Tugas Halaman 55
no | berat badan (Y) |
|
|
|||||||||||||||||
(kg) | (cm) | |||||||||||||||||||
1 | 54 | 155 | -7.55 | -7.7 | 58.135 | 59.29 | ||||||||||||||
2 | 51 | 155 | -10.55 | -7.7 | 81.235 | 59.29 | ||||||||||||||
3 | 53 | 156 | -8.55 | -6.7 | 57.285 | 44.89 | ||||||||||||||
4 | 57 | 157 | -4.55 | -5.7 | 25.935 | 32.49 | ||||||||||||||
5 | 52 | 159 | -9.55 | -3.7 | 35.335 | 13.69 | ||||||||||||||
6 | 61 | 159 | -0.55 | -3.7 | 2.035 | 13.69 | ||||||||||||||
7 | 60 | 160 | -1.55 | -2.7 | 4.185 | 7.29 | ||||||||||||||
8 | 64 | 160 | 2.45 | -2.7 | -6.615 | 7.29 | ||||||||||||||
9 | 58 | 161 | -3.55 | -1.7 | 6.035 | 2.89 | ||||||||||||||
10 | 63 | 162 | 1.45 | -0.7 | -1.015 | 0.49 | ||||||||||||||
11 | 77 | 172 | 15.45 | 9.3 | 143.685 | 86.49 | ||||||||||||||
12 | 71 | 170 | 9.45 | 7.3 | 68.985 | 53.29 | ||||||||||||||
13 | 68 | 168 | 6.45 | 5.3 | 34.185 | 28.09 | ||||||||||||||
14 | 64 | 166 | 2.45 | 3.3 | 8.085 | 10.89 | ||||||||||||||
15 | 63 | 164 | 1.45 | 1.3 | 1.885 | 1.69 | ||||||||||||||
16 | 68 | 167 | 6.45 | 4.3 | 27.735 | 18.49 | ||||||||||||||
17 | 70 | 168 | 8.45 | 5.3 | 44.785 | 28.09 | ||||||||||||||
18 | 63 | 166 | 1.45 | 3.3 | 4.785 | 10.89 | ||||||||||||||
19 | 59 | 165 | -2.55 | 2.3 | -5.865 | 5.29 | ||||||||||||||
20 | 55 | 164 | -6.55 | 1.3 | -8.515 | 1.69 | ||||||||||||||
jumlah | 1231 | 3254 | 582.3 | 486.2 | ||||||||||||||||
rata2 | 61.55 | 162.7 | ||||||||||||||||||
SD | 6.954551709 | 5.058603926 | ||||||||||||||||||
1.197655286 | ||||||||||||||||||||
Nilai | -133.308515 |
maka persamaan regresi garis lurus adalah
ini berarti :
a. nilai rerata BB ketika TB = 0 adalah -133.309b. setiap kenaikan TB sebesar 1 cm maka akan terjadi kenaikan BB sebesar 1.19 kg
c. misalkan, seorang anak TB 160 cm, maka prediksi BB adalah
= -133.309 + (1.198*160)
= 58.371
Pertanyaan :
berapakah BB anak bila tingginya :
a. 150 cm? Y= -133.309 + (1.198*150) = 46.34
b. 155 cm? Y= -133.309 + (1.198*155) = 52.33
c. 165 cm? Y= -133.309 + (1.198*165) = 64.3
Tugas Halaman 57
1. Data Indeks MassaTubuh (IMT) dan Glukosa post prandial (GPP)
Kasus | IMT | GPP | Y-y | X-x | (Y-y)(X-x) | (X-x)2 | ||||||
1 | 18.6 | 150 | -3.003703704 | 7.962962963 | -23.91838134 | 63.40877915 | ||||||
2 | 28.1 | 150 | 6.496296296 | 7.962962963 | 51.7297668 | 63.40877915 | ||||||
3 | 25.1 | 120 | 3.496296296 | -22.03703704 | -77.04801097 | 485.6310014 | ||||||
4 | 21.6 | 150 | -0.003703704 | 7.962962963 | -0.029492455 | 63.40877915 | ||||||
5 | 28.4 | 190 | 6.796296296 | 47.96296296 | 325.9705075 | 2300.445816 | ||||||
6 | 20.8 | 110 | -0.803703704 | -32.03703704 | 25.74828532 | 1026.371742 | ||||||
7 | 23.2 | 150 | 1.596296296 | 7.962962963 | 12.71124829 | 63.40877915 | ||||||
8 | 15.9 | 130 | -5.703703704 | -12.03703704 | 68.65569273 | 144.8902606 | ||||||
9 | 16.4 | 130 | -5.203703704 | -12.03703704 | 62.63717421 | 144.8902606 | ||||||
10 | 18.2 | 120 | -3.403703704 | -22.03703704 | 75.00754458 | 485.6310014 | ||||||
11 | 17.9 | 130 | -3.703703704 | -12.03703704 | 44.58161866 | 144.8902606 | ||||||
12 | 21.8 | 140 | 0.196296296 | -2.037037037 | -0.399862826 | 4.14951989 | ||||||
13 | 16.1 | 100 | -5.503703704 | -42.03703704 | 231.3593964 | 1767.112483 | ||||||
14 | 21.5 | 150 | -0.103703704 | 7.962962963 | -0.825788752 | 63.40877915 | ||||||
15 | 24.5 | 130 | 2.896296296 | -12.03703704 | -34.86282579 | 144.8902606 | ||||||
16 | 23.7 | 180 | 2.096296296 | 37.96296296 | 79.58161866 | 1441.186557 | ||||||
17 | 21.9 | 140 | 0.296296296 | -2.037037037 | -0.603566529 | 4.14951989 | ||||||
