{"id":1251,"date":"2021-07-03T09:28:37","date_gmt":"2021-07-03T13:28:37","guid":{"rendered":"https:\/\/openbooks.macewan.ca\/rcommander\/?post_type=chapter&p=1251"},"modified":"2024-02-08T14:46:14","modified_gmt":"2024-02-08T19:46:14","slug":"13-1-introduction","status":"publish","type":"chapter","link":"https:\/\/openbooks.macewan.ca\/introstats\/chapter\/13-1-introduction\/","title":{"raw":"13.1 Introduction","rendered":"13.1 Introduction"},"content":{"raw":"The following table and scatter plot show the relationship between the price (in $1,000) and the age (in years) of 15 used cars of a particular make and model.<\/a>\r\n\r\n\r\n\r\n
Table 13.1<\/strong>: Age and Price of Used Cars\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Age (x<\/em>, in year)<\/td>\r\nPrice (y<\/em>, in $1000)<\/td>\r\n<\/tr>\r\n<\/thead>\r\n
1<\/td>\r\n14<\/td>\r\n<\/tr>\r\n
1<\/td>\r\n13<\/td>\r\n<\/tr>\r\n
3<\/td>\r\n13<\/td>\r\n<\/tr>\r\n
4<\/td>\r\n10<\/td>\r\n<\/tr>\r\n
4<\/td>\r\n10<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n9<\/td>\r\n<\/tr>\r\n
5<\/td>\r\n9<\/td>\r\n<\/tr>\r\n
6<\/td>\r\n7<\/td>\r\n<\/tr>\r\n
7<\/td>\r\n7<\/td>\r\n<\/tr>\r\n
7<\/td>\r\n8<\/td>\r\n<\/tr>\r\n
8<\/td>\r\n7<\/td>\r\n<\/tr>\r\n
8<\/td>\r\n6<\/td>\r\n<\/tr>\r\n
10<\/td>\r\n5<\/td>\r\n<\/tr>\r\n
10<\/td>\r\n4<\/td>\r\n<\/tr>\r\n
13<\/td>\r\n3<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/td>\r\n[caption id=\"attachment_1252\" align=\"aligncenter\" width=\"300\"]\"A<\/a> Figure 13.1<\/strong>: Scatter Plot of Price V.S. Age of 15 Used Cars. [Image Description (See Appendix D Figure 13.1)<\/a>] Click on the image to enlarge it.[\/caption]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n
\"\"<\/div>\r\n
<\/div>\r\n
\r\n
\r\n

Exercise: Can We Use a Simple Linear Regression?<\/p>\r\n\r\n<\/header>\r\n

\r\n
    \r\n \t
  1. Could we use a straight line to model the relationship between the price and age of the used cars?<\/li>\r\n \t
  2. How does the price of used cars change when the age increases?<\/li>\r\n<\/ol>\r\n
    Show\/Hide Answer<\/summary>Answers:<\/strong>\r\n
      \r\n \t
    1. Yes, since the points are roughly on a straight line.<\/li>\r\n \t
    2. The price of used cars tends to decrease as age increases.<\/li>\r\n<\/ol>\r\n<\/details><\/div>\r\n<\/div>\r\n<\/div>","rendered":"

      The following table and scatter plot show the relationship between the price (in $1,000) and the age (in years) of 15 used cars of a particular make and model.<\/a><\/p>\n\n\n\n
      Table 13.1<\/strong>: Age and Price of Used Cars<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
      Age (x<\/em>, in year)<\/td>\nPrice (y<\/em>, in $1000)<\/td>\n<\/tr>\n<\/thead>\n
      1<\/td>\n14<\/td>\n<\/tr>\n
      1<\/td>\n13<\/td>\n<\/tr>\n
      3<\/td>\n13<\/td>\n<\/tr>\n
      4<\/td>\n10<\/td>\n<\/tr>\n
      4<\/td>\n10<\/td>\n<\/tr>\n
      5<\/td>\n9<\/td>\n<\/tr>\n
      5<\/td>\n9<\/td>\n<\/tr>\n
      6<\/td>\n7<\/td>\n<\/tr>\n
      7<\/td>\n7<\/td>\n<\/tr>\n
      7<\/td>\n8<\/td>\n<\/tr>\n
      8<\/td>\n7<\/td>\n<\/tr>\n
      8<\/td>\n6<\/td>\n<\/tr>\n
      10<\/td>\n5<\/td>\n<\/tr>\n
      10<\/td>\n4<\/td>\n<\/tr>\n
      13<\/td>\n3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n\n
      \"A<\/a>
      Figure 13.1<\/strong>: Scatter Plot of Price V.S. Age of 15 Used Cars. [Image Description (See Appendix D Figure 13.1)<\/a>] Click on the image to enlarge it.<\/figcaption><\/figure>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

       <\/p>\n

      \"\"<\/div>\n
      <\/div>\n
      \n
      \n
      \n

      Exercise: Can We Use a Simple Linear Regression?<\/p>\n<\/header>\n

      \n
        \n
      1. Could we use a straight line to model the relationship between the price and age of the used cars?<\/li>\n
      2. How does the price of used cars change when the age increases?<\/li>\n<\/ol>\n
        \nShow\/Hide Answer<\/summary>\n

        Answers:<\/strong><\/p>\n

          \n
        1. Yes, since the points are roughly on a straight line.<\/li>\n
        2. The price of used cars tends to decrease as age increases.<\/li>\n<\/ol>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":19,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1251","chapter","type-chapter","status-publish","hentry"],"part":1246,"_links":{"self":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1251","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/users\/19"}],"version-history":[{"count":20,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1251\/revisions"}],"predecessor-version":[{"id":5318,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1251\/revisions\/5318"}],"part":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/1246"}],"metadata":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapters\/1251\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/media?parent=1251"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/chapter-type?post=1251"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/contributor?post=1251"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/license?post=1251"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}