Question 2 A microbiologist exposes 10,000,000 Bacillus subtilis spores to a high level disinfectant for set times to determine a lethality curve and, from that wants to predict exposure times required to kill specific inoculation levels of spores. The data is contained in the file Spores. say, where two variables are listed: mil ● time The exposure time in minutes; ● L10count log10(colony counts). a) Produce a scatter plot of L10count against time. Does there appear to be any correlation between the two variables, and if so describe the relationship? 1 b) Calculate the Pearson product moment correlation coefficient. c) Is the correlation significant? Explain your answer. d) Using time as the independent variable, and L10count as the dependent variable, perform a linear regression on the data. i) What is the equation of the regression line? ii) Explain whether the regression is significant. iii) How much variation does the regression line account for? iv) Use the regression line to determine the time taken for the colony count to drop to half of its initial value.
Question 2 A microbiologist exposes 10,000,000 Bacillus subtilis spores to a high level disinfectant for set times to determine a lethality curve and, from that wants to predict exposure times required to kill specific inoculation levels of spores. The data is contained in the file Spores. say, where two variables are listed: mil ● time The exposure time in minutes; ● L10count log10(colony counts). a) Produce a scatter plot of L10count against time. Does there appear to be any correlation between the two variables, and if so describe the relationship? 1 b) Calculate the Pearson product moment correlation coefficient. c) Is the correlation significant? Explain your answer. d) Using time as the independent variable, and L10count as the dependent variable, perform a linear regression on the data. i) What is the equation of the regression line? ii) Explain whether the regression is significant. iii) How much variation does the regression line account for? iv) Use the regression line to determine the time taken for the colony count to drop to half of its initial value.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Transcribed Image Text:Question 2
A microbiologist exposes 10,000,000 Bacillus subtilis spores to a high level disinfectant for set times to
determine a lethality curve and, from that wants to predict exposure times required to kill specific
inoculation levels of spores.
The data is contained in the file Spores. sav, where two variables are listed:
time The exposure time in minutes;
L10count log10(colony counts).
a) Produce a scatter plot of L10count against time. Does there appear to be any correlation between
the two variables, and if so describe the relationship?
b) Calculate the Pearson product moment correlation coefficient.
c) Is the correlation significant? Explain your answer.
d)
1
Using time as the independent variable, and L10count as the dependent variable, perform a linear
regression on the data.
i) What is the equation of the regression line?
ii) Explain whether the regression is significant.
iii)
How much variation does the regression line account for?
iv) Use the regression line to determine the time taken for the colony count to drop to half of
its initial value.
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