[0.06/1 Points] DETAILS PREVIOUS ANSWERS BBBASICSTAT8 4.2.012.S. MY NOTES ASK YOUR TEACHER PRACTICE ANO Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right 37 47 57 67 77 87 5 8 10 17 32 40 USE SALT Complete parts (a) through (e), given Ex = 372, Zy = 112, Ex? = 24814, Ey? = 3102, Exy = 8214, and r = 0.9546. (a) Draw a scatter diagram displaying the data. 40 80 80 35 30 70 70 25 y (percentage of all fatal accidents) y (percentage of all fatal accidents) y (percentage of all fatal accidents) 60 60 20 50 50 10 40 5 5 LO 15 20 25 30 35 40 5 10 15 20 25 30 35 40 40 50 60 70 80 O x (age (in years)) x (age (in years)) O x (age (in years)) 10 35 30 y (percentage of all fatal accidents) 20 15 10 40 50 60 70 80 O x (age (in years))x (age (in years)) (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 = Ex2 = Ey2 = Exy = r = (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answer to four decimal places.) X = V= (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 40 40 35 35 30 30 70 25 y (percentage of all fatal accidents) y (percentage of all fatal accidents) y (percentage of all fatal accidents) 60 20 20 50 15 15 10 10 40 5 5 10 15 20 25 30 35 40 40 50 60 70 80 40 50 60 70 80 O x (age (in years)) O x (age (in years)) O x (age (in years)) 80 ge of all fatal accidents) '0 5080 70 y (percentage of all fatal accident 60 50 40 5 10 15 20 25 30 35 40 x (age (in years)) X O 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. your answers for the percentages to two decimal place.) 12 = explained % unexplained % (f) Predict the percentage of all fatal accidents due to failing to yield the right of way for 75-year-olds. (Round your answer to two decimal places.) % Need Help? Read It Watch It Submit