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Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 33% of all fatal accidents of 17-year-olds are due to speeding x 17 27 37 47 y 33 27 57 67 21 12 10 7 77 (b) Verify the given sums Ex, Ey, Ex, Ey, Exy and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex Ey = E = Ey2 = Exy (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answer to four decimal places.) y = y = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 50 50 40 40 b b 30 30 a 20 20 10 10 20 40 60 80 20 40 60 80 O-101 O-10l y y 50 50 40 40 30 d 30 20 20 10 10 20 40 60 80 20 40 60 80 O-101 O-10 (e) Find the value of the coefficient of determination r. 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

Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 33% of all fatal accidents of 17-year-olds are due to speeding x 17 27 37 47 y 33 27 57 67 21 12 10 7 77 (b) Verify the given sums Ex, Ey, Ex, Ey, Exy and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex Ey = E = Ey2 = Exy (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answer to four decimal places.) y = y = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 50 50 40 40 b b 30 30 a 20 20 10 10 20 40 60 80 20 40 60 80 O-101 O-10l y y 50 50 40 40 30 d 30 20 20 10 10 20 40 60 80 20 40 60 80 O-101 O-10 (e) Find the value of the coefficient of determination r. 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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 33% of all fatal accidents of 17-year-olds are due to speeding.

Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 33% of all fatal accidents of 17-year-olds are due to speeding 17 27 37 47 57 67 77 y 33 27 21 12 10 7 5 (b) Verify the given sums Ex, Ey, Ex2, Ey?, Exy and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex2 = Ey2 = Exy = r= (c) Find x, and y. Then find the equation of the least-squares line ý = a + bx. (Round your answer to four decimal places.) x = y = ý = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 50 50 40 40 b 30 30 a 20 20 10 10 20 40 60 80 20 40 60 80 O-10 O-10 y y 50 50 40 40 30 30 C 20 20 10 10 X 20 40 60 80 20 40 60 80 О-10 O-10 (e) 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 r2 to four decimal places. Round your answers for the percentages to two decimal place.) 12 explained % unexplained % (f) Predict the percentage of all fatal accidents due to speeding for 35-year-olds. (Round your answer to two decimal places.)
Transcribed Image Text:Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 33% of all fatal accidents of 17-year-olds are due to speeding 17 27 37 47 57 67 77 y 33 27 21 12 10 7 5 (b) Verify the given sums Ex, Ey, Ex2, Ey?, Exy and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey = Ex2 = Ey2 = Exy = r= (c) Find x, and y. Then find the equation of the least-squares line ý = a + bx. (Round your answer to four decimal places.) x = y = ý = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y y 50 50 40 40 b 30 30 a 20 20 10 10 20 40 60 80 20 40 60 80 O-10 O-10 y y 50 50 40 40 30 30 C 20 20 10 10 X 20 40 60 80 20 40 60 80 О-10 O-10 (e) 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 r2 to four decimal places. Round your answers for the percentages to two decimal place.) 12 explained % unexplained % (f) Predict the percentage of all fatal accidents due to speeding for 35-year-olds. (Round your answer to two decimal places.)
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