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

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

x6.15.64.05.26.26.511.1y1.8

4.0

7.2

4.0

3.60.1

4.4

Complete parts (a) through (e), givenx=44.7,

y=17.9,

x2=315.51,y2=119.41,

xy=110.15,

andr0.0883.

(a) Draw a scatter diagram displaying the data.

(b) Verify the given sumsx,y,x2,y2,xy, and the value of the sample correlation coefficientr. (Round your value forrto four decimal places.)

x=y=x2=y2=xy=r=

(c) Findx, andy. Then find the equation of the least-squares line=a+bx. (Round your answer to four decimal places.)

x=y==+x

(e) Find the value of the coefficient of determinationr2. What percentage of the variation inycan beexplainedby the corresponding variation inxand the least-squares line? What percentage isunexplained? (Round your answer forr2to four decimal places. Round your answers for the percentages to two decimal place.)

r2=explained%unexplained%

(f) Considering the values ofrandr2, does it make sense to use the least-squares line for prediction? Explain your answer.

The correlation between the variables is so high that it does not make sense to use the least-squares line for prediction.

The correlation between the variables is so low that it does not make sense to use the least-squares line for prediction.

The correlation between the variables is so high that it makes sense to use the least-squares line for prediction.

The correlation between the variables is so low that it makes sense to u

I ONLY NEED HELP WITH QUESTIONS (E) THRU (F) !!!!!!!!

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!