An article gave a scatter plot along with the least squares line of x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. The accompanying values were read from the plot. 6 12 14 19 23 30 40 49 55 67 72 81 96 112 127 y 4 10 13 15 15 25 27 48 38 46 53 71 82 99 103 USE SALT (a) Does a scatter plot of the data support the use of the simple linear regression model? O Yes, the scatterplot shows reasonable linear relationship. O Yes, the scatterplot shows a random scattering with no pattern. O No, the scatterplot shows a reasonable linear relationship. O 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 o. (Round your answer to two decimal places.) m³ (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.)