Question

calculate correlation from the following data X:1 5 3 2 1 2 7 3. Y: 6 1 0 0 1 2 1 5​

Answer 1

answer

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 – 0.333

hope it helps you ♥️♥️

with regards @ARSH