PRE-EXAM (MODULE 3)
PROBLEM 1
A. SOLVE FOR THE VALUES OF U, V, W, X, Y, & Z using Gaussian Elimination
PROBLEM 2
A. SOLVE FOR THE VALUES OF U, V, W, X, Y, & Z using Gauss-Jordan Method
PROBLEM 3
In water-resource engineering, the sizing of reservoirs depends on accurate estimates of water flow in
the river that is being impounded. For some rivers, long-term historical records of such flow data are
difficult to obtain. In contrast, meteorological data on precipitation are often available for many years
past. Therefore, it is often useful to determine a relationship between flow and precipitation. This
relationship can then be used to estimate flows for years when only precipitation measurements were
made. The following data are available for a river that is to be dammed
Precipitation,
88.9
118.5
95.1
139.5
137
114
106.8
111.1
cm/yr
14.6
15.7
12.3
21.2
18.5
11.1
15.1
16.6
Flow, 𝑚3 /𝑠
a. Fit a straight line to these data, and
b. Compute the standard deviation, the standard error of estimate, and the correlation
coefficient for the fit.