A Breeder of Thoroughbred Horses Wishes to Model the Relationship $S S _ { x x } = 21,752 , S S _ { x y } = 236.5 , S S _ { y y } = 22 , \bar { x } = 332$

Essay

A breeder of Thoroughbred horses wishes to model the relationship between the gestation
period and the length of life of a horse. The breeder believes that the two variables may
follow a linear trend. The information in the table was supplied to the breeder from
various thoroughbred stables across the state.
Summary statistics yield $S S _ { x x } = 21,752 , S S _ { x y } = 236.5 , S S _ { y y } = 22 , \bar { x } = 332$ , and $\bar { y } = 22.5$ .
Calculate $S S E , s ^ { 2 }$ , and $s$ .