Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Método de mínimos cuadrados

109,682 views

Published on

Espero que este ejemplo le sirva de guía para hallar la tendencia de alguna situación que necesita proyectar.

Published in: Education
  • DOWNLOAD THAT BOOKS INTO AVAILABLE FORMAT (2019 Update) ......................................................................................................................... ......................................................................................................................... Download Full PDF EBOOK here { http://shorturl.at/mzUV6 } ......................................................................................................................... Download Full EPUB Ebook here { http://shorturl.at/mzUV6 } ......................................................................................................................... Download Full doc Ebook here { http://shorturl.at/mzUV6 } ......................................................................................................................... Download PDF EBOOK here { http://shorturl.at/mzUV6 } ......................................................................................................................... Download EPUB Ebook here { http://shorturl.at/mzUV6 } ......................................................................................................................... Download doc Ebook here { http://shorturl.at/mzUV6 } ......................................................................................................................... ......................................................................................................................... ................................................................................................................................... eBook is an electronic version of a traditional print book that can be read by using a personal computer or by using an eBook reader. (An eBook reader can be a software application for use on a computer such as Microsoft's free Reader application, or a book-sized computer that is used solely as a reading device such as Nuvomedia's Rocket eBook.) Users can purchase an eBook on diskette or CD, but the most popular method of getting an eBook is to purchase a downloadable file of the eBook (or other reading material) from a Web site (such as Barnes and Noble) to be read from the user's computer or reading device. Generally, an eBook can be downloaded in five minutes or less ......................................................................................................................... .............. Browse by Genre Available eBooks .............................................................................................................................. Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, ......................................................................................................................... ......................................................................................................................... .....BEST SELLER FOR EBOOK RECOMMEND............................................................. ......................................................................................................................... Blowout: Corrupted Democracy, Rogue State Russia, and the Richest, Most Destructive Industry on Earth,-- The Ride of a Lifetime: Lessons Learned from 15 Years as CEO of the Walt Disney Company,-- Call Sign Chaos: Learning to Lead,-- StrengthsFinder 2.0,-- Stillness Is the Key,-- She Said: Breaking the Sexual Harassment Story That Helped Ignite a Movement,-- Atomic Habits: An Easy & Proven Way to Build Good Habits & Break Bad Ones,-- Everything Is Figureoutable,-- What It Takes: Lessons in the Pursuit of Excellence,-- Rich Dad Poor Dad: What the Rich Teach Their Kids About Money That the Poor and Middle Class Do Not!,-- The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness,-- Shut Up and Listen!: Hard Business Truths that Will Help You Succeed, ......................................................................................................................... .........................................................................................................................
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • DOWNLOAD THAT BOOKS INTO AVAILABLE FORMAT (2019 Update) ......................................................................................................................... ......................................................................................................................... Download Full PDF EBOOK here { http://bit.ly/2m6jJ5M } ......................................................................................................................... Download Full EPUB Ebook here { http://bit.ly/2m6jJ5M } ......................................................................................................................... Download Full doc Ebook here { http://bit.ly/2m6jJ5M } ......................................................................................................................... Download PDF EBOOK here { http://bit.ly/2m6jJ5M } ......................................................................................................................... Download EPUB Ebook here { http://bit.ly/2m6jJ5M } ......................................................................................................................... Download doc Ebook here { http://bit.ly/2m6jJ5M } ......................................................................................................................... ......................................................................................................................... ................................................................................................................................... eBook is an electronic version of a traditional print book that can be read by using a personal computer or by using an eBook reader. (An eBook reader can be a software application for use on a computer such as Microsoft's free Reader application, or a book-sized computer that is used solely as a reading device such as Nuvomedia's Rocket eBook.) Users can purchase an eBook on diskette or CD, but the most popular method of getting an eBook is to purchase a downloadable file of the eBook (or other reading material) from a Web site (such as Barnes and Noble) to be read from the user's computer or reading device. Generally, an eBook can be downloaded in five minutes or less ......................................................................................................................... .............. Browse by Genre Available eBooks .............................................................................................................................. Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, ......................................................................................................................... ......................................................................................................................... .....BEST SELLER FOR EBOOK RECOMMEND............................................................. ......................................................................................................................... Blowout: Corrupted Democracy, Rogue State Russia, and the Richest, Most Destructive Industry on Earth,-- The Ride of a Lifetime: Lessons Learned from 15 Years as CEO of the Walt Disney Company,-- Call Sign Chaos: Learning to Lead,-- StrengthsFinder 2.0,-- Stillness Is the Key,-- She Said: Breaking the Sexual Harassment Story That Helped Ignite a Movement,-- Atomic Habits: An Easy & Proven Way to Build Good Habits & Break Bad Ones,-- Everything Is Figureoutable,-- What It Takes: Lessons in the Pursuit of Excellence,-- Rich Dad Poor Dad: What the Rich Teach Their Kids About Money That the Poor and Middle Class Do Not!,-- The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness,-- Shut Up and Listen!: Hard Business Truths that Will Help You Succeed, ......................................................................................................................... .........................................................................................................................
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • DOWNLOAD THAT BOOKS INTO AVAILABLE FORMAT (2019 Update) ......................................................................................................................... ......................................................................................................................... Download Full PDF EBOOK here { http://bit.ly/2m77EgH } ......................................................................................................................... Download Full EPUB Ebook here { http://bit.ly/2m77EgH } ......................................................................................................................... Download Full doc Ebook here { http://bit.ly/2m77EgH } ......................................................................................................................... Download PDF EBOOK here { http://bit.ly/2m77EgH } ......................................................................................................................... Download EPUB Ebook here { http://bit.ly/2m77EgH } ......................................................................................................................... Download doc Ebook here { http://bit.ly/2m77EgH } ......................................................................................................................... ......................................................................................................................... ................................................................................................................................... eBook is an electronic version of a traditional print book that can be read by using a personal computer or by using an eBook reader. (An eBook reader can be a software application for use on a computer such as Microsoft's free Reader application, or a book-sized computer that is used solely as a reading device such as Nuvomedia's Rocket eBook.) Users can purchase an eBook on diskette or CD, but the most popular method of getting an eBook is to purchase a downloadable file of the eBook (or other reading material) from a Web site (such as Barnes and Noble) to be read from the user's computer or reading device. Generally, an eBook can be downloaded in five minutes or less ......................................................................................................................... .............. Browse by Genre Available eBooks .............................................................................................................................. Art, Biography, Business, Chick Lit, Children's, Christian, Classics, Comics, Contemporary, Cookbooks, Manga, Memoir, Music, Mystery, Non Fiction, Paranormal, Philosophy, Poetry, Psychology, Religion, Romance, Science, Science Fiction, Self Help, Suspense, Spirituality, Sports, Thriller, Travel, Young Adult, Crime, Ebooks, Fantasy, Fiction, Graphic Novels, Historical Fiction, History, Horror, Humor And Comedy, ......................................................................................................................... ......................................................................................................................... .....BEST SELLER FOR EBOOK RECOMMEND............................................................. ......................................................................................................................... Blowout: Corrupted Democracy, Rogue State Russia, and the Richest, Most Destructive Industry on Earth,-- The Ride of a Lifetime: Lessons Learned from 15 Years as CEO of the Walt Disney Company,-- Call Sign Chaos: Learning to Lead,-- StrengthsFinder 2.0,-- Stillness Is the Key,-- She Said: Breaking the Sexual Harassment Story That Helped Ignite a Movement,-- Atomic Habits: An Easy & Proven Way to Build Good Habits & Break Bad Ones,-- Everything Is Figureoutable,-- What It Takes: Lessons in the Pursuit of Excellence,-- Rich Dad Poor Dad: What the Rich Teach Their Kids About Money That the Poor and Middle Class Do Not!,-- The Total Money Makeover: Classic Edition: A Proven Plan for Financial Fitness,-- Shut Up and Listen!: Hard Business Truths that Will Help You Succeed, ......................................................................................................................... .........................................................................................................................
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here

