Use MS Excel to make the scatterplots and to verify the determined least-squares line using its Trendline function. The article "Characterization of Highway Run- off in Austin, Texas, Area" (Journal of Environmental En- gineering [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: 5 12 14 17 23 30 40 47 55 67 72 81 96 112 127 y 4 10 13 15 15 25 27 46 38 46 53 70 82 99 100 a. Does a scatterplot of the data suggest a linear relation- ship 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.

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Use MS Excel to make the scatterplots and to verify the determined least-squares line using its Trendline
function.
The article "Characterization of Highway Run-
off in Austin, Texas, Area" (Journal of Environmental En-
gineering [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:
5 12 14 17 23
30
40 47 55
67 72 81 96 112
127
y
4 10 13 15 15
25
27 46 38 46 53 70 82 99
100
a. Does a scatterplot of the data suggest a linear relation-
ship 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.
Transcribed Image Text:Use MS Excel to make the scatterplots and to verify the determined least-squares line using its Trendline function. The article "Characterization of Highway Run- off in Austin, Texas, Area" (Journal of Environmental En- gineering [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: 5 12 14 17 23 30 40 47 55 67 72 81 96 112 127 y 4 10 13 15 15 25 27 46 38 46 53 70 82 99 100 a. Does a scatterplot of the data suggest a linear relation- ship 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.
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