In addition to having an effect on the waves, the settings affect the Remainder values.
Remainder values can be greatly varied or they can be vary narrow.
In the examples that show the setting changes of by Amplitude Only or by Frequency Only, we can see the Remainder values for each.
We'll post just the first 10 lines.
by Amplitude Only
Type = |
Linear |
BMA Degree 1 |
BMA Degree 2 |
BMA Degree 3 |
BMA Degree 4 |
BMA Degree 5 |
BMA Degree 6 |
BMA Degree 7 |
BMA Degree 8 |
Algorithm |
Predictor |
A = |
4.42422875 |
1.851 |
2.701 |
2.881 |
2.951 |
2.981 |
3.01 |
3.024 |
3.035 |
Wave / BMA = 0.50 |
Depth = 25 |
B = |
2.41131E-05 |
|
|
|
|
|
|
|
|
Amp / Freq = 0.50 |
Level = 25 |
Index |
Regression |
Wave 1 |
Wave 2 |
Wave 3 |
Wave 4 |
Wave 5 |
Wave 6 |
Wave 7 |
Wave 8 |
Remainder |
Data |
1 |
4.424252863 |
0.52117025 |
-1.080107472 |
-0.545222532 |
-0.21055869 |
-0.074576536 |
-0.025037405 |
-0.007719225 |
-0.002088879 |
-0.000112374 |
3 |
2 |
4.424276976 |
2.198684879 |
1.435370339 |
0.622158514 |
0.227881289 |
0.072809449 |
0.019673837 |
0.003294912 |
-0.000768398 |
-0.003381797 |
9 |
3 |
4.424301089 |
2.066540042 |
1.330954908 |
0.646752258 |
0.293644289 |
0.130087183 |
0.05860691 |
0.026492143 |
0.012141848 |
0.01047933 |
9 |
4 |
4.424325202 |
0.212729135 |
-1.779052256 |
-1.037725483 |
-0.471611095 |
-0.201269481 |
-0.085519511 |
-0.035874935 |
-0.015074416 |
-0.010927161 |
1 |
5 |
4.424349315 |
0.687368953 |
-0.101779809 |
-0.039570655 |
0.007367587 |
0.01227236 |
0.007182566 |
0.002896127 |
0.000772588 |
-0.000859033 |
5 |
6 |
4.424373428 |
1.284610055 |
1.661615208 |
0.877587989 |
0.405705452 |
0.184573317 |
0.085652452 |
0.03981594 |
0.018756041 |
0.017310117 |
9 |
7 |
4.424397541 |
-0.285598499 |
-0.694928872 |
-0.600322462 |
-0.393827695 |
-0.220181664 |
-0.115718155 |
-0.058029797 |
-0.028604708 |
-0.02718569 |
2 |
8 |
4.424421655 |
-0.867669162 |
0.257059534 |
0.479841489 |
0.320343996 |
0.181835377 |
0.098965567 |
0.05175081 |
0.026574406 |
0.026876328 |
5 |
9 |
4.424445768 |
-1.882448712 |
-1.475351509 |
-0.555974005 |
-0.246340589 |
-0.123785285 |
-0.066177191 |
-0.035306068 |
-0.01873865 |
-0.020323757 |
0 |
10 |
4.424469881 |
-1.006150526 |
-0.571009931 |
-0.036940449 |
0.059889164 |
0.052200864 |
0.033747129 |
0.019678418 |
0.011049776 |
0.013065674 |
3 |
by Frequency Only
Type = |
Linear |
BMA Degree 1 |
BMA Degree 2 |
BMA Degree 3 |
BMA Degree 4 |
BMA Degree 5 |
BMA Degree 6 |
BMA Degree 7 |
BMA Degree 8 |
Algorithm |
Predictor |
A = |
4.42422875 |
-3.889 |
-4.109 |
-4.236 |
-4.345 |
-4.438 |
-4.509 |
-4.566 |
-5.096 |
Wave / BMA = 0.50 |
Depth = 25 |
B = |
2.41131E-05 |
|
|
|
|
|
|
|
|
Amp / Freq = 0.50 |
Level = 25 |
Index |
Regression |
Wave 1 |
Wave 2 |
Wave 3 |
Wave 4 |
Wave 5 |
Wave 6 |
Wave 7 |
Wave 8 |
Remainder |
Data |
1 |
4.424252863 |
-0.257664944 |
-0.092247237 |
-0.053888118 |
-0.040199928 |
-0.032245368 |
-0.025572483 |
-0.021018952 |
-0.075642492 |
-0.825773341 |
3 |
2 |
4.424276976 |
-0.257318431 |
-0.092076497 |
-0.053779114 |
-0.040122825 |
-0.032187107 |
-0.025526324 |
-0.020981059 |
-0.075607824 |
5.173322205 |
9 |
3 |
4.424301089 |
-0.256965008 |
-0.091903014 |
-0.053668563 |
-0.04004474 |
-0.032128168 |
-0.025479666 |
-0.020942777 |
-0.075572945 |
5.172403793 |
9 |
4 |
4.424325202 |
-0.256604716 |
-0.091726803 |
-0.053556475 |
-0.039965677 |
-0.032068556 |
-0.025432509 |
-0.020904109 |
-0.075537856 |
-2.828528501 |
1 |
5 |
4.424349315 |
-0.256237595 |
-0.09154788 |
-0.053442857 |
-0.039885643 |
-0.032008274 |
-0.025384856 |
-0.020865057 |
-0.075502557 |
1.170525403 |
5 |
6 |
4.424373428 |
-0.255863688 |
-0.09136626 |
-0.053327718 |
-0.039804642 |
-0.031947324 |
-0.02533671 |
-0.020825621 |
-0.075467049 |
5.169565583 |
9 |
7 |
4.424397541 |
-0.255483037 |
-0.091181958 |
-0.053211067 |
-0.039722679 |
-0.031885711 |
-0.025288074 |
-0.020785804 |
-0.075431331 |
-1.83140788 |
2 |
8 |
4.424421655 |
-0.255095685 |
-0.090994992 |
-0.053092913 |
-0.039639761 |
-0.031823437 |
-0.025238949 |
-0.020745608 |
-0.075395405 |
1.167605095 |
5 |
9 |
4.424445768 |
-0.254701677 |
-0.090805377 |
-0.052973264 |
-0.039555892 |
-0.031760507 |
-0.025189338 |
-0.020705035 |
-0.07535927 |
-3.833395408 |
0 |
10 |
4.424469881 |
-0.254301058 |
-0.090613131 |
-0.052852131 |
-0.039471077 |
-0.031696923 |
-0.025139243 |
-0.020664086 |
-0.075322927 |
-0.834409305 |
3 |
You'll notice the Remainder values in the Amplitude Only are small ( |x| < 1 ) and the Frequency Only they are big ( most are |x| > 1 ).
But in each, the sum of the Regression, Waves and Remainder always equals the original data.
continues...