Método de mínimos cuadrados

  1. 1. MÉTODOS DE MÍNIMOS CUADRADOSExisten numerosas leyes físicas en las que se sabe deantemano que dos magnitudes x e y se relacionan a través deuna ecuación lineal . y = ax + bdonde las constantes b (ordenada en el origen) y a (pendiente)dependen del tipo de sistema.El método más efectivo para determinar los parámetros a y bse conoce como técnica de mínimos cuadrados.Consiste en someter el sistema a diferentes condiciones,fijando para ello distintos valores de la variable independientex, y anotando en cada caso el correspondiente valor medidopara la variable dependiente y.
  2. 2. Supongamos que una empresa con información desde el año 2000 a 2010, quiere conocer cuál sería la tendencia para el 2011, 2012 y 2013. Ventas por $Periodo (x ) Año 1000 (y) x●y x2 1 2000 408 408 1 2 2001 701 1402 4 3 2002 803 2409 9 4 2003 929 3716 16 5 2004 230 1150 25 6 2005 1100 6600 36 7 2006 1160 8120 49 8 2007 965 7720 64 9 2008 1050 9450 81 10 2009 1118 11180 100 11 2010 720 7920 121
  3. 3. Supongamos que una empresa con información desde el año 2000 a 2010, quiere conocer cuál sería la tendencia para el 2011, 2012 y 2013. Ventas por $ Periodo (x) Año 1000 (y) x●y x2 11 ∑ 66 ∑ 9184 ∑ 60075 ∑ 506 12 2011 13 2012 14 2013 y=mx+b 54681 m= 1210 11 (60075) - 66(9184)m= m = 45, 2 11 (506) - 66 (66) 660825 - 606144m = 5566 - 4356
  4. 4. Supongamos que una empresa con información desde el año 2000 a 2010, quiere conocer cuál sería la tendencia para el 2011, 2012 y 2013. Ventas por $ Periodo (x) Año 1000 (y) x●y x211 ∑ 66 ∑ 9184 ∑ 60075 ∑ 50612 201113 201214 2013 y=mx+b 682154 b = 1210 9184 (506) - 66 (60075) b = b = 563,8 11 (506) - 66 (66) b = 4647104 - 3964950 5566 - 4356
  5. 5. Supongamos que una empresa con información desde el año 2000 a 2010, quiere conocer cuál sería la tendencia para el 2011, 2012 y 2013. Ventas por $Periodo (x) Año 1000 (y) x●y x2 ∑ 66 ∑ 9184 ∑ 60075 ∑ 506 12 2011 1105,4 13 2012 1151,4 14 2013 1196,6 y=mx+bm = 45, 2 b = 563,8 y = 45,2 x + 563,8y = 45,2 (12) + 563,8 y = 45,2 (14) + 563,8y = 45,2 (13) + 563,8
  6. 6. Supongamos que una empresa con información desde el año 2003 a 2012, quiere conocer cuál sería la tendencia para el 2013, 2014 y 2015.Periodo (x) Año Ventas (y) x●y x2 1 2003 11000 11000 1 2 2004 16000 32000 4 3 2005 18000 54000 9 4 2006 19000 76000 16 5 2007 13000 65000 25 6 2008 15000 90000 36 7 2009 12000 84000 49 8 2010 18000 144000 64 9 2011 26000 234000 81 10 2012 23000 230000 100 11 2013 1020000 385 12 2014 13 2015
  7. 7. BIBLIOGRAFÍAhttp://www.youtube.com/watch?v=-N97dm_32WM&feature=relmfuhttp://www.youtube.com/watch?v=8zz3VoCEJh4&feature=relatedhttp://www.youtube.com/watch?v=N6RDMj1ARBc&feature=relmfuhttp://ocw.unican.es/ensenanzas-tecnicas/fisica-i/practicas-1/Ajuste%20por%20minimos%20cuadrados.pdf http://henalova.blogspot.es/1226331660/

×