Problem 4b: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, he forresters obtains the actual cubic-foot volume for a total of 26 trees. regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are nown below: Coefficients Analysis of Variance Model Summary Source DF Adj SS Adj MS F-Value P-Value
Problem 4b: A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down, he forresters obtains the actual cubic-foot volume for a total of 26 trees. regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are nown below: Coefficients Analysis of Variance Model Summary Source DF Adj SS Adj MS F-Value P-Value
MATLAB: An Introduction with Applications
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![QUESTION 15
Problem 4b:
A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other
employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down,
the forresters obtains the actual cubic-foot volume for a total of 26 trees.
A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are
shown below:
Coefficients
Analysis of Variance
Model Summary
DF Adj SS Adj MS F-Value P-Value
1 234.31 234315 294.81
Source
Term
Coef SE Coef T-Value P-Value
R-sq R-sq(adj)
92.16%
Regression
0.000
Constant 1.845
0.856
2.15
0.041
0.891520 92.47%
Error
24 19.08
0.795
Act vol 0.7830 0.0456
17.17
0.000
Total
25 253.39
b) If the assistant is producing an accurate estimate of the volume, it is reasonable to expect that the slope 8, = 1. In a test of B =1 against its
%3D
alternative, report the value of the test statistic
Use two decimalas in your answer
tob](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafec63a1-e0e6-4b36-8124-b204ead83964%2Fe0638182-9ec3-49cd-82a8-bd26e6954cc3%2Fcuk86kp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 15
Problem 4b:
A forester has a unique ability to estimate the volume (in cubic feet) of trees prior to a timber sale. The timber company wants him to train other
employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped down,
the forresters obtains the actual cubic-foot volume for a total of 26 trees.
A regression model was fitted to the data, with the Estimated Volume y fitted against the Actual Volume x of each tree. The results of the regression are
shown below:
Coefficients
Analysis of Variance
Model Summary
DF Adj SS Adj MS F-Value P-Value
1 234.31 234315 294.81
Source
Term
Coef SE Coef T-Value P-Value
R-sq R-sq(adj)
92.16%
Regression
0.000
Constant 1.845
0.856
2.15
0.041
0.891520 92.47%
Error
24 19.08
0.795
Act vol 0.7830 0.0456
17.17
0.000
Total
25 253.39
b) If the assistant is producing an accurate estimate of the volume, it is reasonable to expect that the slope 8, = 1. In a test of B =1 against its
%3D
alternative, report the value of the test statistic
Use two decimalas in your answer
tob
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