Homework 4. Time series. Due day: March 10th
February 28, 2017
1. (Linear prediction). Suppose that cfw_Xt is an AR(1) process with mean 0.
Xt = 1 Xt1 + Wt
with Wt N (0, 1) and |1 | =
6 1. Suppose we have observed X1 and X3
and we would like to estimate
CSci 2033
Homework 3
Spring 2017
Due Date: This assignment is due Wednesday, Feb. 22. (Note that due to the Feb. 15
midterm this is a two week assignment.) There are two parts: Part A, which consists of
Problems 1 to 7, is to be submitted in hard copy in
STAT 4101 (Fall 2016) Homework 7
Assigned: Wednesday, October 26
Due: Wednesday, November 2
Solutions
Directions: Show all work for each problem below. Do not use software! Provide exact solutions
to each of the problems requiring a numeric answer. You ma
STAT 4101 (Fall 2016) Homework 12
Assigned: Wednesday, December 7
Due: Wednesday, December 14
1. Textbook Problems: 5.133, 5.136(a,b), 5.139, 6.6, 6.7.
Solution:
5.133 The distribution function for Y is
(
6(1 y2 ) 0 y1 y2 1
F (y1 , y2 ) =
0
elsewhere
(
Z
Stat 4101 Name (Print): 5 S; 2Q@\ .
Fall 2016
Midterm Two Student ID:
' Time Limit: 50 Minutes
MW
Instructions:
o Do not begin or turn this page until you are instructed to.
a Enter all requested information on the top and bottom of this page, and put y
STAT 4101 (Fall 2016) Homework 9
Assigned: Monday, November 7
Due: MONDAY, November 14
Directions: Show all work for each problem below. Do not use software! Provide exact solutions
to each of the problems requiring a numeric answer. You may also include
1. [ 10 points ]
Suppose that
X Gamma(, )
Y |X Poi(X)
Compute E(Y ) and VAR(Y ).
2. [ 7 points ]
Suppose X is a random variable with the following moment generating function:
mX (t) =
1
1
5t
t<
State the distribution of X, including its parameters.
2
1
5
STAT 4101 (Fall 2016) Homework 7
Assigned: Wednesday, October 26
Due: Wednesday, November 2
Directions: Show all work for each problem below. Do not use software! Provide exact solutions
to each of the problems requiring a numeric answer. You may also inc
STAT 4101 (Fall 2016) Homework 8
Assigned: Wednesday, November 2
Due: Wednesday, November 9
Solutions
Directions: Show all work for each problem below. Do not use software! Provide exact solutions
to each of the problems requiring a numeric answer. You ma
STAT 4101 (Fall 2016) Homework 8
Assigned: Wednesday, November 2
Due: Wednesday, November 9
Directions: Show all work for each problem below. Do not use software! Provide exact solutions
to each of the problems requiring a numeric answer. You may also inc
STAT 4101 (Fall 2016) Homework 9
Assigned: Monday, November 7
Due: MONDAY, November 14
Solutions
Directions: Show all work for each problem below. Do not use software! Provide exact solutions
to each of the problems requiring a numeric answer. You may als
Chapter 5
Complex Regressors
5.8 5.8.1 Solution:
If you are using R, polynomials should be specified with the poly function:
m1 <- lm(Y ~ poly(X1, 2, raw=TRUE) +
poly(X2, 2, raw=TRUE) + X1:X2, data=cakes)
summary(m1)$coef
(Intercept)
poly(X1, 2,
poly(X1,
STAT 4102 (Fall 2016) Homework 2
Assigned: Wednesday, September 14
Due: Wednesday, September 21
DIRECTIONS: Show all work for each problem. For any problem that asks you to determine the
distribution of a statistic, you MUST also prove that it has the giv
3022 HW 4.1 Solution
Q1
1. Textbook 4.10
library(Stat2Data)
data(ReligionGDP)
a.
We compute the natural logarithms of the GDP data and store the results in LogGDP. A scatterplot of
LogGDP versus Religiosity is shown below. We see a negative association so
Stat3022 HW6.1 Solution
Problem Set 6.22
The total number of observations is 100 for this problem.Also provide the three
p-values for Face, Gender and their interaction.
The df for both Face and Gender is 1 since each factor has two levels. The interactio
6.2 - Addressing Violated Assumptions Through Transformation | STAT 461
1 of 8
https:/onlinecourses.science.psu.edu/stat461/node/50
Analysis of Variance
We can often correct non-normality and unequal variances by transforming the response variable. That i
Chap 8: Overview of Experimental Design
STAT 3022
School of Statistics, University of Minnesota
Fall 2016
1 / 16
Randomization
To make useful conclusions, randomization is of essential
importance.
As we have seen before in the examples, both controlled
ex
3022 HW 5.1 Solution
5.12
a. Identify the explanatory and response variables.
The explanatory variable is type of font, and there are four different fonts being used. The response variable
is the final exam score, which is being used as a measure of stude
Put your answers for multiple choice questions here (use capital letters):
1
A
2
C
3
C
4
D
5
C
6
B
7
B
8
C
9
B
10
A
Part #2 (30 points total) (Questions 11 - 15)
A certain Minneapolis company is interested in how much of a households garbage contains glas