The article “Characterization of Highway Runoff in Austin, Texas, Area” (J. of Envir. Engr.,  1998: 131–137) gave a scatterplot, along with the least squares line, of x = rainfall volume (m3 ) and y =  runoff volume (m3 ) for a particular location. The accompanying values were read from the plot.  x <‐ c(5, 12, 14, 17, 23, 30, 40, 47, 55, 67, 72, 81, 96, 112, 127)  y <‐ c(4, 10, 13, 15, 15, 25, 27, 46, 38, 46, 53, 70, 82, 99, 100)   Test at level 0.05 whether there is a useful linear relationship between rainfall and runoff, and then calculate a 95% confidence interval for the true average change in runoff volume associated with one unit (one m3 ) increase in rainfall volume.

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The article “Characterization of Highway Runoff in Austin, Texas, Area” (J. of Envir. Engr., 
1998: 131–137) gave a scatterplot, along with the least squares line, of x = rainfall volume (m3
) and y = 
runoff volume (m3
) for a particular location. The accompanying values were read from the plot. 
x <‐ c(5, 12, 14, 17, 23, 30, 40, 47, 55, 67, 72, 81, 96, 112, 127) 
y <‐ c(4, 10, 13, 15, 15, 25, 27, 46, 38, 46, 53, 70, 82, 99, 100) 

 Test at level 0.05 whether there is a useful linear relationship between rainfall and runoff,
and then calculate a 95% confidence interval for the true average change in runoff volume
associated with one unit (one m3
) increase in rainfall volume.

 

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