Data science deep dive: Moving beyond R-squared for better energy analysis

In other words, it shows what degree a stock or portfolio’s performance can be attributed to a benchmark index. Nate Hagens is a well-known speaker on the big picture related to the global macroeconomy. Nate’s presentations address opportunities and constraints we face in the transition away from growth based economies as fossil fuels become more costly. On the supply side, Nate focuses on biophysical economics (net energy) and the interrelationship between money and natural resources. On the demand side, Nate addresses the behavioral underpinnings to conspicuous consumption and offers suggestions on how individuals and society might better adapt to the end of growth.

The CV(RMSE) value of 6%, on the other hand, indicates that, on average, the prediction error is 6%. It is important to note that CV(RMSE) quantifies the average error and not the error observed over individual data points. So, although there might be individual days in a facility when the energy consumption is affected by factors not accounted for in the model, overall, it provides reliable average predictions. You created a regression 3 5 cost of sales model of your building’s energy use and now want to use its predictive capabilities. As I mentioned in an earlier post, you want to steer away from focusing on a singular metric and build a comprehensive understanding of the model. While you will often find yourself nodding in agreement while reading the book (or thinking “I did not know that”), there will be things in the book you disagree with – and perhaps sharply.

Books

Plotting fitted values by observed values graphically illustrates different R-squared values for regression models. In general you should
look at adjusted R-squared rather than
R-squared. Adjusted R-squared
is an unbiased estimate of the
fraction of variance explained, taking into account the sample size and number
of variables. Usually adjusted
R-squared is only slightly smaller than R-squared, but it is possible for
adjusted R-squared to be zero or negative if a model with insufficiently
informative variables is fitted to too small a sample of data.

  • Well, no.  We “explained” some of the variance
    in the original data by deflating it prior to fitting this model.
  • Now, what is the relevant variance that requires
    explanation, and how much or how little explanation is necessary or useful?
  • Or, that it is bad for special types of models (e.g., don’t use R-Squared for non-linear models).
  • He has been interviewed about oil and gas topics on CBS, CNBC, CNN, Platt’s Energy Week, BNN, Bloomberg, Platt’s, Financial Times, The Wall Street Journal, Rolling Stone and The New York Times.

Transparency is how we protect the integrity of our work and keep empowering investors to achieve their goals and dreams. And we have unwavering standards for how we keep that integrity intact, from our research and data to our policies on content and your personal data. An investment with a low R-squared doesn’t move at all like the benchmark. An R-squared of 35, for example, means that only 35% of the portfolio’s movements can be explained by movements in the benchmark index. Peak Oil is covered over just a few pages, and the subject is treated agnostically – or maybe even slightly atheistically.

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He may be alone in thinking that peak oil represents a great opportunity to switch to a clean energy based world economy, rather than the trigger for the end of industrial civilisation. In Chemistry from the University of New Mexico and a Ph.D in Chemistry from the University of Arizona. His research on the oil fields of Saudi Arabia is also posted at Satellite o’er the Desert. He also blogs at Picojoule, and he might eventually be found @joulesburn on Twitter. Following an academic career in Norway and a business career in Scotland I took time off work in 2005 to help care for two sons and two dogs and to allow my wife’s career to blossom.

Use R-Squared to work out overall fit

However, the error variance
is still a long way from being constant over the full two-and-a-half decades, and
the problems of badly autocorrelated errors and a particularly bad fit to the
most recent data have not been solved. Technically, R-Squared is only valid for linear models with numeric data. While I find it useful for lots of other types of models, it is rare to see it reported for models using categorical outcome variables (e.g., logit models).

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Using it in an example, you might see how one fund is doing relative to a benchmark (i.e. this month the S&P went down -5% and the fund wend down -4%). Like I said before, r-squared is a measure of how well a particular line first a set of observations. The R-squared formula is calculated by dividing the sum of the first errors by the sum of the second errors and subtracting the derivation from 1.

There are two major reasons why it can be just fine to have low R-squared values. Forms EIA uses to collect energy data including descriptions, links to survey instructions, and additional information. Exploration and reserves, storage, imports and exports, production, prices, sales. Paul Sears was born in the UK, and did a Ph.D. in chemistry at Cambridge. Since first coming to Canada on a post-doctoral fellowship at the University of Western Ontario in 1973, he has worked at the University of Toronto and in the Canadian Federal Government in Ottawa. Most of his work since the mid 1970s has been on the supply and use of energy in one form or another.

And corn ethanol supporters will need to round up an army of lobbyists to address his chapter on ethanol. Given that this probability is so small, we can confidently say that a relationship between OAT and metered energy use exists in the population data. We get quite a few questions about its interpretation from users of Q and Displayr, so I am taking the opportunity to answer the most common questions as a series of tips for using R2. Read on to find out more about using R-Squared to work out overall fit, why it’s a good idea to plot the data when interpreting R-Squared, how to interpret R-Squared values and why you should not use R-Squared to compare models. The fitted line plot shows that these data follow a nice tight function and the R-squared is 98.5%, which sounds great. However, look closer to see how the regression line systematically over and under-predicts the data (bias) at different points along the curve.

The site was built on twin backbones that would often pull the readership in opposite directions. Drumbeats, edited by Leanan (who remains anonymous to this day) provided daily energy news digest and a forum for debate. And articles, written by a legion of volunteer writers, that strove to provide a more quantitative analysis of global energy supplies and the political, social and economic events that lay behind them. All the content would not have been possible without the tireless efforts of Super G, our site engineer, who maintained and updated software and hardware as the site grew and evolved for over eight years on a voluntary basis.

How to interpret R Squared

Residual plots can reveal unwanted residual patterns that indicate biased results more effectively than numbers. When your residual plots pass muster, you can trust your numerical results and check the goodness-of-fit statistics. To gauge the predictive capability of the model, we could use it to predict the energy use of building and compare those predictions against the actual energy use. The statistical measure that allows us to quantify this comparison is the Coefficient of Variation of Root-Mean Squared Error, or CV(RMSE). People have different opinions about how critical the R-squared value is in regression analysis. No single statistic ever tells the whole story about your data.

R Squared (also known as R2) is a metric for assessing the performance of regression machine learning models. Unlike other metrics, such as MAE or RMSE, it is not a measure of how accurate the predictions are, but instead a measure of fit. R Squared measures how much of the dependent variable variation is explained by the independent variables in the model. R-squared is a handy, seemingly intuitive measure of how well your linear model fits a set of observations.

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