18 | 18.6 | 135 | -3.003703704 | -7.037037037 | 21.13717421 | 49.51989026 | ||||||
19 | 27 | 140 | 5.396296296 | -2.037037037 | -10.99245542 | 4.14951989 | ||||||
20 | 18.9 | 100 | -2.703703704 | -42.03703704 | 113.6556927 | 1767.112483 | ||||||
21 | 16.7 | 100 | -4.903703704 | -42.03703704 | 206.1371742 | 1767.112483 | ||||||
22 | 18.5 | 170 | -3.103703704 | 27.96296296 | -86.78875171 | 781.9272977 | ||||||
23 | 19.4 | 150 | -2.203703704 | 7.962962963 | -17.54801097 | 63.40877915 | ||||||
24 | 24 | 160 | 2.396296296 | 17.96296296 | 43.04458162 | 322.6680384 | ||||||
25 | 26.8 | 200 | 5.196296296 | 57.96296296 | 301.1927298 | 3359.705075 | ||||||
26 | 28.7 | 190 | 7.096296296 | 47.96296296 | 340.3593964 | 2300.445816 | ||||||
27 | 21 | 120 | -0.603703704 | -22.03703704 | 13.30384088 | 485.6310014 | ||||||
Jumlah | 583.3 | 3835 | 1763.796296 | 19312.96296 | ||||||||
Rerata | 21.6037037 | 142.037037 | ||||||||||
SD | 3.963339839 | 27.25447244 | ||||||||||
B1 | 0.091327069 | |||||||||||
B0 | 8.631877457 | |||||||||||
Maka, persamaan regresi garis lurus adalah | ||||||||||||
Y= B0+B1X | ||||||||||||
Y= 8.63 + 0.09 X |
|
||||||||
Kasus | IMT | TRIG | Y-y | X-x | (Y-y)(X-x) | (X-x)2 |
1 | 18.6 | 180 | -3.003703704 | 6.481481481 | -19.46844993 | 42.00960219 |
2 | 28.1 | 180 | 6.496296296 | 6.481481481 | 42.10562414 | 42.00960219 |
3 | 25.1 | 160 | 3.496296296 | -13.51851852 | -47.26474623 | 182.7503429 |
4 | 21.6 | 180 | -0.003703704 | 6.481481481 | -0.024005487 | 42.00960219 |
5 | 28.4 | 210 | 6.796296296 | 36.48148148 | 247.9389575 | 1330.898491 |
6 | 20.8 | 140 | -0.803703704 | -33.51851852 | 26.93895748 | 1123.491084 |
7 | 23.2 | 180 | 1.596296296 | 6.481481481 | 10.34636488 | 42.00960219 |
8 | 15.9 | 160 | -5.703703704 | -13.51851852 | 77.10562414 | 182.7503429 |
9 | 16.4 | 160 | -5.203703704 | -13.51851852 | 70.34636488 | 182.7503429 |
10 | 18.2 | 150 | -3.403703704 | -23.51851852 | 80.05006859 | 553.1207133 |
11 | 17.9 | 160 | -3.703703704 | -13.51851852 | 50.06858711 | 182.7503429 |
12 | 21.8 | 170 | 0.196296296 | -3.518518519 | -0.690672154 | 12.37997257 |
13 | 16.1 | 130 | -5.503703704 | -43.51851852 | 239.5130316 | 1893.861454 |
14 | 21.5 | 180 | -0.103703704 | 6.481481481 | -0.672153635 | 42.00960219 |
15 | 24.5 | 160 | 2.896296296 | -13.51851852 | -39.15363512 | 182.7503429 |
16 | 23.7 | 210 | 2.096296296 | 36.48148148 | 76.47599451 | 1330.898491 |
17 | 21.9 | 170 | 0.296296296 | -3.518518519 | -1.042524005 | 12.37997257 |
18 | 18.6 | 165 | -3.003703704 | -8.518518519 | 25.58710562 | 72.56515775 |
19 | 27 | 170 | 5.396296296 | -3.518518519 | -18.98696845 | 12.37997257 |
20 | 18.9 | 140 | -2.703703704 | -33.51851852 | 90.62414266 | 1123.491084 |
21 | 16.7 | 130 | -4.903703704 | -43.51851852 | 213.4019204 | 1893.861454 |
22 | 18.5 | 200 | -3.103703704 | 26.48148148 | -82.19067215 | 701.2688615 |
23 | 19.4 | 180 | -2.203703704 | 6.481481481 | -14.28326475 | 42.00960219 |
24 | 24 | 190 | 2.396296296 | 16.48148148 | 39.49451303 | 271.6392318 |
25 | 26.8 | 230 | 5.196296296 | 56.48148148 | 293.494513 | 3190.15775 |
26 | 28.7 | 240 | 7.096296296 | 66.48148148 | 471.7722908 | 4419.78738 |
27 | 21 | 160 | -0.603703704 | -13.51851852 | 8.161179698 | 182.7503429 |
Jumlah | 583.3 | 4685 | 1839.648148 | 19290.74074 | ||
Rerata | 21.6037 | 173.5185 | ||||
SD | 3.96334 | 27.23879 | ||||
B1 | 0.095364 | |||||
B0 | 5.05623 | |||||
Maka, persamaan regresi garis lurus adalah | ||||||
Y= B0+B1X | ||||||
Y= 5.05 +0.09 X |
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