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 ananimal 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 gallopdepends 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 gallopingspeed y (in strides per minute).Weight, x25Galloping Speed, y 194.5355075500181.7 173.8 162.2 124.9Take the natural logarithm of each coordinate to obtain points of the form (In x, In y). (Round your answers to three decimal places.)Weight, xGalloping Speed, yIn xIn y25194.5y =35181.71000115.250173.875162.2Find the least squares regression line for the transformed points. (Round your answers to three decimal places.)In y =+In x500124.91000115.2Find 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 onedecimal place and your value for b to three decimal places.)

The given data, Weight, x 25 35 50 75 500 1000 Galloping speed, y 194.5 181.7 173.8 162.2 124.9…

Answered: Four-legged animals run with two…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Use the prompt and answer question 1 Long races, like a marathon, have hydration stations about 2-3 miles apart. When it comes to getting ready for the big race, runners must decide whether the water provided by the hydration stations is enough to get them through the race or whether they should carry their own supply of water. Some runners believe carrying additional weight (like a water bottle) will slow them down and therefore they decide to rely on the hydration stations along the race. To put this theory to the test, a random sample of 466 marathon runners is selected and various variables are recorded including the runner’s completion time in minutes and whether or not the runner carried water during the race.A 10% significance level is to be used. Here's a definition of the parameters: µ1: the population mean marathon completion time in minutes when the runner is not carrying their own water bottle µ2 : the population mean marathon completion time in minutes when the runner…
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