{"id":1468,"date":"2023-07-26T06:31:43","date_gmt":"2023-07-26T06:31:43","guid":{"rendered":"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/"},"modified":"2023-07-26T06:31:43","modified_gmt":"2023-07-26T06:31:43","slug":"sst-ssr-sse-w-excelu","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/","title":{"rendered":"Jak obliczy\u0107 sst, ssr i sse w excelu"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Cz\u0119sto u\u017cywamy trzech r\u00f3\u017cnych <a href=\"https:\/\/statorials.org\/pl\/sst-ssr-sse\/\" target=\"_blank\" rel=\"noopener\">sum warto\u015bci kwadrat\u00f3w,<\/a> aby zmierzy\u0107, jak dobrze <a href=\"https:\/\/statorials.org\/pl\/regresja-liniowa-1\/\" target=\"_blank\" rel=\"noopener\">linia regresji<\/a> faktycznie pasuje do zbioru danych:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Suma kwadrat\u00f3w ca\u0142kowitych (SST) \u2013<\/strong> Suma kwadrat\u00f3w r\u00f3\u017cnic pomi\u0119dzy poszczeg\u00f3lnymi punktami danych (y <sub>i<\/sub> ) a \u015bredni\u0105 zmiennej odpowiedzi ( <span style=\"border-top: 1px solid black;\">y<\/span> ).<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SST = \u03a3(y <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">y<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Regresja sumy kwadrat\u00f3w (SSR)<\/strong> \u2013 Suma kwadrat\u00f3w r\u00f3\u017cnic pomi\u0119dzy przewidywanymi punktami danych (\u0177 <sub>i<\/sub> ) a \u015bredni\u0105 zmiennej odpowiedzi ( <span style=\"border-top: 1px solid black;\">y<\/span> ).<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SSR = \u03a3(\u0177 <sub>i<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">y<\/span> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3. B\u0142\u0105d sumy kwadrat\u00f3w (SSE)<\/strong> \u2013 Suma kwadrat\u00f3w r\u00f3\u017cnic pomi\u0119dzy przewidywanymi punktami danych (\u0177 <sub>i<\/sub> ) i obserwowanymi punktami danych (y <sub>i<\/sub> ).<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SSE = \u03a3(\u0177 <sub>i<\/sub> \u2013 y <sub>i<\/sub> ) <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje krok po kroku, jak obliczy\u0107 ka\u017cd\u0105 z tych metryk dla danego modelu regresji w programie Excel.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Krok 1: Utw\u00f3rz dane<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Najpierw utw\u00f3rzmy zbi\u00f3r danych zawieraj\u0105cy liczb\u0119 przepracowanych godzin i wyniki egzamin\u00f3w uzyskane dla 20 r\u00f3\u017cnych uczni\u00f3w w danej szkole:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14559 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarreexcel1.png\" alt=\"\" width=\"470\" height=\"528\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Krok 2: Dopasuj model regresji<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Na g\u00f3rnej wst\u0105\u017cce programu Excel kliknij kart\u0119 <strong>Dane<\/strong> i kliknij <strong>opcj\u0119 Analiza danych<\/strong> . Je\u015bli nie widzisz tej opcji, musisz najpierw <a href=\"https:\/\/statorials.org\/pl\/jak-za\u0142adowac-pakiet-narzedzi-analitycznych-do-programu-excel\/\" target=\"_blank\" rel=\"noopener\">zainstalowa\u0107 bezp\u0142atne oprogramowanie Analysis ToolPak<\/a> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel3.png\" alt=\"Opcja analizy danych w programie Excel\" width=\"522\" height=\"199\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Po klikni\u0119ciu <strong>Analiza danych<\/strong> pojawi si\u0119 nowe okno. Wybierz opcj\u0119 <strong>Regresja<\/strong> i kliknij OK.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W nowym oknie, kt\u00f3re si\u0119 pojawi, podaj nast\u0119puj\u0105ce informacje:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14560 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarreexcel2.png\" alt=\"\" width=\"520\" height=\"436\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Po klikni\u0119ciu <strong>OK<\/strong> pojawi\u0105 si\u0119 wyniki regresji.