Consider the following data on x = rainfall volume (m) and y = runoff volume (m) for a particular location. x 7 12 14 19 23 30 40 49 55 67 72 83 96 112 127 y 4 10 13 15 15 25 27 45 38 46 53 73 82 99 100 Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff. The regression equation is runoff = -2.01 + 0. 838 rainfall Predictor Coef Stdev t-ratio P Constant -2 . 011 2. 283 -0. 88 0. 394 rainfall 0. 83767 0 . 03504 23 .91 0. 000 s = 4. 998 R-sq = 97.8% R-sq (adj) = 97.68 State the appropriate null and alternative hypotheses. O Ho: B1 = 0 Ha: B1 $ 0 O Ho: B1 = 0 Ha: P1 o Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = 23.91 P-value = 0.000 State the conclusion in the problem context. (Use a = 0.05.) Reject Ho. There is a useful linear relationship between runoff and rainfall at the 0.05 level. O Reject Ho. There is not a useful linear relationship between runoff and rainfall at the 0.05 level. O Fail to reject Ho. There is not a useful linear relationship between runoff and rainfall at the 0.05 level. Fail to reject Ho. There is a useful linear relationship between runoff and rainfall at the 0.05 level. Calculate a 95% confidence interval for the true average change in runoff volume associated with a 1 m increase in rainfall volume. (Round your answers to three decimal places.) 1m 3