[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657300-105":59,"doc-detail-657300-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","scatter-diagrams-correlation-and-drawing-a-line-of-best-fit","Scatter Diagrams - Correlation and Drawing a Line of Best Fit","","Scatter diagrams are introduced as a way to investigate whether a relationship exists between two variables, including how to plot points using coordinates and read scales. The document explains correlation types—positive, negative, and none—and uses an example dataset of baby boys’ length and weight from Cwmbrân Hospital. It guides readers through drawing a scatter diagram, describing the relationship, estimating values with a line of best fit, and emphasizes careful scale reading and using trends without necessarily passing through the axes intersection.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/scatter-diagrams-correlation-and-drawing-a-line-of-best-fit/657300/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/scatter-diagrams-correlation-and-drawing-a-line-of-best-fit/657300.png","ImageObject",300,407,{"name":92,"@type":93},"How to eat","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-26",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is a scatter diagram used for?","Question",{"text":112,"@type":113},"A scatter diagram is used to see whether a relationship exists between two sets of data or variables.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What are the three types of correlation described?",{"text":117,"@type":113},"The document describes positive correlation, where both variables increase together; negative correlation, where one increases as the other decreases; and no correlation, where there is no relationship.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you use a line of best fit to estimate values?",{"text":121,"@type":113},"Draw a line of best fit by eye, then use a straight line from the known value on one axis to the line, and across to the other axis to read the estimate.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},657300,1792977071,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":81},962093541613,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","SCATTER DIAGRAMS  \nScatter diagrams are used to see if a relationship exists between two sets of data or variables.  \nCheck first that you:  \n• understand coordinates and can plot points on a graph  \n• can understand and read scales on a graph  \n• know how to find the mean by dividing the total of the all values by the number of values.  \nCorrelation This describes the type of relationship between two sets of data.  \n| Positive Correlation\u003Cbr>\u003Cbr>As the values of one set of data increase, the values of the other set of data also increase. E. g. the time exercising and number of calories burned. | Negative correlation\u003Cbr>\u003Cbr>As the values of one set of data increase, the values of the other set of data decrease. E. g. the value of a car and its mileage. | No Correlation\u003Cbr>\u003Cbr>There is no relationship between the values of the two sets of data. E. g. the height and salary of employees of a company. |\n| --- | --- | --- |\n\nCan you give your own examples? Can you explain why a scatter diagram does or doesn’t show correlation?  \nDrawing a scatter diagram The table shows the length and corresponding weight of baby boys born at Cwmbrân Hospital.  \n\n| Length (cm) | 45 | 55 | 49 | 48 | 53 | 49 | 48 | 50 | 53 | 47 | 47 | 50 | 47 | 52 | 54 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Weight (kg) | 2·5 | 4·8 | 3·8 | 3·5 | 4·2 | 2·9 | 3·3 | 4 | 3·9 | 4 | 3·6 | 3·8 | 3 | 4·1 | 4·3 |\n\nLine of best fit  \nWhen there is positive or negative correlation, we can draw a line of best fit by eye on the scatter diagram. This line allows us to estimate a value of one variable if we know a value of the other variable.  \nc) Draw a line of best fit by eye on the scatter diagram for the length and weight of baby boys born at Cwmbrân Hospital.  \na) Draw a scatter diagram to display this data.  \nWe plot the length (horizontal axis) against the weight (vertical axis) . Here are the first five points highlighted on the diagram:  \n| Length (cm) | 45 | 55 | 49 | 48 | 53 |\n| --- | --- | --- | --- | --- | --- |\n| Weight (kg) | 2·5 | 4·8 | 3·8 | 3·5 | 4·2 |\n\nWe don’t connect the points on a scatter diagram.  \n b) Describe the relationship between the weight and length of baby boys shown by the scatter diagram.  \nLength (cm)  \nTake care when reading the scale on each of the axes. They may not be the same!  \nThe diagram shows positive correlation between the length and weight of baby boys. As the length of the baby increases the weight also increases.  \nd) Use the line of best fit to estimate the weight of a baby that is 51 cm in length.  \nDraw a straight line from 51 cm on the horizontal axis (length) to the line of best fit. Where they meet draw a line across to the vertical axis to read off an estimate for the weight. 3·9kg  \nUsing a ruler, draw a straight line that follows the trend of the data. You should try and get as many points as possible on the line. You should also try and get an equal number of points lying above the line and lying below the line.  \ne) Use the line of best fit to estimate the length of a baby that weighs 3·4 kg.  \nDraw a straight line from 3·4 kg on the vertical axis (weight) to the line of best fit. Where they meet draw a line down to the horizontal axis to read off an estimate for the length. 47cm  \nTake care: the line of best fit won’t necessarily need to go through the point of intersection of the axes.","cbCaiaDq8EcAFykq","https://ap.wps.com/l/cbCaiaDq8EcAFykq","pdf",263960,"English","# Scatter diagrams and correlation\n## Types of correlation\n## Drawing a scatter diagram\n## Line of best fit and estimation","[{\"question\":\"What is a scatter diagram used for?\",\"answer\":\"A scatter diagram is used to see whether a relationship exists between two sets of data or variables.\"},{\"question\":\"What are the three types of correlation described?\",\"answer\":\"The document describes positive correlation, where both variables increase together; negative correlation, where one increases as the other decreases; and no correlation, where there is no relationship.\"},{\"question\":\"How do you use a line of best fit to estimate values?\",\"answer\":\"Draw a line of best fit by eye, then use a straight line from the known value on one axis to the line, and across to the other axis to read the estimate.\"}]","Scatter Diagrams - Correlation and Drawing a Line of Best Fit | PDF"]