AMS 315/576 Lecture Notes
Chapter 11. Simple Linear Regression
11.1 Motivation
A restaurant opening on a "reservations-only" basis would like to use the number of advance reservations x to predict the number of dinners y to be prepared. Data on reservat
Simple Linear Regression:
1. Finding the equation of the line of best fit
Objectives: To find the equation of the least squares regression line of y on x.
Background and general principle
The aim of regression is to find the linear relationship between tw
AMS 315/576 Lecture Notes
Chapter 8. One-Way Analysis of Variance (ANOVA)
This is an extension of the pooled-variance t-test. The pooled-variance t-test tests the null hypothesis that two population means are equal, i.e. H0 : 1 = 2 . The One-way ANOVA
AMS572.01
Practice Final Exam
Fall, 201 3
Name _ID _Signature_
Instruction: This is a close book exam. Anyone who cheats in the exam shall receive a grade of F. Please provide complete
solutions for full credit. The exam goes from 11:15am - 1:45pm. Good l
AMS 572 Class Notes
Chapter 12 Analysis of Variance (ANOVA)
One-way ANOVA (fixed factors)
* Goal: compare the means from a (a2) different populations.
* It is an extension of the pooled variance t-test.
* Assumptions:
(i) Equal (unknown) population varian
AMS572.01
Final Exam
Fall, 201 3
Name _ID _Signature_
Instruction: This is a close book exam. Anyone who cheats in the exam shall receive a grade of F. Please provide complete
solutions for full credit. The exam goes from 11:15am - 1:45pm. (*Extended time
Homework #7 Solutions
Dear students, please try to work out these problems by yourself before looking at
the solutions. The homework problems are 10.4, 10.5, 10.6, 10.7, 10.8, 10.33, 10.34.
10.4
(a)
Next
90
80
70
60
50
40
1
2
3
Last
Yes.
(b)
The fitted le
Probability
Table entry for z is the area under the standard normal curve to the left of z .
z
TABLE A Standard normal probabilities
z 3.4 3.3 3.2 3.1 3.0 2.9 2.8 2.7 2.6 2.5 2.4 2.3 2.2 2.1 2.0 1.9 1.8 1.7 1.6 1.5 1.4 1.3 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5
AMS572.01
Practice Midterm Exam
Fall, 201 3
Name _ID _Signature_
Instruction: This is a close book exam. Anyone who cheats in the exam shall receive a grade of F. Please provide complete
solutions for full credit. *For the real midterm, we will have 3 pro
AMS572.01
Quiz 5
Fall, 2013
Name: _ ID: _ Signature: _
Instruction: This is a take home exam due before class on Tuesday, October 8. Please type
the solutions in MS word. Good luck!
A group of babies all of whom weighed approximately the same at birth are
AMS 315/576 Lecture Notes Chapter 6. Inference about 1 2
1. Large Populations (n1 30, n2 30) Two Independent Samples
EXAMPLE 6.1 A survey of credit card holders revealed that Americans carried an average credit card balance of $3900 in 1995 and $3300 in
AMS572.01
Quiz 4
Fall, 2013
Name: _ ID: _ Signature: _
1. (for all: 10 points) In response to student complaints and financial considerations, a
high school decides to close its kitchen and contract a food service, the Tigress
Express, to provide school l
AMS572.01
Quiz 1
(Take home quiz, due Thursday 9/5/2013)
Fall 2013
1. A gambler goes to bet. The dealer has 3 dice, which are fair, meaning that the chance that each face
shows up is exactly 1/6.
The dealer says: "You can choose your bet on a number, any
Homework #5 Solutions
Dear students, please try to work out these problems by yourself before looking at the solutions.
The homework problems are one population proportion: 9.1, 9.2, 9.4, 9.6, 9.9; two or more
population proportions: 9.11, 9.12, 9.19, 9.2
AMS572.01
Fall, 2013
Midterm Exam
Name _ID
_Signature_
Instruction: This is a close book exam. Anyone who cheats in the exam shall receive a grade of F. Please
provide complete solutions for full credit. The exam is due at 11:20am. Please turn in this si
AMS572.01
Midterm Exam
Fall, 2013
Name _ID
_Signature_
Instruction: This is a close book exam. Anyone who cheats in the exam shall receive a grade of F. Please
provide complete solutions for full credit. The exam is due at 11:20am. Please turn in this si
Homework #3 Solutions
7.1
(a) From equation (7.5)
He needs to catch 56 fish. (b) If n=100, then
The new margin of error is or 74% of the old margin of error.
7.4
(a)
Range=$350-$10=$340. Therefore, a rough estimate of . For a 95% CI with a margin of error
AMS 572 Lecture Notes #11
October 9, 2013
Ch. 9. Categorical Data Analysis
Inference on Two Population Proportions:
Independent samples, both are large
e.g. Suppose we wish to compare the proportions of smokers among male
and female students in SBU.
Two l
Homework #2 Solutions
5.1
(a) the population is the uniform distribution over integers 1 to 5. The mean and variance of the population are and
(b)
(1,1) (1,2) (1,3) (1,4) (1,5) (2,1) (2,2) (2,3) (2,4) (2,5) (3,1) (3,2) (3,3) (3,4) (3,5) (c) 1.0
1.0 1.5 2.
AMS 315/576 Lecture Notes
Chapter 10. CATEGORICAL DATA
10.1 Inferences About one population Proportion
The public opinion polls are becoming increasingly popular and vital in our societies nowadays. Almost daily, the news media report the results of so
AMS572.01
Extra Credit for the Midterm Exam
Fall, 2013
Name: _ ID: _ Signature:
_
Instruction: This is a close book exam. Anyone who cheats in the exam shall receive a grade of F. Please provide complete solutions
for full credit. Good luck!
Version 1. To
Homework 1 Solution
1. Let and . Please prove that . Please do so using (1) the p.d.f. approach;
(2) the c.d.f. approach and (3) the m.g.f. approach. Please show the entire
derivation for full credit.
Solution:
(1) pdf approach:
Since , that is , then
,
s