uring a season in order to restock the lake with the appropriate number of young fish. The ommission could get a fairly accurate assessment of the seasonal catch by extensive “netting veeps" of the lake before and after a season, but this technique is much too expensive to be one routinely. Therefore, the commission samples a number of lakes and record the seasonal tch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple ear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) Intercept) 2.5463 0.4427 5.7513 0.0000 ize 0.0667 0.3672 0.1818 0.8578 uppose a natural log transformation on seasonal catch was deemed necessary. Below is the ast-squares regression equation: In (ŷ) = 0.76 + 0.0914x. redict the seasonal catch for the lake with lake area of 2.5 square miles. Round your answer one decimal place. thousand

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A state fisheries commission wants to estimate the number of bass caught in a given lake
during a season in order to restock the lake with the appropriate number of young fish. The
commission could get a fairly accurate assessment of the seasonal catch by extensive “netting
sweeps" of the lake before and after a season, but this technique is much too expensive to be
done routinely. Therefore, the commission samples a number of lakes and record the seasonal
catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple
linear regression was performed and the following R output obtained.
Estimate Std. Error
t value
Pr(>|t|)
(Intercept)
2.5463
0.4427
5.7513
0.0000
size
0.0667
0.3672
0.1818
0.8578
Suppose a natural log transformation on seasonal catch was deemed necessary. Below is the
least-squares regression equation: In (ý) = 0.76 + 0.0914x.
Predict the seasonal catch for the lake with lake area of 2.5 square miles. Round your answer
to one decimal place.
thousand
Transcribed Image Text:A state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 Suppose a natural log transformation on seasonal catch was deemed necessary. Below is the least-squares regression equation: In (ý) = 0.76 + 0.0914x. Predict the seasonal catch for the lake with lake area of 2.5 square miles. Round your answer to one decimal place. thousand
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