3>Stretching and Compression</h3>
When f(x) is stretched horizontally by a factor k
g'(x) = |kx|
When f(x) is stretched vertically by a factor k
g'(x) = k|x|
<h3>Horizontal Shift</h3>
When f(x) is shifted horizontally by k units
f'(x) = |x ± k|
<h3>V
ertical Shift</h3>
When f(x) is shifted vertical by k units
f'(x) = |x| ± k
See attachment for the graph of g(x)
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Answer:
i need points bro
Step-by-step explanation: