{"id":3343,"date":"2015-04-11T23:38:05","date_gmt":"2015-04-12T04:38:05","guid":{"rendered":"http:\/\/www.ssc.wisc.edu\/~jfrees\/?page_id=3343"},"modified":"2015-08-21T13:39:41","modified_gmt":"2015-08-21T18:39:41","slug":"2-5-statistical-inference","status":"publish","type":"page","link":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/regression\/basic-linear-regression\/2-5-statistical-inference\/","title":{"rendered":"2.5 Statistical Inference"},"content":{"rendered":"<div class=\"scbb-content-box scbb-content-box-gray\">In this section, you learn how to: \n<ul>\n<li>Conduct a hypothesis test for a regression coefficient using either a rejection\/acceptance procedure or a <em>p<\/em>-value<\/li>\n<li>Interpret the t-ratio of a slope in terms of the correlation coefficient<\/li>\n<li>Calculate and interpret a confidence interval for a regression coefficient<\/li>\n<li>Calculate and interpret a prediction interval at a specific value of a predictor variable<\/li>\n<\/ul>\n<h2 style=\"text-align: center\"><a href=\"http:\/\/flash.bus.wisc.edu\/data\/act_sci\/Frees\/Regression2015\/Chapter2\/Part5\/StatisticalInference.html\" target=\"_blank\">Video Overview of the Section <\/a><a href=\"http:\/\/flash.bus.wisc.edu\/data\/act_sci\/Frees\/Regression2015\/Chapter2\/Part5\/StatisticalInference.mp4\" target=\"_blank\">(<em>Alternative .mp4 Version &#8211; 19:44 min<\/em>)<\/a><\/h2>\n<p><\/p><\/div>\n<p>Having fit a model with a data set, we can make a number of important statements. Generally, it is useful to think about these statements in three categories: (i) tests of hypothesized ideas, (ii) estimates of model parameters and (ii) predictions of new outcomes.<\/p>\n<p><div class=\"alignleft\"><a href=\"https:\/\/users.ssc.wisc.edu\/~ewfrees\/regression\/basic-linear-regression\/2-4-properties-of-regression-coefficient-estimators\/\" title=\"2.4 Properties of Regression Coefficient Estimators\">&#9668 Previous page<\/a><\/div><div class=\"alignright\"><a href=\"https:\/\/users.ssc.wisc.edu\/~ewfrees\/regression\/basic-linear-regression\/2-5-statistical-inference\/is-the-explanatory-variable-important-the-t-test\/\" title=\"Is the Explanatory Variable Important?: The <em>t<\/em>-Test\">Next page &#9658<\/a><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Having fit a model with a data set, we can make a number of important statements. Generally, it is useful to think about these statements in three categories: (i) tests of hypothesized ideas, (ii) estimates &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3243,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false},"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/P8cLPd-RV","acf":[],"_links":{"self":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/3343"}],"collection":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/comments?post=3343"}],"version-history":[{"count":4,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/3343\/revisions"}],"predecessor-version":[{"id":5028,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/3343\/revisions\/5028"}],"up":[{"embeddable":true,"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/pages\/3243"}],"wp:attachment":[{"href":"https:\/\/users.ssc.wisc.edu\/~ewfrees\/wp-json\/wp\/v2\/media?parent=3343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}