The document discusses linear regression analysis performed on a dataset with variables X and Y. It shows the dataset with X and Y values, plots the data in polynomial, exponential, and linear graphs, and performs manual calculations to derive the linear regression equation. The calculations show setting up and solving simultaneous equations to find the coefficients a, b, and c, yielding the final regression equation Y = 0.7X^2 + 0.25X + 8.27.

1. TUGAS MATEMATIKA TEKNIK KIMIA I

2. PENYAJIAN DATA DALAM BENTUK TABEL 40.9 32.5 24.2 18.7 14 10.4 8.8 Y 7 6 5 4 3 2 1 X

3. Penyajian data dalam bentuk grafik polynomial

4. Penyajian data dalam bentuk grafik exponential

5. Penyajian data dalam bentuk grafik linear

6. Pengolahan data secara Manual 31.0823 162.89 4259.7 4055.71 4676 784 140 749.7 149.7 28 11.6964 44.32 2004.1 1672.81 2401 343 49 286.3 40.9 7 6.1009 34.97 1170 1056.25 1296 216 36 195 32.5 6 6.8644 27.02 610 595.36 625 125 25 122 24.4 5 3.1329 20.47 299.2 349.69 256 64 16 74.8 18.7 4 1.7424 15.32 126 196 81 27 9 42 14 3 1.3689 11.57 41.6 108.16 16 8 4 20.8 10.4 2 0.1764 9.22 8.8 77.44 1 1 1 8.8 8.8 1 (y-ŷ) 2 ŷ X 2 Y Y 2 X 4 X 3 X 2 XY Y X

7. 149 = 7a + 28b + 140c ………(1) 748.7 = 28a+140b+748c……..(2) 4254.7= 140a+784b+4676c....(3 )

8. 149 = 7a + 28b + 140c ………(1) 748.7 = 28a+140b+748c……..(2) 598 =28a+112b+560c 748.7=28a+140b+784c -150.7 =-28b-224b .......................(4) 4254.7= 140a+784b+4676c.....(3) 748.7 = 28a+140b+748c……..(2) 3743.5=140a+700b+3920c 4254.7=140a+784b+4676c -511.2 = -84b-756c .......................(5) x 4 x 1 x 5 x 1

9. -150.7 =-28b-224b.......................(4) -452.1 = -84b-672c x 3 -511.2 = -84b-756c .....................(5) x 1 -511.2 = -84b-756c 59.1= 84c c = 0.7 b = 0.25 a = 8.27 Y = 0,7x 2 + 0.25x + 8,27

11. =4055 – (149,7) 2 7 – ( ( ) ) 2 n