about project cyclic model analysis on sequential patterns

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It is a shopping project. In this project we are calculating the time difference in periodical item sets (if an item a is brought & after 3 days item b is brought then we calculate the all time difference of such periodicity). In my project paper there are 4 algorithms are there Trend Distribution function, Generalized periodicity detection, trend modeling & cyclic model analysis. In paper there is a formula f(x)=(24-x)/18*(sin(x)+1.5).(x,f(x)) are coordinates of graph. No much more is given about x&f(x) can you help me what is x & f(x)?

They have also calculated linear regression function y=ax+b. Can anyone help how to calculate it?

Posted 19-Feb-11 2:40am

Member 7685573

Updated 19-Feb-11 2:45am

Henry Minute

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Albin Abel · Answer 1 · 2011-02-19T03:07:00

x an f(x) are the parameters you supposed to know, if speed is one factor then distance traveled would be f(speed). Usally x on the x axis and f(x) on the y axis we plot in a scatter plot. The scatter plot usually not follow a straight line i.e a trend. So we do a regression to make a curve fit. The formula you given is a linear regression formula. But I wonder as you have a sin component in your formula, it follows a linear relationship.

Confirm it. If you want algorithm for linear or polynomial regression, that i can give. But better try it yourself and comeback if any doubts. There are lot of free library/ sample code available for these regressions.