Introduction to Regression Models and Analysis of Variance
STATS 203

Fall 2005
Introduction to Optimization
MS&E 111/ENGR 62, Autumn 20082009, Stanford University
Instructor: Ashish Goel
Practice problems for the nal
The following are a set of practice problems for the nal. The
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2015
Statistics 203
Introduction to Regression and Analysis of
Variance
Assignment #1 Solutions
January 20, 2005
Q. 1) (MP 2.7)
(a) Let x denote the hydrocarbon percentage, and let y denote the oxygen
puri
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2014
QUIZ 1 SOLUTION
1.1
The error terms, i are independent.
The variance of i ; denoted by 2 is the same for all x
The error terms ; i are random variables with mean or expected value of zero
The error te
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Statistics 203
1/10/12
Short Diagnostic Quiz
The purpose of this diagnostic quiz is to help the instructor and TAs understand the
background of the class. Related material will be briey reviewed in th
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Experimental data. One or more of the dependent variables can be set (typically
by randomization ) by the experimenter. The logic of inference is based on the randomized
assignment.
Example. Blood coa
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
In almost every domain of empirical research, showing a relationship between two
important variables is a key to advancing knowledge and to fame and fortune for the
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Stat 203
[version: 2/16/12]
Midterm, 2/16/12.
You may use a twosided sheet of paper with your own notes, but no other aids such as
lecture notes or books or wireless devices.
There are 8 questions, w
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
2/9/12]
Cumulative list of exercises from Freedman.
The exercises designed to be a central part of Freedmans book. Most have solutions
starting on p. 235.
Several exercises will be assigned during eac
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Linear and Generalized Linear Models
Lecture 10
Nicholas Christian
BIOST 2094 Spring 2011
Fit Linear Models
Inference
Model Diagnostics
Model Selection
Descriptive Plots
Generalized Linear Models
Outl
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Sample Final Problem and Solution
Note: Convention is to include pieces of output needed to answer question and
attach the Rcode (without output) at the end of answer.
The Orings in the booster rock
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Stat 203
[version: 3/15/12]
Final Exam.
Due: Thursday, March 22 at 10 P.M.
Before Thurdsay 5 p.m., you can turn in solutions to Angie Martinez in Sequoia 122
during oce hours. Between Thursday 7.30 p.
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2015
Statistics 203
Introduction to Regression and Analysis of Variance
Assignment #3 Solutions
Question 1:
a) This is a nonlinear regression model since the parameter q3 does not enter the response funct
Introduction to Regression Models and Analysis of Variance
STATS 203

Fall 2005
Statistics 203
Introduction to Regression and Analysis of
Variance
Assignment #1
Due Thursday, January 20
Prof. J. Taylor
Use R
for all calculations. Provide copies of your code in the
assignment.
Q.
Introduction to Regression Models and Analysis of Variance
STATS 203

Fall 2005
Statistics 203
Introduction to Regression and Analysis of
Variance
Assignment #3
Due Tuesday, March 1
Prof. J. Taylor
Use R
for all calculations. Provide copies of your code in the
assignment.
Q. 1) (
Introduction to Regression Models and Analysis of Variance
STATS 203

Fall 2005
Statistics 203
Introduction to Regression and Analysis of
Variance
Assignment #4
Due Thursday, March 10
Prof. J. Taylor
Use R
for all calculations. Provide copies of your code in the
assignment.
Q. 1)
Introduction to Regression Models and Analysis of Variance
STATS 203

Fall 2005
Statistics 203
Introduction to Regression and Analysis of
Variance
Assignment #2
Due Thursday, February 10
Prof. J. Taylor
Use R
for all calculations. Provide copies of your code in the
assignment.
Q.
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2014
UNIVERSITY OF LIMPOPO
SSTB031 NOTES
APPLIED LINEAR REGRESSION
Compiled
By
Maluleke H
2017
Table of Contents
CHAPTER 1: SIMPLE LINEAR REGRESSION AND CORRELATION . 4
1. Introduction. 4
1.1 Simple Linear
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2014
RECAP
For the class example(selling price against age and size
Correlation between age and selling price
r
x2 . y
r
age ( price )
295
0 . 1449
(1745 )( 2373 )
Indicate a weak inverse relationship
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Ignorance of how sample size affects statistical variation
has created havoc for nearly a millennium
Howard Wainer
W
hat constitutes a dangerous equation?
There are two obvious interpretations:
Some e
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Food Cost data and weighted least squares.
Another toy data set from MPV looks at the dependence of income (monthly) from food
sales on advertising expenses (annual) for 30 restaurants. A plot of (abs
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Fuel Consumption Data  condence intervals etc.
Lets return to the fuel consumption model we considered last time, as augmented with
the variable GradFreq.
> fgrad.lm < lm(Fuel~Tax + Dlic + Income +
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Fuel Consumption Data: illustrating case diagnostics
First, we compute (i) leverages, (ii) studentized (or jackknife) residuals to check for
outliers, and (iii) Cooks distances to check for inuential
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Comments on Midterm
1
Assumptions:
Y = X +
i
s are iid with mean zero and variance 2 .
X and are orthogonal.
X is full rank.
It is acceptable if you missed the last one. But several people added ma
Introduction to Regression Models and Analysis of Variance
STATS 203

Spring 2011
Stat 203
[version: 2/23/12]
Homework 3.
Due in class on Tuesday Feb 28 [note delayed due date]. Any corrections will be
posted on Coursework.
Collaboration on homework problems is ne, but your write u