TUGAS REGRESI GULUD

TUGAS REGRESI GULUD

Data Hald
"y "x1 "x2 "x3 "x4 "
"78.5 "7 "26 "6 "60 "
"74.3 "1 "29 "15 "52 "
"104.3 "11 "56 "8 "20 "
"87.6 "11 "31 "8 "47 "
"95.9 "7 "52 "6 "33 "
"109.2 "11 "55 "9 "22 "
"102.7 "3 "71 "17 "6 "
"72.5 "1 "31 "22 "44 "
"93.1 "2 "54 "18 "22 "
"115.9 "21 "47 "4 "26 "
"83.8 "1 "40 "23 "34 "
"113.3 "11 "66 "9 "12 "
"109.4 "10 "68 "8 "12 "

Dari Data Hald di atas dapat diregresikan sebagai berikut :


Regression Analysis: y versus x1, x2, x3, x4


The regression equation is
y = 62.4 + 1.55 x1 + 0.510 x2 + 0.102 x3 - 0.144 x4




Predictor Coef SE Coef T P
Constant 62.41 70.07 0.89 0.399
x1 1.5511 0.7448 2.08 0.071
x2 0.5102 0.7238 0.70 0.501
x3 0.1019 0.7547 0.14 0.896
x4 -0.1441 0.7091 -0.20 0.844




S = 2.44601 R-Sq = 98.2% R-Sq(adj) = 97.4%




Analysis of Variance


Source DF SS MS F P
Regression 4 2667.90 666.97 111.48 0.000
Residual Error 8 47.86 5.98
Total 12 2715.76




Source DF Seq SS
x1 1 1450.08
x2 1 1207.78
x3 1 9.79
x4 1 0.25


Model ini kurang baik karena nilai P-value dari masing-masing koefisien
regresi memiliki nilai yaitu
lebih dari 0.05 yang berarti ditolak sehingga harus dibuat model regresi
terbaik dalam hal ini memakai analisis regresi Gulud.
1. Menentukan matriks Z
Matriks Z adalah matriks X yang terpusatkan dan terskalakan


"Z1 "Z2 "Z3 "Z4 "
"-0.0226"-0.410984"-0.2600"0.517395 "
"49 " "15 " "
"-0.3170"-0.35533 "0.14560"0.379423 "
"95 " "8 " "
"0.17364"0.145556 "-0.1698"-0.172466"
"7 " "77 " "
"0.17364"-0.318227"-0.1698"0.29319 "
"7 " "77 " "
"-0.0226"0.071352 "-0.2600"0.051739 "
"49 " "15 " "
"0.17364"0.127006 "-0.1248"-0.137972"
"7 " "09 " "
"-0.2189"0.423827 "0.23574"-0.413917"
"49 " "7 " "
"-0.3170"-0.318227"0.46109"0.241451 "
"95 " "5 " "
"-0.2680"0.108455 "0.28081"-0.137972"
"2 " "7 " "
"0.66439"-0.021405"-0.3501"-0.068985"
"2 " "54 " "
"-0.3170"-0.151266"0.50616"0.068985 "
"95 " "3 " "
"0.17364"0.33107 "-0.1248"-0.310438"
"7 " "09 " "
"0.12457"0.368173 "-0.1698"-0.310438"
"5 " "77 " "

2. Menentukan bz(0)

Merupakan koefisien regresi antara variabel respon Y dan variabel
prediktor Z1, Z2, Z3, Z4
"bz(0) "
"31.61 "
"27.5 "
"2.26 "
"-8.35 "






3. Menentukan
Dimana
r adalah banyaknya parameter selain
s2 adalah kuadrat terkecil tengah dalam tabel analisis yaitu 5.98
Mse
sehingga dari hasil perhitungan didapat = 0.01306911





4. Menentukan
b0 =
= 95.4230769 - 9.98462E-06
= 95.42306694

Matriks
"26.4832 "
"16.1666 "
"-3.1518 "
"-20.2113 "


Jadi Persamaan regresi terbaiknya adalah
Y = 95.42306694 + 26.4832X1 + 16.1666X2 – 3.1518X3 – 20.2113X4