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...


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

5.75.34.35.26.26.511.1


y


−1.8


−4.3


−8.0


−4.0

3.6
−0.1


−4.4



Complete parts (a) through (e), given Σx
= 44.3,


Σy = −19,

Σx
2
= 310.01, Σy
2
= 134.06,


Σxy = −115.42,

and
r
≈ 0.098.



(b) Verify the given sums Σx, Σy, Σx
2, Σy
2, Σxy, and the value of the sample correlation coefficient
r. (Round your value for
r
to three decimal places.)





























Σx
=
Σy
=
Σx
2
=
Σy
2
=
Σxy
=

r
=



Jun 01, 2022
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