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ec6a - The University of Hong Kong Department of Statistics...

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1 The University of Hong Kong Department of Statistics and Actuarial Science STAT0302 Business Statistics Semester 2 2009/2010 Example Class 6 Suggested Solution 1. (a) (i) 15 1.0 28 2.7 13 1.3 20 1.9 4 0.9 10 1.7 166.1 i i x y 2 2 2 2 2 2 2 15 28 13 20 4 10 1694 i x 1 15 28 13 20 4 10 15 6 x 1 1.0 2.7 1.3 1.9 0.9 1.7 9.5 6 6 y 2 2 2 166.1 6 15 9.5 6 0.068607 1694 6 15 xy i i xx i S x y nxy b S x nx 9.5 6 0.068607 15 0.5542 a y bx Hence, 0.5542 0.0686 y x (ii) With calculator fx-50FH: Step 1: Change to REG mode. Press MODE REG Lin . Remarks: REG appears on the screen Step 2: Clear the memory in the calculator. Press SHIFT CLR Stat EXE . Step 3: Enter the data in sequence. Press 15 , 1 28 , 2.7 13 , 1.3 20 , 1.9 4 , 0.9 10 , 1.7 M M M M M M       Step 4: Display the number of data. Press SHIFT S SUM n EXE . This gives 6 n Step 5: Find a . Press SHIFT S Var Var a EXE . This gives 0.5542 a Step 6: Find b . Press SHIFT S Var Var b EXE . This gives 0.0686 b
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STAT0302 Business Statistics Example Class 6 2 (b) The regression line is 0.5542 0.0686 y x 0 0.5 1 1.5 2 2.5 3 0 5 10 15 20 25 30 (c) 0.5542 0.0686 20 1.9262 y (d) 0.5542 0.0686 0 0.5542 y (e) The prediction which is more reliable is (c), because (c) is interpolation whereas (d) is extrapolation. Interpolation means the given x - value is within the available data range while extrapolation means it is outside the available data range. For example, in (c) the given x
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