MatLab Create a function that calculates the coefficients of the least-squares regression for a 2nd order polynomial. Use LU Decomposition to find the coefficients.  The function should have: Input: X and Y Output: a_0, a_1, a_2, r^2, r. Please test your function on the data below and plot the results. Be sure to save your function and include it in your homework submission!

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MatLab

Create a function that calculates the coefficients of the least-squares regression for a 2nd order polynomial. Use LU Decomposition to find the coefficients.  The function should have:

  • Input: X and Y
  • Output: a_0, a_1, a_2, r^2, r.

Please test your function on the data below and plot the results. Be sure to save your function and include it in your homework submission!

 

6 5 4 3
3 4 5 6 7 8 9
X -9
|-8 -7
|-5 -4 -3
|-2 -1 0
1
2
Y 85 60 45 40 27 18 10 0
2
1
7
8 15 23 33 50 58 81
Transcribed Image Text:6 5 4 3 3 4 5 6 7 8 9 X -9 |-8 -7 |-5 -4 -3 |-2 -1 0 1 2 Y 85 60 45 40 27 18 10 0 2 1 7 8 15 23 33 50 58 81
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