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sol_API-202A+Assignment+2+S09

sol_API-202A+Assignment+2+S09 - API-202A Empirical Methods...

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1 API-202A Empirical Methods II Spring 2009 Assignment 2 Suggested Solutions Section I: Smoking and Cancer (The answer below is more complete than what you were asked for.) X i X X i ( ) X X i 2 Y i Y Y i 2 ) ( Y Y i ( )*( ) X X Y Y i i 1 (Holland) 460 -236 55696 245 -15 225 3540 2 (Finland) 1115 419 175561 350 90 8100 37710 3 (GB) 1145 449 201601 465 205 42025 92045 4 (Canada) 510 -186 34596 150 -110 12100 20460 5 (Norway) 250 -446 198916 90 -170 28900 75820 (...) 3480 666370 1300 91350 229575 (...) / N 696 260 1. a) 1 1 2 1 ( )( ) 229575 ˆ 0.3445 666370 ( ) n i i i n i i X X Y Y X X b) 0 1 ˆ ˆ 260 (0.3445)(696) 20.23 Y X c) 1: Holland 0 1 1 1 2 2 3 3 4 4 ˆ ˆ ˆ ˆ 20.23 (0.3445)( ) 20.23 (0.3445)(460) 178.7 ˆ 20.23 (0.3445)( ) 20.23 (0.3445)(1115) 404.4 ˆ 20.23 (0.3445)( ) 20.23 (0.3445)(1145) 414.7 ˆ 20.23 (0.3445)( ) 20.23 (0.3445)(510 i i Y X Y X Y X Y X Y X 5 5 ) 195.9 20.23 (0.3445)( ) 20.23 (0.3445)(250) 106.3 Y X d) 1: Holland 1 2 3 4 5 ˆ ˆ ˆ 245 178.7 66.3 ˆ 350 404.4 54.4 ˆ 465 414.7 50.3 ˆ 150 195.9 45.9 ˆ 90 106.3 16.3 i i i u Y Y u u u u u      

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