Question 3) The following is the correlation matrix for the variables Anxiety (Y), physical activity (X1) and smoking (X2). (Each parts 3 points total 9 points) 1.Anxiety 2. Physical 3. Smoking 1. Anxiety .6 8 2. Physical .6 1 -.4 3. Smoking 8 -.4 1 a) What is the highest correlation in this table? 1. Between Anxiety and Physical Between Anxiety and Smoking 3. Between Physical and Smoking b) What is the partial correlation between anxiety and physical activity after controlling for smoking? (Tips: Here your outcome is anxiety (your y), your independent variable is physical activity (X1 or 1), and smoking as controlling variable (X2 or 2). Thus, for partial correlation you have three correlations: -.60 anxiety with physical (YX1 or Y1), .80 anxiety and smoking (YX2 or y2), and -.40 physical and smoking (X1X2 or 12). You replace in the partial formula) 1. -.51 2. -.31 3. -.24 .70 c) What is the semi correlation between anxiety and physical activity after controlling for smoking? (Tips: Form above problem you only use the same numerator in b part and only correlation for -.40 physical and smoking in denominator) 1. -.51 2. -.31 3. -.24 4. .70