11.2.6 WP VS 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). y X y X y X 4.4 6.6 9.7 10.6 10.8 10.9 0.19 0.15 0.57 0.70 0.67 0.63 11.8 12.1 14.3 14.7 15.0 0.47 0.70 0.60 0.78 0.81 19.2 23.1 27.4 27.7 31.8 0.69 1.30 1.05 1.06 1.74 17.3 0.78 39.5 1.62 a. 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 o². 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.
11.2.6 WP VS 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). y X y X y X 4.4 6.6 9.7 10.6 10.8 10.9 0.19 0.15 0.57 0.70 0.67 0.63 11.8 12.1 14.3 14.7 15.0 0.47 0.70 0.60 0.78 0.81 19.2 23.1 27.4 27.7 31.8 0.69 1.30 1.05 1.06 1.74 17.3 0.78 39.5 1.62 a. 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 o². 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve by hand calculations. Do not use any type of software
Transcribed Image Text:11.2.6 WP VS 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).
y
X
y
X
y
X
4.4
6.6
0.19 0.15 0.57 0.70
9.7 10.6 10.8
0.67
11.8 12.1
0.47 0.70
14.3 14.7
0.60 0.78
15.0
0.81
19.2
23.1
27.4 27.7 31.8
0.69 1.30 1.05 1.06 1.74
10.9
0.63
17.3
0.78
39.5
1.62
a. 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 o².
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.
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