{"id":57,"date":"2013-01-18T21:02:16","date_gmt":"2013-01-19T05:02:16","guid":{"rendered":"http:\/\/sciclassonline.com\/wp\/?p=57"},"modified":"2015-03-04T12:42:38","modified_gmt":"2015-03-04T20:42:38","slug":"trendline-equations","status":"publish","type":"post","link":"http:\/\/sciclassonline.com\/blog\/2013\/01\/trendline-equations\/","title":{"rendered":"Hypothesis as Function, displayed as Trendline Equation"},"content":{"rendered":"<div id=\"attachment_79\" style=\"width: 4618px\" class=\"wp-caption alignleft\"><a href=\"http:\/\/sciclassonline.com\/blog\/wp-content\/uploads\/2013\/01\/pliesproject.gif\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-79\" src=\"http:\/\/sciclassonline.com\/blog\/wp-content\/uploads\/2013\/01\/pliesproject.gif\" alt=\"Annie&#039;s award-winning project is on www.sciencebuddies.org\" width=\"4608\" height=\"3072\" class=\"size-full wp-image-79\" \/><\/a><p id=\"caption-attachment-79\" class=\"wp-caption-text\">Annie&#8217;s award-winning project is on www.sciencebuddies.org<\/p><\/div>\n<p>I&#8217;ve made a video series on Youtube designed to help students analyze their independent investigation results and go beyond a simple bar graph.<\/p>\n<p>Most of my eighth grade students have some notion of the general form of a slope-intercept line equation: y = mx + b.<br \/>\nWhat they don&#8217;t realize, necessarily, is that what they learned in room 309 with Mr. Math Teacher can help them a LOT in their science classroom with me!<\/p>\n<p>To generate a good science fair hypothesis that can be clearly graphed, the independent variable and dependent variable need quantifiable units. That is an entire subject unto itself. Here, I&#8217;m going to focus on how I teach students to make a trendline equation once they&#8217;ve already identified their independent variable as &#8220;what goes on the X axis&#8221; and the dependent variable as &#8220;what goes on the Y axis&#8221;.<\/p>\n<p>The hypothesis is really a proposal that X and Y are correlated in some sort of functional relationship. With the hypothesis, we boldly make a conditional statement &#8220;If X, then Y.&#8221;  If there is a one-to-one correspondence between every X value and a Y value, so that every X returns one and only one Y value, we can say Y is a function of X.<\/p>\n<p>A function can be represented in the form of a table, a graph, or an equation, and in science experiments we commonly progress through exactly those stages: first we collect data in a table, then we graph that data, then (perhaps) we create an equation from that data. Since the equation is a powerful predictive tool, it can be the most important  way to summarize the data from an experiment. Of course, caveats apply: the equation may not necessarily hold for extrapolations of variables beyond the experimental set. <\/p>\n<p>Students do feel proud of themselves when they discover the equation that describes the relationship between their independent and dependent variables. They are using the analytic tools of a real scientist and, let&#8217;s face it, an equation posted in the Results\/Analysis section of a Science Fair display board do always look impressive.<\/p>\n<p>This video playlist shows how to make a trendline equation in Microsoft Excel 2010. Other versions of Excel will be slightly different, but the discussion of finding trendlines can still be relevant:<\/p>\n<p><a href=\"http:\/\/www.youtube.com\/watch?v=x9JMf1xD_Gc&#038;list=PL03mSKVZUXBSqBCLe_paf-iymfEbGMokx&#038;index=1\" title=\"Trendline equations\">http:\/\/www.youtube.com\/watch?v=x9JMf1xD_Gc&#038;list=PL03mSKVZUXBSqBCLe_paf-iymfEbGMokx&#038;index=1<\/a><\/p>\n<p>Enjoy!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;ve made a video series on Youtube designed to help students analyze their independent investigation results and go beyond a simple bar graph. Most of my eighth grade students have some notion of the general form of a slope-intercept line &hellip; <a href=\"http:\/\/sciclassonline.com\/blog\/2013\/01\/trendline-equations\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,14],"tags":[12,11],"class_list":["post-57","post","type-post","status-publish","format-standard","hentry","category-science-fair-2","category-using-excel","tag-data-analysis","tag-science-fair"],"_links":{"self":[{"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/posts\/57","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/comments?post=57"}],"version-history":[{"count":15,"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/posts\/57\/revisions"}],"predecessor-version":[{"id":148,"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/posts\/57\/revisions\/148"}],"wp:attachment":[{"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/media?parent=57"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/categories?post=57"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/sciclassonline.com\/blog\/wp-json\/wp\/v2\/tags?post=57"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}