Question

# 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 Rate 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 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:

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

Regression Equation = ŷ = bX + a

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

a = MY - bMX = 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

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