Consider the following data onx= rainfall volume (m³) andy= runoff volume (m³) for a particular location.

x 6 12 14 17 23 30 40 50 55 67 72 80 96 112 127

y 4 10 13 14 15 25 27 46 38 46 53 73 82 99 102

Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff.

The regression equation is

runoff =-1.96+0.844rainfall

Predictor Coef Stdev t-ratio p

Constant -1.955 2.346- 0.83 0.420

rainfall 0.84435 0.03614 23.36 0.000

s =5.163 R-sq =97.7% R-sq(adj) =97.5%

b. Compute the test statistic value and find theP-value. (Round your test statistic to two decimal places and yourP-value to three decimal places.)

t=

P-value=

c. Calculate a 95% confidence interval for the true average change in runoff volume associated with a 1 m³increase in rainfall volume. (Round your answers to three decimal places.)

= , = m³