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 employees in his technique of estimation. The forrester's assistant estimates the cubic-foot volume of each tree. After the tree has been chopped 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 regressi chown below:

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QUESTION 14
Problem 4a:
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
Source
DF Adj SS Adj MS F-Value P-Value
Term
Coef SE Coef T-Value P-Value
R-sq R-sq(adj)
Regression 1 234.31 234.315 294.81
0.000
Constant 1.845
0.856
2.15
0.041
0.891520 92.47%
92.16%
Error
24 19.08
0.795
Act vol 0.7830 0.0456
17.17
0.000
Total
25 253.39
a) In a test of B, =0 against its alternative, report the value of the test statistic t: Use two decimalas in your answer
Transcribed Image Text:QUESTION 14 Problem 4a: 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 Source DF Adj SS Adj MS F-Value P-Value Term Coef SE Coef T-Value P-Value R-sq R-sq(adj) Regression 1 234.31 234.315 294.81 0.000 Constant 1.845 0.856 2.15 0.041 0.891520 92.47% 92.16% Error 24 19.08 0.795 Act vol 0.7830 0.0456 17.17 0.000 Total 25 253.39 a) In a test of B, =0 against its alternative, report the value of the test statistic t: Use two decimalas in your answer
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