Assay Type Questions
1) (5 points) Two estimators for the
E1 and E2. We are given the following:
134.2:erl ) = -1 Var(E. ) = 2.5
population mean have been proposed. Let’s call them
. BlaS(E2)-=1 5 Var(E2)=l
6m Use the MSE to determine which of the two est
Chapter 12 Review Question
Estimating the costs of drilling oil wells is an important consideration for the oil industry. The
regression and scatterplot below were found by using a data set of 16 offshore oil wells located
in the Philippines. Cost was mea
Stat 3470, Midterm Exam 1, October 4, 2013, TYPE A
Your name Name of the person to your Name of the person to your
left ri ht
True/False
Indicate whether the statement is true orfalse. (Ipoim‘ each)
I. Let X be a continuous random variable, then
Stat 3470, Midterm Exam 1, October 4, 2013, TYPE A
Your name
Name of the person to your
left
Name of the person to your
right
True/False
Indicate whether the statement is true or false. (1point each)
_
1. Let X be a continuous random variable, then P(X a)
Sample test for Midterm 2
Short Answer
1.
Let X denote the amount of time for which a book on 2-hour reserve at a college-library
is checked out by a randomly selected student and suppose that X
Calculate the following probabilities:
a.
b.
P(X 1)
P(.5 X 1
Your name
Name of the person to your
left
Name of the person to your
right
There are a total of 40 points on this exam. Please read each question carefully and ask me if
you have any questions. You cannot get full credit unless you show your work. Partial
Sample test for Midterm 2
Short Answer
1. Let X denote the amount of time for which a book on 2-hour reserve at a college-library is checked out by a
randomly selected student and suppose that X
Calculate the following probabilities:
a.
b.
P(X 1)
P(.5 X 1
Confidence Intervals For
Specific Distributions
Sections 7.2-7.3
Learning Objectives: Students should be able to:
Calculate a confidence interval for the mean of a
Normally distributed population with unknown variance
Calculate a confidence interval for t
Hypothesis Tests: Proportions
Sections 8.3, 8.4
Learning Objectives: Students should be able to:
Choose an appropriate test for a population proportion
Carry out that test for appropriate hypotheses
Come to the appropriate conclusions
Note: These are the
Simple Linear Regression, Part 2
Sections 12.3, 12.4
Learning Objectives: Students should be able to:
Make inference about population parameters
Confidence intervals
Hypothesis tests
Make predictions for new observations of independent
variables based on
Simple Linear Regression, Part 2
Sections 12.3, 12.4
Learning Objectives: Students should be able to:
Make inference about population parameters
Confidence intervals
Hypothesis tests
Make predictions for new observations of independent
variables based
Confidence interval for expected response
We want to estimate the expected load
draft a barge of 200 feet long.
E(Y)=
We estimate E(Y):
Distribution of
Confidence interval (cont.)
Confidence interval (continued)
Simple Linear Regression, Part 1
Sections 12.1, 12.2
Learning Objectives: Students should be able to:
Understand the assumptions of a regression model
Correctly interpret the parameters of a regression model
Estimate the parameters of a regression model
N
Assessing Model Adequacy
Sections 13.1
Learning Objectives: Students should be able to:
Use graphical tools to diagnose adequacy of linear
regression models
Understand two ways to generalize the simple linear
regression model
1
Assessing Model Adequacy
Confidence Intervals For
Specific Distributions
Sections 7.2-7.3
Learning Objectives: Students should be able to:
Calculate a confidence interval for the mean of a
Normally distributed population with unknown variance
Calculate a confidence interval for
Hypothesis Tests Overview
Sections 8.1, 8.4
Learning Objectives: Students should be able to:
Understand the logic behind hypothesis tests
Develop appropriate null and alternative hypotheses
Calculate and interpret p-values
Understand type I and type I
Hypothesis Tests: Means
Sections 8.2, 8.4
Learning Objectives: Students should be able to:
Choose an appropriate test for a population mean
Carry out that test for appropriate hypotheses
Come to the appropriate conclusions
1
Hypothesis Tests for Populatio
Samples
From a question from the book: Suppose the time spent by a randomly selected
student who uses a terminal connected to a local time-sharing
computer facility has a gamma distribution with mean 20 min and
variance 80 min2.
We have answered questions
Point Estimation Overview
Section 6.1
Learning Objectives:
Know estimation vocabulary and notation
Understand desirable properties for an estimator
Bias
Variance
Mean Squared Error
Be able to calculate estimator properties for known
distributions
1
Point
Point Estimation Overview
Section 6.1
Learning Objectives:
Know estimation vocabulary and notation
Understand desirable properties for an estimator
Bias
Variance
Mean Squared Error
Be able to calculate estimator properties for known
distributions
1
Confidence Interval Overview
Section 7.1
Learning Objectives: Students should be able to:
Understand the meaning and purpose of confidence
intervals
Calculate a confidence interval for the mean of a
Normally distributed population with known variance
Corr
Point Estimation Methods
Section 6.2
Learning Objectives:
Understand and be able to apply two methods of
constructing estimators
Method of Moments
Maximum Likelihood
1
Finding good estimators
Two methods:
Method of Moments
Maximum Likelihood
Start with a
Point Estimation Methods
Section 6.2
Learning Objectives:
Understand and be able to apply two methods of
constructing estimators
Method of Moments
Maximum Likelihood
1
Finding good estimators
Two methods:
Method of Moments
Maximum Likelihood
Start wi
Confidence Interval Overview
Section 7.1
Learning Objectives: Students should be able to:
Understand the meaning and purpose of confidence
intervals
Calculate a confidence interval for the mean of a
Normally distributed population with known variance
C
Hypothesis Tests Overview
Sections 8.1, 8.4
Learning Objectives: Students should be able to:
Understand the logic behind hypothesis tests
Develop appropriate null and alternative hypotheses
Calculate and interpret p-values
Understand type I and type II er
Assessing Model Adequacy
Sections 13.1
Learning Objectives: Students should be able to:
Use graphical tools to diagnose adequacy of linear
regression models
Understand two ways to generalize the simple linear
regression model
1
Assessing Model Adequacy
Di
Simple Linear Regression, Part 1
Sections 12.1, 12.2
Learning Objectives: Students should be able to:
Understand the assumptions of a regression model
Correctly interpret the parameters of a regression model
Estimate the parameters of a regression mode
Statistics 3470: Autumn - Final Review
Disclaimer: This is a set of practice problems. This is not intended to be a preview of the actual
exam.
1. We have two independent random variables X 1 and X 2 . Suppose that
E X 1 , Var X 1 6 and E X 2 , Var X 2 10
Statistics 3470: Autumn - Final Review
Disclaimer: This is a set of practice problems. This is not intended to be a preview of the actual
exam.
1. We have two independent random variables X1 and X 2 . Suppose that
E X1 , Var X1 6 and E X 2 , Var X 2 10 .