Use least squares regression to fit polynomials of order 1, 3 and 5 to the data given in table. Compute the correlation coefficient for each fit (Use Gauss elimination with partial pivoting in the solution of linear equation systems). Plot 1st, 3rd, and 5th order polynomial fits and the given discrete data. Comment on which of these curves explain better the variability of given data. xi yi -1.00618 -0.50212 -0.9457 -0.55886 -0.83748 -0.73497 -0.70018 -0.78201 -0.60838 -0.76401 -0.45486 -0.73944 -0.43177 -0.71752 -0.30001 -0.51484 -0.15028 -0.4206 -0.08273 -0.25697 -0.04579 -0.09099 0.142306 0.226821 0.180491 0.377523 0.305722 0.474654 0.42359 0.602706 0.464966 0.77508 0.598916 0.787781 0.675807 0.688962 0.810735 0.651689 0.915424 0.549357 1.040305 0.515353
Use least squares regression to fit polynomials of order 1, 3 and 5 to the data given in table. Compute the correlation coefficient for each fit (Use Gauss elimination with partial pivoting in the solution of linear equation systems). Plot 1st, 3rd, and 5th order polynomial fits and the given discrete data. Comment on which of these curves explain better the variability of given data. xi yi -1.00618 -0.50212 -0.9457 -0.55886 -0.83748 -0.73497 -0.70018 -0.78201 -0.60838 -0.76401 -0.45486 -0.73944 -0.43177 -0.71752 -0.30001 -0.51484 -0.15028 -0.4206 -0.08273 -0.25697 -0.04579 -0.09099 0.142306 0.226821 0.180491 0.377523 0.305722 0.474654 0.42359 0.602706 0.464966 0.77508 0.598916 0.787781 0.675807 0.688962 0.810735 0.651689 0.915424 0.549357 1.040305 0.515353
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
Use least squares regression to fit polynomials of order 1, 3 and 5 to the data given in table. Compute the correlation coefficient for each fit (Use Gauss elimination with partial pivoting in the solution of linear equation systems). Plot 1st, 3rd, and 5th order polynomial fits and the given discrete data. Comment on which of these curves explain better the variability of given data.
|
xi |
yi |
|
-1.00618 |
-0.50212 |
|
-0.9457 |
-0.55886 |
|
-0.83748 |
-0.73497 |
|
-0.70018 |
-0.78201 |
|
-0.60838 |
-0.76401 |
|
-0.45486 |
-0.73944 |
|
-0.43177 |
-0.71752 |
|
-0.30001 |
-0.51484 |
|
-0.15028 |
-0.4206 |
|
-0.08273 |
-0.25697 |
|
-0.04579 |
-0.09099 |
|
0.142306 |
0.226821 |
|
0.180491 |
0.377523 |
|
0.305722 |
0.474654 |
|
0.42359 |
0.602706 |
|
0.464966 |
0.77508 |
|
0.598916 |
0.787781 |
|
0.675807 |
0.688962 |
|
0.810735 |
0.651689 |
|
0.915424 |
0.549357 |
|
1.040305 |
0.515353 |
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