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Data Analysis Modelling and Simulation MATH1711
Epiphany Term
Practical Sheet 1
Aim: To calculate and analyse weighted leastsquares 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 leastsquares 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
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This note was uploaded on 02/04/2011 for the course MATH 1711 taught by Professor Dru.picchini during the Spring '11 term at Durham.
 Spring '11
 DrU.Picchini
 Approximation

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