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14561 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarreexcel3.png\" alt=\"\" width=\"458\" height=\"415\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Krok 3: Przeanalizuj wynik<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Trzy sumy kwadrat\u00f3w metryk \u2013 SST, SSR i SSE \u2013 mo\u017cna zobaczy\u0107 w kolumnie <strong>SS<\/strong> tabeli <strong>ANOVA<\/strong> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14562 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarreexcel4.png\" alt=\"SST, SSR i SSE w Excelu\" width=\"428\" height=\"399\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Metryki okazuj\u0105 si\u0119 nast\u0119puj\u0105ce:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ca\u0142kowita suma kwadrat\u00f3w (SST):<\/strong> 1248,55<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Regresja sumy kwadrat\u00f3w (SSR):<\/strong> 917,4751<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Suma b\u0142\u0119d\u00f3w kwadrat\u00f3w (SSE):<\/strong> 331,0749<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mo\u017cemy sprawdzi\u0107, \u017ce SST = SSR + SSE:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">SST = SSR + SSE<\/span><\/li>\n<li> <span style=\"color: #000000;\">1248,55 = 917,4751 + 331,0749<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mo\u017cemy r\u00f3wnie\u017c r\u0119cznie obliczy\u0107 <a href=\"https:\/\/statorials.org\/pl\/dobra-wartosc-r-do-kwadratu\/\" target=\"_blank\" rel=\"noopener\">R kwadrat<\/a> modelu regresji:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R do kwadratu = SSR \/ SST<\/span><\/li>\n<li> <span style=\"color: #000000;\">R do kwadratu = 917,4751\/1248,55<\/span><\/li>\n<li> <span style=\"color: #000000;\">R do kwadratu = 0,7348<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Z tego wynika, \u017ce <strong>73,48%<\/strong> r\u00f3\u017cnic w wynikach egzamin\u00f3w mo\u017cna wyt\u0142umaczy\u0107 liczb\u0105 przepracowanych godzin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/prosta-regresja-liniowa-w-programie-excel\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 prost\u0105 regresj\u0119 liniow\u0105 w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wielokrotna-regresja-liniowa-excel\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 wielokrotn\u0105 regresj\u0119 liniow\u0105 w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/regresja-wielomianowa-excel\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 regresj\u0119 wielomianow\u0105 w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/regresja-wyk\u0142adnicza-excel\/\" target=\"_blank\" rel=\"noopener\">Jak przeprowadzi\u0107 regresj\u0119 wyk\u0142adnicz\u0105 w programie Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cz\u0119sto u\u017cywamy trzech r\u00f3\u017cnych sum warto\u015bci kwadrat\u00f3w, aby zmierzy\u0107, jak dobrze linia regresji faktycznie pasuje do zbioru danych: 1. Suma kwadrat\u00f3w ca\u0142kowitych (SST) \u2013 Suma kwadrat\u00f3w r\u00f3\u017cnic pomi\u0119dzy poszczeg\u00f3lnymi punktami danych (y i ) a \u015bredni\u0105 zmiennej odpowiedzi ( y ). SST = \u03a3(y i \u2013 y ) 2 2. Regresja sumy kwadrat\u00f3w (SSR) \u2013 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1468","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak obliczy\u0107 SST, SSR i SSE w Excelu<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 SST, SSR i SSE dla danego modelu regresji w programie Excel, na przyk\u0142adzie.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 SST, SSR i SSE w Excelu\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 SST, SSR i SSE dla danego modelu regresji w programie Excel, na przyk\u0142adzie.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T06:31:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sommecarreexcel1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/\",\"url\":\"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/\",\"name\":\"Jak obliczy\u0107 SST, SSR i SSE w Excelu\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-26T06:31:43+00:00\",\"dateModified\":\"2023-07-26T06:31:43+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 SST, SSR i SSE dla danego modelu regresji w programie Excel, na przyk\u0142adzie.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/sst-ssr-sse-w-excelu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 sst, ssr i sse w excelu\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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