(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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Transcribed Image Text: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 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
4.4
6.6
9.7
10.6
10.8
10.9
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
y
19.2
23.1
27.4
27.7
31.8
39.5
0.69
1.30
1.05
1.06
1.74
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
o?.
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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