Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random sample of six Denver neighborhoods gave the following information.x311111776y176371321276953In this setting we have Σx = 73, Σy = 594, Σx2 = 1457, Σy2 = 73,468, and Σxy = 9905.(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)x= y= b= ŷ= + x

We have given that Σx = 73, Σy = 594, Σx2 = 1457, Σy2 = 73,468, and Σxy = 9905x̅ = ∑x/n = 73/6 x̅ = 12.17 ȳ = Σy/n = 594/6 ȳ = 99 Now, b =[nΣxy - ∑x Σy]/[n∑x2 - (∑x)2] b = [6*9905 - 73*594]/[6*1457 - 732] b = 16068/3413 b = 4.7079Now, the required regression equation line is given by y - ȳ = b(x - x̅) y - 99 = 4.7079(x - 12.17) ŷ = 41.7208 + 4.7079x

Answered: Let x be a random variable representing…

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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Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random sample of six Denver neighborhoods gave the following information.

x	31	1	11	17	7	6
y	176	37	132	127	69	53

In this setting we have Σx = 73, Σy = 594, Σx² = 1457, Σy² = 73,468, and Σxy = 9905.

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)