Removing the Linear Trend from Data Set with x and y Values

[andrey21]

1. Now I have been given a data set with values for x and y. The question states to remove the linear trend.




Am i right in doing the following:

Plotting the two values against each other on a graph
Establishing a linear trend line equation in the form y =mx + c
Finally substituting values for x back into linear trend equation to give me new values for y??

Any feedback would be great thanks

 

[radou]

Given two points (x1, y1), (x2, y2), what is the equation of the line passing through these points?

 

[andrey21]

Well I have calculated the line to be y = 0.0832x-104.54. This has bin done using Microsoft Excel. Now is the next step I stated above correct to sub values back into get new y values.

 

[andrey21]

Any more opinions?

 

[radou]

Well, if you started out with two points, and if you want a linear interpolation for some other value, then it seems to be a correct approach.

 

[andrey21]

Ok well i have now subtracted the newly established y values from the original data set, so is this a correct method of removing the linear trend?