Midterm 1: Solutions
STAT 420/MATH 469
Section N1
February 25, 2014
Exercise 1 (9 Points)
Every summer, Sams Cycle Shop sells X road bicycles and Y mountain
bicycles. Assume X and Y jointly follow a bivariate normal distribution
with parameters: X = 200,
Midterm 2: Solutions
STAT 420/MATH 469
Section N1
April 8, 2014
Exercise 1 (10 Points)
iid
Consider the regression model: yi = b0 +b1 xi1 +b2 xi2 +ei with ei N(0, 2 ).
Suppose that we have observed the following sample statistics from n = 11
observations
STAT 420
Spring 2014
Homework 9:
Solutions
Exercise 1
Hypotheses are H0 : 1 = 2 = 3 versus H1 : j = k for some j, k cfw_1, 2, 3.
First, note that y =
1
n
J
j=1
nj yj =
1
[5(3.0)
15
+ 5(3.3) + 5(2.4)] = 2.9
This implies that the sum-of-squares between (SSR
STAT 420
Spring 2014
Homework 7:
Solutions
Exercise 1
(a) The scatterplot of the data (with best tting linear regression line) is given below:
5
4
q
q
q
q
q
3
Ion migration (mV)
6
q
q
q
q
2
q
q
q
q
q
0
50
100
150
200
Known concentration (ppm)
Note that th