{"id":1461,"date":"2023-06-22T02:28:53","date_gmt":"2023-06-22T02:28:53","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-and-prediction-interval-learn-it-3\/"},"modified":"2024-03-01T20:03:12","modified_gmt":"2024-03-01T20:03:12","slug":"confidence-interval-and-prediction-interval-learn-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/confidence-interval-and-prediction-interval-learn-it-3\/","title":{"raw":"Confidence Interval and Prediction Interval - Learn It 3","rendered":"Confidence Interval and Prediction Interval &#8211; Learn It 3"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find and interpret the confidence interval for the mean response&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find and interpret the confidence interval for the mean response<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find and interpret the prediction interval for the mean response&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find and interpret the prediction interval for an individual response<\/span><\/li>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Identify whether a confidence interval or a prediction interval is more appropriate in context of the problem&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Identify whether a confidence interval or a prediction interval is more appropriate in context of the problem<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 33.3333%;\">\u00a0<\/td>\r\n<td style=\"width: 33.3333%;\">Penguin A ([latex]202[\/latex] mm)<\/td>\r\n<td style=\"width: 33.3333%;\">Penguin B ([latex]172[\/latex] mm)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 33.3333%;\">[latex]92[\/latex]% Confidence Interval<\/td>\r\n<td style=\"width: 33.3333%;\">[latex](4218, 4293)[\/latex]<\/td>\r\n<td style=\"width: 33.3333%;\">[latex](2679, 2851)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 33.3333%;\">[latex]92[\/latex]% Prediction Interval<\/td>\r\n<td style=\"width: 33.3333%;\">[latex](3560, 4950)[\/latex]<\/td>\r\n<td style=\"width: 33.3333%;\">[latex](2070, 3460)[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>Let\u2019s use these intervals to describe the relationship between the confidence interval for the mean response and the prediction interval for an individual observation.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3065[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3066[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find and interpret the confidence interval for the mean response&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find and interpret the confidence interval for the mean response<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find and interpret the prediction interval for the mean response&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find and interpret the prediction interval for an individual response<\/span><\/li>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Identify whether a confidence interval or a prediction interval is more appropriate in context of the problem&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4609,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Identify whether a confidence interval or a prediction interval is more appropriate in context of the problem<\/span><\/li>\n<\/ul>\n<\/section>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%;\">\u00a0<\/td>\n<td style=\"width: 33.3333%;\">Penguin A ([latex]202[\/latex] mm)<\/td>\n<td style=\"width: 33.3333%;\">Penguin B ([latex]172[\/latex] mm)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">[latex]92[\/latex]% Confidence Interval<\/td>\n<td style=\"width: 33.3333%;\">[latex](4218, 4293)[\/latex]<\/td>\n<td style=\"width: 33.3333%;\">[latex](2679, 2851)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">[latex]92[\/latex]% Prediction Interval<\/td>\n<td style=\"width: 33.3333%;\">[latex](3560, 4950)[\/latex]<\/td>\n<td style=\"width: 33.3333%;\">[latex](2070, 3460)[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Let\u2019s use these intervals to describe the relationship between the confidence interval for the mean response and the prediction interval for an individual observation.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3065\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3065&theme=lumen&iframe_resize_id=ohm3065&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3066\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3066&theme=lumen&iframe_resize_id=ohm3066&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":21,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1438,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1461"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":4,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1461\/revisions"}],"predecessor-version":[{"id":5843,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1461\/revisions\/5843"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1438"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1461\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1461"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1461"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1461"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1461"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}