Answer the following two questions using this table. The table summarizes the results of 5 different regression models with 4 candidate variables. Variable X1 X2 X3 X4 R2 Adjusted R2 0.66 0.8 0.82 Not Not Not Model 1 Included 0.65 included included included Not Not Model 2 Included Included included included Not Model 3 Included Included Included 0.67 included Not Model 4 Included Included Included 0.82 included Model 5 Included Included Included Included 0.84 0.67 0.81 0.8 Based on the table, which of the following statements are false? 1. Adding a new variable to a regression model always increases R2. II. Adding a new variable to a regression model may not increase adjusted R2. III. A model with higher number of variables would have higher R2. IV. A model with all candidate variables will always have the highest R2. I and II II and III I, III and IV Only III III and IV