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Консультация № 191989
04.12.2017, 10:27
0.00 руб.
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1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Экспериментально получены пять значений искомой функции
у = f(х) при пяти значениях аргумента, которые представлены в таблице. Методом наименьших квадратов найти функцию y = f(x) в виде у = ах + b.
х 1 2 3 4 5
у 4,8 5,5 4,3 2,5 2,8
Экспериментально получены пять значений искомой функции
у = f(х) при пяти значениях аргумента, которые представлены в таблице. Методом наименьших квадратов найти функцию y = f(x) в виде у = ах + b.
х 1 2 3 4 5
у 4,8 5,5 4,3 2,5 2,8
Обсуждение
04.12.2017, 11:18
общий
это ответ
Здравствуйте, z222c333b555!
Заполним следующую таблицу:
Составляем систему нормальных уравнений:
55a + 15b = 52,7,
15a + 5b = 19,9.
Решая эту систему, находим a = -0,7, b = 6,08.
Значит, зависимость между x и y представляется формулой
y = -0,7x + 6,08.
Заполним следующую таблицу:
Код:
i x_i y_i (x_i)^2 (x_i)(y_i)
=============================
1 1 4,8 1 4,8
2 2 5,5 4 11
3 3 4,3 9 12,9
4 4 2,5 16 10
5 5 2,8 25 14
-----------------------------
[$8721$] 15 19,9 55 52,7
Составляем систему нормальных уравнений:
55a + 15b = 52,7,
15a + 5b = 19,9.
Решая эту систему, находим a = -0,7, b = 6,08.
Значит, зависимость между x и y представляется формулой
y = -0,7x + 6,08.
5
Спасибо!)
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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