{"id":40943,"date":"2024-04-26T23:07:18","date_gmt":"2024-04-26T23:07:18","guid":{"rendered":"http:\/\/localhost\/branding\/predicted-line-of-best-fit-heightinches\/"},"modified":"2024-04-26T23:07:18","modified_gmt":"2024-04-26T23:07:18","slug":"predicted-line-of-best-fit-heightinches","status":"publish","type":"post","link":"https:\/\/sheilathewriter.com\/blog\/predicted-line-of-best-fit-heightinches\/","title":{"rendered":"Predicted line of best fit Height(inches)"},"content":{"rendered":"<p>Scatter Plot (x \u2013 Arm Span (inches) and y \u2013 Height(inches))<\/p>\n<p>Predicted line of best fit: Heightinches=0.9557*Arm spaninches-1.6226y=0.9557x-1.6226Part Three:<\/p>\n<p>On the x-axis (Arm Span) and on the y-axis (Height), in order to predict the person\u2019s Height (inches) using their Arm Span (inches).<\/p>\n<p>Equation (line of best Fit) :  \u0177=0.9557x-1.6226x &#8211; x\u0304 y &#8211; \u0233 (x &#8211; x\u0304)2 (y &#8211; \u0233)2 (x &#8211; x\u0304)(y &#8211; \u0233)<\/p>\n<p>14<\/p>\n<p>1<\/p>\n<p>9<\/p>\n<p>-21<\/p>\n<p>-7<\/p>\n<p>-1<\/p>\n<p>3<\/p>\n<p>-11<\/p>\n<p>-6<\/p>\n<p>4<\/p>\n<p>15 13.8182<\/p>\n<p>4.8182<\/p>\n<p>6.8182<\/p>\n<p>-25.1818<\/p>\n<p>-7.1818<\/p>\n<p>-0.1818<\/p>\n<p>2.8182<\/p>\n<p>-8.1818<\/p>\n<p>-3.1818<\/p>\n<p>1.8182<\/p>\n<p>13.8182 196<\/p>\n<p>1<\/p>\n<p>81<\/p>\n<p>441<\/p>\n<p>49<\/p>\n<p>1<\/p>\n<p>9<\/p>\n<p>121 <\/p>\n<p>36<\/p>\n<p>16 <\/p>\n<p>225 196<\/p>\n<p>1<\/p>\n<p>81<\/p>\n<p>441<\/p>\n<p>49<\/p>\n<p>1<\/p>\n<p>9<\/p>\n<p>121<\/p>\n<p>36<\/p>\n<p>16<\/p>\n<p>225 193.4545<\/p>\n<p>4.8182<\/p>\n<p>61.3636<\/p>\n<p>528.8182<\/p>\n<p>50.2727<\/p>\n<p>0.1818<\/p>\n<p>8.4545<\/p>\n<p>90<\/p>\n<p>19.0909<\/p>\n<p>7.2727 207.2727<\/p>\n<p>0 0 1176 (SSx) 1225.6364 (SSy) 1171 (SPxy)<\/p>\n<p>Sum of X = 506<\/p>\n<p>Sum of Y = 486<\/p>\n<p>Mean X = 46<\/p>\n<p>Mean Y = 44.1818<\/p>\n<p>Sum of squares (SSX) = 1176<\/p>\n<p>Sum of products (SP) = 1171<\/p>\n<p>Regression Equation = \u0177 = mx + b<\/p>\n<p>m = SPXY\/SSx = 1171\/1176 = 0.9957<\/p>\n<p>b = MY \u2013 m*MX = 44.18 &#8211; (1*46) = -1.6226<\/p>\n<p>\u0177 = 0.9957X &#8211; 1.6226 <\/p>\n<p>Slope \u2013 It means that on average, an increase of 1 inch in Arm Span is associated with a decrease of 1.6226 inches in Height.<\/p>\n<p>Y \u2013 Intercept \u2013 It means that on average, the expected Height is (b = -1.6226 inches)when a person\u2019s Arm span is 0 inches. In this context it is impossible for a person to have an arm span of 0 inches. <\/p>\n<p>Residuals:<\/p>\n<p>X = 25 inches<\/p>\n<p>y = 19 inches           \u0177=0.9957 25- 1.6226\u224823.27 inches <\/p>\n<p>Residualx = 25 = 19 \u2013 23.27 = -4.27 inchesX = 50 inches<\/p>\n<p>y = 46 inches           \u0177=0.9957 50- 1.6226\u224848.16 inches <\/p>\n<p>Residualx=50 = 46 \u2013 48.16 =-2.16 inchesThere is a strong Positive linear correlation between a person\u2019s Height and their Arm Span. A person\u2019s Height increases as their Arm Span increases. <\/p>\n<p> For a person whose Arm span = 66 inches:<\/p>\n<p>x = 66 inches       \u0177=0.9957 66- 1.6226\u224864.09 inchesFor a person who is 74-inches tall:<\/p>\n<p>\u0177=0.9957x- 1.6226= 74<\/p>\n<p>0.9957x=74+1.62260.9957x=75.6226 x = 75.95 inches<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Scatter Plot (x \u2013 Arm Span (inches) and y \u2013 Height(inches)) Predicted line of best fit: Heightinches=0.9557*Arm spaninches-1.6226y=0.9557x-1.6226Part Three: On<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-40943","post","type-post","status-publish","format-standard","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Predicted line of best fit Height(inches) - 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