et x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y.x8.79.79.88.08.38.7y9.818.620.810.211.413.1 given Σx = 53.2, Σy = 83.9, Σx2 = 474.4, Σy2 = 1280.25, Σxy = 759.71, and r ≈ 0.9303.C)Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.)x= y= (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.)r2 = explained %unexplained %

c. Suppose x defines the per capita income (independent variable) and y defines the number of…

Answered: et x be per capita income in thousands…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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et x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y.

x	8.7	9.7	9.8	8.0	8.3	8.7
y	9.8	18.6	20.8	10.2	11.4	13.1

given Σx = 53.2, Σy = 83.9, Σx² = 474.4, Σy² = 1280.25, Σxy = 759.71, and r ≈ 0.9303.

C)Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.)

x	=
y	=

(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.)