For Turtorial 1
2.1 Let Y denote the number of heads that occur when two coins are tossed.
a. Derive the probability distribution of Y:
b. Derive the cumlative probability distribution of Y:
c. Derive the mean and variance of Y:
2.4 Suppose X is a Bernoul
Statistical analysis such as descriptive statistics and regressio
EC3303 Tutorial 2 (Fall, 2011)
2.17 Yi ; i = 1; 2; : : : ; n are i.i.d. Bernoulli random variable with p = 0:4: Let Y denote the
a. Use the central limit to compute approximations for
i) Pr Y
0:43 when n = 100:
ii) Pr Y
0:37 when n
13.96 0.073 Dist. The regression predicts that if colleges are built 10 miles closer
to where students go to high school, average years of college will increase by 0.073 years.
(b) Bobs predicted years of completed education 13.96 0.073 2 13.
Tutorial 5: Worksheet
E6.2 Using the data set CollegeDistance described in the second tutorial, carry out the following
a. Run a regression of years of completed education (ED) on distance to the nearest college
E4.3 On the text Web site (www.aw-bc.com/stock_watson), you will nd a data le CollegeDistance that contains data from a random sample of high school seniors interviewed in 1980
and re-interviewed in 1986. In this exercise yo
Answer to Tutorial 4.
3.6 (a) No. By denition, study + sleep + work + leisure = 168. Therefore,
if we change study, we must change at least one of the other categories so that
the sum is still 168.
(b) From part (a), we can write, say, study as a perfect
Answer to tutorial 2
17. Y 0.4 and Y2 0.4 0.6 0.24
Y 0.4 0.43 0.4
(a) (i) P( Y 0.43) Pr
Y 0.4 0.37 0.4
(ii) P( Y 0.37) Pr
(b) We know Pr(1.96 Z 1.96) 0.9
Tutorial 4: Worksheet
3.6 In a study relating college grade point average to time spent in various activities, you
distribute a survey to several students. The students are asked how many hours they spend each
week in four activities: studying, sleeping,
(a) Probability distribution function for Y
(number of heads)
(b) Cumulative probability distribution function for Y
(number of heads)
(c) Y = E (Y ) (0 0.25)
National University of Singapore
EC3303 Econometrics I
1. This examination paper contains 15 MCQs and 2 questions and comprises 7 printed pages.
2. Answer ALL questions.
3. This is a CLOSED BOOK
the CollegeDistance file as an example and try to regress ed on dist, where ed means the