Calculate the SS'sSSx=? SSy=? SSz=? Calculate the SP's SPxy=? SPxz=? SPyz=? Calculate the r'sRxy =? Rxz =? Ryz =? What is the partial correlation between crime and prevention, holding population constant? R xy-z = ?

A researcher records the annual number of serious crimes and the amount of money spent on crime prevention in several towns and cites across the country. The resulting data show a strong positive correlation between the number of serious crimes and the amount spent on crime prevention. However, the researcher suspects that the positive correlation is actually caused by population size: as population increases, the amount spent on crime prevention and the number of crimes committed also increase. The researcher thinks that if population is controlled, there would be a negative correlation between the amount spent on crime prevention and the number of serious crimes. The following data show the pattern of results obtained. Data Table # Crimes (X) $ for Prevention (Y) Pop. Size (Z) Municipality (cases per mo.) ($mil per year) (thousands) VO 7 3 4 4 7 11 20 WHOOVAA 12 18 BE BOOVaUAWNA 17 9 15 15 32 14 16 34 16 11 30 17 12 33