Question

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:

Answer 1

Sum of X = 24066
Sum of Y = 77.9
Mean X = 2005.5
Mean Y = 6.4917
Sum of squares (SS_X) = 143
Sum of products (SP) = -34.05

Regression Equation = ŷ = bX + a

b = SP/SS_X = -34.05/143 = -0.24

a = M_Y - bM_X = 6.49 - (-0.24*2005.5) = 484.03

ŷ = -0.24X + 484.03

Slope: -0.24 Intercept:484.03

For x=2012

ŷ = (-0.24*2012) + 484.03=1.15