II. Multiple Regression A sample of 15 countries was surveyed in order to examine the relationship between the Infant Mortality rate (Y), the Literacy rate (X1), the Population Density (X2), the N. of Inhabitants Per Physician (X3), and Income per Capita (X4). The data collected were summarized with the following statistics. Variable X S b Y 48.36 23.68 X1 81.05 23.48 -1.05 X2 88.47 141.85 .05 X3 2062.27 2009.25 .002 X4 12000.00 6000.00 -.003 1. Find the multiple regression equation. Interpret its meaning and the meaning of its slopes and constant. 2. What is the predicted Y for a country with X1=60, X2=150, X3=875 and X4=$9000? 3. Which independent variable has the greatest impact on the dependent variable? Rank the independent variables in order in terms of their impact on the dependent variable. 4. Given SSE=2174.24 and SST-7848.42, find the explained variance and interpret its meaning. 5. Find the unexplained variance and explain its meaning.