4. In water-resources 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: Precip., cm/yr 88.9 108.5 104.1 139.7 127 94 116.8 99.1 Flow, m/s 14.6 16.7 15.3 23.2 19.5 16.1 18.1 16.6 a. Fit a straight line to these data and predict the annual water flow if the precipitation is 120 cm. b. Compute the standard deviation, the standard error of the estimate, and the correlation coefficient for the fit. Comment on the fit of the estimate line.

4. In water-resources 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: Precip., cm/yr 88.9 108.5 104.1 139.7 127 94 116.8 99.1 Flow, m/s 14.6 16.7 15.3 23.2 19.5 16.1 18.1 16.6 a. Fit a straight line to these data and predict the annual water flow if the precipitation is 120 cm. b. Compute the standard deviation, the standard error of the estimate, and the correlation coefficient for the fit. Comment on the fit of the estimate line.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter14: Computational Engineering Tools Electronic Spreadsheets

Section: Chapter Questions

Problem 22P

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