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Xy 8. (a) Complete the table and find (b) the equation of the line of best fit in the form y = ax + b with formulas needed to
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8.a.

x y x^2 xy y^2
3 9 9 27 81
4 8 16 32 64
6 7 36 42 49
7 5 49 35 25

b. X-M₂ V . M (X - MX)2 (X - MX/Y - My) w NN -0.25 -4.5 SS: SP: -9

Sum of X = 20
Sum of Y = 29
Mean X = 5
Mean Y = 7.25
Sum of squares (SSX) = 10
Sum of products (SP) = -9

Regression Equation = ŷ = bX + a

b = SP/SSX = -9/10 = -0.9

a = MY - bMX = 7.25 - (-0.9*5) = 11.75

ŷ = -0.9X + 11.75

c. We will find correlation using excel formula
CORREL(L6:L9,M6:M9)=-0.9621
d. For x=10, ŷ = (-0.9*10)+ 11.75=2.75
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