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Old 10-01-2012, 02:30 PM   #5 (permalink)
Harbinger[TG]
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Linear Regression | Math@TutorVista.com

Question: 10 observations on price X and supply "Y" the following data was obtained [sum] X = 130, [sum] Y = 220, [sum] X2 = 2288, [sum] 2 = 5506, [sum] XY = 3467 Find the line of regression of Y on X.
Solution:


The line of regression of Y on X

Y = a + bX

The norm equations are

[sum] Y = a + b [sum] X

[sum] XY =a [sum] X + b [sum] X2

10a + 130b = 220 ...........(i)

130a + 2288b = 3467 ..................(ii)


Solving the equations (i) and (ii), we get a = 8.8 and b =1.01

=> Y = 8.8 + (1.01)X
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