Model Trendline Multi Excel 2013 V0F 1 by Milo Schield Member: International Statistical Institute US Rep: International Statistical Literacy Project Director,

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Model Trendline Multi Excel 2013 V0F 1 by Milo Schield Member: International Statistical Institute US Rep: International Statistical Literacy Project Director, W. M. Keck Statistical Literacy Project Slides at: /Model-Trendline-Multi-Excel2013-6up.pdf Model Using Trendline Non-Linear in Excel 2013

Model Trendline Multi Excel 2013 V0F 2 Goal: Summarize association between two variables 1.Generate seven charts showing association between two quantitative variables (slides 5-11). 2.Use seven different models: linear with forecast, linear with intercept = 0, polynomial, logarithmic, power, exponential and moving average. 3.For each chart (except moving average), show trend-line, regression equation and R 2. Show title and axis for all 4.Review comparison of model R-squared on slide 12. No description of association (trend) is necessary. For details on using Trendline to build a model, see > Model-Trendline-Linear-Excel2013-6up.pdf

Model Trendline Multi Excel 2013 V0F 3 Using Chart Trendline Create Graph. Look for + Sign. Select Chart Elements. Check Trendline box. Select More Options. Select Algebraic model Check Equation & R-square [Check Forecast or Intercept]

Model Trendline Multi Excel 2013 V0F 4 Algebraic Models 1) Linear: Y=a+bx. Straight line, simplest 2) Polynomial: Y= a+bx+cx 2. Multiple curves 3) Logarithmic: Y=aLn(x)+b. Ratio scale. Equal ratios have equal differences Log 10 (1) = 0; Log 10 (10) = 1; Log 10 (100) = 2 4) Power model: Y=ax b [Between log & exp.] 5) Exponential: Y=ae x/b. Constant rate of change 6) Moving average: For time series

Model Trendline Multi Excel 2013 V0F 5 1)Linear Model w Forecast

Model Trendline Multi Excel 2013 V0F 6 1)Linear Model: Intercept = 0

Model Trendline Multi Excel 2013 V0F 7 2) Polynomial Model

Model Trendline Multi Excel 2013 V0F 8 3) Logarithmic Model

Model Trendline Multi Excel 2013 V0F 9 4) Power Model

Model Trendline Multi Excel 2013 V0F 10 5) Exponential Model

Model Trendline Multi Excel 2013 V0F 11,

Model Trendline Multi Excel 2013 V0F 12 Comparison of R-squared Percentage of Weight “explained by” Height 61.6% Linear model 40.6% Linear (intercept = 0) << Worst fit 62.1% Polynomial model 61.2% Logarithmic model 63.1% Power model 63.3% Exponential model << Best fit! No equation/fit for Moving-Average model.