Задача №2 метод наименьших квадратов
Задание.
Дана таблица
значений функции
.
Используя
метод наименьших квадратов, подобрать
для заданных значений
и
линейную функцию
;квадратичную функцию
.
Построить графики этих функций.
|
№1.
|
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
-1 |
3 |
4 |
2 |
0 |
|
|
№2. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
4 |
2 |
-1 |
6 |
3 |
|
|
№3. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
1 |
4 |
3 |
-1 |
-4 |
|
|
№4. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
0 |
3 |
4 |
2 |
-1 |
|
|
№5. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
5 |
3 |
-2 |
1 |
2 |
|
|
№6. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
3 |
5 |
2 |
-1 |
4 |
|
|
№7. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
1 |
4 |
7 |
2 |
-2 |
|
|
№8. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
2 |
-2 |
3 |
4 |
1 |
|
|
№9. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
4 |
7 |
3 |
0 |
-1 |
|
|
№10. |
X |
1.0 |
1.5 |
2.0 |
2.5 |
3.0 |
|
|
Y |
5 |
3 |
-1 |
2 |
4 |
|
|
№11. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
6 |
2 |
-2 |
1 |
4 |
|
|
№12. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
1 |
3 |
5 |
2 |
-1 |
| |
|
№13. |
X |
2.0 |
2.5 |
3.0 |
3.5 |
4.0 |
|
|
Y |
-2 |
1 |
4 |
5 |
3 |
|
|
№14. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
3 |
5 |
2 |
-1 |
-2 |
|
|
№15. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
3 |
5 |
4 |
1 |
-1 |
|
|
№16. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
-1 |
1 |
2 |
4 |
3 |
|
|
№17. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
2 |
-1 |
1 |
3 |
4 |
|
|
№18. |
X |
4.0 |
4.5 |
5.0 |
5.5 |
6.0 |
|
|
Y |
-2 |
1 |
3 |
4 |
2 |
|
|
№19. |
X |
5.0 |
5.5 |
6.0 |
6.5 |
7.0 |
|
|
Y |
1 |
3 |
5 |
2 |
-1 |
|
|
№20. |
X |
3.0 |
3.5 |
4.0 |
4.5 |
5.0 |
|
|
Y |
2 |
-2 |
1 |
4 |
3 |
|
