Kamis, 17 Maret 2011

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

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