modelos_matematicos_ajuste_de_curvas[1]

MODELOS MATEMÁTICOS(AJUSTE DE CAMPOS)modelo calcule R y R^2

años x y x*y x*x=x^2 y=1152.47+118.32*x (x-x^-)1 119 119 1 120.00 -4.52 117 234 4 118.00 -3.53 115 345 9 116.00 -2.54 116 464 16 114.00 -1.55 113 565 25 112.00 -0.56 110 660 36 110.00 0.57 108 756 49 108.00 1.58 107 856 64 106.00 2.59 105 945 81 104.00 3.5

10 100 1000 100 102.00 4.5S 55 1110 5944 385 1110 0

10 55x^- 5.5 55 385Ȳ 111 0.466666666666667 -0.06666666667

-0.0666666666666667 0.01212121212

R -0.9787R^2 0.9579

(x-x^-)*(y-Ȳ) (x-x^-)^2 (x-x^-)^2*(y-Ȳ)^28 -36 20.25 64 12966 -21 12.25 36 4414 -10 6.25 16 1005 -7.5 2.25 25 56.252 -1 0.25 4 1-1 -0.5 0.25 1 0.25-3 -4.5 2.25 9 20.25-4 -10 6.25 16 100-6 -21 12.25 36 441

-11 -49.5 20.25 121 2450.250 -161 83 328 4906

a 1110b 5944a 121.73b -1.95

(y-Ȳ) (y-Ȳ)^2

SySxy

0 2 4 6 8 10 1290

95

100

105

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125

f(x) = − 1.95151515151515 x + 121.733333333333R² = 0.957908351810791

y

0 2 4 6 8 10 1290.00

95.00

100.00

105.00

110.00

115.00

120.00

125.00

y=1152.47+118.32*x

0 2 4 6 8 10 1290

95

100

105

110

115

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125

f(x) = − 1.95151515151515 x + 121.733333333333R² = 0.957908351810791

y

0 2 4 6 8 10 1290.00

95.00

100.00

105.00

110.00

115.00

120.00

125.00

y=1152.47+118.32*x

AÑO AÑO POBLACIÓN

1998 1 1221999 2 1232000 3 1222001 4 1212002 5 1202003 6 1182004 7 1162005 8 1152006 9 1142007 10 1132008 11 1102009 12 1082010 13 1072011 14 1052012 15 100

Y=a*x^b logy=loga+b*logx

x y logx logy logx*logy (logx)^21 1352 0 3.13097669 0 02 1434 0.30103 3.15654915 0.95021598 0.090619063 1566 0.47712125 3.19479176 1.52430305 0.227644694 1300 0.60205999 3.11394335 1.87478071 0.362476235 1831 0.69897 3.26268834 2.28052129 0.488559076 1867 0.77815125 3.27114432 2.54544504 0.605519377 2069 0.84509804 3.31576049 2.80214269 0.71419078 1947 0.90308999 3.28936595 2.97059345 0.815571529 2257 0.95424251 3.35353156 3.20008237 0.91057877

N= 10 2409 1 3.3818368 3.3818368 155 18032 6.55976303 32.4705884 21.5299214 5.21515941

logy=loga+b*logx10

6.55976303

0.5717685-0.71918528

R 0.85701291R^2 0.73447113

Slogy=N*loga+b*S(logx)S(logx*logy)=a*S(logx)+b*S(logx)^2

Slogy=N*loga+b*S(logx)S(logx*logy)=a*S(logx)+b*S(logx)^2

prom"logx" 0.655976303288prom"logy" 3.247058841648

Y=12068*x^0.2521Y=12068*x^0.2521 logx-logx^- logy-logy^- (logx-logx^-)*(logy-logy^-) (logx-logx^-)^21206.86068595515 -0.6559763 -0.11608215 0.0761471396624101 0.4303049104751437.34361407502 -0.35494631 -0.09050969 0.032126080381864 0.1259868812961592.06679183217 -0.17885505 -0.05226708 0.00934823183408557 0.0319891283981711.84353667729 -0.05391631 -0.13311549 0.00717709624998213 0.002906968695

1810.9210829706 0.0429937 0.0156295 0.000671970164632356 0.001848458331896.11532055981 0.12217495 0.02408548 0.00294264179287985 0.0149267176981971.26541464831 0.18912174 0.06870165 0.0129929751782362 0.0357670313022038.76669807285 0.24711368 0.04230711 0.0104546657673882 0.0610651726742100.22308220999 0.29826621 0.10647272 0.0317572134864668 0.0889627297322156.76580113436 0.3440237 0.13477796 0.0463668114670652 0.118352303917922.1720281355 0 -4.885E-15 0.22998482598501 0.9121103025

6.55976303287679 loga 32.47058845.21515940724978 b 21.5299214

-0.71918527999262 loga 3.08165714 a 1206.8606859551.09635862818237 b 0.25214585 b 0.25214584832

(logy-logy^-)^20.0134750655580.0081920040410.0027318480620.0177197335030.0002442813530.0005801101690.0047199165780.0017898915460.0113364395570.0181650980570.078954388424 0 2 4 6 8 10 12

0

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2000

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f(x) = 98.7046164622019 x + 1249.34181227144R² = 0.949122197027399

Y=12068*x^0.2521

modelos_matematicos_ajuste_de_curvas[1]

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