Tugas Matrek II ke 1

TUGAS MATEMATIKA REKAYASA II (LEAST  SQUARE)

NAMA : IMAM TOHARI

NPM    : 0953010017

DATA :

x	y	x . y	x²
1	1.7	1.7	1
2	3.7	7.4	4
3	5.7	17.1	9
4	8.7	34.8	16
5	12.7	63.5	25
Σx = 15	Σy = 32.5	Σxy = 124.5	Σx² = 55

Ditanya : Model matematika  y = ax+b ???

Σxy         =  Σx².a  +  Σx.b

Σy           = Σx.a  +   n.b

JAWAB                 :               124.5     = 55a + 15b         x1                                 32.5                  = 15(2.7) + 5b

                                                32.5        = 15a + 5b            x3                           32.5 – 40.5           = 5b

                                                124.5     = 55a                                                                     -8            = 5b

                                                97.5        = 45a                                                                     -1.6        = b

                                                27           = 10a

                                                2.7          = a

·       Jadi model matematika y = 2.7x – 1.6