Data on the annual precipitation (y), altitude (x1), latitude (x2), and distance from the coast (x3) for a particular state were collected for 10 meteorological stations. The observations are listed in the table below. Consider thefirst-order model

y =β0+β1x1+β2x2+β3x3+ε.

Station	y (in)	x1(ft)	x2 (°)	x3 (mi)
1	38.74	41	44.7	2
2	24.28	345	40.2	100
3	18.57	4151	33.7	71
4	37.13	75	39.3	2
5	49.82	6755	39.4	147
6	21.46	52	37.5	6
7	18.3	25	38.5	81
8	13.24	95	37.1	30
9	42.65	6362	36.3	147
10	15	70	36.3	14

a. Fit the model to the data and give the least squares prediction equation.

Y=( ) + ( )x1 + ( )x2 + ( )x3

b.Predict, with 90% confidence, the annual precipitation for station 3.

c. Predict, with 95% confidence, the annual precipitation for station 3.

Answer rating: 100% (QA)

Dependent variable y annual precipitation There are three independent variables x1 altitude x2 latit... View the full answer