UNIVERSIDAD NACIONAL DE INGENIERÍA FACULT FACULTAD DE INGENIERÍA QUÍMICA Q UÍMICA Y TEXTIL TEXTI L ÁREA ACADÉMICA DE INGENIERÍA QUÍMICA
REGRESIÓN LINEAL Y POLINOMIAL CON MATHCAD
ALUMNOS
:
AGUILAR TORRES, TORRES, GUSTA GUSTAVO ARANA YI, JORGE LUIS DÍAZ BURGOS, JOSÉ MIGUEL
CURSO
:
CÁLCULOS EN INGENIERÍA QUÍMICA
PROFESOR
:
ING. JOSÉ DÁVILA
SECCION
:
“A”
GRUPO
:
5
CICLO
:
200 ! I
ÍNDICE
I. INTRODUCCIÓN
II. OBJETIVOS
III. MARCO TEÓRICO
IV. EL ENTORNO DE Ma!"a#
V. EJEMPLOS DE APLICACIÓN
VII. CONCLUSIONES
VIII. BIBLIOGRAFÍA
REGRESIÓN LINEAL Y POLINOMIAL CON MATHCAD
I. INTRODUCCIÓN D"#$" %&# &'()"*"# $"% +&-'", "% '&)'"#& $" %/# #&1"$/$"# +/ "#/$& 31*4%/$& &* "% $"#4-'11"*& /%1/16* $" 7*1/# 84" &"*1"* %/# //1$/$"# +4/*"#, /*& "* %&# /#"&# 9(#1&# && 1*"%"4/%"#. A#(, %/# "*&%&)(/# $" %/ 1*9&'/16* "#:* /-1/*$& %&# '/-/;&# %/# 31$/# $" %&# 1*$131$4&# , &' &*#1)41"*", "# 1&'/*" "#/' /4/%1/'", "* *4"#'& /#&, /%1/$& / %/ 1*)"*1"'(/. E% 4#& $"% #&9>/'" Ma!"a# #4&*" 4* /#& /$"%/*" /'/ %/'191/' &"*1/' "% /'"*$1/'" /$11&*/%"# 84" %" "'1"* '"/%1
II. OBJETIVOS
@'&&'1&*/' 4*/ 31#16* )"*"'/% $" %/# /'/"'(#1/# $"% M/+/$ #4# /%1/1&*"#. R"#&%3"' 4* '&-%"/ $" '")'"#16* %1*"/% & &%1*&1/% 4#/*$& "#" #&9>/'"
III. MARCO TEÓRICO REGRESIÓN LINEAL: L%//$/ /-17* “M7&$& $" %&# (*1&# 4/$'/$&#” & “M7&$& $" %/ (*1/ #4/ $" %&# 4/$'/$&# $" %&# '"#1$4&#” E% 7&$& &*#1#" "* %%"3/' 4* &*;4*& $" $/&# /-4%/$&# / %/ "4/16* $" 4*/ '"/, %/ 4/% %&# '"'"#"*/ && 4*/ 94*16*. G':91/"*"
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IV. EL ENTORNO DE Ma!"a# @/'/ "% $"#/''&%%& $" %/# /%1/1&*"# )':91&# 84" / &*1*4/16* #" '"#"*/*, #" +/ 4#/$& %/ 3"'#16* M/+/$ F.0 "* "#/H&%. C&& 4/%841"' &'& #&9>/'" &/1-%" &* 1*$&>#, #" '"#"*/ "* 9&'/ $" 3"*/*/#, &* (&*&# #(-&%&# 84" "'1"* 4* 4#& 1*4113& $"% '&)'//. U*/ $" %/# *&3"$/$"# $" "#/ 3"'#16* "# %/ “3"*/*/ $" #4)"'"*1/# $" M/+/$”, 84" "% '&)'// 4"#'/ /% 1*11/'.
V$%a%a &'(%"(&a) #$ Ma!"a#:
CARACTERÍSTICAS PRINCIPALES: L/ '1*1/% /'/"'(#1/ $" Mathcad "# 84" '"#4%/ /* 9:1% $" 4#/' && %/# &*&1$/# +&;/# $" :%4%&. Y, #1* "-/')&, *& "# *""#/'1& /'"*$"' *1*)4*/ #1*/?1# &%1/$/. E* Mathcad 4*/ "4/16* //'"" /% && #" &$'(/ 3"' "* 4*/ 1
C&* Mathcad #" 4"$" '"#&%3"' ':1/"*" 4/%841"' '&-%"/ /":1&, / #"/ $" 9&'/ #1-6%1/ & *47'1/"*". T/-17* #" 4"$" #14/' "?& / #4 /%'"$"$&' /'/ $&4"*/' "% '/-/;&, & '"/' '"'"#"*/1&*"# -1$1"*#1&*/%"# '1$1"*#1&*/%"#. C&-1*/*$& "4/1&*"#, "?& )':91&# "* 4* #&%& $&4"*&, Mathcad 9/1%1/ "% #")411"*& $" %&# :%4%&# :# &%";&# %& 84" "'1" %%"3/' 4* &*'&% 1*41&#& $"% '/-/;&.
