{"id":1648,"date":"2023-07-25T12:44:47","date_gmt":"2023-07-25T12:44:47","guid":{"rendered":"https:\/\/statorials.org\/pl\/log-log-plot-python\/"},"modified":"2023-07-25T12:44:47","modified_gmt":"2023-07-25T12:44:47","slug":"log-log-plot-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/log-log-plot-python\/","title":{"rendered":"Jak utworzy\u0107 wykres log-log w pythonie"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Wykres log-log<\/strong> to wykres wykorzystuj\u0105cy skal\u0119 logarytmiczn\u0105 zar\u00f3wno na osi x, jak i osi y.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ten typ wykresu jest przydatny do wizualizacji dw\u00f3ch zmiennych, gdy prawdziwa relacja mi\u0119dzy nimi jest zgodna z pewnym rodzajem prawa pot\u0119gowego.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak utworzy\u0107 wykres log-log w Pythonie.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Jak utworzy\u0107 wykres log-log w Pythonie<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce mamy nast\u0119puj\u0105c\u0105 ramk\u0119 DataFrame pand:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">x<\/span> ': [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,\n                         14, 15, 16, 17, 18, 19, 20, 21, 22],\n                   ' <span style=\"color: #ff0000;\">y<\/span> ': [3, 4, 5, 7, 9, 13, 15, 19, 23, 24, 29,\n                         38, 40, 50, 56, 59, 70, 89, 104, 130]})\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>plt. <span style=\"color: #3366ff;\">scatter<\/span> (df. <span style=\"color: #3366ff;\">x<\/span> , df. <span style=\"color: #3366ff;\">y<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16266 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loglogpython1.png\" alt=\"\" width=\"535\" height=\"369\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Jest oczywiste, \u017ce zwi\u0105zek mi\u0119dzy <em>x<\/em> i <em>y<\/em> jest zgodny z prawem pot\u0119gowym.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod ilustruje spos\u00f3b u\u017cycia funkcji <strong>numpy.log()<\/strong> do przeprowadzenia transformacji log na dw\u00f3ch zmiennych i utworzenia wykresu log-log w celu wizualizacji relacji mi\u0119dzy nimi:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n\n#perform log transformation on both x and y\n<\/span>xlog = np. <span style=\"color: #3366ff;\">log<\/span> ( <span style=\"color: #3366ff;\">df.x<\/span> )\nylog = np. <span style=\"color: #3366ff;\">log<\/span> ( <span style=\"color: #3366ff;\">df.y<\/span> )\n\n<span style=\"color: #008080;\">#create log-log plot\n<\/span>plt. <span style=\"color: #3366ff;\">scatter<\/span> (xlog, ylog)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16267 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loglogpython2.png\" alt=\"\" width=\"530\" height=\"372\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O\u015b x wy\u015bwietla logarytm x, a o\u015b y logarytm y.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Zwr\u00f3\u0107 uwag\u0119, \u017ce zwi\u0105zek mi\u0119dzy log(x) i log(y) jest znacznie bardziej liniowy w por\u00f3wnaniu z poprzednim wykresem.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cesz doda\u0107 tytu\u0142 i etykiety osi, aby u\u0142atwi\u0107 interpretacj\u0119 wykresu:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create log-log plot with labels\n<span style=\"color: #000000;\">plt. <span style=\"color: #3366ff;\">scatter<\/span> (xlog, ylog, color=' <span style=\"color: #ff0000;\">purple<\/span> ')\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #ff0000;\">Log(x)<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #ff0000;\">Log(y)<\/span> ')\nplt. <span style=\"color: #3366ff;\">title<\/span> (' <span style=\"color: #ff0000;\">Log-Log Plot<\/span> ')<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16268 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loglogpython3.png\" alt=\"\" width=\"534\" height=\"390\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Pami\u0119taj te\u017c, \u017ce mo\u017cesz utworzy\u0107 wykres liniowy zamiast wykresu punktowego, po prostu u\u017cywaj\u0105c <strong>plt.plot()<\/strong> w nast\u0119puj\u0105cy spos\u00f3b:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create log-log line plot\n<span style=\"color: #000000;\">plt. <span style=\"color: #3366ff;\">plot<\/span> (xlog, ylog, color=' <span style=\"color: #ff0000;\">purple<\/span> ')\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #ff0000;\">Log(x)<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #ff0000;\">Log(y)<\/span> ')\nplt. <span style=\"color: #3366ff;\">title<\/span> (' <span style=\"color: #ff0000;\">Log-Log Plot<\/span> ')<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16274\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loglogpython4.png\" alt=\"Wykres log-log w Pythonie\" width=\"537\" height=\"382\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/log-log-dzia\u0142ka-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak utworzy\u0107 wykres log-log w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/log-log-wykres-excel\/\" target=\"_blank\" rel=\"noopener\">Jak utworzy\u0107 wykres log-log w programie Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wykres log-log to wykres wykorzystuj\u0105cy skal\u0119 logarytmiczn\u0105 zar\u00f3wno na osi x, jak i osi y. Ten typ wykresu jest przydatny do wizualizacji dw\u00f3ch zmiennych, gdy prawdziwa relacja mi\u0119dzy nimi jest zgodna z pewnym rodzajem prawa pot\u0119gowego. W tym samouczku wyja\u015bniono, jak utworzy\u0107 wykres log-log w Pythonie. Jak utworzy\u0107 wykres log-log w Pythonie Za\u0142\u00f3\u017cmy, \u017ce mamy [&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-1648","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 utworzy\u0107 wykres log-log w Pythonie<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak utworzy\u0107 wykres log-log w j\u0119zyku Python, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\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\/log-log-plot-python\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak utworzy\u0107 wykres log-log w Pythonie\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak utworzy\u0107 wykres log-log w j\u0119zyku Python, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/log-log-plot-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T12:44:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loglogpython1.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\/log-log-plot-python\/\",\"url\":\"https:\/\/statorials.org\/pl\/log-log-plot-python\/\",\"name\":\"Jak utworzy\u0107 wykres log-log w Pythonie\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-25T12:44:47+00:00\",\"dateModified\":\"2023-07-25T12:44:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak utworzy\u0107 wykres log-log w j\u0119zyku Python, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/log-log-plot-python\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/log-log-plot-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/log-log-plot-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak utworzy\u0107 wykres log-log w pythonie\"}]},{\"@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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