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A corporation has offices in different parts of the country. It has gathered the following information concerning the number
math   Statistics-And-Probability   
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Answer #1

Here we have give data:

X Values 650 730 810 900 102 107 1150 Y Values 40 50 54 61 82 110 121

Y- My (X-M)2 X - My 14.4286 94.4286 174.4286 264.4286 -533.5714 -528.5714 514.4286 -34 -24 -20 -13 8 36 47 208.1837 8916.7551

From above data:

Sum of X = 4449
Sum of Y = 518
Mean X = 635.5714
Mean Y = 74
Sum of squares (SSX) = 938195.7143
Sum of products (SP) = -8802

Regression Equation = ŷ = bX + a

b = SP/SSX = -8802/938195.71 = -0.00938

a = MY - bMX = 74 - (-0.01*635.57) = 79.96283

ŷ = -0.00938X + 79.96283

or

ŷ = -0.0094X + 79.96

Correct option (C)

Plot

140- 120 100 Y- Dependent 80 60 40 0 300 600 900 1200 X - Independent

ŷ = -0.0094X + 79.96

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