{"id":3161,"date":"2020-09-19T12:48:53","date_gmt":"2020-09-19T10:48:53","guid":{"rendered":"http:\/\/jhmaths.fr\/?page_id=3161"},"modified":"2020-10-06T08:39:33","modified_gmt":"2020-10-06T06:39:33","slug":"statistiques-a-deux-variables","status":"publish","type":"page","link":"https:\/\/jhmaths.fr\/index.php\/terminale-technologique\/statistiques-a-deux-variables\/","title":{"rendered":"Statistiques \u00e0 deux variables"},"content":{"rendered":"<p>[vc_row][vc_column][vc_column_text css_animation=\u00a0\u00bbnone\u00a0\u00bb el_class=\u00a0\u00bbchose\u00a0\u00bb]<\/p>\n<h1 style=\"text-align: center;\">S\u00e9ries statistiques<\/h1>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=\u00a0\u00bb.vc_custom_1600932504287{margin-top: 20px !important;}\u00a0\u00bb el_id=\u00a0\u00bbobjectif-3&Prime;]<\/p>\n<h3>Droite d&rsquo;ajustement<\/h3>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbproprietepremieresthr propriete\u00a0\u00bb]<strong>D\u00e9finition<\/strong><\/p>\n<p>Une droite d&rsquo;ajustement passe \u00ab\u00a0au plus pr\u00e8s\u00a0\u00bb des points d&rsquo;un nuage. Il en existe plusieurs.<\/p>\n<p>La calculatrice donne la droite d&rsquo;ajustement par la m\u00e9thode des moindres carr\u00e9s.[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_single_image image=\u00a0\u00bb3166&Prime; img_size=\u00a0\u00bbmedium\u00a0\u00bb][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text]<\/p>\n<div style=\"text-align: center;\">\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/6bN03rWveFI\" width=\"320\" height=\"180\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<p>[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text]<\/p>\n<div style=\"text-align: center;\">\n<p><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/AYfsjiwsW00\" width=\"320\" height=\"180\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=\u00a0\u00bb.vc_custom_1600509754118{margin-top: 20px !important;}\u00a0\u00bb]<\/p>\n<h3>Changement de variable<\/h3>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbproprietepremieresthr propriete\u00a0\u00bb]<strong>M\u00e9thode<\/strong><\/p>\n<p>On peut parfois effectuer une changement de variable pour que les points du nuages semblent align\u00e9s, et ainsi trouver une droite d&rsquo;ajustement.<\/p>\n<p>Changements de variables possible :<\/p>\n<ul>\n<li>\\(z_i=\\sqrt{y_i}\\)<\/li>\n<li>\\(z_i=\\displaystyle \\frac{1}{y_i}\\)<\/li>\n<li>\\(z_i=\\ln{y_i}\\)<\/li>\n<li>\\(z_i=e^{y_i}\\)<\/li>\n<\/ul>\n<p>[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]<\/p>\n<h2>Plan de travail<\/h2>\n<p>[\/vc_column_text][vc_single_image source=\u00a0\u00bbexternal_link\u00a0\u00bb onclick=\u00a0\u00bbimg_link_large\u00a0\u00bb img_link_target=\u00a0\u00bb_blank\u00a0\u00bb custom_src=\u00a0\u00bbhttps:\/\/docs.google.com\/drawings\/d\/e\/2PACX-1vQj1eog7eQCLvxVB_mmQdQWJ9GFJuJN1TCWSs7MQy9714m-Hocx9b1AgC2yIKOOwpp3BkGWyUV9GtvO\/pub?w=960&amp;h=720&Prime;][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text css_animation=\u00a0\u00bbnone\u00a0\u00bb el_class=\u00a0\u00bbchose\u00a0\u00bb] S\u00e9ries statistiques [\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=\u00a0\u00bb.vc_custom_1600932504287{margin-top: 20px !important;}\u00a0\u00bb el_id=\u00a0\u00bbobjectif-3&Prime;] Droite d&rsquo;ajustement [\/vc_column_text][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text el_class=\u00a0\u00bbproprietepremieresthr propriete\u00a0\u00bb]D\u00e9finition Une droite d&rsquo;ajustement passe \u00ab\u00a0au plus pr\u00e8s\u00a0\u00bb des points d&rsquo;un nuage. Il en existe plusieurs. La calculatrice donne la droite d&rsquo;ajustement par la m\u00e9thode des moindres carr\u00e9s.[\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_single_image image=\u00a0\u00bb3166&Prime; img_size=\u00a0\u00bbmedium\u00a0\u00bb][\/vc_column][\/vc_row][vc_row content_placement=\u00a0\u00bbmiddle\u00a0\u00bb][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text] [\/vc_column_text][\/vc_column][vc_column width=\u00a0\u00bb1\/2&Prime;][vc_column_text] [\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=\u00a0\u00bb.vc_custom_1600509754118{margin-top: 20px !important;}\u00a0\u00bb] [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3063,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[],"class_list":["post-3161","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3161","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=3161"}],"version-history":[{"count":7,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3161\/revisions"}],"predecessor-version":[{"id":3177,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3161\/revisions\/3177"}],"up":[{"embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/pages\/3063"}],"wp:attachment":[{"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=3161"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/jhmaths.fr\/index.php\/wp-json\/wp\/v2\/folder?post=3161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}