{"id":5557,"date":"2022-09-21T20:43:47","date_gmt":"2022-09-21T20:43:47","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=5557"},"modified":"2022-09-21T20:43:47","modified_gmt":"2022-09-21T20:43:47","slug":"17c-coreq","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/17c-coreq\/","title":{"raw":"17C Coreq","rendered":"17C Coreq"},"content":{"raw":"In the next class, you will need to be able to simplify equations by combining like terms. Simplifying EquationsIn multiple linear regression, we may encounter multiple \ud835\udc65 variables within a model. For certain categorical predictors and interactions between explanatory variables, we can simplify equations by combining like terms.In math, the terms 8\ud835\udc65, 2\ud835\udc65, and \u22123\ud835\udc65 are called like terms because they all contain the same variable.\r\n
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Question 1<\/h3>\r\n1) Can we combine like terms under addition? In other words, can we add 8\ud835\udc65and 2\ud835\udc65?<\/div>\r\n
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Question 2<\/h3>\r\n2) Can we add3\ud835\udc651and 4\ud835\udc652? Explain.<\/div>\r\n
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Question 3<\/h3>\r\n3) Simplify the equation: \ud835\udc66=2 + 9\ud835\udc65+ 4\ud835\udc65. Write out each of the steps.<\/div>\r\n
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Question 4<\/h3>\r\n4) Simplify the equation: \ud835\udc66=1 +9\ud835\udc651+3\ud835\udc652+4\ud835\udc651+2\ud835\udc652. Write out each of the steps.<\/div>\r\n
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Question 5<\/h3>\r\n5) Simplify the equation: \ud835\udc66=3+7\ud835\udc651+13\ud835\udc652\u22125\ud835\udc651+2\ud835\udc652+14\ud835\udc653, where \ud835\udc651=1 and \ud835\udc652=0. Write out each of the steps.<\/div>\r\n
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Question 6<\/h3>\r\n6) Simplify the equation: \ud835\udc66=4+12\ud835\udc651\u22126\ud835\udc652+3\ud835\udc651+8\ud835\udc651\u2219\ud835\udc652+4\ud835\udc653+10\ud835\udc654, where \ud835\udc652=1. Write out each of the steps.<\/div>","rendered":"

In the next class, you will need to be able to simplify equations by combining like terms. Simplifying EquationsIn multiple linear regression, we may encounter multiple \ud835\udc65 variables within a model. For certain categorical predictors and interactions between explanatory variables, we can simplify equations by combining like terms.In math, the terms 8\ud835\udc65, 2\ud835\udc65, and \u22123\ud835\udc65 are called like terms because they all contain the same variable.<\/p>\n

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Question 1<\/h3>\n

1) Can we combine like terms under addition? In other words, can we add 8\ud835\udc65and 2\ud835\udc65?<\/p><\/div>\n

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Question 2<\/h3>\n

2) Can we add3\ud835\udc651and 4\ud835\udc652? Explain.<\/p><\/div>\n

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Question 3<\/h3>\n

3) Simplify the equation: \ud835\udc66=2 + 9\ud835\udc65+ 4\ud835\udc65. Write out each of the steps.<\/p><\/div>\n

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Question 4<\/h3>\n

4) Simplify the equation: \ud835\udc66=1 +9\ud835\udc651+3\ud835\udc652+4\ud835\udc651+2\ud835\udc652. Write out each of the steps.<\/p><\/div>\n

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Question 5<\/h3>\n

5) Simplify the equation: \ud835\udc66=3+7\ud835\udc651+13\ud835\udc652\u22125\ud835\udc651+2\ud835\udc652+14\ud835\udc653, where \ud835\udc651=1 and \ud835\udc652=0. Write out each of the steps.<\/p><\/div>\n

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Question 6<\/h3>\n

6) Simplify the equation: \ud835\udc66=4+12\ud835\udc651\u22126\ud835\udc652+3\ud835\udc651+8\ud835\udc651\u2219\ud835\udc652+4\ud835\udc653+10\ud835\udc654, where \ud835\udc652=1. Write out each of the steps.<\/p><\/div>\n","protected":false},"author":23592,"menu_order":68,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5557","chapter","type-chapter","status-publish","hentry"],"part":5543,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5557","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5557\/revisions"}],"predecessor-version":[{"id":5558,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5557\/revisions\/5558"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5543"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5557\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5557"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5557"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5557"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}