Research on predictive control of students’ performance in PE classes based on the mathematical model of multiple linear regression equation
Publié en ligne: 22 nov. 2021
Pages: 297 - 306
Reçu: 17 juin 2021
Accepté: 24 sept. 2021
© 2021 Xin Liu et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Fig. 1
Forecast model algorithm flow chart.Fig. 2
Schematic diagram of random traversal sampling.Fig. 3
Schematic diagram of single-point crossover operation.Fig. 4
Schematic diagrams of the relationship between the number of college sports performance levels and the goodness of fit R2.List of dummy variable settings for college sports performance grades.
Category K |
1 |
2 |
3 |
. . . |
k |
|
Virtual variable |
D1 |
0 |
1 |
1 |
1 |
1 |
D2 |
1 |
0 |
1 |
1 |
1 |
D3 |
1 |
1 |
0 |
1 |
1 |
. . . |
. . . |
. . . |
. . . |
. . . |
. . . |
D (k−1) |
1 |
1 |
1 |
0 |
1 |
List of the classification results of the merits of each school (region) and college sports performance.
Classmate code |
Performance prediction |
Actual |
Prediction |
Strength ranking |
|
A |
98.55 |
98 |
1 |
B |
98 |
98 |
1 |
C |
98 |
98 |
1 |
D |
98 |
98 |
1 |
E |
97.25 |
97 |
2 |
F |
97.11 |
97 |
2 |
G |
97.1 |
97 |
2 |
H |
96.12 |
96 |
3 |
I |
92.12 |
92 |
4 |
J |
92 |
92 |
4 |
K |
90 |
90 |
5 |
L |
90 |
90 |
5 |
M |
89.11 |
89 |
6 |
N |
89.12 |
89 |
6 |
O |
87.12 |
87 |
7 |
P |
86 |
86 |
8 |
Summary of the regression results of the share of outstanding and excellent results in college sports from 2014 to 2018
|
Regression results of performance share |
Regression results of outstanding performance share |
Coefficient |
t |
Coefficient |
t |
|
log (POP) |
0.700580484 |
4.046 |
0.415217178 |
3.612307 |
log (PGDP) |
0.00492357 |
3.8 |
0.507549691 |
1.092639 |
Home |
0.720660842 |
1.656 |
0.950142728 |
3.393209 |
Mt-1 |
0.935333311 |
0.9 |
0.733616507 |
4.407553 |
β0 |
0.819858339 |
0.645 |
0.949132464 |
2.307292 |
D1 |
0.233461872 |
1.489 |
0.861656496 |
0.10588 |
D2 |
0.522969528 |
4.718 |
0.159542912 |
1.948906 |
D3 |
0.887297088 |
3.593 |
0.108918231 |
3.609763 |
D4 |
0.673300591 |
4.348 |
0.916780756 |
1.823459 |
D5 |
0.681120134 |
1.667 |
0.871739745 |
1.593532 |
D6 |
0.767696616 |
2.757 |
0.6677149 |
1.354243 |
Statistical test |
R2 = 0.9544 |
F = 491.43223 |
R2 = 0.9254 |
F = 444.43223 |
Summary of the results of the two models’ prediction statistical indicators.
|
Model |
RMSE |
MAPE |
MAE |
PEA |
|
Grades |
FCM |
7.123 |
0.5446 |
4.789 |
0.954 |
GA |
6.785 |
0.5214 |
3.256 |
0.957 |
Excellent results |
FCM |
3.456 |
0.4851 |
2.0657 |
0.925 |
GA |
3.278 |
0.4712 |
2.2145 |
0.952 |