We discussed the women’s 2016 Olympic heptathlon in Chapter 5. Here are the results from the highjump, 800-meter run, and long jump for the 27 women who successfully completed all three events inthe 2016 Olympics: Women Heptathlon 2016 Revisited. A cvs file is also accessible in this homeworksub-module. We are wondering whether the two jumping events are associated.i) Perform a regression1 of the long-jump results on the high-jumps results. What is the regressionline? What does the slope mean?ii) What percentage of the variability in long jumps can be accounted for by high-jump performances?iii) Provide the scatterplot of residuals against high-jump2. Can you spot a point having high lever-age? Explain.iv) Perform a new regression omitting this point. What is the new slope, the new R2? What does itsay about this point?v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare”estimate of error standard deviation” to the standard deviation of the long jumps.) NameEvelis AguilarNadine BroersenKaterina CachovVanessa CheferIvona DadicJessica Ennis-HillAlysbeth FelixLaura Ikauniece-AdmidinaKatarina Johnson-ThompsonAkela JonesHanna KasyanovaEliska KlucinovaXenia KrizsanHeather Miller-KochAntoinette Nana Djimou IdaBarbara NwabaJennifer OeserClaudia RathYorgelis RodriguezCarolin SchaferBrianne Theisen-EatonNafissatou ThiamAnouk VetterNadine VisserKendell WilliamsSofia YfantidouGyorgyi Zsivoczky-FarkasHigh Jump1.741.771.771.681.771.891.681.771.981.891.771.81.771.81.771.831.861.741.8611.831.861.981.771.681.831.651.86800 m134.32137.55138.95134.2135.64129.07135.32129.43130.47161.12136.58142.81133.46126.82140.36131.61133.82127.2234.65136.52129.5136.54137.71134.47136.24150.08131.76Long Jump6.236.155.916.16.056.346.226.126.516.35.886.086.086.166.435.816.196.556.256.26.486.586.16.356.315.516.31 1. We discussed the women's 2016 Olympic heptathlon in Chapter 5. Here are the results from the highjump, 800-meter run, and long jump for the 27 women who successfully completed all three events inthe 2016 Olympics: Women Heptathlon 2016 Revisited. A cvs file is also accessible in this homeworksub-module. We are wondering whether the two jumping events are associated.i) Perform a regression of the long-jump results on the high-jumps results. What is the regressionline? What does the slope mean?ii) What percentage of the variability in long jumps can be accounted for by high-jump performances?iii) Provide the scatterplot of residuals against high-jump? Can you spot a point having high lever-age? Explain.iv) Perform a new regression omitting this point. What is the new slope, the new R²? What does itsay about this point?v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare"estimate of error standard deviation” to the standard deviation of the long jumps.)

Answered: We discussed the women’s 2016 Olympic…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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Question

We discussed the women’s 2016 Olympic heptathlon in Chapter 5. Here are the results from the high
jump, 800-meter run, and long jump for the 27 women who successfully completed all three events in
the 2016 Olympics: Women Heptathlon 2016 Revisited. A cvs file is also accessible in this homework
sub-module. We are wondering whether the two jumping events are associated.
i) Perform a regression1 of the long-jump results on the high-jumps results. What is the regression
line? What does the slope mean?
ii) What percentage of the variability in long jumps can be accounted for by high-jump performances?
iii) Provide the scatterplot of residuals against high-jump2. Can you spot a point having high lever-
age? Explain.
iv) Perform a new regression omitting this point. What is the new slope, the new R2? What does it
say about this point?
v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare
”estimate of error standard deviation” to the standard deviation of the long jumps.)

Name
Evelis Aguilar
Nadine Broersen
Katerina Cachov
Vanessa Chefer
Ivona Dadic
Jessica Ennis-Hill
Alysbeth Felix
Laura Ikauniece-Admidina
Katarina Johnson-Thompson
Akela Jones
Hanna Kasyanova
Eliska Klucinova
Xenia Krizsan
Heather Miller-Koch
Antoinette Nana Djimou Ida
Barbara Nwaba
Jennifer Oeser
Claudia Rath
Yorgelis Rodriguez
Carolin Schafer
Brianne Theisen-Eaton
Nafissatou Thiam
Anouk Vetter
Nadine Visser
Kendell Williams
Sofia Yfantidou
Gyorgyi Zsivoczky-Farkas
High Jump
1.74
1.77
1.77
1.68
1.77
1.89
1.68
1.77
1.98
1.89
1.77
1.8
1.77
1.8
1.77
1.83
1.86
1.74
1.861
1.83
1.86
1.98
1.77
1.68
1.83
1.65
1.86
800 m
134.32
137.55
138.95
134.2
135.64
129.07
135.32
129.43
130.47
161.12
136.58
142.81
133.46
126.82
140.36
131.61
133.82
127.22
34.65
136.52
129.5
136.54
137.71
134.47
136.24
150.08
131.76
Long Jump
6.23
6.15
5.91
6.1
6.05
6.34
6.22
6.12
6.51
6.3
5.88
6.08
6.08
6.16
6.43
5.81
6.19
6.55
6.25
6.2
6.48
6.58
6.1
6.35
6.31
5.51
6.31

1. We discussed the women's 2016 Olympic heptathlon in Chapter 5. Here are the results from the high
jump, 800-meter run, and long jump for the 27 women who successfully completed all three events in
the 2016 Olympics: Women Heptathlon 2016 Revisited. A cvs file is also accessible in this homework
sub-module. We are wondering whether the two jumping events are associated.
i) Perform a regression of the long-jump results on the high-jumps results. What is the regression
line? What does the slope mean?
ii) What percentage of the variability in long jumps can be accounted for by high-jump performances?
iii) Provide the scatterplot of residuals against high-jump? Can you spot a point having high lever-
age? Explain.
iv) Perform a new regression omitting this point. What is the new slope, the new R²? What does it
say about this point?
v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare
"estimate of error standard deviation” to the standard deviation of the long jumps.)

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iv) Perform a new regression omitting this point. What is the new slope, the new R2? What does it
say about this point?
v) Do you think this model is useful? Would you use it to predict long-jump performance? (Compare
”estimate of error standard deviation” to the standard deviation of the long jumps.

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