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Regression - 7 Obtaining Lines of Regression
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#Statistics
#Regression
#Linear Regression
#Classical Approach
#Obtaining Lines of Regression
Case
From the following information find out coefficient of regression, lines of regression and estimate the value of y when x = 10 and value of x when y = 10.
X 6 2 10 4 8
Y 9 11 5 8 7
Equations of lines of regression
The Regression line is also called the best line
The coefficient of regression is the slop of the best line
1. Equation of line of regression of y on x:
y = a + bx; where b = byx and a = y – byx (x). “b” is the slop of the line.
OR (y – y) = byx (x – x)
2. Equation of line of regression of x on y:
x = a + by; where: b = bxy and a = x – bxy (y). “b” is the slop of the line.
OR (x - x) = bxy (y - y)
Regression, Linear Regression, Lines of Regression, Statistics, MBA, MCA, BE, CA, CS, CWA, CMA, CPA, CFA, BBA, BCom, MCom, BTech, MTech, CAIIB, FIII, Graduation, Post Graduation, BSc, MSc, BA, MA, Diploma, Production, Finance, Management, Commerce, Engineering , Grade-11, Grade- 12
#Regression
#Linear Regression
#Classical Approach
#Obtaining Lines of Regression
Case
From the following information find out coefficient of regression, lines of regression and estimate the value of y when x = 10 and value of x when y = 10.
X 6 2 10 4 8
Y 9 11 5 8 7
Equations of lines of regression
The Regression line is also called the best line
The coefficient of regression is the slop of the best line
1. Equation of line of regression of y on x:
y = a + bx; where b = byx and a = y – byx (x). “b” is the slop of the line.
OR (y – y) = byx (x – x)
2. Equation of line of regression of x on y:
x = a + by; where: b = bxy and a = x – bxy (y). “b” is the slop of the line.
OR (x - x) = bxy (y - y)
Regression, Linear Regression, Lines of Regression, Statistics, MBA, MCA, BE, CA, CS, CWA, CMA, CPA, CFA, BBA, BCom, MCom, BTech, MTech, CAIIB, FIII, Graduation, Post Graduation, BSc, MSc, BA, MA, Diploma, Production, Finance, Management, Commerce, Engineering , Grade-11, Grade- 12
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