In: Statistics and Probability
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(yi − ŷi)2,
SST = Σ(yi − y)2,
and
SSR = Σ(ŷi − y)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.)