shoulder, with most between 90-120 cm. This is related to the humerus length. The data below gives the length and mid-shaft diameters of the humerus bones of African Antelopes. Diameter (mm) 17.6 26 31.9 38.9 45.8 51.2 58.1 64.7 66.7 80.8 82.9 Length (mm) 161.7 203.5 240.0 267.9 300.0 319.7 348.9 383.8 387.3 436.8 447.1 a) Find the best model for humerus length based on mid-shaft diameter for African Antelopes. Provide all plots and necessary working. MONASH University Science Semester 1, 2024 b) If an antelope has a mid-shaft diameter of 60 mm, what is the predicted humerus length? c) If an antelope has a humerus length of 550 mm, what would be the likely mid-shaft diameter? Are there any issues with this calculation? Question 5 [8Marks]

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 14E
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Q4
shoulder, with most between 90-120 cm. This is related to the humerus length. The
data below gives the length and mid-shaft diameters of the humerus bones of African
Antelopes.
Diameter
(mm)
17.6
26
31.9 38.9 45.8 51.2 58.1 64.7 66.7 80.8 82.9
Length
(mm)
161.7 203.5 240.0 267.9 300.0 319.7 348.9 383.8 387.3 436.8 447.1
a) Find the best model for humerus length based on mid-shaft diameter for
African Antelopes. Provide all plots and necessary working.
MONASH University
Science
Semester 1, 2024
b) If an antelope has a mid-shaft diameter of 60 mm, what is the predicted
humerus length?
c) If an antelope has a humerus length of 550 mm, what would be the likely
mid-shaft diameter? Are there any issues with this calculation?
Question 5 [8Marks]
Transcribed Image Text:shoulder, with most between 90-120 cm. This is related to the humerus length. The data below gives the length and mid-shaft diameters of the humerus bones of African Antelopes. Diameter (mm) 17.6 26 31.9 38.9 45.8 51.2 58.1 64.7 66.7 80.8 82.9 Length (mm) 161.7 203.5 240.0 267.9 300.0 319.7 348.9 383.8 387.3 436.8 447.1 a) Find the best model for humerus length based on mid-shaft diameter for African Antelopes. Provide all plots and necessary working. MONASH University Science Semester 1, 2024 b) If an antelope has a mid-shaft diameter of 60 mm, what is the predicted humerus length? c) If an antelope has a humerus length of 550 mm, what would be the likely mid-shaft diameter? Are there any issues with this calculation? Question 5 [8Marks]
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