An article in the Journal of Environmental Engineering (1989, Vol. 115(3), 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 y y 0.19 4.4 0.15 6.6 0.57 9.7 0.70 10.6 0.67 10.8 0.63 10.9 0.47 11.8 0.70 12.1 0.60 14.3 0.78 14.7 0.81 15.0 0.78 17.3 0.69 19.2 1.30 23.1 1.05 27.4 1.06 27.7 1.74 31.8 1.62 39.5 1. Draw a scatter diagram of the data. 2. Fit the simple linear regression model using the method of least squares. Find an estimate of o2. 3. Estimate the mean chloride concentration for a watershed that has 1% roadway area. 4. Find the fitted value corresponding to x = 0.47 and the associated residual. 5. Test the hypothesis Ho: B1 = 0 versus H1: B1 # 0 using the analysis of variance %3D procedure with a = 0.01.
An article in the Journal of Environmental Engineering (1989, Vol. 115(3), 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 y y 0.19 4.4 0.15 6.6 0.57 9.7 0.70 10.6 0.67 10.8 0.63 10.9 0.47 11.8 0.70 12.1 0.60 14.3 0.78 14.7 0.81 15.0 0.78 17.3 0.69 19.2 1.30 23.1 1.05 27.4 1.06 27.7 1.74 31.8 1.62 39.5 1. Draw a scatter diagram of the data. 2. Fit the simple linear regression model using the method of least squares. Find an estimate of o2. 3. Estimate the mean chloride concentration for a watershed that has 1% roadway area. 4. Find the fitted value corresponding to x = 0.47 and the associated residual. 5. Test the hypothesis Ho: B1 = 0 versus H1: B1 # 0 using the analysis of variance %3D procedure with a = 0.01.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Transcribed Image Text:An article in the Journal of Environmental Engineering (1989, Vol. 115(3), 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
y
y
0.19
4.4
0.15
6.6
0.57
9.7
0.70
10.6
0.67
10.8
0.63
10.9
0.47
11.8
0.70
12.1
0.60
14.3
0.78
14.7
0.81
15.0
0.78
17.3
0.69
19.2
1.30
23.1
1.05
27.4
1.06
27.7
1.74
31.8
1.62
39.5
1. Draw a scatter diagram of the data.
2. Fit the simple linear regression model using the method of least squares. Find an
estimate of o2.
3. Estimate the mean chloride concentration for a watershed that has 1% roadway
area.
4. Find the fitted value corresponding to x = 0.47 and the associated residual.
5. Test the hypothesis Ho: B1 = 0 versus H1: B1 # 0 using the analysis of variance
procedure with a = 0.01.
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