SOLUTION: A data series is given for a periodic process: 0 1 2 3 4 5 6 7 8 9 10 1.7 1.7 2.3 2.9 3.0 3.5 4.0 11.0 9.5 9.7

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Question 1190382: A data series is given for a periodic process:

0 1 2 3 4 5 6 7 8 9 10
1.7 1.7 2.3 2.9 3.0 3.5 4.0 11.0 9.5 9.7 9.9
Please find a linear regression.
Is the use of a linear regression okay?

Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!

Data table:

x 0 1 2 3 4 5 6 7 8 9 10
y 1.7 1.7 2.3 2.9 3 3.5 4 11 9.5 9.7 9.9

which is the same as writing

x y
0 1.7
1 1.7
2 2.3
3 2.9
4 3
5 3.5
6 4
7 11
8 9.5
9 9.7
10 9.9

The linear regression equation is roughly
y = 1.0164x + 0.3

The correlation coefficient is roughly
r = 0.8962

I used the GeoGebra calculator to find the regression equation and correlation coefficient value. I strongly recommend using a calculator rather than do it by hand.
If your teacher requires you to use a formula, then please let me know so I can change my response.

Since r is fairly close to 1, I'd consider this to be strong positive correlation.
A linear model seems to be a good fit.