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set4

# set4 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 2 Tutorial Week 4 2006 We encourage you to attempt these problems before your tutorial class. 1. ( Multiple choice ) For a set of 12 pairs of observations on ( x,y ) from an experiment, the scatter plot suggests that it is possible to fit a linear regression model for the data. The following summary for x and y is obtained: summationdisplay x i = 25 , summationdisplay y i = 432 , summationdisplay x 2 i = 59 , summationdisplay y 2 i = 15648 , summationdisplay x i y i = 880 . 5 . The values of S xx ,S yy , and S xy are (respectively): (a) 6.92, 15648, and 880.5 (b) 6.92, 96, and 880.5 (c) 6.92, 96, and -19.5 (d) -19.5, 96, and 880.5 (e) none of the above. 2. ( Multiple choice ) The sample correlation coefficient between x and y in Q1 is (2dp): (a) 7.57 (b) -7.57 (c) -0.08 (d) -0.76 (e) 1.00. 3. ( Multiple choice ) A six-sided die is loaded in such a way that an even number is twice as likely to occur as an odd number. The probability that a number (strictly) less than 4 occurs in a single toss of the die is: (a) 1/9 (b) 1 (c) 4/9 (d) 1.5 (e) none of these.

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