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psheet1 - Data Analysis Modelling and Simulation MATH1711...

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Data Analysis Modelling and Simulation MATH1711 Epiphany Term Practical Sheet 1 Aim: To calculate and analyse weighted least-squares approx- imation 1 to a data set . Note before you start: 1. Press Enter at the end of a line to execute the statement. 2. Try to understand what each line in red does, ask the staff or a friend if you don’t. 3. Once you have pressed the Enter key MAPLE will always remember the statement. restart; erases the memory. 4. Other hints/tips can be found on the zeroth sheet 5. There is a point to everything, to reinforce and support what was done in lectures/problems classes. Ask yourself “what is the point of doing this?”, typically the answer is positive! Find the linear least-squares fit to the data below where an equal weight has been assigned to each point x i 0 1 2 3 4 y i 1.7190 0.0470 - 0.8211 - 2.3207 - 3.5653 . Investigate the behaviour when different weights are chosen. 2 Try the worksheet on various sets of data, for example question 1 from the problem sheet: 1 See your lecture notes for the “normal equations” 2 Start by changing only one value, make it big then small, then two, then play some more. Remember
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