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Statistical Techniques for Transportation Engineering by Naresh Davergave, Anil Shah, G Rao, Kumar Molugaram

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The regression equations are

y=16+1.6x

image

and

x=1+0.4y

image

Example 6.10: For the following data, find the regression line of y on x:

x 1 2 3 4 5 8 10
y 9 8 10 12 14 16 15

Image

Solution: We have

x y xy x2
1 9 9 1
2 8 16 4
3 10 30 9
4 12 48 16
5 14 70 25
8 16 128 64
10 15 150 100

Total:

xi=33,yi=84,xi2=219,xiyi=451

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