Homework 4a: Trend Forecasting and Future Uncertainties

Slides:



Advertisements
Similar presentations
Objective - To graph linear equations using the slope and y-intercept.
Advertisements

1 Correlation and Simple Regression. 2 Introduction Interested in the relationships between variables. What will happen to one variable if another is.
Linear Equations Review. Find the slope and y intercept: y + x = -1.
Regression Analysis Module 3. Regression Regression is the attempt to explain the variation in a dependent variable using the variation in independent.
 With your partner, roll a number cube 20 times. Record your data in a table. Include a column for the cumulative total (or sum) of your rolls up to that.
Chapter 10 Regression. Defining Regression Simple linear regression features one independent variable and one dependent variable, as in correlation the.
AP Statistics Mrs Johnson
Regression Analysis. Unscheduled Maintenance Issue: l 36 flight squadrons l Each experiences unscheduled maintenance actions (UMAs) l UMAs costs $1000.
Gordon Stringer, UCCS1 Regression Analysis Gordon Stringer.
Business Statistics - QBM117 Least squares regression.
Introduction to Linear Regression.  You have seen how to find the equation of a line that connects two points.
Chapter 2 – Simple Linear Regression - How. Here is a perfect scenario of what we want reality to look like for simple linear regression. Our two variables.
Introduction to Linear Regression and Correlation Analysis
Linear Trend Lines Y t = b 0 + b 1 X t Where Y t is the dependent variable being forecasted X t is the independent variable being used to explain Y. In.
Measurement Uncertainties Physics 161 University Physics Lab I Fall 2007.
Ch4 Describing Relationships Between Variables. Pressure.
Ch4 Describing Relationships Between Variables. Section 4.1: Fitting a Line by Least Squares Often we want to fit a straight line to data. For example.
LBSRE1021 Data Interpretation Lecture 11 Correlation and Regression.
Sullivan – Fundamentals of Statistics – 2 nd Edition – Chapter 4 Section 2 – Slide 1 of 20 Chapter 4 Section 2 Least-Squares Regression.
STATISTICS 12.0 Correlation and Linear Regression “Correlation and Linear Regression -”Causal Forecasting Method.
Chapter 8 Linear Regression *The Linear Model *Residuals *Best Fit Line *Correlation and the Line *Predicated Values *Regression.
STA291 Statistical Methods Lecture LINEar Association o r measures “closeness” of data to the “best” line. What line is that? And best in what terms.
Internal Assessment InvestigationAssessmentCriteria.
LESSON 6: REGRESSION 2/21/12 EDUC 502: Introduction to Statistics.
Physics 2.1 AS Credits Carry out a practical physics investigation that leads to a non- linear mathematical relationship.
STATISTICS 12.0 Correlation and Linear Regression “Correlation and Linear Regression -”Causal Forecasting Method.
Regression Analysis Deterministic model No chance of an error in calculating y for a given x Probabilistic model chance of an error First order linear.
1 Statistics 262: Intermediate Biostatistics Regression Models for longitudinal data: Mixed Models.
Forecasting Demand. Forecasting Methods Qualitative – Judgmental, Executive Opinion - Internal Opinions - Delphi Method - Surveys Quantitative - Causal,
Maths Study Centre CB Open 11am – 5pm Semester Weekdays
The General Linear Model. Estimation -- The General Linear Model Formula for a straight line y = b 0 + b 1 x x y.
Chapter 14 Introduction to Regression Analysis. Objectives Regression Analysis Uses of Regression Analysis Method of Least Squares Difference between.
Chapter 8 Linear Regression.
Chapter 4: Basic Estimation Techniques
Regression and Correlation
Writing Linear Equations
Simple Linear Regression
Writing equations in slope intercept form
Linear Regression Special Topics.
Correlation and Simple Linear Regression
Basic Estimation Techniques
Warm-up: This table shows a person’s reported income and years of education for 10 participants. The correlation is .79. State the meaning of this correlation.
Chapter 17 Forecasting Demand for Services
Multiple Regression.
Linear Trends and Correlations
Basic Estimation Techniques
I271B Quantitative Methods
Everyone thinks they know this stuff
CHAPTER 29: Multiple Regression*
Regression Computer Print Out
PARENT GRAPH FOR LINEAR EQUATIONS
Weighted Least Squares Fit
Least-Squares Regression
No notecard for this quiz!!
Lesson 8-3 Using Slopes and Intercepts part 2
Linear Models and Equations
3 4 Chapter Describing the Relation between Two Variables
Chapter 3 Describing Relationships Section 3.2
So far --> looked at the effect of a discrete variable on a continuous variable t-test, ANOVA, 2-way ANOVA.
Exponential Smoothing
Descriptive and Inferential
Warm-up: This table shows a person’s reported income and years of education for 10 participants. The correlation is .79. State the meaning of this correlation.
M248: Analyzing data Block D UNIT D2 Regression.
Write the equation for the following slope and y-intercept:
30-Second Paragraph Purpose: to identify main ideas Method:
Multivariate Analysis Regression
Nazmus Saquib, PhD Head of Research Sulaiman AlRajhi Colleges
Graphing Data Section 1-3.
Correlation and Simple Linear Regression
Forecasting 3 Regression Analysis Ardavan Asef-Vaziri
Presentation transcript:

Homework 4a: Trend Forecasting and Future Uncertainties

Least Squares Code

Not what as asked for – e.g. using libraries to do this task Write your own CODE!

Errors in slope Using just slope and intercept errors – the smaller values indicates that your scatter is too large – so deviant points exist

Make the Y-axis in units of Sigma!

Data Scientist Hat on So how do you weight data like this or should one consider all of the data equal?

Residuals show systematic behavior

Table of Weights per averaged bin: .084 .086 .105 .092 .113 .088 .113 .138 .084 .128 .102 .099 .060 .089 .058 There is a factor of 2 variation here so weighting by inverse square might matter This output was not included in your reports so I have no idea of the weights you actually used

What is the policy implication here?

Non Linear attempts

A policy result