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 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a natural log transformation on the explanatory variable fırst.

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
If a scatterplot showed a non-linear relationship between the response and explanatory
variables, what should be done?
O Nothing. Continue the analysis as is.
Stop the analysis.
Perform a natural log transformation on the response variable first.
O Perform a natural log transformation on the explanatory variable fırst.
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 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a natural log transformation on the explanatory variable fırst.
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