BUSINESS MATHEMATICS & STATISTICS
64
Example Find out regression equation from the following data for 7 fishes of a species : X
13.4
15.1
15.3
16.8
17.5
19.2
21.2
Y
2.1
2.3
2.3
2.6
2.7
3.0
3.3
Solution : The following table is prepared first : 2
X
Y
X.Y
X
13.4
2.1
28.14
179.56
15.1
2.3
24.73
228.01
15.3
2.3
35.19
234.09
16.8
2.6
43.68
282.24
17.5
2.7
47.25
306.25
19.2
3.0
57.6
368.64
21.2
3.3
69.96
449.44
∑ X = 118.5
∑ Y = 18.3
∑ X.Y = 316.55
∑ y = ∑ x.a + ∑ x.b
or y = a + bx
Equation (i)
Equation (ii)
∑ xy = ∑ x.a + ∑ x .b or xy = x.a + b.x 2
∑X
2
= 2048.23
2
Putting the values in the above formula :
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