- D Through F Please Thanks 1 (84.84 KiB) Viewed 29 times
D through F please, thanks.
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answerhappygod
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D through F please, thanks.
D through F please, thanks.
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 andy is a random variable representing temperature (°F) x 19.5 15.7 20.6 17.4 16.5 15.5 14.7 17.1 y 89.2 71.6 93.7 85.3 80.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3 LAUSE SALT Complete parts (a) through (e), given 2x248.2, xy-1202.8, Ex²4147.66, xy² - 97,109.22, 2xy-20,044.31, and r* 0.8650. (a) Draw a scatter diagram displaying the data. 20 90 90 19 19 85 18 18 ELE 17 17 16 16 75 15 15 15 19 18 20 70 75 80 85 90 70 80 75 85 90 15 16 18 17 19 20 x(chirps per second) O x (chirps per second) x (chirps per second) O x(chirps per second) (b) Verify the given sums Ex, Iy, 2x², 1⁄², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex-248.2 Ey-12028 Ex-4147.66 2²-97109.22 Exy-20044.31 r-8060 (c) Find x, and y. Then find the equation of the least-squares lineŷ -a + bx. (Round your answer to four decimal places.) x-16.5467 y-80.1867 -445815 +2.1518 x (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 20 19 18 17 16 15 70 15 17 19 18 20 70 75 80 85 90 70 75 80 15 85 90 20 17 18 x(chirps per second) O x (chirps per second) x (chirps per second) 0 x(chirps per second) (e) Find the value of the coefficient of determination. 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 to four decimal places. Round your answers for the percentages to two decimal place.) explained unexplained % % (f) What is the predicted temperature when x-16.2 chirps per second? (Round your answer to two decimal places.) 1°F m 8 8 8 8 2 2 16 16 19 18 17 16 15 90 85 80 75 16 19
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 andy is a random variable representing temperature (°F) x 19.5 15.7 20.6 17.4 16.5 15.5 14.7 17.1 y 89.2 71.6 93.7 85.3 80.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3 LAUSE SALT Complete parts (a) through (e), given 2x248.2, xy-1202.8, Ex²4147.66, xy² - 97,109.22, 2xy-20,044.31, and r* 0.8650. (a) Draw a scatter diagram displaying the data. 20 90 90 19 19 85 18 18 ELE 17 17 16 16 75 15 15 15 19 18 20 70 75 80 85 90 70 80 75 85 90 15 16 18 17 19 20 x(chirps per second) O x (chirps per second) x (chirps per second) O x(chirps per second) (b) Verify the given sums Ex, Iy, 2x², 1⁄², Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex-248.2 Ey-12028 Ex-4147.66 2²-97109.22 Exy-20044.31 r-8060 (c) Find x, and y. Then find the equation of the least-squares lineŷ -a + bx. (Round your answer to four decimal places.) x-16.5467 y-80.1867 -445815 +2.1518 x (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 20 19 18 17 16 15 70 15 17 19 18 20 70 75 80 85 90 70 75 80 15 85 90 20 17 18 x(chirps per second) O x (chirps per second) x (chirps per second) 0 x(chirps per second) (e) Find the value of the coefficient of determination. 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 to four decimal places. Round your answers for the percentages to two decimal place.) explained unexplained % % (f) What is the predicted temperature when x-16.2 chirps per second? (Round your answer to two decimal places.) 1°F m 8 8 8 8 2 2 16 16 19 18 17 16 15 90 85 80 75 16 19
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