UCLA
Department of Statistics
STAT 100C: Linear Models
Problem Set 2
Spring 2015
Issued: Friday, April 10
Due: Friday, April 17
Problem 2.1
A new prot-sharing plan was introduced at an automobile parts manufacturing
plant last year. Both management and un
STATS 100C Midterm Exam 1 Solution
1.
P 2
P 2
P
P
P
1
1
(a) sxx =
xi
xi ) = 3940 (190)2 /10 = 330, sxy =
xi yi n ( xi )( yi ) = 1032
n(
sxy
(190)(60)/10 = 108, 1 = sxx = 108/330 = 0.327,
0 = y 1 x = 60/10 ( 0.327)(190/10) = 12.213.
P
2
(b) SST = (yi y )2
Stats 100B Homework 1 due Wednesday, October 7, 2015 (in class)
Instruction: Write down your name, UID and discussion session on your HW.
EXERCISE 1
If the radius of a circle X is an exponential random variable with parameter , nd the probability
density
UCLA
Department of Statistics
STAT 100C: Linear Models
Problem Set 2
Spring 2015
Issued: Friday, April 10
Due: Friday, April 27
Problem 2.1
A new prot-sharing plan was introduced at an automobile parts manufacturing
plant last year. Both management and un
Stat 100 -Intro Probability
Homework 7
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
Stat 100 -Intro Probability
Homework 2
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
Stat 100 -Intro Probability
Homework 5
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
Stat 100A/Sanchez
Review of applications of the CLT.
1.Student scores on exams given by a certain instructor have mean 74 and standard
deviation 14. This instructor is about to give two exams, on to a class of size 25 and the
other to a class of size 64.
Stats 100B Solutions to Homework 3
EXERCISE 1
We know that X
2
S /10
follows a t-distribution with 9 degrees of freedom. Therefore:
X
10X
P(
< c) = P (
< 3 10c) = 0.95 3 10c = 1.833 = c 0.1932
9S 2
S2
EXERCISE 2
(a) We know
(n 1)S 2
=
2
Using this:
n
i (
Stats 100B Homework 4 due Friday, October 30, 2015 (in class)
Exam 1: Monday, October 26 (week 5), 11-11:50am, in HUMANTS 169
EXERCISE 1
Two surveys were independently conducted to estimate a population mean, . Denote the estimates
and their standard erro
Stat 100A -Quiz 4(1)
NAME _
ID _ DATE_
Note: quiz4(2) is the same, but the answers are in different order, and the questions are also
ordered differently.
Closed books and closed notes. Only scientific calculator allowed. Work will not be read unless the
Stat 100 -Intro Probability
Homework 6
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
Stat 100 -Intro Probability
Homework 5
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
15FS STAT 6021-001 Final Exam
Total points: 100 (plus 10 extra credits)
Instructor: Xia Wang
Date: 12/07/2015
8:00 am 10:00 am
Name:
Seat Number:
Must show all work to get credits.
Hand in all exam papers and scratch papers.
1. (10 points) Suppose that i
16SS STAT 6022-001 Homework #1
Due Date: see the course syllabus
Please work on the homework problems independently! Follow the requirement about the
homework format in the course syllabus. Prepare your answer with the problems in order.
Problems 1-4 from
15FS STAT 6021-001 Homework #2
Due Date: see the course syllabus
Please work on the homework problems independently! Follow the requirement about the
homework format in the course syllabus. Prepare your answer with the problems in order.
From textbook Hog
15FS STAT 6021-001 Homework #4
Due Date: see the course syllabus
Please work on the homework problems independently! Follow the requirement about the
homework format in the course syllabus. Prepare your answer with the problems in order.
Problem 1-14 are
15FS STAT 6021-001 Homework #7
Due Date: see the course syllabus
Please work on the homework problems independently! Follow the requirement about the
homework format in the course syllabus. Prepare your answer with the problems in order.
Problem 1-11 are
15FS STAT 6021-001 Homework #6
Due Date: see the course syllabus
Please work on the homework problems independently! Follow the requirement about the
homework format in the course syllabus. Prepare your answer with the problems in order.
Problem 1-10 are
Recap and Today
Numerical Summaries
Sampling Statistics
STAT 6031 Fall 2015
Lec 2: Numerical Summaries for Data
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Recap and Today
Numerical Summaries
Sampling Statistics
Recap and Today
Inference for Coef.
Mean and New Obs
ANOVA
STAT 6031
Chapter 2: Inference in SLR
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
General Linear Test
Preview
Recap and Today
Inference for Coef.
Mean and New O
Today
CI for Proportion(s)
CI for Variance
STAT 6031
Lec 5: Condence Intervals for Proportions and Variances
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Today
CI for Proportion(s)
CI for Variance
Today.
Condence
Today
Quick Review
Estimation
STAT 6031
Lec 3: Random Variable, Estimation
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Today
Quick Review
Estimation
Today.
Quick review:
Random variables
Expected values, varianc
Today
Introduction
Simple Linear Regression
SAS Example
STAT 6031
Lec 7: Simple Linear Regression
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Today
Introduction
Simple Linear Regression
Today.
Overview of Regres
Today
Hypothesis Test
Mean
Dierence
Proportions
STAT 6031
Lec 6: Hypothesis Test
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Variances
Summary
Today
Hypothesis Test
Mean
Dierence
Proportions
Variances
Today.
Overview of
Before We Start
Overview
Introduction
Welcome to STAT 6031 Fall 2015
Lec 1: Introduction and Overview
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Before We Start
Overview
Introduction
Instructor
Dr. Emily Lei Ka
Today
Quick Review
Estimation
STAT 6031
Lec 3: Random Variable, Estimation
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Today
Quick Review
Estimation
Today.
Quick review:
Random variables
Expected values, varianc
Today
Introduction
Simple Linear Regression
SAS Example
STAT 6031
Lec 7: Simple Linear Regression
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Today
Introduction
Simple Linear Regression
Today.
Overview of Regres
Today
Condence Interval
CIs for Mean(s)
STAT 6031
Lec 4: Condence Intervals for Means
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Today
Condence Interval
Today.
Condence Interval in General
Inferences on the Mea
Recap and Today
Numerical Summaries
Sampling Statistics
STAT 6031 Fall 2015
Lec 2: Numerical Summaries for Data
Dr. Emily Lei Kang
Department of Mathematical Sciences
University of Cincinnati
Summary
Recap and Today
Numerical Summaries
Sampling Statistics
Statistics 101A
Homework Three
Problem one.
a) Using the High School Beyond data set posted on week 3, conduct a twosample t test of the mean to compare the average math scores of both genders.
1) State the null hypothesis and the Alternative hypothesis?
HW 5 Fall 2016
Dr. Akram Almohalwas
October 31, 2016
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