Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.x6.15.43.75.26.26.511.1y−1.1−4.5−6.2−4.03.6−0.1−4.4 Complete parts (a) through (e), given Σx = 44.2, Σy = −16.7, Σx2 = 311, Σy2 = 108.23, Σxy = −101.92, and r ≈ 0.0755.(b) 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 = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.)x= 6y= ^y= _____+ ______ x

Solution-: Given data: X Y 6.1 -1.1 5.4 -4.5 3.7 -6.2 5.2 -4 6.2 3.6 6.5 -0.1 11.1…

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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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Question

Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.

x	6.1	5.4	3.7	5.2	6.2	6.5	11.1
y	−1.1	−4.5	−6.2	−4.0	3.6	−0.1	−4.4

Complete parts (a) through (e), given Σx = 44.2, Σy = −16.7, Σx² = 311, Σy² = 108.23, Σxy = −101.92, and r ≈ 0.0755.

(b) 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.)