x1,2,5,6 y5,0,4,3,3,3,2,6 Complete parts (a) through (e), given Σx = 14, Σy = 152, Σx2 = 66, Σy2 = 6114, Σxy = 457, and r ≈ −0.9894. Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.) x = y = yhat = ___+__ x 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.) r2 = explained % unexplained % (f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y?
x1,2,5,6 y5,0,4,3,3,3,2,6 Complete parts (a) through (e), given Σx = 14, Σy = 152, Σx2 = 66, Σy2 = 6114, Σxy = 457, and r ≈ −0.9894. Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.) x = y = yhat = ___+__ x 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.) r2 = explained % unexplained % (f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 34EQ
Related questions
Question
x1,2,5,6
y5,0,4,3,3,3,2,6
Complete parts (a) through (e), given Σx = 14, Σy = 152, Σx2 = 66, Σy2 = 6114, Σxy = 457, and r ≈ −0.9894.
Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.)
x | = | |
y | = | |
yhat | = | ___+__ x |
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.)
r2 = | |
explained | % |
unexplained | % |
(f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y?
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