Consider the following data on x-rainfall volume (m3) and y = runoff volume (m3)

Question

Consider the following data on x-rainfall volume (m3) and y = runoff volume (m3) for a particular location x5 12 14 18 23 30 40 48 55 67 72 82 96 112 127 y4 10 13 15 15 25 27 47 38 46 53 71 82 99 105 Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff. The regression equation is runoff = -1.91 + 0.847 rainfall Predictor Constant rainfal.1 s=5.075 R-sq=97.8% R-sq (adj )=97.6% Stdev t-ratio 2.300 oe -1.907 0.84720 0.03540 -0.83 0.422 23.93 0.000 State the appropriate null and alternative hypotheses. H0: 1 = 0 Hai 1 > 0 Hai 1

Explanation / Answer

From the minitab output,

Hypotheses: Option B is correct.

t = 23.93

P - value = 0.000

Conclusion: Option A is correct.

From the statistical software output, the 95% confidence interval for slope is:

(0.771, 0.924)

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