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

• andrey21

#### 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

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

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.

Any more opinions?

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.

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?