How to resolve the algorithm Polynomial regression step by step in the Stata programming language

Published on 12 May 2024 09:40 PM
#Stata

How to resolve the algorithm Polynomial regression step by step in the Stata programming language

Table of Contents

Problem Statement

Find an approximating polynomial of known degree for a given data. Example: For input data: The approximating polynomial is: Here, the polynomial's coefficients are (3, 2, 1). This task is intended as a subtask for Measure relative performance of sorting algorithms implementations.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Polynomial regression step by step in the Stata programming language

Source code in the stata programming language

. clear
. input x y
0 1
1 6
2 17
3 34
4 57
5 86
6 121
7 162
8 209
9 262
10 321
end

. regress y c.x##c.x

      Source |       SS           df       MS      Number of obs   =        11
-------------+----------------------------------   F(2, 8)         =         .
       Model |      120362         2       60181   Prob > F        =         .
    Residual |           0         8           0   R-squared       =    1.0000
-------------+----------------------------------   Adj R-squared   =    1.0000
       Total |      120362        10     12036.2   Root MSE        =         0

------------------------------------------------------------------------------
           y |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
           x |          2          .        .       .            .           .
             |
     c.x#c.x |          3          .        .       .            .           .
             |
       _cons |          1          .        .       .            .           .
------------------------------------------------------------------------------

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