PhysicsStats - -- =-= ⋅ = -- ∑ ∑ 1 1 2 2 2 2 2 2 ( )(...

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i X Y X X - 2 ( ) X X - Y Y - 2 ( ) Y Y - XY X 2 Y 2 1 2 3 4 5 6 7 8 9 10 1.0000 1.0000 2.0000 2.0000 3.0000 3.0000 4.0000 4.0000 5.0000 5.0000 1.4500 1.6500 2.8500 3.0500 4.4000 4.6000 5.8000 6.2000 7.3000 7.9000 –2.0000 –2.0000 –1.0000 –1.0000 0.0000 0.0000 1.0000 1.0000 2.0000 2.0000 4.0000 4.0000 1.0000 1.0000 0.0000 0.0000 1.0000 1.0000 4.0000 4.0000 –3.0700 –2.8700 –1.6700 –1.4700 –0.1200 0.0800 1.2800 1.6800 2.7800 3.3800 9.4249 8.2369 2.7889 2.1609 0.0144 0.0064 1.6384 2.8224 7.7284 11.424 1.4500 1.6500 5.7000 6.1000 13.200 13.800 23.200 24.800 36.500 39.500 1.0000 1.0000 4.0000 4.0000 9.0000 9.0000 16.000 16.000 25.000 25.000 2.1025 2.7225 8.1225 9.3025 19.360 21.160 33.640 38.440 53.290 62.410 30.000 45.200 0.0000 20.000 0.0000 46.246 165.90 110.00 250.55 1 1 (1.0000 1.0000 2.0000 2.0000 3.0000 3.0000 10 4.0000 4.0000 5.0000 5.0000) 3.0000 i X X n = = + + + + + + + + + = 1 1 (1.4500 1.6500 2.8500 3.0500 4.4000 4.6000 10 5.8000 6.2000 7.3000 7.9000) 4.5200 i Y Y n = = + + + + + + + + + = 1 1 2 2 2 1 1 2 2 2 1 1 ( ) 20.000 1.4907 1 10 1 1 1 ( ) 46.246 2.2668 1 10 1 x i y i S X X n S Y Y n = - = =
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Unformatted text preview: -- =-= ⋅ = -- ∑ ∑ 1 1 2 2 2 2 2 2 ( )( ) 10 ( ) ( ) i i i i i i i i X Y X Y X Y X Y n n ρ-= -- ∑ ∑ ∑ ∑ ∑ ∑ ∑ 1 1 2 2 2 2 30(45.2) 169.90 10 1.1278 (30.000) (45.2) 110.00 250.55 10 10-= = -- Find the slope: 2 2 2 ( )( ) 10(165.90) (30.000)(45.200) 1.5150 ( ) 10(110.00) (30.000) i i i i i i n X Y X Y b n X X--= = =--∑ ∑ ∑ ∑ ∑ $ Find the y-intercept: 4.5200 1.5150(3.0000) 0.025000 o b Y bX =-=-= -$ The line of the best fit is 1.5150 0.025000 o y bx b y x = + =-$...
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This note was uploaded on 03/16/2011 for the course PHYS 1 taught by Professor Landen during the Winter '11 term at Macomb Community College.

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PhysicsStats - -- =-= ⋅ = -- ∑ ∑ 1 1 2 2 2 2 2 2 ( )(...

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