article gave a scatter plot g with the least squares line of x-rainfall volume (

Question

article gave a scatter plot g with the least squares line of x-rainfall volume (m, and ? runon volime (m for a particular location. The accompanying values were read from the plot. x8 12 14 18 23 30 40 48 55 67 72 84 96 112 127 y 4 10 13 15 15 25 27 46 38 46 53 67 82 99 105 (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 scaltterplot shows a random scattering with no pattern (b) Calculate point estimates of the slope and intercept of the population regression Ine. (Round your answers to five decimal places) slope intercept (c) Calculate a point estimate of the true average runolf volume when rainfall volume is 49. (Round your answer to four decimal places.) (d) Calculate a point estimate of the standard deviation o. (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 rainfal? (Round your answer to four decimal places

Explanation / Answer

(a) Yes, the scatter plot shows a reasonable linear relationship.

(b) Slope = 0.84531

intersect = -2.42122

(c) If X = 49, then Y = -2.42122 + 0.84531 * 49 = 38.9990?.

(d) Point estimate of standard devation is 4.84.

(e) Required proportion is 0.9795.

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