Home Site Map Contact Us
Rapid Learning Member Login  
Rapid Learning Blog Rapid Learning on Facebook Rapid Learning on Youtube Rapid Learning on Twitter
 How to Learn in 24 Hours?

 Need Help?
M-F: 9am-5pm(PST):
Toll-Free: (877) RAPID-10
US Direct: (714) 692-2900
Int'l: 001-714-692-2900


24/7 Online Technical Support:
The Rapid Support Center

Secure Online Order:
Buy Now

 

 Got Questions?
Frequently Asked Questions
 Need Proof?
Testimonials by Our Users

Trustlink is a Better Business Bureau Program.
Rapid Learning Center is a fivr-star business.

External TrustLink Reviews




 Member Login:
User ID: 
Password: 
 

 Rapid Learning Courses:

Chemistry in 24 Hours

Biology in 24 Hours

Physics in 24 Hours

Mathematics in 24 Hours

Psychology in 24 Hours

SAT in 24 Hours

ACT in 24 Hours

AP in 24 Hours

CLEP in 24 Hours

MCAT in 24 Hours (Medical)

USMLE in 24 Hours (Boards)

DAT in 24 Hours (Dental)

OAT in 24 Hours (Optometry)

PCAT in 24 Hours (Pharmacy)

Nursing Entrance Exams

Certification in 24 Hours

eBook - Survival Kits

Audiobooks (MP3)


 Tell-A-Friend:
Have friends taking science and math courses too? Tell them about our rapid learning system.


Regression Inference

Topic Review on "Title":

Some Definitions

  • Regression: X, the independent variable, the explanatory variable or the predictor variable. Y, the dependent variable, the response variable or the predicted variable. Given X, we will be able to predict Y.
  • Deterministic Model: y = a + bx
  • Probabilistic Model: y = a + bx+ e , where e ~N(0,s2)

Least Square Estimators




 

ANOVA

  • SST=the total variation in the experiment.
  • SST=SSR+SSE
  • SSR (sum of squares for regression): measures the variation explained by regression model.
  • SSE (sum of squares for error): measures the variation not explained by x.

ANOVA Table

Source

df

SS

MS

Test Statistics

 (Mean Squares)

F

Regression

1

SSR

SSR/(1)

MSR/MSE

Model

(=MSR)

Error

n - 2

SSE

SSE/(n-2)

 

(=MSE)

Total

n -1

SST

 

 

F Test

  • F test shall be used to test whether the regression model fit well or not. If the model fit well, the test statistics F will be large. (This test is equivalent to t-test for t2 = F)
  • H0: The regression model fits well.
  • Ha: The regression model does not fit well.
  • F=MSR/MSE
  • Reject H0 if F>Fa,1,n-2
  • a is the probability of a type I error

T test and Confidence level

Text Box: H0: β = 0.   Ha: β ≠0.    

 


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial specifically describes the regression inference. In statistics, we frequently measure two or more variables on the same experimental unit. We do this to explore the nature of the relationship among these variables.  Regression inference is to use knowledge of independent variable(s) to predict dependent variable.

By completing this course, you will learn about the regression inference including regression models and least square method, the analysis of variance (ANOVA), testing regression model, assumptions and estimation and prediction


Tutorial Features:

Specific Tutorial Features:

  • Animated examples showing the operation of least square method is presented in the tutorial.
  • Step by step analysis of ANOVA is presented and served as a base for the subsequent hypothesis testing for the regression model.

Series Features:

  • Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
  • Definition slides introduce terms as they are needed.
  • Visual representation of concepts
  • Animated examples—worked out step by step
  • A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
  • Regression Models and Least Square Method
  • The Analysis of Variance (ANOVA)
  • Testing Regression Model (F test, t test and confidence interval)
  • Assumptions
  • Estimation and Prediction


See all 24 lessons in Introductory Statistics, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Introductory Statistics Visually in 24 Hours

© 2015 Rapid Learning Inc. All rights reserved         Disclaimer | Privacy Policy | Affiliates