XL2B: Excel2013: Model Trendline Multi 1/24/2018 V0M. Process Advice.

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XL2B: Excel2013: Model Trendline Multi 1/24/2018 V0M 1 Model Using Trendline Multiple Models in Excel 2013 by Milo Schield Member: International Statistical Institute US Rep: International Statistical Literacy Project Director, W. M. Keck Statistical Literacy Project 2 Assignment: 1. Goal: Generate six charts. Use different models of the association between two variables (slides 6-11). 2. Six models: linear with forecast, linear with zero intercept, polynomial, logarithmic, power & exponential. 3. For each chart, show trend-line, regression equation and R 2. Show title and axis headings for all 4. No description of association (trend) is required. No comparison of fit is required (See slide 12) Slides at: www.statlit.org/pdf /Excel2013-Model-Trendline-Multi-Slides.pdf Get data at www.statlit.org/excel/pulse.xls To review using Trendline, see www.statlit.org/pdf/ Excel2013-Model-Trendline-Linear-Slides.pdf 3 4 Process Advice 1.Create first XY chart: Weight (Y), Height (X) 2.Format Y axis [Min, Max]: [90, 230] 3.Add axis titles and chart title. Create trendline, equation and R-squared. Format as needed. Line can be solid or dashed 4.Copy + paste this graph to create next graph. 5. Modify next graph as needed. Step 4 saves time: skip repeating first 3 steps. Algebraic Models 1) Linear: Y=a+bx. Linear with prediction 2) Linear: Y=a+bx. Linear with zero intercept 3) Polynomial: Y= a+bx+cx 2 +dx 3. Multi-curves 4) Logarithmic: Y=a*Ln(x) + b. Ratio scale. Equal ratios have equal differences Log 10 (1) = 0; Log 10 (10) = 1; Log 10 (100) = 2 5) Power model: Y=ax b [Between log & exp.] 6) Exponential: Y=ae x/b. Constant rate of change 5 To create each graph, use Trendline: More Options Excel2013 Model Trendline Multi V0M 6 1) Linear Model w Forecast Set X [min, max]: [58, 78]. Select Chart Elements. Check Trendline box. Select More Options. 6 1,2 4 3 5 1 All 2 Select Algebraic model Check Equation & R-square [Check Forecast or Intercept] www.statlit.org/pdf/excel2013-model-trendline-multi-slides.pdf

XL2B: Excel2013: Model Trendline Multi 1/24/2018 V0M 7 2) Linear Model: Intercept = 0 8 3) Polynomial Model 9 4) Logarithmic Model 10 5) Power Model 11 6) Exponential Model 12 Comparison of Models by Fit [Not Required] Fit measured by R-sq: Percentage of Weight explained by Height 40.6% Linear (intercept=0) << Worst fit 61.2% Logarithmic model << OK fit. 61.6% Linear model << OK fit. Simplest 62.1% Polynomial model << OK fit. 63.3% Exponential << Best fit. Complex 63.33% Power model (2) << Best fit. Complex www.statlit.org/pdf/excel2013-model-trendline-multi-slides.pdf

1 Model Using Trendline Multiple Models in Excel 2013 by Milo Schield Member: International Statistical Institute US Rep: International Statistical Literacy Project Director, W. M. Keck Statistical Literacy Project Slides at: www.statlit.org/pdf /Excel2013-Model-Trendline-Multi-Slides.pdf

2 Assignment: 1. Goal: Generate six charts. Use different models of the association between two variables (slides 6-11). 2. Six models: linear with forecast, linear with zero intercept, polynomial, logarithmic, power & exponential. 3. For each chart, show trend-line, regression equation and R 2. Show title and axis headings for all 4. No description of association (trend) is required. No comparison of fit is required (See slide 12) Get data at www.statlit.org/excel/pulse.xls To review using Trendline, see www.statlit.org/pdf/ Excel2013-Model-Trendline-Linear-Slides.pdf

3 Process Advice 1.Create first XY chart: Weight (Y), Height (X) 2.Format Y axis [Min, Max]: [90, 230] 3.Add axis titles and chart title. Create trendline, equation and R-squared. Format as needed. Line can be solid or dashed 4.Copy + paste this graph to create next graph. 5. Modify next graph as needed. Step 4 saves time: skip repeating first 3 steps.

4 Algebraic Models 1) Linear: Y=a+bx. Linear with prediction 2) Linear: Y=a+bx. Linear with zero intercept 3) Polynomial: Y= a+bx+cx 2 +dx 3. Multi-curves 4) Logarithmic: Y=a*Ln(x) + b. Ratio scale. Equal ratios have equal differences Log 10 (1) = 0; Log 10 (10) = 1; Log 10 (100) = 2 5) Power model: Y=ax b [Between log & exp.] 6) Exponential: Y=ae x/b. Constant rate of change

5 To create each graph, use Trendline: More Options. 6 1,2 4 3 5 1 All 2 Select Chart Elements. Check Trendline box. Select More Options. Select Algebraic model Check Equation & R-square [Check Forecast or Intercept]

6 1) Linear Model w Forecast Set X [min, max]: [58, 78]

7 2) Linear Model: Intercept = 0

8 3) Polynomial Model

9 4) Logarithmic Model

10 5) Power Model

11 6) Exponential Model

12 Comparison of Models by Fit [Not Required] Fit measured by R-sq: Percentage of Weight explained by Height 40.6% Linear (intercept=0) << Worst fit 61.2% Logarithmic model << OK fit. 61.6% Linear model << OK fit. Simplest 62.1% Polynomial model << OK fit. 63.3% Exponential << Best fit. Complex 63.33% Power model (2) << Best fit. Complex