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Test 3-Problem 2

# Test 3-Problem 2 - 80.3 4.39 26.31 36 Sum(xi*yi)= 58.33 n=...

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FIRST ORDER POLYNOMIAL xi*yi xi^2 (yi-ymean)^2 0 2.1 0 0 704.02 1 7.7 7.7 1 438.2 2 13.6 27.2 4 226 3 27.2 81.6 9 2.05 4 40.9 163.6 16 150.47 6 80.3 481.8 36 2669.44 Sum(xi*yi)= 761.9 n= 6 Sum(xi^2)= 66 a1= 13.02 a0= -6.08 xmean= 2.67 ymean= 28.63 S_t= 4190.19 S_r= 235.59 S_t-S_r= 3954.61 r^2= 0.94 SECOND ORDER POLYNOMIAL xi*yi xi^2 xi^(2)*yi xi^3 0 2.1 0 0 0 0 1 7.7 7.7 1 7.7 1 2 13.6 27.2 4 54.4 8 3 27.2 81.6 9 244.8 27 4 40.9 163.6 16 654.4 64 6 80.3 481.8 36 2890.8 216 Sum(xi*yi)= 761.9 Sum(xi^2*yi)= 3852.1 n= 6 Sum(xi^2)= 66 Sum(xi^3)= 316 Sum(xi^4)= 0 0 10 20 30 40 50 60 70 80 90 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 + + = + + = + + = i i i i i i i i i i i i i i i i i i i i i i i i x a x a x a x y x a x a x a x y x a x a na y 4 2 3 1 2 0 2 3 2 2 1 0 2 2 1 0

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xmean= 2.67 ymean= 28.63 S_t= 4190.19 S_r= 3.25 S_t-S_r= 4186.94 r^2= 1 6 16 66 16 66 316 66 316 1650 0.77 -0.47 0.06 Inverse= -0.47 0.47 -0.07 0.06 -0.07 0.01 Exponential xi yi zi=ln(yi) xi*zi xi^2 0 2.1 0.74 0 0 1 7.7 2.04 2.04 1 2 13.6 2.61 5.22 4 3 27.2 3.3 9.91 9 4 40.9 3.71 14.84 16 6

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Unformatted text preview: 80.3 4.39 26.31 36 Sum(xi*yi)= 58.33 n= 6 Sum(xi^2)= 66 b= 0.58 a'= 1.25 xmean= 2.67 ymean= 28.63 S_t= 4190.19 S_r= 13361.35 S_t-S_r=-9171.15 r^2=-2.19 Bad bx a z y bx a y ae y bx + = = + = = ' ln ln ln (yi-y_line)^2 66.96 0.58 40.38 33.33 25.92 68.42 xi^4 (yi-ymean)^(yi-y_polynomial)^2 704.02 0.02 1 438.2 0.58 16 226 1.86 81 2.05 0.77 256 150.47 0.01 1296 2669.44 1650 1 2 3 4 5 6 7 171.8 761.9 3852.1 a0= 2.23 a1= 3.04 a2= 1.66 (yi-ymean)^2 (yi-y_exponential)^2 704.02 7.56 438.2 17.64 226 73 2.05 276.59 150.47 1018.51 2669.44 11968.04 a= 3.49...
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