Stat 401
Fall 2016
Shyamala Nagaraj
Slide Set #8
Regression Chapters 1 and 2 of Textbook
(contd.)
Case Study I: Porsche used car prices
For car #1 in Table 1.1 mileage level of 21.5 (21,500 miles) and a
price of 69.4($69,400),
The fitted line predicts a p
Statistics 401 Final Exam
This exam has 7 pages. You may use a calculator. Points are indicated for each problem. A perfect score is 131 points. Partial credit will be given. Show your work. 1. Suppose we observe the data 3, 1, 9, 5, 6, 0, 4, 4, 11. (a) (
Statistics 401 Exam 2
This exam has 6 pages. You may use a calculator. Each response is worth 5 points, a perfect score is 60 points. Partial credit will be given. Show your work. 1. Two bivariate samples of sample size 50 are displayed as scatterplots on
Statistics 401 Problem Set 6 Due in lab, Wednesday, March 10th. You should provide your code (if any) and the numerical answer to each question, along with any written explanation that is requested. 1. Suppose an experiment is performed using sample size
Statistics 401 Problem Set 9 Due in lab, Wednesday, March 24th. 1. Suppose the linear model Y = 1 - 2X + describes a system, where has a normal distribution with mean zero and standard deviation 5/4. We observe an observation (3, U ). What is P (U < -4)?
Statistics 401 Exam 1
A standard normal CDF table is attached. You may use a calculator. Points are indicated for each problem, a perfect score is 95 points. Partial credit will be given. Show your work. 1. Suppose X is a positive random variable with CDF
Statistics 401 Problem Set 8 Due in lab, Wednesday, March 17th. 1. Find two joint distributions corresponding to these marginal distributions: ? ? 0.5 ? ? 0.5 0.5 0.5 Solution: Here are two solutions among infinitely many possible solutions: 1/4 1/4 0.5 1
Practice problems for exam 1 1. Suppose we observe an iid sample Z1 , . . . , Z50 from a population with mean 5 and standard deviation 3. What is the standardized value of Z? What is the probability that Z > 5.5? 2. Suppose we observe an iid sample Z1 , .
Statistics 401 Problem Set 1 Due in lab, Wednesday, January 14th. Use the 2001 average daily maximum temperature data for this problem set. You should provide both your code and the numerical answer to each question. 1. What is the average June temperatur
Statistics 401 Problem Set 4 Due in lab, Wednesday, February 4th. You should provide your code (if any) and the numerical answer to each question, along with any written explanation that is requested. 1. Suppose you observe data X1 , X2 , . . . , Xn , c,
Statistics 401 Problem Set 2 Due in lab, Wednesday, January 21st. Use the 2001 average daily maximum temperature data for questions 2 and 3 in this problem set. You should provide both your code and the numerical answer to each question. 1. Suppose we obs
Statistics 401 Problem Set 10 Due in lab, Wednesday, April 7th. 1. Suppose we observe a bivariate sample of size 3n, where n of the Xi equal -1, n equal 0, and n equal 1. ^ (a) What is the p-value for the slope estimate = 1/4? Your answer will depend on n
Stat 401
Fall 2016
Shyamala Nagaraj
Slide Set #7
Regression Chapters 1 and 2 of Textbook
(contd.)
Simple Linear Regression:
Assumptions and Diagnostics
Checking assumptions using residual plots
Linearity
Constant Variance
Normality
2
Anscombes quartet
Stat 401
Fall 2016
Shyamala Nagaraj
Slide 6
Regression Chapters 1 and 2 of Textbook
1
Topics
Models
A quick look at one population, two population, regression
Simple Linear Regression
Example
Descriptive Analysis
Framework the model
Linearity
Constan
Stats 401
Fall 2016
Shyamala Nagaraj
Slide set #11
Chap 3 Sections 3 and 4
1
Topics
Multiple Regression
Categorical variables (Sec 3.3)
Interaction (Sec 3.4)
Data: Active pulse rate
Potential jurors
Insurance industry innovation
Growth rate of children
Sa
Stats 401
Fall 2016
Shyamala Nagaraj
Slide set #9
1
Topics
Review of Porsche example (Sec 2.1 & 2.2)
ANOVA, R2 , correlation and the regression
coefficient (Sec 2.3)
Prediction (Sec 2.4)
Regression and two population analysis
2
Recall Case Study I:
Po
Stats 401
Fall 2016
Shyamala Nagaraj
Slide set #10
Chap 3 Sections 1 and 2
1
Topics
Multiple Regression
Model
Estimation and interpretation
Diagnostics (residual analysis)
Partitioning variability
Inference on coefficients
Prediction of Y
2
Multiple Linea
Statistics 401 Problem Set 3 Due in lab, Wednesday, January 28th. Use the 2001 average daily maximum temperature data for question 5 in this problem set. You should provide your code (if any) and the numerical answer to each question, along with any writt
Statistics 401 Problem Set 6 Due in lab, Wednesday, March 3rd. You should provide your code (if any) and the numerical answer to each question, along with any written explanation that is requested. 1. Suppose we observe paired data of the following form:
Statistics 401 Problem Set 12 Due in lab, Wednesday, April 21st. 1. The two tables below describe the results of analyzing a ve variable regresison model with sample size n = 50. The following is the population model: Y = 1 + X1 /2 X3 X4 /2 + . The rst ta
Statistics 401 Problem Set 5 Due in lab, Wednesday, February 18th. You should provide your code (if any) and the numerical answer to each question, along with any written explanation that is requested. 1. A table of the binomial distribution for n = 20 tr
Statistics 401 Problem Set 11 Due in lab, Wednesday, April 14th. 1. The following table contains partial output from a simple linear regression: X -2 -1 3 3 4 7 Y ri 5 -0.36 5 u 4 2.13 0 -1.87 1 -0.17 -1 -0.07
(a) What is the missing value u? Solution: Si