# ec10 - 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 Example Class 10 Question 1. The monthly temperature and gas consumption between Jan 1997 to Dec 2000 in Hong Kong are summarized below. Fit a regression line \$ yab x = + by regressing gas consumption on temperature; also find the correlation coefficient r . Gas consumption Temperature x y 13 – 16 17 – 20 21 – 24 25 – 28 29 – 32 751 – 900 0 0 0 5 3 901 – 1050 0 2 3 4 6 1051 – 1200 0 3 1 4 2 1201 – 1350 0 6 3 2 0 1351 – 1500 1 2 1 0 0 2. Ten pairs of data yield the following information: n x y X s Y s r 10 15 24 2 4 0.8 Find the regression line \$ x =+ . 3. An experiment was conducted to determine whether automobile size is related to the fatality of accidents. The following data were collected: Accident Small Medium Large Total Fatal ( ) 40 ( ) 60 ( ) 50 Non-fatal () 50 ( ) 120 ( ) 80 Total Perform a 2 χ - test to test the null hypothesis that the fatality rate is independent of car size. Use

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## This note was uploaded on 05/02/2010 for the course STAT STAT0302 taught by Professor Prof.chiu during the Spring '09 term at HKU.

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ec10 - The University of Hong Kong Department of Statistics...

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