Question

Find coefficient of correlation of the following data. Use this data to estimate y when x = 12. X 3 6 7 10 Y 12 18 25 22​

Answer 1

Answer:

x

i

y

i

u

i

v

i

u

i

2

v

i

2

u

i

v

i

5 12 -8 -13 64 169 104

9 20 -4 -5 16 25 20

13 25 0 0 00 00 00

17 33 4 8 16 64 32

21 35 8 10 64 100 80

∑x

i

=65 ∑y

i

=125 ∑u

i

=0 ∑v

i

=0 ∑u

i

2

=160 ∑v

i

2

=358 ∑u

i

v

i

=236

x

=

n

1

∑x

i

=

5

1

×65=13

y

=

n

1

∑y

i

=

5

1

×125=25

ρ(x,y)=ρ(u,v)=

n∑u

i

2

−(∑u

i

2

)

2

n∑v

i

2

−(∑v

i

2

)

2

n∑u

i

v

i

−∑u

i

∑v

i

=

5×160−0

2

5×358−0

2

5×236−0×0

=

239.33

236

=0.98

Step-by-step explanation:

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