/*
 *  Sine wave with linear growth trend
 *  The amplitude, frequency, and phase of the sine wave are estimated
 */
Title "Linear trend with sine component";
Variables X,Y;
Angletype radians;
Parameters p0,p1,Amplitude,Period=2.3,Phase=0;
Function Y = p0 + p1*X + Amplitude*sin(2*pi*(X-Phase)/Period);
Plot Residual,grid;
Data;
1   6.61373
1.14286   6.67525
1.28571   6.05155
1.42857   6.03645
1.57143   5.7362
1.71429   6.9072
1.85714   7.37536
2   8.20144
2.14286   10.4602
2.28571   10.5806
2.42857   12.0161
2.57143   11.2626
2.71429   11.805
2.85714   13.0205
3   12.9144
3.14286   11.2578
3.28571   11.796
3.42857   11.2543
3.57143   10.8899
3.71429   10.3165
3.85714   10.7962
4   12.1749
4.14286   14.0571
4.28571   13.1632
4.42857   14.5436
4.57143   15.5899
4.71429   16.169
4.85714   17.2427
5   17.0113
5.14286   17.0884
5.28571   15.1123
5.42857   15.4322
5.57143   15.2365
5.71429   14.5568
5.85714   15.8915
6   16.7751
6.14286   17.0184
6.28571   16.8796
6.42857   16.9628
6.57143   21.2143
6.71429   21.1784
6.85714   21.9785
7   19.9373
7.14286   19.6727
7.28571   20.5251
7.42857   19.9088
7.57143   17.4681
7.71429   19.3866
7.85714   17.7899
8   20.6011