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Assignment 4 - Hand in Q 3, 4, 6 - Due 2332009

# Assignment 4 - Hand in Q 3, 4, 6 - Due 2332009 - THE...

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Unformatted text preview: THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT 0302 Business Statistics Assignment 4 (Do all. Hand in solutions to the three starred questions on or before 23.3.09) 1. The following system of linear equations is given: 2 =- a- 4 b, 12 = 2 a- b, 14 = 3 a + b, 21 = 5 a + 3 b, 25 = 4 a- 3 b. (i) Find the normalized solutions. (ii) What is the minimum squared discrepancy (i.e., least squares discrepancy)? 2. The following table gives the statures and step lengths (both in cm) of 10 randomly selected males in the age group 20- 30: Stature ( y ) 162 178 170 163 166 156 158 149 157 163 Step ( x ) 75 80 78 71 74 67 70 62 69 73 (i) Fit a regression line ˆ y = a + bx to the data for the purpose of estimating y given x . (ii) A detective measured the step length of an escaped suspect (who had been confirmed to be about 25 years old) to be 74 cm. How tall was the suspect likely to be?...
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Assignment 4 - Hand in Q 3, 4, 6 - Due 2332009 - THE...

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