Homework #1:
1. A random sample of 20 high schoolers had a sample mean of 600 and sample standard deviation
of 10 for the SAT math section. Find a 99% confidence interval for mu.
2. A random sample of 100 washers from manufacturer A had a sample mean thic

Homework #2:
Using the above SAS output, answer the following questions:
1. What is the value of the coefficient of determination? What is the interpretation of the
coefficient of determination? How does the coefficient of determination relate to the
corr

Dr. Jian Zou
MA2612: Lab 2
D 2017
LAB 2 INSTRUCTION
OBJECTIVE: Using R to Learn How to Fit Least Square Regression Line
STEPS:
1. We will examine the interest rate for five year car loans, and the data that we use comes from the U.S.
Federal Reserves mean

Molly Rockwood
Lab4
1. Include the answer to the following question in your lab report: Which variables are continuous?
Which are categorical?
Continuous
MPG, Rear Axel Ratio, Weight, mile time, Displacement
Categorical
V/S, transmission
Discrete Variable

Dr. Jian Zou
MA2612: Lab 3
LAB 3 INSTRUCTION
OBJECTIVE: Lets solve TWO problems!
1. Using R to Learn How to Analyze Two Categorical Variables
2. Using R to Learn How to Perform Multiple Linear Regression
We are going to use the dataset named Rubber. To ac

Report: Lab 2 MA 2612 Tim Marschall
1. Pearson's product-moment correlation
-0.9880813
The correlation is linear, negative and highly existent.
2. N/A
3. a.)
Original Data
Transformed Data (Square root)
The transformed data has a slightly better fit to th

Dr. Jian Zou
MA2612: Lab 1
D 2017
LAB 1 INSTRUCTION
OBJECTIVE: Lets get familiar with R!
STEPS:
1. Open R in your computer. First tip: R is case-sensitive!
2. Type data() to browse the list of R data sets.
1. Look for a bivariate data set!
a.
b.
c.
d.
e.

Molly Rockwood
Homework 3
D03
1.
2.
3. The form of the MLR model is:
Where multiple defines that there are two or more variables being modeled and linear defines the linear
relationship between them (developing a linear equation to fit the model).
4. Inte

MA 2612
Sample Quiz 4 Solutions
A data set consists of the values 1.1 and 7.6 taken from a population with median .
1. For testing H0 : = 5 versus Ha : > 5,
(a) (4 points) The observed value of the Wilcoxon signed rank test statistic, w = 1.
To see this,

MA 2612
Data Analysis Assignment 1
For species with highly developed vision, such as cats and humans, the distribution of ganglion cells across the surface of
the retina is not uniform. For example, cats at birth have a much greater density of these cells

MA 2612
B 16
Sample Quiz 3 Solutions
1. Pulse oximetry is a method used for noninvasive measurement of blood oxygen. A device attached to a patients finger
emits light in two different known wavelengths (red and near-infrared) on one side of the finger, a

MA 2612
Applied Statistics II
Term B, 2016
Personnel
Instructor: J. Petruccelli ([email protected]; 508-831-5362; Stratton Hall 103)
Office Hours: M, F 1-2; Tu, Th 3-4; or by appointment.
Teaching Assistant: Zhiqing Xu ([email protected]; Stratton Hall 204)
Office H

MA 2612
B 16
Sample Quiz 2 Solution
A civil engineer was investigating the effect of the composition of Portland cement on heat evolved during hardening. For a
number of cement batches, he measured a response, HEAT (the heat evolved during hardening (cal/

1. (Chapter 7) In an effort to study the health implications of lead
in gasoline, researchers regressed mean lead concentrations (g/dl)
in umbilical-cord blood of babies born at a major Boston hospital
(variable BABYLEAD) on monthly gasoline lead sales (m

Appendix A
Tables
A.1
Binomial Probabilities
Tabled is the value
y
X
n
P (Y y) =
px (1
x
p)n
x
,
x=0
where Y b(n, p).
To obtain the value of P (Y y) when p > 0.50, use the formula
P (Y y) = 1
where W b(n, 1
P (W n
y
1),
p).
To obtain the value of the p

Multiple Linear Regression
Preview
The MLR model
The response surface and its interpretation
The modeling process
Model Specification (incl. Multivariable Visualization)
Model Fitting
Model Assessment
Model Validation
Analysis of variance
Model c

The Relationship Between Two Variables
Preview
Scatterplots and their analysis
Pearson correlation
Simple linear regression models
Fitting
Assessing fit
Interpreting the model
Making inferences
The regression effect
Categorical data
One-way tabl

Distribution-Free Inference
Preview
The need for distribution-free inference
The sign test and related procedures
Rank-based tests and related procedures
The Wilcoxon signed-rank test
The Wilcoxon rank sum test
Spearman correlation
The Kruskal-Wall

Homework #3:
Face
1
2
3
4
5
6
Observation
90
110
40
160
101
99
1. Based on the above table, perform a chi-squared test for a one way table for a 6 sided die. State your
hypotheses, your test statistic value, and your p-value. Interpret your p-value.
# def

Molly Rockwood
D03
Lab #3
1. Report a mosaic plot and results of Chi-squared test. What is the conclusion that you can
draw?
Mosaic Plot:
Chi-squared test:
From the Mosaic plot, we can assume that bigloss and bighard are not independent of each other
beca

Molly Rockwood
Lab 2
1. The Pearson Correlation is -0.9880813. This means that the correlation is negative, linear, and
highly existent.
2.
Be
3.
Before
After
a.) The transformed data has a slightly better fit to the regression line because the
correlatio

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Homework #4 2612:
1. State the form of the one way means model. Describe each term and your assumptions.
2. In the one way means model, how do we estimate the population mean for the ith population?
What formula do you use? What formula do we use to estim

Homework 5: 2612
1. In the one way eects model, what are the formulas for the estimates
of and i ? Prove that i = 0.
2. For the overall F-test for the one way eects model, what are your
two competing hypotheses? What is the formula for your F-statistic?
W

Homework #6 MA 2612:
1. What is the model for the sign test? Describe each term of the model. What are the
assumptions on the random error term?
2. Describe the statistical hypotheses, the test statistic, and how to calculate the p-value (3 cases)
for the

Problem 1
a: The reason I choose MA-7 to be the filter is, although the data is selected
by randomly, the data of everyday has equal chance to be chosen; besides 7
days is a week, so it more convince to consider a overall data of one week to
indicate the

Problem 1
a: The reason I choose MA-7 to be the filter is, although the data is selected
by randomly, the data of everyday has equal chance to be chosen; besides 7
days is a week, so it more convince to consider a overall data of one week to
indicate the

Week 19 Textbook Assignment
Pages 481 to 484: #9, 11, 13, 17, 20, 21 to 24
9. I think the confidence level used was the 80% one. The true mean of the population was only
captured by 84% of intervals.
11.
a) The margin of error can be described as the true

Week 20 Textbook Assignment
pages 496 to 498: #27, 32, 33, 35, 41, 44, 49 to 52
27. The random condition is met because an SRS of 50 of 175 seniors are interviewed. The normal condition is met because n p-hat = 14 > 10 and n(1 p-hat) = 36 > 10. The indepe

Week 23 Terminology Review
(1) If the correlation between the number of hours a student studies for an exam
and the student's exam score is 0.70 then 70% of the reason why a student's
exam score is the value it is, is due to the number of hours the studen