Exercise 16 of Section 12.2 gave data on x = rainfall volume and y = runoff volume (both in m3). Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff, and then calculate a confidence interval for the true average change in runoff volume associated with a 1 m3 increase in rainfall volume.

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The regression equation is runoff=-1.13+0.827 rainfall Predictor Constant Stdev t-ratio 2.368 rainali 0.3652 -1.128 0.82697 -0.48 0.642 22.64 0.000 s- 5.240 R-sg-97.5% R-sq(adj)-97.3%