Homework 1 Solutions
Please bring a hard copy of your homework to class and submit it at the beginning of the class. You may
either type and/or write down your answers. For the questions that require software, please paste your
output under the question o
Stat 462 Exam 2 Key
1a. Key ideas are that each smaller model must be a subset of the larger model and, given that restriction, we look
for smallest SSE.
FORM NOT BB Answer= x1,x2,x3 then x2,x3 then x3
FORM BB Answer= x2,x3,x4 then x2,x3 then x3
1b. SSE(x
Stat 462 Exam 2 Guidelines
Exam is in-class, Wed. Mar. 24
You can use one page (one side) of notes during the exam.
Readings : Chapters 7, 8, 9
Things you should know
Extra sums of squares - Calculation and interpretation of SSR (set 1 of X|set 2 of X)
W, 1le g
MATH/STAT 415 . MIDTERM EXAMINATION 2 SPRING 2015
L?
Grading: points
Your name (in large BLOCK letters):
Your signature:
Your PSU student1D number:
Instructions:
1. Turn o' all electronic devices!
2. Please check that your exam paper Contains al
Extra Sums of Squares
Partial R 2
General Linear F-test
Multicollinearity
General Linear F-test and Multicollinearity
Lingzhou Xue
Department of Statistics, The Pennsylvania State University
Fall 2016
STAT 462 Applied Linear Regression
Chapter 5: General
Study Guide for Exam 1
STAT 462, Fall 2016
Note:
You are allowed to take one calculator and one sheet (both sides) of formulas and notes
for the exam. However, you cannot share your calculator or notes with others.
The exam will be 50 minutes in class o
Lab Activity 6
Please finish this lab activity during the class time and submit in the drop box on Angel.
Note: Please include the necessary plot(s) or Minitab output that are used to answer each part of the
following question.
The data set PIQ contains d
STAT 462
Fall 2016
Homework #6
Problem 1
1 1
2 1 0
Let = [2 3], = [
], = [1, 2, 0], and = 3 (a scalar). Perform the operations
0 3 3
1 2
below, if possible. If not possible, explain why, and give a simple adjustment that makes it possible.
In this problem
Stat 462 Practice Exam 1 (Solution)
1. The plot below illustrates the relationship between Y = Muscle mass and X = Age for a
random sample of women aged 40 to 79.
Scatterplot of Muscle vs Age
120
110
Muscle
100
90
80
70
60
50
40
50
60
Age
70
80
(a) Write
STAT 462
Fall 2016
Homework #7
Problem 1
Load the Real Estate dataset into R. Suppose we are only interested in working with a subset of the
variables: SalePrice, SqrFeet, and Bedrooms.
a) Let the response variable be = with predictors 1 = and 2 = .
Estim
Homework 6 Solutions
STAT 462 Section 2, Fall 2016
Problem 1
I will only show the results here, not the arithmetic steps that produce them.
(a)
#
[,1] [,2]
# [1,]
-3
-5
(b)
#
[,1]
# [1,]
-3
# [2,]
-5
(c)
#
[,1] [,2]
# [1,]
3
1
# [2,]
3
6
# [3,]
1
-1
(d)
N
STAT 462
Fall 2016
Homework #8
Problem 1
State the number of degrees of freedom that are associated with each of the following extra sums of
squares:
a) (1 |2 )
b) (2 |1 , 3 )
c) (1 , 2|3 , 4 )
d) (1 , 2 , 3 |4 , 5 )
Problem 2
For a multiple regression mo
Fall 2016
Name_
Section_
Stat 462 Exam 1
This is a 50-minute practice exam.
A calculator and one sheet of notes (both sides) are allowed but may NOT be shared with others.
ID_
1. The researchers are interested in relation between handspan and height. They
Lab Activity 7
Note: Please include the necessary plot(s) or Minitab output that are used to answer each part of the
following question.
Open the dataset Senic. We have:
Y = InfctRisk, the risk of infection at a hospital
X1 = Stay, average length of stay
Exercise 1
1. The fitted regression function is:
Y^ i=86.18845.385 X i +8.458 X 2i .
The graph suggests that the fit is quite good.
2
R =.7024 .
2. The null and alternative for the overall F-test is:
H 0 :1=11 =0
H a :10 or 110 .
The appropriate test stat
STAT 462
Fall 2016
Homework #4
NOTE: In all problems/questions that involve using R, make sure to include a wellorganized, easy to follow R code with comments. Also include all the required and
relevant plots and output. For the code, plots, and output th
STAT 462
Fall 2016
Homework #2
NOTE: In all problems/questions that involve using R, make sure to include a wellorganized, easy to follow R code with comments. Also include all the required and
relevant plots and output. For the code, plots, and output th
Homework 2 Solutions
September 9, 2016
Out of a possible 100 points.
Problem 1
Dont forget to do setwd('path/to/your/file/DiamondRings.csv') to tell R where the data file is.
diamond_rings <- read.csv( 'DiamondRings.csv' )
[5] Part (a)
Suppose our data co
STAT 462
Fall 2016
Homework #5
NOTE: In all problems/questions in this and future homework that involve using R,
make sure to include a well-organized, easy to follow R code with comments. Also
include all the required and relevant plots and output. For t
STAT 462
Fall 2016
Homework #1
Note: The majority of questions in this homework are on the prerequisite topics, so review.
For the problems in this homework use calculator/software only for basic operations such
as +,-,*,/, all other calculations are to b
Homework 3 Solutions
September 16, 2016
Problem 1
(a) [6 points]
by = 0.01)
5)
= 'l')
= 'red', lty = 2)
0.2
0.0
0.1
y
0.3
x <- seq(-4, 4,
y <- dt(x, df =
z <- dnorm(x)
plot(x, y, type
lines(x, z, col
4
2
0
2
4
x
Both are symmetric and unimodal. They are c
STAT 462 Section 2, Fall 2016
Homework 1 Solutions
Question:
1
2
Points:
12 6
3
4
5
6 7 8 9
10 8 12 8 8 8 8
10 11 12 Total
8
12
0
100
1. For each of the characteristics below determine whether it is (i) quantitative or qualitative; (ii) discrete or contin
Lab Activity 6
Please finish this lab activity during the class time and submit in the drop box on Angel.
Note: Please include the necessary plot(s) or Minitab output that are used to answer each part of the
following question.
The data set PIQ contains d
Lab Activity 1
Note: You may want to include necessary figures from the output of MINITAB.
Part 1 (30pts) Open the dataset shoes size and height from the ANGEL page. This is the data set we
collected in class.
A. Human heights are usually normally distrib
Lab Activity 2
Please finish this lab activity during the class time and submit in the drop box on Angel.
Please paste/copy any plot and output of Minitab that is used to answer each question.
Part 1: (Driver Age and the Maximum Legibility Distance of Hig
Lab Activity 5
Note: Please include the necessary plot(s) or Minitab output that are used to answer each part of
the following question.
Open the dataset Temperature, which includes geographic latitude, mean January temperature,
mean April temperature, an
STAT/MATH 463 Homework #6, due Wednesday, October 12, 2016
Show your work to the extent possible. Also, you must label the answers to the questions if you
paste plots and computer code into your document without labeling things clearly, you will lose poin
COMMITTEE
APPLICATION
March 18, 2017
The Eisenhower Auditorium
State College, PA
www.pennstateinfusion.org
Due: Sunday, October 16th at 11:59pm
Submit to: pennstateinfusion@gmail.com
Dear Applicant,
Thank you for your interest in becoming a Penn State Inf