Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Sample questions for nal
1. Consider a family of regression lines given by
Ecfw_Y = i + Xi , i = 1, ., m.
(a) Suppose ni random observations obtained for the ith model are
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 4: Solutions
1. In a multiple linear regression model:
E(Y) = Xnp p1 , 2 cfw_Y = 2 Inn , = (0 , 1 , . . . , p1 ) , n > p 2,
recall that
SS(Regression) = Y HY nY
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 3: Solutions
1. (a) For a linear regression model with replications: Yij = 0 + 1 Xj + ij , i = 1, . . . , nj , j =
1, . . . , c, show that if n1 = = nc = n, say,
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Midterm: Solutions
1. The following data gives, for each of 10 cartons of ampules that were shipped, the number of
times (X) the carton was transferred from one aircraft to
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 2: Solutions
1. Consider the regression model: Y1 , . . . , Yn independent with E(Yi ) = 0 + 1 Xi , V (Yi ) = 2 ,
Xi non-random, i = 1, . . . , n. (Normality of
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 1: solutions
1. Consider the regression model: Y1 , . . . , Yn independent with E(Yi ) = 0 + 1 Xi , V (Yi ) = 2 ,
Xi non-random, i = 1, . . . , n. (Normality of
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 1
Due by: Wed., 21 May 2014, 7pm, in class or LB-921.23 or my mailbox, Sen, A.
1. Consider the regression model: Y1 , . . . , Yn independent with E(Yi ) = 0 + 1
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 3
Due by: Thu., 12 June 2014, 7pm, in class or LB-921.23 or my mailbox, Sen, A.
1. (a) For a linear regression model with replications: Yij = 0 + 1 Xj + ij , i =
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 2
Due by: Tue., 27 May 2014, 7pm, in class or LB-921.23 or my mailbox, Sen, A.
1. Consider the regression model: Y1 , . . . , Yn independent with E(Yi ) = 0 + 1
Concordia University
Department of Mathematics and Statistics
Stat-360/1 (2014-15)
Assignment 4
Due by: Mon., 23 June 2014, 7pm, in class or LB-921.23 or my mailbox, Sen, A.
1. In a multiple linear regression model:
E(Y) = Xnp p1 , 2 cfw_Y = 2 Inn , = (0