The data in the accompanying table is from observing the count of bacteria. The COUNT (Y) is recorded in 1000's of a BACTERIA (X₂) and the growth rate, RATE (X₂) of a type of bacteria. Below is the data set to be used for analysis. Y COUNT 9 9.1 10.2 11.3 12.2 10.6 X, BACTERIA A A C B B с 2.1. Change the dataset into a usable format for modelling. X₂ RATE 0.15 014 0.08 0.12 0.16 0.01
The data in the accompanying table is from observing the count of bacteria. The COUNT (Y) is recorded in 1000's of a BACTERIA (X₂) and the growth rate, RATE (X₂) of a type of bacteria. Below is the data set to be used for analysis. Y COUNT 9 9.1 10.2 11.3 12.2 10.6 X, BACTERIA A A C B B с 2.1. Change the dataset into a usable format for modelling. X₂ RATE 0.15 014 0.08 0.12 0.16 0.01
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
Related questions
Question
![The data in the accompanying table is from observing the count of bacteria. The COUNT (Y) is
recorded in 1000's of a BACTERIA (X₁) and the growth rate, RATE (X₂) of a type of bacteria.
Below is the data set to be used for analysis.
Y COUNT
9
9.1
10.2
11.3
12.2
10.6
X₁ BACTERIA
A
A
C
B
B
C
-1.82+.0435X
2.1. Change the dataset into a usable format for modelling.
2.2. The analyst created plots that have the following shapes. Below for example, the first plot is
simply fitting a regression with say only bacteria B and its growth rate and the second plot is a
residual plot.
X₂ RATE
0.15
014
0.08
0.12
0.16
0.01
He then realises that a multiple regression of the first order will not fit the data appropriately.
2.2.1. Provide the regression model, the regression function and the estimator (response function)
for the model that he should use to fit the data. Provide the name of such a regression model
and point out the problems that can arise with these types of regression models. [Do not
forget to centre]
2.2.2. Show the amended dataset to be used.
2.2.3. Refer to dataset in Question 2.1. The following response function is what was initially
determined
E{Y} = Bo + B₁X₁ + B₂X₂ + B3X3.
Find the response function for Bacteria A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8dca9a24-d6ea-4630-ba91-fafeae6d5bf0%2Fd7e46ab2-4805-4591-8b9a-4e63fc36c68b%2Fvtcllm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The data in the accompanying table is from observing the count of bacteria. The COUNT (Y) is
recorded in 1000's of a BACTERIA (X₁) and the growth rate, RATE (X₂) of a type of bacteria.
Below is the data set to be used for analysis.
Y COUNT
9
9.1
10.2
11.3
12.2
10.6
X₁ BACTERIA
A
A
C
B
B
C
-1.82+.0435X
2.1. Change the dataset into a usable format for modelling.
2.2. The analyst created plots that have the following shapes. Below for example, the first plot is
simply fitting a regression with say only bacteria B and its growth rate and the second plot is a
residual plot.
X₂ RATE
0.15
014
0.08
0.12
0.16
0.01
He then realises that a multiple regression of the first order will not fit the data appropriately.
2.2.1. Provide the regression model, the regression function and the estimator (response function)
for the model that he should use to fit the data. Provide the name of such a regression model
and point out the problems that can arise with these types of regression models. [Do not
forget to centre]
2.2.2. Show the amended dataset to be used.
2.2.3. Refer to dataset in Question 2.1. The following response function is what was initially
determined
E{Y} = Bo + B₁X₁ + B₂X₂ + B3X3.
Find the response function for Bacteria A.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill