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The following data were collected on the height (inches) and weight (pounds) of women swimmers where...

The following data were collected on the height (inches) and weight (pounds) of women swimmers where height is the independent variable and weight is the dependent variable.

Height (x) = 68, 64, 62, 65, 66
Weight (y) = 132, 108, 102, 115, 128

a)Compute SSE, SST, and SSR

b)Compute the coefficient of determination r2. Comment on the goodness of fit.

c)Compute the sample correlation coefficient.

math   Statistics-And-Probability   
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Answer #1

a)

SSE =Syy-(Sxy)2/Sxx= 51.000
SST=Syy= 656.0000
SSR =(Sxy)2/Sxx = 605.0000

b)

Coeffficient of determination R^2 =SSR/SST= 0.9223

since R2 is very high, this tells us that values fit in the model very well

c)

correlation coefficient r= Sxy/(√Sxx*Syy) = 0.9603
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