ࡱ> #` sbjbj 4s$\\\\$\$p`````aaaooooooo$ph2soaaaaao``oaaaa ``oaaoaaa`` wrj_\a a_b4 o0patataant3b,aaaaaaaaooa aaapaaaa$$$$7H;d!$$$H;$$$ Examples of non-linear relationships between two variables In this course we will not learn to analyze curved relationships. We will only learn to analyze linear relationships. However, it is important for you to understand that some relationships are curved. Input Output 10 272.7 12 278 14 352.9 16 360.5 18 361.7 20 367.4 22 409.2 24 409.2 26 426.6 28 366.5 30 401.9 32 409.2 34 359.5 36 344.1 38 316.1 40 286.1 42 270.3 44 222.3 46 181.3 48 160.4  Curved relationship. Quite strong.Input Output 0 139.10 1 122.30 2 110.60 3 103.50 4 96.00 5 94.10 6 89.50 7 83.30 8 83.80 9 82.90 10 79.80 11 76.80 12 74.40 13 79.00 14 78.00 15 75.90 16 72.50 17 77.70 18 77.20 19 77.60 20 75.30  Curved relationship. Quite strong.Input Output 10 255.4 12 322.7 14 334.6 16 294.3 18 420.7 20 365.4 22 416.8 24 460.8 26 422.2 28 496.9 30 339.9 32 375.1 34 320.5 36 323.7 38 305.4 40 328.4 42 271.9 44 191 46 149 48 134.2  Curved relationship. Moderately strong.Input Output 10 722.3 12 496.1 14 519.5 16 450.8 18 367.9 20 293.3 22 392.7 24 426.1 26 387.4 28 627 30 271.5 32 296.6 34 559 36 448.3 38 509.1 40 749.9 42 396.3 44 762.8 46 827.6 48 1096.4  Curved relationship. Moderately weak relationship.Input Output 0 243.90 2 -1285.30 4 624.40 6 364.50 8 1122.30 10 1006.20 12 -558.40 14 64.50 16 1441.40 18 -590.20 20 577.20 22 1438.30 24 2011.50 26 1639.40 28 674.50 30 1740.60 32 1794.30 34 3311.50 36 4828.40 38 5410.60 40 6122.90  Curved relationship. Moderately weak relationship.Input Output 1991 0.0% 1992 0.0% 1993 0.0% 1994 0.0% 1995 10.0% 1996 10.0% 1997 30.0% 1998 50.0% 1999 60.0% 2000 80.0% 2001 90.0% 2002 90.0% 2003 100.0% 2004 100.0% 2005 100.0% 2006 100.0%  Curved relationship. 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