GLOBAL WARMING AND HURRICANE CORRELATION BY THE SHARK TEAM BY THE SHARK TEAM.

Slides:



Advertisements
Similar presentations
Chapter 9: Simple Regression Continued
Advertisements

11-1 Empirical Models Many problems in engineering and science involve exploring the relationships between two or more variables. Regression analysis.
Objectives 10.1 Simple linear regression
Inference for Regression
6-1 Introduction To Empirical Models 6-1 Introduction To Empirical Models.
Regression Analysis Once a linear relationship is defined, the independent variable can be used to forecast the dependent variable. Y ^ = bo + bX bo is.
Ch11 Curve Fitting Dr. Deshi Ye
Introduction to Regression Analysis
© 2010 Pearson Prentice Hall. All rights reserved Least Squares Regression Models.
Chapter 10 Simple Regression.
BA 555 Practical Business Analysis
TEAM TERMINATOR Brian Novak Danny Ohrn Michael Cleaver Emily Ramage.
Linear Regression and Correlation
The Simple Regression Model
The Basics of Regression continued
Matching level of measurement to statistical procedures
ASSESSING THE STRENGTH OF THE REGRESSION MODEL. Assessing the Model’s Strength Although the best straight line through a set of points may have been found.
Chapter 11 Multiple Regression.
Lecture 23 Multiple Regression (Sections )
Simple Linear Regression Analysis
Correlations and T-tests
Business Statistics - QBM117 Interval estimation for the slope and y-intercept Hypothesis tests for regression.
Assessing Hurricane Intensity TEAM TIGERS HeatherEleanorMattAristaElizabeth This presentation funded by Halliburton.
11-1 Empirical Models Many problems in engineering and science involve exploring the relationships between two or more variables. Regression analysis.
Summary of Quantitative Analysis Neuman and Robson Ch. 11
1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Slides by JOHN LOUCKS & Updated by SPIROS VELIANITIS.
Correlation and Regression
Active Learning Lecture Slides
Introduction to Linear Regression and Correlation Analysis
Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 12 Analyzing the Association Between Quantitative Variables: Regression Analysis Section.
Copyright © 2012 Pearson Education. All rights reserved Copyright © 2012 Pearson Education. All rights reserved. Chapter 15 Inference for Counts:
Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Chapter Inference on the Least-Squares Regression Model and Multiple Regression 14.
Multiple Regression Analysis
Correlation and Regression
Inferences in Regression and Correlation Analysis Ayona Chatterjee Spring 2008 Math 4803/5803.
© The McGraw-Hill Companies, Inc., Chapter 11 Correlation and Regression.
Multiple regression - Inference for multiple regression - A case study IPS chapters 11.1 and 11.2 © 2006 W.H. Freeman and Company.
Production Planning and Control. A correlation is a relationship between two variables. The data can be represented by the ordered pairs (x, y) where.
Elementary Statistics Correlation and Regression.
1 Chapter 12 Simple Linear Regression. 2 Chapter Outline  Simple Linear Regression Model  Least Squares Method  Coefficient of Determination  Model.
Multiple Regression and Model Building Chapter 15 Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin.
Inference for Regression Chapter 14. Linear Regression We can use least squares regression to estimate the linear relationship between two quantitative.
Lesson Multiple Regression Models. Objectives Obtain the correlation matrix Use technology to find a multiple regression equation Interpret the.
Statistics for Business and Economics 8 th Edition Chapter 11 Simple Regression Copyright © 2013 Pearson Education, Inc. Publishing as Prentice Hall Ch.
© Copyright McGraw-Hill Correlation and Regression CHAPTER 10.
Regression & Correlation. Review: Types of Variables & Steps in Analysis.
STA 286 week 131 Inference for the Regression Coefficient Recall, b 0 and b 1 are the estimates of the slope β 1 and intercept β 0 of population regression.
Hypothesis Testing Errors. Hypothesis Testing Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean.
I271B QUANTITATIVE METHODS Regression and Diagnostics.
June 30, 2008Stat Lecture 16 - Regression1 Inference for relationships between variables Statistics Lecture 16.
Copyright (C) 2002 Houghton Mifflin Company. All rights reserved. 1 Understandable Statistics Seventh Edition By Brase and Brase Prepared by: Lynn Smith.
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.
Hypothesis Testing. Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean μ = 120 and variance σ.
Jump to first page Inferring Sample Findings to the Population and Testing for Differences.
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Multiple Regression Chapter 14.
Chapter 13 Linear Regression and Correlation. Our Objectives  Draw a scatter diagram.  Understand and interpret the terms dependent and independent.
MARCH 18, 2014 DATA ANALYSIS. WHAT TO DO WITH DATA Take a look at your data Histogram Descriptive statistics Mean, mode, range, standard deviation/standard.
Regression and Correlation
Inference for Regression (Chapter 14) A.P. Stats Review Topic #3
Chapter 11: Simple Linear Regression
Part Three. Data Analysis
Regression Computer Print Out
Chapter 12 Inference on the Least-squares Regression Line; ANOVA
Multiple Regression Models
BA 275 Quantitative Business Methods
15.1 Goodness-of-Fit Tests
Correlation and Regression
Chapter 14 Inference for Regression
Presentation transcript:

GLOBAL WARMING AND HURRICANE CORRELATION BY THE SHARK TEAM BY THE SHARK TEAM

Null Hypothesis There Is No Correlation Between Global Warming And Hurricane Frequency And IntensityThere Is No Correlation Between Global Warming And Hurricane Frequency And Intensity

Global Warming Indicator Average global temperature deviation data from 1899 until present is used as the global warming indicator in all correlations and statistical analysis.Average global temperature deviation data from 1899 until present is used as the global warming indicator in all correlations and statistical analysis. We consider the signature of global warming to be present in the temperature data from 1973 until 2005.We consider the signature of global warming to be present in the temperature data from 1973 until 2005.

