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0.5 1.0 time A regression analysis is performed, where the printout becomes (three of the numbers in the printout have been replaced by respectively "AAA", "BBB" and "CCC"): Call: 1m (formula = mass time, data gentoo) 1Q Median 3Q -722.11 -171.94 16.31 194.81 O 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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 75E
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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printout have been replaced by respectively "AAA", "BBB" and "CCC"):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: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)
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
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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