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 ananimal 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, x253550755001000Galloping Speed, y194.5181.7174.8165.2122.9113.2Take the natural logarithmeach coordinate to obtain pointsthe form (In x, In y). (Round your answers to three decimal places.)Weight, x253550755001000Galloping Speed, y194.5181.7174.8165.2122.9113.2In yFind the least squares regression line for the transformed points. (Round your answers to three decimal places.)In y =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 =

lnx 3.219 3.555 3.912 4.317 6.215 6.908 lny 5.270 5.202 5.164 5.107 4.811 4.729 Hence, the…

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 s0 75 50 1000 Galloping Speed, y 165. 113.2 194.5 181.7 174.8 122.9 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 50 1000 Galloping Speed, y In x 194.5 181.7 174.8 165.2 122.9 113.2 Iny 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.)