4. [l10.41 Points] DETAILS DEVORESTAT9 12.2.0165. MY NOTES ASK Y An article gave a scatter plot along with the least squares line ofx = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. X 4 12 14 18 23 30 4O 46 55 67 72 BS 96 112 127 y 4 10 13 14 15 25 27 45 38 46 53 73 82 99 105 la use (a) Does a scatter plot of the data support the use of the simple linear regression model? 0 Yes, the scatterplot shows a reasonable linear relationship. 0 Yes, the scatterplot shows a random scattering with no pattern. 0 No, the scatterplot shows a reasonable linear relationship. 0 No, the scatterplot shows a random scattering with no pattern. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope intercept (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 47. (Round your answer to four decimal places.) m3 (d) Calculate a point estimate of the standard deviation 0'. (Round your answer to two decimal places.) 3 m (e) What proportion of the observed variation in runoff volume can be attributed to the simple linear regression relationship between runoff and rainfall? (Round your answer to four decimal places.) 5. [-/10.41 Points] DETAILS DEVORESTAT9 8.1.004.MI. Pairs of P-values and significance levels, a, are given. For each pair, state whether the observed P-value would lead to rejection of Ho at the given significance level. (a) P-value = 0.078, a = 0.05 O reject Ho O do not reject Ho (b) P-value = 0.009, a = 0.001 O reject Ho O do not reject Ho (c) P-value = 0.496, a = 0.05 O reject Ho O do not reject Ho (d) P-value = 0.078, a = 0.10 O reject Ho O do not reject Ho (e) P-value = 0.025, a = 0.01 O reject Ho O do not reject Ho (f) P-value = 0.252, a = 0.10 O reject Ho O do not reject Ho