Question

An artide 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. x14 12 14 17 23 30 40 52 55 67 72 85 96 112 127 y14 10 13 15 15 25 27 45 38 46 53 71 82 99 100 (a) Does a scatter plot of the data support the use of the simple linear regression model? Yes, the scatterplot shows a 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 patterm. (b) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to five decimal places.) slope intercept1.44711 82469 (c) Calculate a point estimate of the true average runoff volume when rainfall volume is 53. (Round your answer to four decimal places.) 42.2015 | m3 (d) Calculate a point estimate of the standard deviation σ' (Round your answer to two decimal places.) (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.)

Answer 1

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