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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

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 114CM
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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
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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