Research Article
Inside of the Linear Relation between Dependent and Independent Variables
Table 3
Optimization results:
versus
determined to satisfy (
6).
| set | | | = ? | value (: ) | | | | | | | |
| 1a | 35 | 0.678 | −1.386 | 0.218 | 9.52 | 0.638 | −1.181 | 0.222 | 4.20 · 10−54 | 1b | 126 | 0.647 | −1.050 | 0.298 | 4.36 | 0.647 | −1.029 | 0.298 | 3.07 · 10−115 | 1c | 250 | 0.509 | −0.443 | 0.596 | 1.29 | 0.563 | −0.623 | 0.569 | 2.42 · 10−53 | 2 | 24 | −0.004 | 2.095 | 0.414 | 0.61 | −0.005 | 2.270 | 0.516 | 1.76 · 10−12 | 3 | 73 | 188.408 | −507.959 | 3.762 | 1.34 | 188.408 | −507.959 | 3.762 | 6.93 · 10−2 | 4a | 40 | 1.000 | 5.232 | 0.308 | 2.81 | 1.041 | 5.338 | 0.308 | 1.30 · 10−19 | 4b | 30 | 0.002 | −61.168 | 0.945 | 0.67 | 0.002 | −64.950 | 0.964 | 1.16 · 10−8 | 5 | 132 | 0.024 | −3.812 | 1.374 | 1.70 | 0.026 | −3.967 | 1.374 | 7.33 · 10−3 | 6 | 80 | 0.255 | −1.216 | 0.558 | 2.87 | 0.255 | −1.216 | 0.558 | 3.39 · 10−23 | 7 | 47 | −0.578 | 2.646 | 0.360 | 3.43 | −0.555 | 2.594 | 0.353 | 1.06 · 10−30 | 8 | 37 | −4.129 | 5.789 | 0.372 | 1.29 | −4.297 | 5.789 | 0.372 | 4.75 · 10−14 | 9 | 47 | 47.561 | −0.169 | 0.319 | 3.17 | 49.502 | −0.279 | 0.319 | 9.01 · 10−29 | 10 | 60 | 0.348 | 1.711 | 0.492 | 1.74 | 0.355 | 1.711 | 0.492 | 6.09 · 10−5 |
|
|
= power of the errors; = coefficients in the simple linear model. = population mean; = population standard deviation.
|