Estimate the expected rainfall in Problem 1 for a gauge to be installed at an altitude of 5500 ft.
Problem 1
From the following observations of variation of the mean annual rainfall with the altitude of the gauge, determine a linear prediction equation for the catchment. How well correlated are rainfall and altitude?
Gauge number | Mean annual rainfall (in.) | Altitude of gauge (1000 ft) |
1 | 22 | 4.2 |
2 | 28 | 4.4 |
3 | 25 | 4.5 |
4 | 31 | 5.4 |
5 | 32 | 5.6 |
6 | 37 | 5.6 |
7 | 36 | 5.8 |
8 | 35 | 6.0 |
9 | 36 | 6.6 |
10 | 46 | 6.6 |
11 | 41 | 6.8 |
12 | 41 | 7.0 |
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