Question

For a sample of 7 people, their weight (kg) and walking speed (km/hour) were measured: Weight...

For a sample of 7 people, their weight (kg) and walking speed (km/hour) were measured:

Weight 51 62 68 76 83 89 95
Speed 6.4 6.2 5.9 5.2 4.4 3.8 3.2

If a person weighs 70 kg, what would we expect their average walking speed to be?

Math   Statistics-And-Probability   
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Answer #1

Sum of X = 524
Sum of Y = 35.1
Mean X = 74.8571
Mean Y = 5.0143
Sum of squares (SSX) = 1454.8571
Sum of products (SP) = -112.8857

Regression Equation = ŷ = bX + a

b = SP/SSX = -112.89/1454.86 = -0.0776

a = MY - bMX = 5.01 - (-0.08*74.86) = 10.8226

ŷ = -0.0776X + 10.8226

So for x=70, ŷ = (-0.0776*70) + 10.8226=5.3906=5.39

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