REGRESION EXPONENCIALMETODO REGRESION EXPONENCIALFECHACAUDAL (m3/s)ALTURA ( cm )FORMULAS.12/7/1335.77712/13/1347.98512/21/1349.88612/28/1367.91051/7/1485.71151/13/14123.61231/20/14145.41351/27/14147.91362/5/14179.81552/12/14207.61762/19/14240.91862/27/13307.12013/5/14347.32233/11/14455.22573/17/14290.91973/24/14137.81324/5/14117.5120SOLUCION.^CUADRO ESTADISTICO.CAUDAL (Yi)ALTURA ( Xi) Yi ' = ln(Yi)Xi * Yi' (Xi) ^235.7773.58275.295929.0053.21CALCULO DE B47.9853.87328.877225.0059.5149.8863.91336.097396.0060.35B =0.01467.91054.22442.8911025.0078.7485.71154.45511.8513225.0090.58123.61234.82592.5015129.00101.31CALCULO DE A145.41354.98672.2318225.00119.84147.91365.00679.5318496.00121.53A' =2.896179.81555.19804.7424025.00158.57207.61765.34939.0730976.00212.76A =18.105240.91865.481020.1034596.00244.74307.12015.731151.1640401.00301.93347.32235.851304.5949729.00410.83La ecuacion sera :455.22576.121573.0366049.00661.29290.91975.671117.5838809.00285.48137.81324.93650.2117424.00114.91117.51204.77571.9714400.0097.14TOTAL2988.002509.0083.8912971.69413059.00n17GRAFICA.ALTURA ( Xi)7753.218559.518660.3510578.7411590.58123101.31135119.84136121.53155158.57176212.76186244.74201301.93223410.83257661.29197285.48132114.9112097.14

REGRESION LINEALMETODO REGRESION LINEALFECHACAUDAL(m3/s)ALTURA (cm)12/7/1335.777FORMULA.12/13/1347.98512/21/1349.88612/28/1367.91051/7/1485.71151/13/14123.61231/20/14145.41351/27/14147.91362/5/14179.81552/12/14207.61762/19/14240.91862/27/13307.12013/5/14347.32233/11/14455.22573/17/14290.91973/24/14137.81324/5/14117.5120CUADRO ESTADISTICO.NCAUDAL (Yi)ALTURA ( Xi)Xi ^2Xi *Yi135.7775929.002748.9015.63247.9857225.004071.5033.79349.8867396.004282.8036.05)467.910511025.007129.5079.17585.711513225.009855.50101.866123.612315129.0015202.80120.017145.413518225.0019629.00147.248147.913618496.0020114.40149.509179.815524025.0027869.00192.6210207.617630976.0036537.60240.2611240.918634596.0044807.40262.9512307.120140401.0061727.10296.9913347.322349729.0077447.90346.9114455.225766049.00116986.40424.0515290.919738809.0057307.30287.9116137.813217424.0018189.60140.4317117.512014400.0014100.00113.2029882509413059538006.7n17CALCULO DE "a" y "b"APLICANDO CRAMER 172509Xa = 29882509413059b538006.7-1a=2988x172509b538006.72509413059

a=2988x0.568230154-0.0034515395b538006.7-0.00345153950.0000233863a=-159.080b2.269GRAFICA.ALTURA ( Xi)7715.6338533.7858636.05410579.165115101.855123120.007135147.235136149.504155192.615176240.264186262.954201296.989223346.907257424.053197287.913132140.428120113.2

REGRESION CUADRATICAMETODO REGRESION CUADRATICA.FECHACAUDAL ( m3/s)ALTURA ( cm)12/7/1335.777FORMULAS.12/13/1347.98512/21/1349.88612/28/1367.91051/7/1485.71151/13/14123.61231/20/14145.41351/27/14147.91362/5/14179.81552/12/14207.61762/19/14240.91862/27/13307.12013/5/14347.32233/11/14455.22573/17/14290.91973/24/14137.81324/5/14117.5120CUADRO ESTADISTICOCAUDAL ( Yi)ALTURA (Xi)Xi^2Xi^3Xi ^4Xi Yi(Xi^2) Yi135.7775929456533351530412748.9211665.337.887247.9857225614125522006254071.5346077.550.887349.8867396636056547008164282.8368320.852.557467.91051102511576251215506257129.5748597.586.187585.71151322515208751749006259855.51133382.5105.3376123.612315129186086722888664115202.81869944.4121.3777145.4135182252460375332150625196292649915146.6378147.913618496251545634210201620114.42735558.4148.8079179.8155240253723875577200625278694319695191.93710207.617630976545177695951257636537.66430617.6243.80711240.9186345966434856119688321644807.48334176.4270.05712307.1201404018120601163224080161727.112407147.1311.30713347.32234972911089567247297344177447.917270881.7375.87714455.225766049169745934362470401116986.430065504.8485.18715290.9197388097645373150613848157307.311289538.1300.08716137.813217424229996830359577618189.62401027.2140.18717117.5120144001728000207360000141001692000115.287298825094130597469052114560020331538006.7104274049.3n17Aplicando Cramer. Calculo de a , b y c 2988a172509413059538006.7=bx250941305974690521104274049.3c4130597469052114560020331

-11725094130592988a250941305974690521x538006.7=b4130597469052114560020331104274049.3c

5.1450975871-0.06710299570.00019826412988a-0.06710299570.0009086004-0.0000027573x538006.7=b0.0001982641-0.00000275730.0000000086104274049.3c

-54.513a0.815=b0.005cGrafica.ALTURA (Xi)7737.8878550.8878652.55710586.187115105.337123121.377135146.637136148.807155191.937176243.807186270.057201311.307223375.877257485.187197300.087132140.187120115.287

REGRESION LOGARITMICAMETODO REGRESION LOGARITMICA.FECHACAUDAL(m3/s)ALTURA(cm)12/7/1335.777FORMULAS.12/13/1347.98512/21/1349.88612/28/1367.91051/7/1485.71151/13/14123.61231/20/14145.41351/27/14147.91362/5/14179.81552/12/14207.61762/19/14240.91862/27/13307.12013/5/14347.32233/11/14455.22573/17/14290.91973/24/14137.81324/5/14117.5120CUADRO ESTADISTICO.CAUDAL ( Yi)ALTURA (Xi)Xi' = Ln(Xi)Xi'YiXi'^2135.7774.34155.0718.87-15.17247.9854.44212.8019.7416.69349.8864.45221.8319.8420.46467.91054.65316.0021.6684.75585.71154.74406.6422.51114.056123.61234.81594.7923.16135.717145.41354.91713.2324.06165.698147.91364.91726.5824.13168.079179.81555.04906.8125.44210.1910207.61765.171073.3926.73251.1111240.91865.231258.8827.31268.9112307.12015.301628.6428.13293.8913347.32235.411877.9129.24327.3414455.22575.552525.9430.79373.0515290.91975.281536.8827.91287.4116137.81324.88672.8523.84158.4517117.51204.79562.5322.92127.762988250983.922516416915390.7846958113416.2810886598n17Calculo de A Y BB322.08A-1414.20

La ecuacion sera:

GRAFICA.

ALTURA (Xi)77-15.178516.698620.4610584.75115114.05123135.71135165.69136168.07155210.19176251.11186268.91201293.89223327.34257373.05197287.4142569519132158.4528432266120127.7553405152