1. (Prob. 11-12, p. 438) An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp.608–619) reported the results of a study on the occurrence of sodium and chloride in surfacestreams in central Rhode Island. The following data are chloride concentration y (in milligrams perliter) and roadway area in the watershed x (in percentage).y4.46.69.710.610.810.90.190.150.570.700.670.63y11.812.114.314.715.017.30.470.700.600.780.810.78y19.223.127.427.731.839.50.691.301.051.061.741.62a.Draw a scatter diagram of the data. Does a simple linear regression model seem appropriatehere?b. Fit the simple linear regression model using the method of least squares. Find an estimate ofo?.C.Estimate the mean chloride concentration for a watershed that has 1% roadway area.d. Find the fitted value corresponding to x = 0.47 and the associated residual.

Answered: Image /qna-images/answer/b7854d73-a6f6-4e42-be72-f72791c9266f.jpg

(Prob. 11-12, p. 438) An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp. 608–619) reported the results of a study on the occurrence of sodium and chloride in surface streams in central Rhode Island. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage). 4.4 6.6 9.7 10.6 10.8 10.9 I 0.19 0.15 0.57 0.70 0.67 0.63 y 11.8 12.1 14.3 14.7 15.0 17.3 0.47 0.70 0.60 0.78 0.81 0.78 19.2 23.1 27.4 27.7 31.8 39.5 0.69 1.30 1.05 1.06 1.74 1.62 Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate here? b. Fit the simple linear regression model using the method of least squares. Find an estimate of o?. Estimate the mean chloride concentration for a watershed that has 1% roadway area. d. Find the fitted value corresponding to x = 0.47 and the associated residual. с.

(Prob. 11-12, p. 438) An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp. 608–619) reported the results of a study on the occurrence of sodium and chloride in surface streams in central Rhode Island. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage). 4.4 6.6 9.7 10.6 10.8 10.9 I 0.19 0.15 0.57 0.70 0.67 0.63 y 11.8 12.1 14.3 14.7 15.0 17.3 0.47 0.70 0.60 0.78 0.81 0.78 19.2 23.1 27.4 27.7 31.8 39.5 0.69 1.30 1.05 1.06 1.74 1.62 Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate here? b. Fit the simple linear regression model using the method of least squares. Find an estimate of o?. Estimate the mean chloride concentration for a watershed that has 1% roadway area. d. Find the fitted value corresponding to x = 0.47 and the associated residual. с.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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