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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman