The levels of rainfall in Tuscola County, Michigan, and the numbers of murders by pushing from high places in the United States are shown in Table 49 for various years.

Let x be the level of rainfall (in mm) in Tuscola County, Michigan, and y be the number of murders by pushing from high places in the United States, both in the same year.
a. Construct a scatterplot, treating the annual level of rainfall as the explanatory variable.
b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.
c. Find the linear regression equation.
d. Construct a residual plot. Does it support any of the conclusions you made in part (b)? If yes, which one(s)?
e. Find the coefficient of determination. What does it mean in this situation?
f. On the basis of your responses to parts (a) through (e), can you conclude that murders by pushing from high places in the United States were caused by rainfall in Tuscola County, Michigan? Explain.

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Table 49 Annual Levels of Rainfall in Tuscola County, Michigan, and Numbers of Murders per Year by Pushing from High Places Level of Rainfall Number of Murders Year 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 17 18 17 16 15 17 18 19 15 20 18 2.19 2.03 2.10 2.32 2.86 2.04 2.32