Hurricane Frequency The data shows a relative steady frequency of hurricanes until a distinct increase in the last decadeThe data shows a relative steady frequency of hurricanes until a distinct increase in the last decade

Hurricane Pressure …and also a substantial decrease in the average hurricane pressure…and also a substantial decrease in the average hurricane pressure

Analysis Procedures ANOVA between the last two decades of hurricane frequency looking for a significant differenceANOVA between the last two decades of hurricane frequency looking for a significant difference Correlation between average global temperature deviation from 1899 and hurricane frequencyCorrelation between average global temperature deviation from 1899 and hurricane frequency Correlation between temperature from 1987 until present with the hurricane frequency Correlation between temperature from 1987 until present with the hurricane frequency

This graph shows… Average hurricane strength as measured by category has not changed much over this time span.Average hurricane strength as measured by category has not changed much over this time span. However, there is a sharp increase in hurricane frequency after 1994 after a long period of downward trend.However, there is a sharp increase in hurricane frequency after 1994 after a long period of downward trend.

ANOVA analysis We attempted to quantify this change in frequency using an ANOVA between the years ’82- ’94 and ’95-’05.We attempted to quantify this change in frequency using an ANOVA between the years ’82- ’94 and ’95-’05.

ANOVA Results ’82-’94 yields an average of 3.6 hurricanes per year. ’95-’05 has an average of 7.85.’82-’94 yields an average of 3.6 hurricanes per year. ’95-’05 has an average of The difference in means was significant with p=.017.The difference in means was significant with p=.017.

ANOVA interpretation This means that there is a significant change in frequency in the last 10 years compared to the previous 10.This means that there is a significant change in frequency in the last 10 years compared to the previous 10.

Regression Since we are using global mean temperature as our measure of global warming, it seems logical to look for a correlation between the temperature and hurricane frequency.Since we are using global mean temperature as our measure of global warming, it seems logical to look for a correlation between the temperature and hurricane frequency.

Regression Analysis To this end, we ran two regressions.To this end, we ran two regressions. The first was for the all the data, the second was from ’73 on.The first was for the all the data, the second was from ’73 on.

First regression The first regression yielded an F-score of 39.1 with 105 degrees of freedom. This yields a p-value of 9e-9, which is very highly significant.The first regression yielded an F-score of 39.1 with 105 degrees of freedom. This yields a p-value of 9e-9, which is very highly significant.

But… Obviously, there are residuals about the linear fit that are non-random, especially a clump around 0 on the X-axis.Obviously, there are residuals about the linear fit that are non-random, especially a clump around 0 on the X-axis.

Explanation… If you look at the first graph, we can see that hurricane frequency has a peak that corresponds with about a fifteen year lag behind the global temperature.If you look at the first graph, we can see that hurricane frequency has a peak that corresponds with about a fifteen year lag behind the global temperature.

More explanation… This lag means that for any change in our X value (temperature), there will be a time of about 15 years before our Y values change, which will cause a clump in the data.This lag means that for any change in our X value (temperature), there will be a time of about 15 years before our Y values change, which will cause a clump in the data.

This means… There is about a fifteen year lag behind the global warming signal.There is about a fifteen year lag behind the global warming signal. Which means that the system hasn’t fully responded to the increase in global temperature.Which means that the system hasn’t fully responded to the increase in global temperature.

More meaning… The data shows an approximately stable slope in temperature increase over the last 20 years. Running a regression with hurricane frequency should yield a good linear model with some predictive power for future hurricane frequency for the next 15 years.The data shows an approximately stable slope in temperature increase over the last 20 years. Running a regression with hurricane frequency should yield a good linear model with some predictive power for future hurricane frequency for the next 15 years.

’87 on Temp/Freq. Reg.

Prediction Using a least squares fit the the temperature data from ’73-’05, we get a prediction of.77 degrees from the 1899 mean temp and a prediction of about 15 hurricanes for 2020 up from 14 in 2005.Using a least squares fit the the temperature data from ’73-’05, we get a prediction of.77 degrees from the 1899 mean temp and a prediction of about 15 hurricanes for 2020 up from 14 in 2005.

THE END In conclusion, the analysis of the hurricane data and global temperature—allows us to reject our null hypothesis that the two variables aren’t correlated.In conclusion, the analysis of the hurricane data and global temperature—allows us to reject our null hypothesis that the two variables aren’t correlated.

But… The correlations also have a high standard errors in our slope which when factored in give a 95% confidence interval for hurricane frequency of –15 to 52. Obviously, this range is not physical, which leads us to conclude:The correlations also have a high standard errors in our slope which when factored in give a 95% confidence interval for hurricane frequency of –15 to 52. Obviously, this range is not physical, which leads us to conclude:

More but… 1) We used a poor proxy for global warming1) We used a poor proxy for global warming oror 2) There hasn’t been enough time for the last uptick of temperature to show in the frequency of hurricanes.2) There hasn’t been enough time for the last uptick of temperature to show in the frequency of hurricanes.