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 9, 9 Please find a linear regression. Is the

Question 1190381: 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(3816) (Show Source): You can put this solution on YOUR website!

The data table seems a bit garbled.
This is what I'm assuming it looks like

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)

You could find the linear regression equation by hand, but it's a tedious process that may take a while.
I strongly recommend using a graphing calculator or computer software. There are many free options online if you don't have a graphing calculator.

Whichever method you use, the linear regression equation is approximately this:
y = -0.0929x + 5.1832

The correlation coefficient (r value) is a similar story to finding the regression equation. It's better to use a calculator.
You should find that r = -0.1004 approximately
Since this is much closer to r = 0 than it is to r = 1, this makes the negative linear correlation fairly weak.
It's not a good idea to use a linear model here.

Because you mentioned the data is periodic, a sine or cosine model would likely provide a better fit.

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