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The article “Approach to Confidence Interval Estimation

ISBN: 9780073401331 38

Solution for problem 14SE Chapter 7

Statistics for Engineers and Scientists | 4th Edition

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Problem 14SE

Problem 14SE

The article “Approach to Confidence Interval Estimation for Curve Numbers” (R. McCuen, Journal of Hydrologic Engineering, 2002:43-48) discusses the relationship between rainfall depth and runoff depth at several locations. At one particular location, rainfall depth and runoff depth were recorded for 13 rainstorms. Following is MINITAB output for a fit of the least-squares line to predict runoff depth from rainfall depth (both measured in inches).

a. Predict runoff for a storm with 2.5 in. of rainfall

b. Someone claims that if two stroms differ in their rainfall by 1 i., then their runoffs will differ,on the average, by 1in. as well. Is this a plausible claim? Explain.

c. It is a fact that if the rainfall is 0, the runoff is 0. Is the leasy-squares line consistent with this fact? Explain.

Step-by-Step Solution:
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Runoff and Watershed AFTER A PRECIPITATION EVENT 1. Accumulation: water that reaches the surface and compounds. This is typically seen in snowfall. If accumulation is persistent and climate conditions are optimum, accumulation can lead to massive ice caps, over geological time. 2. Absorption: water penetrating the terrestrial surface to be stored as groundwater...

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