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# System prepended metadata

title: ASSIGNMENT 3

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# ASSIGNMENT 3
## ME 649A

Q.1 Write a code to fit a cubic polynomial using least square method, plot residuals and comment on result for the given data:
> [name=asaurabh] they don't have to do it in matlab. also you should ask about residuals and comment on whether the fit is acceptable 


| **X**  | **2**   |**3**   | **5**   | **8**   | **9**   | **12**  | **17**  |
| --- | --- | --- | --- | --- | --- | --- | --- |
| **Y**   | **5**   | **7**   | **9**   | **14**  | **17**  | **19**  | **25**  |

Q.2 Generate a sinusoidal signal with amplitude of $0.9$ and frequency of 100Hz for $2sec$ embedded with the Gaussian noise of zero mean and $5$ as standard deviation.Using fft, determine the power spectrum and also minimum and maximum frequency involved. Take a sampling frequency of $5$kHz, $7$kHz and $9$kHz.Comment on result.
> [name=asaurabh] signal frequency? put that together with amplitude. also you can tell them to have different sampling frequencies. What type of Gaussian noise? the minimum maximum is not clear?




