Task 3 In this assignment, we will look at data for the weight of adult female penguins of the species Gentoo which lives around Antarctica. Researchers have collected data for a selection of penguins to learn more about them other about the development in the weight of these penguins over time. A total of 58 penguins of the same age were marked and then these were subsequently weighed at various times. The figure below shows weight (mass, measured in grams) on the y-axis and time (hours, in years after marking) on the x-axis. mass 5000 5200 4800 4000 4200 0.0 8 Residuals: Min O O time 0.5 1.0 time A regression analysis is performed, where the printout becomes (three of the numbers in the printout have been replaced by respectively "AAA", "BBB" and "CCC"): Call: 1m (formula = mass time, data gentoo) 1Q Median 3Q -722.11 -171.94 16.31 194.81 O > n <- length (mass) > n [1] 58 > mean (time) [1] 1.353312 2.0 Max 528.82 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4573.97 AAA 65.247 <2e-16 90.16 44.31 BBB 0.0466 * Signif. codes: 0 ***' 0.001 ** 0.01 * 0.05 . 0.1¹ 1 Residual standard error: 276.5 on 56 degrees of freedom Multiple R-squared: 0.06884, Adjusted R-squared: 0.05221 F-statistic: 4.14 on 1 and 56 DF, p-value: CCC Additionally, the following R commands may be useful throughout this task: *** > gt (c (0.05,0.025,0.01),df-n-2, lower.tail [1] 1.672522 2.003241 2.394801 = FALSE)
Task 3 In this assignment, we will look at data for the weight of adult female penguins of the species Gentoo which lives around Antarctica. Researchers have collected data for a selection of penguins to learn more about them other about the development in the weight of these penguins over time. A total of 58 penguins of the same age were marked and then these were subsequently weighed at various times. The figure below shows weight (mass, measured in grams) on the y-axis and time (hours, in years after marking) on the x-axis. mass 5000 5200 4800 4000 4200 0.0 8 Residuals: Min O O time 0.5 1.0 time A regression analysis is performed, where the printout becomes (three of the numbers in the printout have been replaced by respectively "AAA", "BBB" and "CCC"): Call: 1m (formula = mass time, data gentoo) 1Q Median 3Q -722.11 -171.94 16.31 194.81 O > n <- length (mass) > n [1] 58 > mean (time) [1] 1.353312 2.0 Max 528.82 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 4573.97 AAA 65.247 <2e-16 90.16 44.31 BBB 0.0466 * Signif. codes: 0 ***' 0.001 ** 0.01 * 0.05 . 0.1¹ 1 Residual standard error: 276.5 on 56 degrees of freedom Multiple R-squared: 0.06884, Adjusted R-squared: 0.05221 F-statistic: 4.14 on 1 and 56 DF, p-value: CCC Additionally, the following R commands may be useful throughout this task: *** > gt (c (0.05,0.025,0.01),df-n-2, lower.tail [1] 1.672522 2.003241 2.394801 = FALSE)
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
Related questions
Question
![Task 3
In this assignment, we will look at data for the weight of adult female penguins of the species Gentoo
which lives around Antarctica. Researchers have collected data for a selection of penguins to learn
more about them other about the development in the weight of these penguins over time. A total of
58 penguins of the same age were marked and then these were subsequently weighed at various
times. The figure below shows weight (mass, measured in grams) on the y-axis and time (hours, in
years after marking) on the x-axis.
ssew
5200
5000
4800
4600
00FF
002
4000
0
0.0
00
time
0.5
Call:
1m (formula mass time, data =
Coefficients:
1.0
A regression analysis is performed, where the printout becomes (three of the numbers in the
printout have been replaced by respectively "AAA", "BBB" and "CCC"):
Residuals:
Min
1Q Median
3Q Max
-722.11 -171.94 16.31 194.81 528.82
time
> n <- length (mass)
> n
[1] 58
> mean (time)
[1] 1.353312
gentoo)
Estimate Std. Error t value Pr(>tD)
(Intercept) 4573.97
AAA 65.247
44.31 BBB
90.16
1.5
2.0
<2e-16
0.0466 *
Signif. codes:
***' 0.001
4
**' 0.01
Residual standard error: 276.5 on 56 degrees of freedom
Multiple R-squared: 0.06884, Adjusted R-squared: 0.05221
F-statistic: 4.14 on 1 and 56 DF, p-value: CCC
Additionally, the following R commands may be useful throughout this task:
1
0.05 . 0.1
2.5
1
> gt(c(0.05,0.025,0.01), df-n-2, lower.tail
[1] 1.672522 2.003241 2.394801
=
FALSE)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1eb473a3-5d78-4231-b18a-73cbb766f295%2F1734e5ad-4baa-46d3-a805-1ae9094c1581%2F4nkghr8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Task 3
In this assignment, we will look at data for the weight of adult female penguins of the species Gentoo
which lives around Antarctica. Researchers have collected data for a selection of penguins to learn
more about them other about the development in the weight of these penguins over time. A total of
58 penguins of the same age were marked and then these were subsequently weighed at various
times. The figure below shows weight (mass, measured in grams) on the y-axis and time (hours, in
years after marking) on the x-axis.
ssew
5200
5000
4800
4600
00FF
002
4000
0
0.0
00
time
0.5
Call:
1m (formula mass time, data =
Coefficients:
1.0
A regression analysis is performed, where the printout becomes (three of the numbers in the
printout have been replaced by respectively "AAA", "BBB" and "CCC"):
Residuals:
Min
1Q Median
3Q Max
-722.11 -171.94 16.31 194.81 528.82
time
> n <- length (mass)
> n
[1] 58
> mean (time)
[1] 1.353312
gentoo)
Estimate Std. Error t value Pr(>tD)
(Intercept) 4573.97
AAA 65.247
44.31 BBB
90.16
1.5
2.0
<2e-16
0.0466 *
Signif. codes:
***' 0.001
4
**' 0.01
Residual standard error: 276.5 on 56 degrees of freedom
Multiple R-squared: 0.06884, Adjusted R-squared: 0.05221
F-statistic: 4.14 on 1 and 56 DF, p-value: CCC
Additionally, the following R commands may be useful throughout this task:
1
0.05 . 0.1
2.5
1
> gt(c(0.05,0.025,0.01), df-n-2, lower.tail
[1] 1.672522 2.003241 2.394801
=
FALSE)
Transcribed Image Text:1.) What is the value that should be
substituted for "AAA" in the printout?
Explain.
2.) What is the value that should be
substituted for "BBB" in the printout?
Explain.
3.) What is the value that should be
substituted for "CCC" in the printout?
Explain
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