Data on the annual precipitation (y), altitude (x1), latitude (x2), and distance from the coast (x3) for
Fantastic news! We've Found the answer you've been seeking!
Question:
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.
Related Book For
Posted Date: