Q3.) In an experiment, the following reading were recorded: Xi yi 3.6 9.3 4.8 10.2 7.2 11.5 6.1 13.2 6.9 10.7 18.6 12 7.9 10.8 9.5 22.7 5.4 12.7 1-Derive the normalized equations for this reading if (y = a + bx) by LSA method. 2- Determine the best fitting of reading (theoretical values of y). 3- Estimate the value of y at x=2.5 Note: In solution of this question, approximate to three decimal digits (at maximum) only after the point.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q3.) In an experiment, the following reading were recorded:
Xi
Yi
3.6
9.3
4.8
10.2
7.2
11.5
6.9
12
10.7
18.6
6.1
13.2
7.9
10.8
9.5
22.7
5.4
12.7
1- Derive the normalized equations for this reading if (y = a + bx) by LSA method.
2- Determine the best fitting of reading (theoretical values of y).
3- Estimate the value of y at x=2.5
Note: In solution of this question, approximate to three decimal digits (at maximum) only
after the point.
Transcribed Image Text:Q3.) In an experiment, the following reading were recorded: Xi Yi 3.6 9.3 4.8 10.2 7.2 11.5 6.9 12 10.7 18.6 6.1 13.2 7.9 10.8 9.5 22.7 5.4 12.7 1- Derive the normalized equations for this reading if (y = a + bx) by LSA method. 2- Determine the best fitting of reading (theoretical values of y). 3- Estimate the value of y at x=2.5 Note: In solution of this question, approximate to three decimal digits (at maximum) only after the point.
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