DS212_HW3_Solutions

DS212_HW3_Solutions - DS 212 Business Statistics Soorapanth...

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DS 212 Business Statistics Soorapanth Homework #3: Chapter 12 Simple Regression Analysis and Correlation 12.6 x y 12 17 21 15 28 22 8 19 20 24 0 5 10 15 20 25 30 0 5 10 15 20 25 30 x Σ x = 89 Σ y = 97 Σ xy = 1,767 Σ x 2 = 1,833 n = 5 The equation of the regression is y ˆ = 16.51 + 0.162 x 1 1 1 2 2 1 0 1 0.162 ( ) 16.51 n i i i n i i x y nx y b x n x b y b x = = - = = - = - =
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DS 212 Business Statistics Soorapanth 12.7 x _ _ y _ 140 25 119 29 103 46 91 70 65 88 29 112 24 128 Σ x = 571 Σ y = 498 Σ xy = 30,099 Σ x 2 = 58,293 n = 7 The equation of the regression is y ˆ = 144.414 – 0.898 x 2 1 1 2 2 1 0 1 0.898 ( ) 144.414 n i i i n i i x y nx y b x n x b y b x = = - = = - - = - =
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DS 212 Business Statistics Soorapanth 12.8 (Advertising) x (Sales) y 12.5 148 3.7 55 21.6 338 60.0 994 37.6 541 6.1 89 16.8 126 41.2 379 Σ x = 199.5 Σ y = 2,670 Σ xy = 107,610.4 Σ x 2 = 7,667.15 n = 8 The equation of the regression is y ˆ = -46.292 + 15.24 x 12.11 No. of Farms ( x ) Avg. Size ( y
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DS212_HW3_Solutions - DS 212 Business Statistics Soorapanth...

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