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. x 6 12 14 18 23 30 40 52 55 67 72 81 96 112 127 y 4 10 13 15 15 25 27 45 38 46 53 70 82 99 104 Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff The regression equation is runoff-2.41 0.847 rainfall Predictor Constant rainfall s= 4.563 R-sq=98.2% R-sq (adj )=98.0% Coef -2.408 0.84735 Stdev 2.081 0.03196 t-ratio -1.16 0.268 26.51 0.000 State the appropriate null and alternative hypotheses. Hai A * 0 H0: 1 = 0 Ha: 1 > 0 Ho: 1 = 0 Ha: 1

Explanation / Answer

Consider the following data on x = rainfall volume (m3) and y-runoff volume (m3) for a particular location. x 6 12 14 18 23 30 40 52 55 67 72 81 96 112 127 y 4 10 13 15 15 25 27 45 38 46 53 70 82 99 104 Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff The regression equation is runoff-2.41 0.847 rainfall Predictor Constant rainfall s= 4.563 R-sq=98.2% R-sq (adj )=98.0% Coef -2.408 0.84735 Stdev 2.081 0.03196 t-ratio -1.16 0.268 26.51 0.000 State the appropriate null and alternative hypotheses. Hai A * 0 H0: 1 = 0 Ha: 1 > 0 Ho: 1 = 0 Ha: 1

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