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Regression Line: y=mx+b The regression line (least squares line, best-fit line) associated with the points (x, y). (X2. Y2) (Xaya) is the line that gives the minimum sum of squares error SSE. The regression line is y-mx+b, where m and b are computed as follows: m= Q7) The following table gives the approximate economic value associated with various levels of oil recovery in Texas n(Exy)-(Ex) (y) n (x²)-(Ex)² (Σv) - m(Σx) n Percent Recovery (%) 10 40 50 80 Economic Value (S Billions) 200 900 1000 2000 Find the regression line and use it to estimate the economic value associated with a recovery level of 70%. Solution: X Y x² xy The fit line (regression line): y=mx+bis m= b= Please: Send the solution online by in Google Classroom. Best Regards Ms. Ozwah Alharbi

Regression Line: y=mx+b The regression line (least squares line, best-fit line) associated with the points (x, y). (X2. Y2) (Xaya) is the line that gives the minimum sum of squares error SSE. The regression line is y-mx+b, where m and b are computed as follows: m= Q7) The following table gives the approximate economic value associated with various levels of oil recovery in Texas n(Exy)-(Ex) (y) n (x²)-(Ex)² (Σv) - m(Σx) n Percent Recovery (%) 10 40 50 80 Economic Value (S Billions) 200 900 1000 2000 Find the regression line and use it to estimate the economic value associated with a recovery level of 70%. Solution: X Y x² xy The fit line (regression line): y=mx+bis m= b= Please: Send the solution online by in Google Classroom. Best Regards Ms. Ozwah Alharbi

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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Regression Line: y = mx + b The regression line (least squares line, best-fit line) associated with the points (X₁. Y₁). (X2. y2). (Xa. Ya) is the line that gives the minimum sum of squares error SSE. The regression line is y-mx+b, where m and b are computed as follows: m= n(Σxy) - (Σκ) (Σy) n (Σxi) - (Σx)= (Σy) -- m(Σx) n b = Q7) The following table gives the approximate economic value associated with various levels of oil recovery in Texas Percent Recovery (%) 10 40 50 80 Economic Value (S Billions) 200 900 1000 2000 Find the regression line and use it to estimate the economic value associated with a recovery level of 70%. Solution: X Y x² xy The fit line (regression line): y = mx + bis m= b= Please: Send the solution online by in Google Classroom. Best Regards Ms. Ozwah Alharbi
Transcribed Image Text:Regression Line: y = mx + b The regression line (least squares line, best-fit line) associated with the points (X₁. Y₁). (X2. y2). (Xa. Ya) is the line that gives the minimum sum of squares error SSE. The regression line is y-mx+b, where m and b are computed as follows: m= n(Σxy) - (Σκ) (Σy) n (Σxi) - (Σx)= (Σy) -- m(Σx) n b = Q7) The following table gives the approximate economic value associated with various levels of oil recovery in Texas Percent Recovery (%) 10 40 50 80 Economic Value (S Billions) 200 900 1000 2000 Find the regression line and use it to estimate the economic value associated with a recovery level of 70%. Solution: X Y x² xy The fit line (regression line): y = mx + bis m= b= Please: Send the solution online by in Google Classroom. Best Regards Ms. Ozwah Alharbi
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