7. Calculate Regression equation of X on Y from the following
data from Mean క్రింది సమాచారం నుండి Y పై X ప్రతిగమన సమీకరణం
అంకమధ్యమము నుండి గణించండి
r
5
2
7
1
6
3
0
2
0
1
1
3
5
-
-
y
1
2
1
P
Answers
Answer:
Step-by-step explanation:The regression equation is given as y = a + bx
The formula for finding a and b is shown in the attached image
X Y XY X² Y²
1 6 6 1 36
5 1 5 25 1
3 0 0 9 0
2 0 0 4 0
1 1 1 1 1
2 2 4 4 4
7 1 7 49 1
3 5 15 9 25
∑X =24, ∑Y =16, ∑XY= 38, ∑X²= 102, ∑Y² = 68
n=8
a = [(16)(102) – (24)(38)]/8(102) – (24)^2
= [1632 – 912]/[816 – 576]
= 720/240= 3
b = [8(38) – (24)(16)]/8(102) – (24)^2
= (304 – 384)/(816 – 576)
= -80/240
= -0.3333
The equation is;y = a + bx
y = 3 – 0.333x
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