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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 gallopin 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 ar 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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 In x In y 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 speedy (in strides per minute). (Round your value for a to one decimal place and y value for b to three decimal places.)

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 gallopin 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 ar 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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 In x In y 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 speedy (in strides per minute). (Round your value for a to one decimal place and y value for b to three decimal places.)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.4: Mathematical Models And Least Squares Analysis
Problem 41E
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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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 In x In y 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.) y =
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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 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 25 35 50 75 500 1000 Galloping Speed, y 195.5 183.7 174.8 164.2 121.9 112.2 In x In y 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.) y =
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