Skip Links

USGS - science for a changing world

Techniques and Methods 4-A8

User’s Guide to the Weighted-Multiple-Linear Regression Program (WREG version 1.0)

By Ken Eng, Yin-Yu Chen, and Julie E. Kiang

Chapter 4
Section A, Statistical analysis
Book 8, Hydrologic Analysis and Interpretation

Thumbnail of and link to report PDF (4.5 MB)Introduction

Streamflow is not measured at every location in a stream network. Yet hydrologists, State and local agencies, and the general public still seek to know streamflow characteristics, such as mean annual flow or flood flows with different exceedance probabilities, at ungaged basins. The goals of this guide are to introduce and familiarize the user with the weighted multiple-linear regression (WREG) program, and to also provide the theoretical background for program features. The program is intended to be used to develop a regional estimation equation for streamflow characteristics that can be applied at an ungaged basin, or to improve the corresponding estimate at continuous-record streamflow gages with short records. The regional estimation equation results from a multiple-linear regression that relates the observable basin characteristics, such as drainage area, to streamflow characteristics.

Posted January 2010

For additional information, please contact:
Julie Kiang
U.S. Geological Survey
12201 Sunrise Valley Drive
Reston, VA 20192

Part or all of this report is presented in Portable Document Format (PDF); the latest version of Adobe Reader or similar software is required to view it. Download the latest version of Adobe Reader, free of charge.

Suggested citation:

Eng, Ken, Chen, Yin-Yu, and Kiang, J.E., 2009, User’s guide to the weighted-multiple-linear-regression program (WREG version 1.0): U.S. Geological Survey Techniques and Methods, book 4, chap. A8, 21 p. (Also available at



Multiple-Linear Regression

Independent and Dependent-Variable Transformations

Estimation of Multiple-Linear-Regression Parameters

Performance Metrics

Definition of Regions

Use of the WREG Program

Program Requirements


Input Files

Running the Program

Set Up Model

GUI Outputs

Output Files

Other Program Notes


References Cited

Accessibility FOIA Privacy Policies and Notices

Take Pride in America logo logo U.S. Department of the Interior | U.S. Geological Survey
Page Contact Information: Contact USGS
Page Last Modified: Friday, 02-Dec-2016 15:49:25 EST