Question

In: Statistics and Probability

The estimated regression equation for these data is ŷ = 70 − 3x.

Consider the data.

xi

3 12 6 20 14

yi

55 35 60 10 25

The estimated regression equation for these data is

ŷ = 70 − 3x.

(a)

Compute SSE, SST, and SSR using equations

SSE = Σ(yiŷi)2,

SST = Σ(yiy)2,

and

SSR = Σ(ŷiy)2.

SSE=

SST=

SSR=

(b)

Compute the coefficient of determination r2. (Round your answer to three decimal places.)

r2 =

(c)

Compute the sample correlation coefficient. (Round your answer to three decimal places.)

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