Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). 17.1 82.0 21.0 15.1 17.6 84.7 19.0 17.5 15.5 14.7 y 87.8 71.4 94.1 81.4 75.2 69.7 15.4 16.2 15.0 17.2 16.0 17.0 14.4 69.4 83,3 79.6 82.6 80.6 83.5 76.3 Find x, and y. Then find the equation of the least-squares line ý = a + bx. (Round your answer to four decimal places.) y = Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r to four decimal places. Round your answers for the percentages to two decimal place.) explained % unexplained % What is the predicted tempurature when x = 19.8 chirps per second? (Round your answer to two decimal places.) °F

Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). 17.1 82.0 21.0 15.1 17.6 84.7 19.0 17.5 15.5 14.7 y 87.8 71.4 94.1 81.4 75.2 69.7 15.4 16.2 15.0 17.2 16.0 17.0 14.4 69.4 83,3 79.6 82.6 80.6 83.5 76.3 Find x, and y. Then find the equation of the least-squares line ý = a + bx. (Round your answer to four decimal places.) y = Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r to four decimal places. Round your answers for the percentages to two decimal place.) explained % unexplained % What is the predicted tempurature when x = 19.8 chirps per second? (Round your answer to two decimal places.) °F

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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