7/24/2019 Exercise No. 6 Numerical Methods

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NUMERICAL METHODS

EXERCISE NO. 6

I. Calculate the linear least squares fit for the following data. Graph the data and the least

squares fit.

xi yi xi yi xi yi

0 1.466 1.2 1.068 2.4 4.148

0.3 0.062 1.5 1.944 2.7 4.464

0.6 0.492 1.8 2.583 3.0 5.185

0.9 0.822 2.1 3.239

where: = last two digits of your student no. 100

II. Do a quadratic least squares polynomial fit for the following data. Plot the data and the least

squares fit.

xi yi xi yi xi yi xi yi xi yi

1 71.658 5 67.385 9 63.210 13 66.993 17 70.804

2 70.346 6 66.103 10 63.912 14 67.698 18 71.519

3 69.041 7 65.809 11 64.576 15 68.417

4 68.835 8 64.485 12 65.317 16 69.096

where: = last two digits of your student no. 100

III. Estimate the multiple linear regression model for the given data.

where: = last two digits of your student no. 100

x1 x2 x3 y

1.74 5.30 10.80 25.50

6.32 5.42 9.40 31.20

6.22 8.41 7.20 25.90

10.52 4.63 8.50 38.40

1.19 11.60 9.40 18.40

1.22 5.85 9.90 26.70

4.10 6.62 8.00 26.406.32 8.72 9.10 25.90

4.08 4.42 8.70 32.00

4.15 7.60 9.20 25.20

10.15 4.83 9.40 39.70

1.72 3.12 7.60 35.70

1.70 5.30 8.20 26.50