The table below shows the murder rate per 100,000 residents for a large American city over...

The table below shows the murder rate per 100,000 residents for a large American city over a twelve-year period.

Year	2000	2001	2002	2003	2004	2005	2006	2007	2008	2009	2010	2011
Rate	8.8	7.1	7.2	6.8	6.4	7.1	5.8	6.1	5.4	6.2	6.1	4.9

Enter the coefficients of the regression line for this data, rounding each to two decimal places:

	Slope:	Intercept:

Use your regression line (with rounded coefficients) to estimate this city’s murder rate in 2012. Round your answer to the nearest tenth.

	Estimate:

Solutions

Expert Solution

The necessary calculation are done below.

year(x)	rate (y)	s1=(x-xbar)^2	s2=(x-xbar)*(y-ybar)
2000	8.8	30.25	-12.6958
2001	7.1	20.25	-2.7375
2002	7.2	12.25	-2.4792
2003	6.8	6.25	-0.7708
2004	6.4	2.25	0.1375
2005	7.1	0.25	-0.3042
2006	5.8	0.25	-0.3458
2007	6.1	2.25	-0.5875
2008	5.4	6.25	-2.7292
2009	6.2	12.25	-1.0208
2010	6.1	20.25	-1.7625
2011	4.9	30.25	-8.7542
xbar=sum(x)/n	ybar=sum(y)/n	sxx=sum(s1)	sxy=sum(s2)
2005.5	6.4917	143	-34.05
b1=sxy/sxx	b0=ybar-b1*xbar
-0.23811	484.0251

The calculation are done in above table i stope bia intercept = be 0.24 484.0.3 The estimated city murder rate in 2012 is given by Rate bot bi * Year 484.0.3 0.24 * 2012 1:15 a The estimated city murder nate in 2012 is 71:15.

orchestra answered 1 year ago

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