Assignment 4 solution (un-starred)

Assignment 4 solution (un-starred) - THE UNIVERSITY OF HONG...

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Unformatted text preview: THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT0301 Elementary Statistical Methods Semester 1 2009/2010 Assignment 4 solution ( questions that no need to hand in) 1. (i) regression line: ŷ = 63.122 + 1.377 x (ii) ŷ| x = 74 = 63.122 + 1.377 (74) = 165.02 (iii) Yi Rank Xi Rank Di 160 5 74 8 ‐3 176 10 79 10 0 168 9 77 9 0 161 6.5 70 5 1.5 164 8 73 7 1 154 2 66 2 0 156 4 68 4 0 147 1 60 1 0 155 3 67 3 0 161 6.5 71 6 0.5 By using the calculator: r = 0.924 By using the formula: rS = 1 − 6∑ d i2 n( n 2 − 1) =1− 6 x12.5 = 0.1667 10(10 − 1) 3. Expenditure(y) 5 4 3 2 1 (i) After calculating the class mark for each class, enter the above pairs of data with REG mode. We have, 0.5736 (ii) 0.9569 (iii) 4.3132 1.1490 0.2863 Salary(x) 8 10 5 7 4 2 3 6 4 7 1 10 3 8 6 1 12 2 1 ...
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This note was uploaded on 04/14/2010 for the course STAT 0301 taught by Professor Gabriell during the Spring '09 term at HKU.

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