ch12 SOLUTION.pdf - Chapter 12 Simple Regression and...

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Chapter 12: Simple Regression and Correlation Analysis 1 Chapter 12 Simple Regression and Correlation Analysis Ans. Not Included of Que No. 12.9, 12.18, 12.28, 12.36 12.1 Σ x = 80 Σ x 2 = 1,148 Σ y = 69 Σ y 2 = 815 Σ xy = 624 n = 7 r = ∑ ∑ n y y n x x n y x xy 2 2 2 2 ) ( ) ( = 7 ) 69 ( 815 7 ) 80 ( 148 , 1 7 ) 69 )( 80 ( 624 2 2 = ) 857 . 134 )( 714 . 233 ( 571 . 164 = r = 533 . 177 571 . 164 = -0.927 12.2 Σ x = 1,087 Σ x 2 = 322,345 Σ y = 2,032 Σ y 2 = 878,686 Σ xy = 507,509 n = 5 r = ∑ ∑ n y y n x x n y x xy 2 2 2 2 ) ( ) ( = 5 ) 032 , 2 ( 686 , 878 5 ) 087 , 1 ( 345 , 322 5 ) 032 , 2 )( 087 , 1 ( 509 , 507 2 2 = r = ) 2 . 881 , 52 )( 2 . 031 , 86 ( 2 . 752 , 65 = 5 . 449 , 67 2 . 752 , 65 = .975 12.3 Σ x = 302.2 Σ y = 96.5 Σ xy = 4,870.11 Σ x 2 = 15,259.62 Σ y 2 = 1,557.91 n =6 r = ∑ ∑ n y y n x x n y x xy 2 2 2 2 ) ( ) ( = 6 ) 5 . 96 ( 91 . 557 , 1 6 ) 2 . 302 ( 62 . 259 , 15 6 ) 5 . 96 )( 2 . 302 ( 11 . 870 , 4 2 2 = .6445 12.4 Σ x = 6,087 Σ x 2 = 6,796,149 Σ y = 1,050 Σ y 2 = 194,526 Σ xy = 1,130,483 n = 9 r = ∑ ∑ n y y n x x n y x xy 2 2 2 2 ) ( ) ( = 9 ) 050 , 1 ( 526 , 194 9 ) 087 , 6 ( 149 , 796 , 6 9 ) 050 , 1 )( 087 , 6 ( 483 , 130 , 1 2 2 = r = ) 026 , 72 )( 308 , 679 , 2 ( 333 , 420 = 705 . 294 , 439 333 , 420 = .957 12.5 Correlation between Year 1 and Year 2: Σ x = 17.09 Σ x 2 = 58.7911 Σ y = 15.12 Σ y 2 = 41.7054 Σ xy = 48.97 n = 8 r = ∑ ∑ n y y n x x n y x xy 2 2 2 2 ) ( ) ( = 8 ) 12 . 15 ( 7054 . 41 8 ) 09 . 17 ( 7911 . 58 8 ) 12 . 15 )( 09 . 17 ( 97 . 48 2 2 = r = ) 1286 . 13 )( 28259 . 22 ( 6699 . 16 = 1038 . 17 6699 . 16 = .975
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Chapter 13: Simple Regression and Correlation Analysis 2 Correlation between Year 2 and Year 3: Σ x = 15.12 Σ x 2 = 41.7054 Σ y = 15.86 Σ y 2 = 42.0396 Σ xy = 41.5934 n = 8 r =
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