LOS SIGNOS DE IGUALDAD: /#/ /+&'/ +"&# 31#& $&# #(-&%&# 84" 94*1&*/* $" 9&'/ #11%/' 84" "% #1)*& $" 1)4/%$/$ 84" #" 4#/ /% +/"' :%4%&# #&-'" /"%K #&* E% #(-&%& . S" '// $" 4* #1)*& $" 1)4/%$/$ $" 1*"''&)/16*. L" pide / M/+/$ 84" "3/%=" %& 84" "#: / %/ 1<841"'$/ 84" 4"#'" "% '"#4%/$& / %/ $"'"+/. E% #(-&%& . S" '// $" 4* #1)*& $" 1)4/%$/$ $" /#1)*/16*. L" dice / M/+/$ 84" &" %& 84" "#: / %/ $"'"+/ 84" %& /#1)*" / %& 84" "#: / %/ 1<841"'$/. E#" "# "% "8413/%"*" $" meter en memoria $" 4*/ /%4%/$&'/ /*4/%. E?1#"* $&# #1)*&# $" 1)4/%$/$ /$11&*/%"#. E# $"1', "* '"/%1$/$ M/+C/$ 1"*" $"91*1$&# F #1)*&# $" 1)4/%$/$ &* #1)*191/$&# $19"'"*"#. L&# $&# /$11&*/%"# #&*
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VARIABLES DE INTERVALO: S1*/?1# L/ 3/'1/-%" $" 1*"'3/%& "#: $"91*1$/. @/'/ 3"'%/ "#'1-/ %+
REPRESENTACIÓN MATRICIAL:
@&$"&# '"'"#"*/' $" &'/ /*"'/ / %/ 3/'1/-%" “*”
GRÁFICOS X,Y: L&# )':91&# !Y &*1"*"* *&'/%"*" 4*/ & 3/'1/# "?'"#1&*"# &* 3/'1/-%"# $" 1*"'3/%& "* /-&# ";"#.
A% +/"' %1 94"'/ $"% )':91&, & #1%""*" $/*$& 4* ENTER, "% '&)'// /4&:1/"*" $"91*" %&# %(1"# '/
CÁLCULO SIMBÓLICO: O'/ $" %/# 3"*/;/# $" "#" '&)'//, "# %/ 9/1%1$/$ /'/ '"/%1
- Cálculo de límites y sumatorias:
- Cálculo de sumatorias:
- Cálculo de derivadas e integrales:
- Simplificar expresiones:
UNIDADES: E# -%" /#&1/' 4*1$/$"# / 4/%841"' 3/'1/-%" & &*#/*". @&' ";"%& A% +/"' 84" M/+/$ 4"#'" "% '"#4%/$&, #" 1*$1/': 84" "% '"#4%/$& &*1"*" 4*1$/$"# $" %&*)14$ "* "'&# M/+/$ 4"#'/ &' $"9"& %&# '"#4%/$&# "* 7'1*&# $" #4# $1"*#1&*"# 94*$/"*/%"#. @&' ";"%& S" 4"#'/ "* 7'1*&# $" %/# $1"*#1&*"# $" 94"'
C&& "# %6)1&, M/+/$ *& '&"#/ 4*/ &"'/16* 4/*$& "?1#" 1*&/1-1%1$/$ $" 4*1$/$"#.
FUNCIONES INCORPORADAS Mathcad 4"*/ &* 4*/ )'/* /*1$/$ $" 94*1&*"# 1*&'&'/$/#, /%)4*/# $"
)'/* &%";1$/$. A%)4*/# $" "%%/# #&*
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L/ /&'(/ $" "#/# 94*1&*"# 4"$"* 4#/'#" $1'"/"*", /4*84" /%)4*/# '"841"'"* /%)4*/# $"91*11&*"# '"31/#.
E*'" "#/# 94*1&*"# "#:* %/# 84" &''"#&*$"* / %/ /")&'(/ “Ajuste y suaviaci!n de curvas" , $&*$" "*&*'/&# %/# 84" '"/%1
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V. EJEMPLOS DE APLICACIÓN
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VII. CONCLUSIONES
VIII. BIBLIOGRAFÍA
