Rabu, 13 April 2011

TUGAS MATREK

NAMA.: ISHLAHUL BAQO
NPM.: 0953010058 ( 50)






x y x² x³ x⁴ xy x²y ŷ y - ŷ (y - ŷ)²
1 128 1 1 1 128 128 170,083 -42,083 1770,978889
3 258 9 27 81 774 2322 175,383 82,617 6825,568689
5 378 25 125 625 1890 9450 339,825 38,175 1457,330625
7 558 49 343 2401 3906 27342 542,283 15,717 247,024089
9 768 81 729 6561 6912 62208 782,757 -14,757 217,769049
11 988 121 1331 14641 10868 119548 1061,247 -73,247 5365,123009
13 1268 169 2197 28561 16484 214292 1377,753 -109,753 12045,72101
15 1848 225 3375 50625 27720 415800 1732,275 115,725 13392,27563
∑ 64 6194 680 8128 103496 68682 851090 6181,606 12,394 41321,79098 Jadi nilai a = 4.752, b = 44.205 è Y = 4.752x2 + 44.205x


persamaan normal : ∑XY = a∑x² + b∑x
∑Y = a∑x + bn Y = 6.89x2 + 3.631x + 159.562
eliminasi :
68682 = a.(680) + b. (64) x 1 a.(680) + b. (64) = 68682
6194 = a. (64) + b.(8) x8 a. (512) + b. (64) = 49552
618 a = 19130
a = 30.955
subtitusi :
a (512) + b. (64) = 49552
30.955 . (512) + b. (64) = 49552
15848.96 + b . (64) = 49552
b . (64) = 49552 - 15848.96
64 b = 33703.04
b = 526.61

jadi pers.least square : Y = 30.955x + 526.61

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