Question

Given are five observations for two variables, and . 1 2 3 4 5 4 6...

Given are five observations for two variables, and . 1 2 3 4 5 4 6 8 12 14

The estimated regression equation for these data is . ^y=1+2.6x

a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE=Σ(yi-^yi) SST=Σ(yi-^yi) SSR=Σ(yi-^yi)

b. Compute the coefficient of determination r^2 (to 3 decimals). Does this least squares line provide a good fit?

c. Compute the sample correlation coefficient (to 4 decimals)

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

]

from above:

a)

SSE =1.200

SST =68.800

SSR =67.600

b)

coefficient of determination =0.983 ; this is a good fit

c)

correlation coefficient r= Sxy/(√Sxx*Syy)               = 0.9912
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