Research reported the results of a study on the occurrence of oxygen and chloride in surface streams in central Washington state area. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage) y 19.20 23.10 27.40 27.70 31.80 39.50 X 0.69 1.30 1.05 1.06 1.74 1.62 y 4.40 6.60 9.70 10.60 10.80 10.90 X 0.19 0.15 0.57 0.70 0.67 0.63 y 11.80 12.10 14.30 14.70 15.00 17.30 X 0.47 0.70 0.60 0.78 0.81 0.78 ✓ Fit the simple linear regression model using the method of least squares ✓ Find an estimate of 2 ✓ Estimate the mean chloride concentration for a watershed that has 1% roadway area ✓ Find the fitted value corresponding to x = 0.47 Find the associated residual ✓ Test the hypothesis, with a = 0.01 H₁: B₁ = 0 H₁: B₁0 Estimate the standard errors in ¹B₁ ✓ Find a 99% prediction interval on chloride concentration when roadway area x = 1.0% A. 2.14169 B. 1.93591 C. 1.6629 D.y = 0.470 + 20.567x E. 0.0997 + 0.0414x F. 21.038 G. (18.2066, 23.8694) H. 10.14 I. 13.81 J. (9.8201, 32.2559) K. Fail to reject Ho L. Reject Ho

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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Research reported the results of a study on the occurrence of oxygen and chloride in surface streams in
central Washington state area. The following data are chloride concentration y (in milligrams per liter)
and roadway area in the watershed x (in percentage)
V
19.20
23.10
27.40
27.70
31.80
39.50
0.69
1.30
1.05
1.06
1.74
1.62
y
4.40
6.60
9.70
10.60
10.80
10.90
X
0.19
0.15
0.57
0.70
0.67
0.63
y
11.80
12.10
14.30
14.70
15.00
17.30
x
0.47
0.70
0.60
0.78
0.81
0.78
✓ Fit the simple linear regression model using the method of least squares
✓ Find an estimate of 2
✓ Estimate the mean chloride concentration for a watershed that has 1% roadway area
✓ Find the fitted value corresponding to x = 0.47
✓ Find the associated residual
✓ Test the hypothesis, with a = 0.01
H₁: B₁ = 0
H₁: B₁# 0
✓ Estimate the standard errors in
in B₁
✓ Find a 99% prediction interval on chloride concentration when roadway area x = 1.0%
A. 2.14169
B. 1.93591
C. 1.6629
D.ỹ = 0.470 + 20.567x
E.
0.0997 + 0.0414x
F. 21.038
G. (18.2066, 23.8694)
H. 10.14
I. 13.81
J. (9.8201, 32.2559)
K. Fail to reject Ho
L. Reject Ho
Transcribed Image Text:Research reported the results of a study on the occurrence of oxygen and chloride in surface streams in central Washington state area. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage) V 19.20 23.10 27.40 27.70 31.80 39.50 0.69 1.30 1.05 1.06 1.74 1.62 y 4.40 6.60 9.70 10.60 10.80 10.90 X 0.19 0.15 0.57 0.70 0.67 0.63 y 11.80 12.10 14.30 14.70 15.00 17.30 x 0.47 0.70 0.60 0.78 0.81 0.78 ✓ Fit the simple linear regression model using the method of least squares ✓ Find an estimate of 2 ✓ Estimate the mean chloride concentration for a watershed that has 1% roadway area ✓ Find the fitted value corresponding to x = 0.47 ✓ Find the associated residual ✓ Test the hypothesis, with a = 0.01 H₁: B₁ = 0 H₁: B₁# 0 ✓ Estimate the standard errors in in B₁ ✓ Find a 99% prediction interval on chloride concentration when roadway area x = 1.0% A. 2.14169 B. 1.93591 C. 1.6629 D.ỹ = 0.470 + 20.567x E. 0.0997 + 0.0414x F. 21.038 G. (18.2066, 23.8694) H. 10.14 I. 13.81 J. (9.8201, 32.2559) K. Fail to reject Ho L. Reject Ho
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