Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times, whereas an animal that is galloping has all four feet off the ground at some point in its stride. The number of strides per minute at which an animal breaks from a trot to a gallop depends on the weight of the animal. Use the table and the method of this example to find an equation that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute). 25 Weight, x Galloping Speed, y 192.5 35 184.7 Need Help? Read It Submit Answer 50 174.8 35 184.7 75 165.2 Take the natural logarithm of each coordinate to obtain points of the form (In x, In y). (Round your answers to three decimal places.) Weight, x 50 500 25 192.5 Galloping Speed, y 174.8 121.9 In x In y 500 121.9 1000 113.2 75 165.2 Find the least squares regression line for the transformed points. (Round your answers to three decimal places.) In y In x + Find an equation of the form y= ax that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute). (Round your value for a to one decimal place and your value for b to three decimal places.) 1000 113.2
Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times, whereas an animal that is galloping has all four feet off the ground at some point in its stride. The number of strides per minute at which an animal breaks from a trot to a gallop depends on the weight of the animal. Use the table and the method of this example to find an equation that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute). 25 Weight, x Galloping Speed, y 192.5 35 184.7 Need Help? Read It Submit Answer 50 174.8 35 184.7 75 165.2 Take the natural logarithm of each coordinate to obtain points of the form (In x, In y). (Round your answers to three decimal places.) Weight, x 50 500 25 192.5 Galloping Speed, y 174.8 121.9 In x In y 500 121.9 1000 113.2 75 165.2 Find the least squares regression line for the transformed points. (Round your answers to three decimal places.) In y In x + Find an equation of the form y= ax that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute). (Round your value for a to one decimal place and your value for b to three decimal places.) 1000 113.2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times, whereas an animal that is galloping has all four feet off the ground at some point in its stride. The number of strides
per minute at which an animal breaks from a trot to a gallop depends on the weight of the animal. Use the table and the method of this example to find an equation that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute).
Weight, x
Galloping Speed, y
Need Help?
Submit Answer
25
192.5
+
Take the natural logarithm of each coordinate to obtain points of the form (In x, In y). (Round your answers to three decimal places.)
Weight, x
50
174.8
Galloping Speed, y
In x
In y
35
50
184.7 174.8
25
192.5
Read It
75
165.2
35
184.7
500
121.9
1000
113.2
Find the least squares regression line for the transformed points. (Round your answers to three decimal places.)
In y =
In x
75
165.2
500
121.9
Find an equation of the form y = axb that relates an animal's weight x (in pounds) and its lowest galloping speed y (in strides per minute). (Round your value for a to one decimal place and your value for b to three decimal places.)
y =
1000
113.2
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