MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y. x 24.2 18.6 17.8 14.9 19.0 17.5 y 13.0 4.6 8.8 1.3 0.8 3.6 Complete parts (a) through (e), given Σx = 112, Σy = 32.1, Σx2 = 2137.7, Σy2 = 282.89, Σxy = 654.37, and r ≈ 0.763. (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 three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained % unexplained % (f) If the percentage of 16- to 19-year-olds not in school and not graduates reaches 22.5% in a similar city, what is the predicted rate…arrow_forwardOn a survey, people are classified with the following variable: 0: identify as male 1: identify as female 2: identify as non-binary 3: other How would you classify this variable? a. Qualitative and discrete b. Qualitative and ratio c. Quantitative and discrete d. Quantitative and interval e. None of thesearrow_forwardLet x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y.x 23.8 19.1 17.5 14.9 19.0 17.5y 12.9 4.5 9.5 1.3 0.8 3.6 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)Σx = Σy = Σx2 = Σy2 = Σxy = r = b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.)x = y = y hat = _____+ ____xarrow_forward
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