The article Characterization of Highway Runoff in Austin, Texas, Area (Journal of Environmental Engineering [1998]: 131137) gave

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The article “Characterization of Highway Runoff in Austin, Texas, Area” (Journal of Environmental Engineering [1998]: 131–137) gave a scatterplot, along with the least-squares line for x = rainfall volume (in cubic meters) and y = runoff volume (in cubic meters), for a particular location. The following data were read from the plot in the paper:

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a. Does a scatterplot of the data suggest a linear relationship between x and y?

b. Calculate the slope and intercept of the least-squares line.

c. Compute an estimate of the average runoff volume when rainfall volume is 80.

d. Compute the residuals, and construct a residual plot. Are there any features of the plot that indicate that a line is not an appropriate description of the relationship between x and y? Explain.

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Introduction To Statistics And Data Analysis

ISBN: 9780495118732

3rd Edition

Authors: Roxy Peck, Chris Olsen, Jay L. Devore

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