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

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.

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