Curve Fitting Ok

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  • Words: 542
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Jawaban no 1 Jumlah data(n) 1 2 3 4 5 6 7 Total/sigma rata - rata Kuadrat Total

variabel xi 1 2 2 3 4 5 6 23 3.29 529

Dengan SPSS didapatkan R Square = nilai a = nilai b =

0.82 1.29 0.82

variabel yi 1 3 4 4 5 5 6 28 4 784

xi^2 1 4 4 9 16 25 36 95 13.57 9025

yi^2 1 9 16 16 25 25 36 128 18.29 16384

xi*yi 1 6 8 12 20 25 36 108 15.43 11664

Persamaan Regresi y= a + bx nilai b (n*sigma(xi*yi)-sigma(xi)*sigma(yi))/(n*sigma 0.82

nilai a y bar - b* x bar 1.29 Sehingga didapatkan Persamaan Regresi Jumlah Kuadrat Total (JKT) sigma(yi^2)-(1/n)*(sigma(yi)^2) 16 Jumlah Kuadrat Regresi (JKR) b*sigma(xi*yi)-(1/n)*sigma(xi)*sigma(yi) 13.18 Jumlah Kuadrat Sesatan (JKS) JKT - JKR 2.82 Sehingga R^2 = JKR / JKT 0.82

y= a + bx

i)*sigma(yi))/(n*sigma(xi^2)-(sigma(xi)^2)

ersamaan Regresi

ma(yi)^2)

ma(xi)*sigma(yi)

y= 1.294117647 + 0.823529412 x

Jawaban no 2 Jumlah data(n) 1 2 3 4 5 6 7 8 9 Total/sigma rata - rata Kuadrat Total

Dengan SPSS didapatkan R Square = nilai a = nilai b =

variabel xi 1 3 3 4 4 5 5 6 7 38 4.22 1444

variabel yi 2 3 4 4 5 5 7 6 8 44 4.89 1936

0.86 0.72 0.99

xi^2 1 9 9 16 16 25 25 36 49 186 20.67 34596

yi^2 4 9 16 16 25 25 49 36 64 244 27.11 59536

xi*yi 2 9 12 16 20 25 35 36 56 211 23.44 44521

Persamaan Regresi y= a + bx nilai b (n*sigma(xi*yi)-sigma(xi)*sigma(yi))/(n*sigma(xi^2)-(sigma(xi)^2) 0.99

nilai a y bar - b* x bar 0.72 Sehingga didapatkan Persamaan Regresi Jumlah Kuadrat Total (JKT) sigma(yi^2)-(1/n)*(sigma(yi)^2) 28.89 Jumlah Kuadrat Regresi (JKR) b*sigma(xi*yi)-(1/n)*sigma(xi)*sigma(yi) 24.89 Jumlah Kuadrat Sesatan (JKS) JKT - JKR 4 Sehingga R^2 = JKR / JKT 0.86

y= 0.72173913 + 0.986956522 x

86956522 x

Jawaban no 3 Jumlah data(n) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total/sigma rata - rata Kuadrat Total

variabel xi 1 2 3 3 4 5 6 6 7 8 9 9 10 10 83 5.93 6889

variabel yi 1 3 4 5 6 8 6 7 6 5 5 4 4 3 67 4.79 4489

xi^2 1 4 9 9 16 25 36 36 49 64 81 81 100 100 611 43.64 373321

Dengan SPSS didapatkan R Square = nilai a = nilai b = nilai c =

0.86 -1.34 2.67 -0.22

yi^2 1 9 16 25 36 64 36 49 36 25 25 16 16 9 363 25.93 131769

xi*yi 1 6 12 15 24 40 36 42 42 40 45 36 40 30 409 29.21 167281

xi^2*yi 1 12 36 45 96 200 216 252 294 320 405 324 400 300 2901 207.21 8415801

xi^3 1 8 27 27 64 125 216 216 343 512 729 729 1000 1000 4997 356.93 24970009

xi^4 1 16 81 81 256 625 1296 1296 2401 4096 6561 6561 10000 10000 43271 3090.79 1872379441

Persamaan Regresi nilai b

nilai

a

nilai

c

y= a + bx + cx^2

Sehingga didapatkan Persamaan Regresi Jumlah Kuadrat Total (JKT)

Jumlah Kuadrat Regresi (JKR)

Jumlah Kuadrat Sesatan (JKS)

Sehingga

y= +

x+

x^2

y= +

x+

x^2

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