ta are available for a river that is to be dammed: 2 104.1 139.7 127.0 94.0 116.8 99.1 15.3 23.2 19.5 16.1 18.1 16.6 regression line for the given data? Plot the linear regression curve along with nat is the prediction of the annual water flow if the precipitation is 122 cm?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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
are made. The following data are available for a river that is to be dammed:
Precip (cm/yr) 89.0 108.2 104.1 139.7 127.0 94.0 116.8 99.1
Flow (m^3/s) 14.1 17.0
15.3
23.2
19.5
16.1 18.1
16.6
1) What is the least-squares regression line for the given data? Plot the linear regression curve along with the given data.
2) Using the best-fit line, what is the prediction of the annual water flow if the precipitation is 122 cm?
Choices
27.175
19.411
18.44
21.352
Submit I Attempts 1 |
Transcribed Image Text: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 are made. The following data are available for a river that is to be dammed: Precip (cm/yr) 89.0 108.2 104.1 139.7 127.0 94.0 116.8 99.1 Flow (m^3/s) 14.1 17.0 15.3 23.2 19.5 16.1 18.1 16.6 1) What is the least-squares regression line for the given data? Plot the linear regression curve along with the given data. 2) Using the best-fit line, what is the prediction of the annual water flow if the precipitation is 122 cm? Choices 27.175 19.411 18.44 21.352 Submit I Attempts 1 |
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