ch8 supp

# ch8 supp - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT 1306 INTRODUCTORY STATISTICS Sem 1 2008 / 2009 1. The following data show the average numbers of hours which six students studied per week and their grade-point index: X Hrs studied 15 28 13 20 4 10 Y grade-point index 1.0 2.7 1.3 1.9 0.9 1.7 a) Find the line of best fit for these data, using: (I) the formulas (II) calculator only b) Plot the data and draw the regression line on the same scatter diagram.

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c) Predict the grade point index for a student who studies 20 hours per week. d) Predict the grade point index for a student who studies zero hours per week. e) Which prediction is more reliable – c) or d)? Why? f) Calculate the correlation coefficient, using (I) the formula (II) calculator only
g) Test at α = 5% for the significance of the correlation coefficient. h) Construct a 95% confidence interval for 1 β , the amount by which a student in the population sampled can expect to raise his or her grade point index by studying an extra hour per week.

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2. Suppose that men always marry women who were 8cm shorter
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## This note was uploaded on 09/06/2010 for the course STAT STAT1306 taught by Professor Prof during the Fall '08 term at HKU.

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ch8 supp - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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