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Satterplot A Scatterplot B Scatterp Bacteria Growth Bacteria Growth Bacteria C 600 7.0 7.0 500 6.0 6.0 400 5.0 5.0 300 4.0 4.0 200 3.0 3.0 100 2.0 2.0 0 2 46 8 10 12 14 16 18 20 22 24 26 28 30 1.0 0 24 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 00 04 0.8 12 1.6 Number of Bacteria In (Number of Bacteria) In (Number of Bacteria)

Satterplot A Scatterplot B Scatterp Bacteria Growth Bacteria Growth Bacteria C 600 7.0 7.0 500 6.0 6.0 400 5.0 5.0 300 4.0 4.0 200 3.0 3.0 100 2.0 2.0 0 2 46 8 10 12 14 16 18 20 22 24 26 28 30 1.0 0 24 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 00 04 0.8 12 1.6 Number of Bacteria In (Number of Bacteria) In (Number of Bacteria)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Bacteria growth was measured over a one-month period. Scatterplot A displays the number of cells measured over the recorded number of days. Two transformations of the data are shown in the next two graphs. Scatterplot B displays the relationship between the number of days and the natural log of the number of cells of bacteria. Scatterplot C displays the relationship between the natural log of the number of days and the natural log of the number of cells of bacteria.

 

Which model best represents the relationship between the number of days and the number of cells of bacteria?

A linear model would best represent the relationship because scatterplot A is fairly linear.
An exponential model would best represent the relationship because scatterplot B is fairly linear.
A linear model would best represent the relationship because scatterplot B is fairly linear.
A power model would best represent the relationship because scatterplot C is fairly linear.
Scatterplot A Scatterplot B Scatterp Bacteria Growth Bacteria Growth Bacteria G 600 7.0 7.0 500 6.0 6.0 400 5.0 5.0 300 4.0 4.0 200 3.0 3.0 100 2.0 2.0 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 0 24 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 00 0.4 0.8 12 1.6 2 Number of Days Number of Days In (Number c Number of Bacteria In (Number of Bacteria) In (Number of Bacteria)
Transcribed Image Text:Scatterplot A Scatterplot B Scatterp Bacteria Growth Bacteria Growth Bacteria G 600 7.0 7.0 500 6.0 6.0 400 5.0 5.0 300 4.0 4.0 200 3.0 3.0 100 2.0 2.0 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 0 24 6 8 10 12 14 16 18 20 22 24 26 28 30 1.0 00 0.4 0.8 12 1.6 2 Number of Days Number of Days In (Number c Number of Bacteria In (Number of Bacteria) In (Number of Bacteria)
Scatterplot C Bacteria Growth 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.0 04 0.8 12 1.6 20 24 28 32 3.6 In (Number of Days) In (Number of Bacteria)
Transcribed Image Text:Scatterplot C Bacteria Growth 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.0 04 0.8 12 1.6 20 24 28 32 3.6 In (Number of Days) In (Number of Bacteria)
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