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 Predict the seasonal catch for a lake with an area of 2.5 square miles. (Assume 2.5 is within the range of lake areas in the sample.) Round your answer to two decimal places. thousand per square mile
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 Predict the seasonal catch for a lake with an area of 2.5 square miles. (Assume 2.5 is within the range of lake areas in the sample.) Round your answer to two decimal places. thousand per square mile
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
Related questions
Question
![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
Predict the seasonal catch for a lake with an area of 2.5 square miles. (Assume 2.5
is within the range of lake areas in the sample.) Round your answer to two decimal
places.
thousand per square mile](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3137e42b-4884-4c94-91c7-86d268f15af1%2F81948af5-0b37-4da7-94bf-bcdc216b0dd1%2F345uwsj_processed.png&w=3840&q=75)
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
Predict the seasonal catch for a lake with an area of 2.5 square miles. (Assume 2.5
is within the range of lake areas in the sample.) Round your answer to two decimal
places.
thousand per square mile
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