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

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Homework Help Overview

The discussion revolves around the process of removing a linear trend from a data set consisting of x and y values. Participants are exploring methods to establish a linear relationship and subsequently adjust the y values based on this trend.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss plotting data points, establishing a linear trend line, and substituting values back into the trend equation. There are inquiries about the correctness of these steps and the method of subtracting new y values from the original data set.

Discussion Status

The conversation includes various attempts to clarify the steps involved in removing the linear trend. Some participants provide feedback on the approach, while others seek further opinions on the validity of the methods discussed.

Contextual Notes

There is mention of using specific tools like Microsoft Excel for calculations, and the discussion reflects on the implications of starting with two points for establishing a linear equation.

andrey21
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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
 
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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?
 

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