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Finite Chapter 1.5

Finite Chapter 1.5 - y = 0.4606(20 2.0679 = 11.2799 2.Find...

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Math 120 SP08 SBrodnick 1 1 1.5 : Linear Regression 2 1.5: Linear Regression * The idea… * Line that will fit the points best is the Regression Line , or Best-Fit Line , or Least-Squares Line What line comes closest to passing through all of the points? Clearly, no line will go through every point, but we want a line that will be as close as possible to each point. Error will occur 3 Examples : (Round to 4 decimal places) 1. Find the best-fit line for this data: (-1, 3) (0, 1) (2, 4) (5, 2) (7, 5) (10, 8) y = 0.4606x + 2.0679 r = 0.7905 Predict y when x = 20
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Unformatted text preview: y = 0.4606 (20) + 2.0679 = 11.2799 2.Find the least-squares line for this data: (2.3, 6) (4.6, 4) (5.3, 7) (6.9, 2) (9.2, 0) y = -0.9184x +8.9980 r = -0.8272 Predict x if y = -6-6 = -0.9184x +8.9980 x = 16.3306 1.5: Linear Regression 4 3.( # 18 P. 90 ) Year t 2 4 Inventory (\$ Billion) 2.3 2.1 2.1 ( t = 0 represents 2000 ) Use regression line to predict inventories in 2001. (Round #s to 2 decimal places) y = -0.05x + 2.27 2001: y = -0.05(1) + 2.27 = \$2.22 Billion 1.5: Linear Regression...
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