soln10.1

# soln10.1 - Σx y Σx n m-= 29 29 29 29 29 92 2 =-= 2 18 94...

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Determine the slope and intercept of the line that passes through the two points P(1,3) and G(3,5). 1. 3 = m * 1 + b 5 = m * 3 + b 2. m =1, b =2 0 1 2 3 4 5 6 0 1 2 3 4 P(1,3) G(3,5) Solution to RAT 1

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Pairs Exercise #4 - log-log ( 29 ( 29 ( 29 ( 29 0.562 0.1 log 6 log 2 log 20 log = - - = m ( 29 7.30 2/0.1 .562 0 = = b 0.562 7.30x y =
Pairs Exercise #4 - Semi-log ( 29 ( 29 0.0227 5 70 20 log 600 log = - - = m ( 29 ( 29 15.4 20/10 5 0.0227 = = b ( 29 0.0227x 10 15.4 y =

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Solution to Individual Exercise #1 m = (y2 - y1)/(x2 - x1) m = (35 - 18)/(4-1) = 5.67 y = mx + b OR b = y - mx b = 35 - 5.67(4) = 12.3 y = 5.67x + 12.3 at x = 2.4 y = 5.67(2.4) + 12.3 = 25.9 (answer)
Solution to Team Exercise #1 x y xy x 2 y 2 5 10 50 25 100 4 9 36 16 81 7 18 126 49 324 2 3 6 4 9

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Solution to Team Exercise #1 (con’t) ( 29 ( 29 ( 29 ( 29 ( 29 2 i 2 i i i i i Σx Σx n Σy

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Unformatted text preview: Σx y Σx n m--= ( 29 ( 29 ( 29 ( 29 ( 29 92 . 2 =--= 2 18 94 4 40 18 218 4 m ( 29 ( 29 4 18 2.92 40 n Σxi m Σyi b-=-= 3.15 b-= 3.15 x 2.92 y-• = (Very high positive correlation) ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 i 2 i 2 i 2 i i i i i Σy Σy n Σx Σx n Σy Σx y Σx n r---= ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 [ ] ( 29 ( 29 ( 29 [ ] 0.987 40 514 4 18 94 4 40 18 218 4 r 1/2 2 1/2 2 =---= Solution to Team Exercise #1 (con’t) Example of Linear Regression y = 2.92x - 3.15 R 2 = 0.974 2 4 6 8 10 12 14 16 18 20 1 2 3 4 5 6 7 8 X, Independent Variable Y, Dependent Variable...
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soln10.1 - Σx y Σx n m-= 29 29 29 29 29 92 2 =-= 2 18 94...

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