Math 3339. Problems for home study (This is not homework).

Before studying for this course it is helpful to review Chapter 4, Sections 1 through 3; Chapter 5, Section 1 (look at the definition of the joint pdf). Also work on problems 4,23,24,31,39ac,43,46a all from Chapter 4.

Section 6.2: 11ab, 12, 13, 15a, 17, 19

Section 6.3: 27, 29, 33, 34, 41

Section 6.4:

Section 7.1: 1,2,3,4abc, 5,6,7,8,10,11,12,19.

Section 7.2: 21, 23, 24,26, 27 (find the likelihood function for the event X<=113.4. Then, find the values of the mi and sigma which maximize the probability of this event), 30, 31.

Section 8.1: 1,3,4,5,10,11.

Section 8.2: 12,13,14,16,18,19,21,22,23,25,26.

Section 8.3: 33bc, 34, 35, 37a, 37b, 39.

Section 8.4: 45cd, 47.

Section 9.2: 17,18,19,22,25,29,30,32.

Section 9.3: 37,38,40,41,43,44.

Section 9.4: 47,51,52,53,54,55.

Supplementary problems from Chapter 9: 72,73,78,83,84.

Section 12.2: 13abc, 15, 16, 17a-d, 19, 24, 27.

Section 12.3: 31b, 34ab, 35ab, 36, 37, 43 (involves logit functions).

Section 12.4: Derive the confidence interval given by equation (12.8), 45, 47, 49, 54cd. When you work on problems from this section bear in mind that the mean of the prediction of Y given a value of x is the value of the dependent variable y determined by the linear model corresponding to this particular value of x as if no error would have occured in the measurements. We have to use the mean of the prediction because the dependent variable y is affected by the additive error random variable. This is the reason for which we denote y by the upper case Y. We calculate this mean because we don't know the underlying linear model and the error model.

Section 12.5: 57a, 59, 60, 61, 62, 63.

Section 10.1: 1ab, 2,3,4a, 5, 7,8,, 11, 12, 14.

Section 10.2: 22, 24, 25, 26, 32, 33, 37.

Section 10.3: 39,40a,41,42bc

Section 10.4: 49,50,51,52a,58,59.

This is the complete list of problems you have to be able to solve to make an A in this course.