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ENGR-25_Lec-29_MS_Excel-2.ppt 1 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Bruce Mayer, PE Licensed Electrical & Mechanical Engineer Engr/Math/Physics 25 MS Excel Tables/Plots

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ENGR-25_Lec-29_MS_Excel-2.ppt 2 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods The 11 MS Excel Chart Types

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ENGR-25_Lec-29_MS_Excel-2.ppt 3 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Graph Construction Demo TABLE I: Vapor Pressure Data Vapor pressures (mm Hg) of less than one atmosphere as a function of temperature. (All temperatures are in degrees Celsius) Chemical mmHg Sodium, Na oC 1,4-Dioxane C 4 H 8 O oC Acetone (CH3)2CO oC Butyric Acid, C 4 H 8 O oC Stannic Chloride, SnCl oC Given Vapor Pressure Data Construct a Scatter Chart to Find the Clapeyron Eqn Constants m & b for Stannic Chloride

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ENGR-25_Lec-29_MS_Excel-2.ppt 4 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Result Demo_Excel_Table-n-Chart_Build_Fa06.xls

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ENGR-25_Lec-29_MS_Excel-2.ppt 5 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

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ENGR-25_Lec-29_MS_Excel-2.ppt 6 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods All Done for Today Excel Plotting

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ENGR-25_Lec-29_MS_Excel-2.ppt 7 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Bruce Mayer, PE Licensed Electrical & Mechanical Engineer Engr/Math/Physics 25 Appendix

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ENGR-25_Lec-29_MS_Excel-2.ppt 8 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (1) Start Open File Demo_Excel_Table- n- Chart_Build_0511.xl s Copy from Table from Slide-22 → Paste into Demo Sheet Need Vertical Data Horizontal table starting in Col-H Copy Table Cells and EDIT → PASTE SPECIAL → transpose

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ENGR-25_Lec-29_MS_Excel-2.ppt 9 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (2) Result after Transpose Paste

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ENGR-25_Lec-29_MS_Excel-2.ppt 10 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (3) Archive Data Make Scratch WorkSheet; Xfer horizontal Table to to this sheet Edit Worksheet Adjust Headings Delete Cols other Than SnCl4 Move Remaining to Right

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ENGR-25_Lec-29_MS_Excel-2.ppt 11 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (4) Place in cols A & B 1000/T; T in Kelvins Ln(Pv) After Filling A & B Formula for Col-B =LN(E8)

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ENGR-25_Lec-29_MS_Excel-2.ppt 12 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (5) Now need to Sort the Data with the indep var (1000/T) in ASCENDING ORDER DATA → SORT

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ENGR-25_Lec-29_MS_Excel-2.ppt 13 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (6) Highlight/Select Data to Plot Invoke Chart Wizard

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ENGR-25_Lec-29_MS_Excel-2.ppt 14 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (7) Continue with Chart Wizard

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ENGR-25_Lec-29_MS_Excel-2.ppt 15 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (8) Add X-Grid Lines Remove Legend Insert As NEW Sheet Give Descriptive Name

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ENGR-25_Lec-29_MS_Excel-2.ppt 16 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (9) Chart Wizard Result Change X-axis Scale: Shorten Title Clear BackGround Lager, Sq Data Markers GridLine & Text Colors

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ENGR-25_Lec-29_MS_Excel-2.ppt 17 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (10) Select Chart Area Then Right-Clik Select X-axis, Ther Right-Clik

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ENGR-25_Lec-29_MS_Excel-2.ppt 18 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (11) Select Grid Lines, Rt-Clik, Chg Colors Select Data Series, Rt-Clik, Chg Marker

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ENGR-25_Lec-29_MS_Excel-2.ppt 19 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (12) Position Labels at Page Edges → Stretch-Out Plot Area

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ENGR-25_Lec-29_MS_Excel-2.ppt 20 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (13) Chart Fine-Tuning Result Add TrendLine to find Clapeyron m &b Constants

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ENGR-25_Lec-29_MS_Excel-2.ppt 21 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (14) Select Data Series, Rt-Clik, Add TrendLn Select: Linear, Display Parameters

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ENGR-25_Lec-29_MS_Excel-2.ppt 22 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (15) Fine Tune TrendLine Form & Display Done with Plot; and have determined m & b by Trendline Note that the Fit is Excellent; R 2 = 99.92%

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ENGR-25_Lec-29_MS_Excel-2.ppt 23 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (16) Add Fitted Data to table Copy & Paste from Chart Calc Using m & b Analysis of Fit Characteristics Calc Error =(G4-E4)/E4

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ENGR-25_Lec-29_MS_Excel-2.ppt 24 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Put Fitted Data on Chart On Table: Select & Copy Data On chart: EDIT → PASTE SPECIAL → dialog Box above

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ENGR-25_Lec-29_MS_Excel-2.ppt 25 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (17) Fine Tune Two-Variable Display Error Data Series To Make Error Data More Visible Show using SECONDARY Axis at Right

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ENGR-25_Lec-29_MS_Excel-2.ppt 26 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (18)

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ENGR-25_Lec-29_MS_Excel-2.ppt 27 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (19) Fine Tune Two-Axes Display

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ENGR-25_Lec-29_MS_Excel-2.ppt 28 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Chart Construction Demo (20)

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ENGR-25_Lec-29_MS_Excel-2.ppt 29 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Nice Chart

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ENGR-25_Lec-29_MS_Excel-2.ppt 30 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Coefficient of Correlation The coefficient of correlation is an indication of how well the linear relationship determined by the method of least squares fits the data set. The equation for the coefficient of correlation is:

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ENGR-25_Lec-29_MS_Excel-2.ppt 31 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Interpretation of R If R is 0, the points are so scattered that the regression line does not help predict y for a given x. If R is +1 (positive slope) or –1 (negative slope), the points actually lie on a straight line so almost perfect predictions of y for a given x can be made using the regression line.

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ENGR-25_Lec-29_MS_Excel-2.ppt 32 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods Goodness of Fit R ValueCorrelation 0.9 to 1.0Very high positive 0.7 to 0.9High positive 0.5 to 0.7Moderate positive 0.3 to 0.5Low positive -0.3 to 0.3Little, if any -0.5 to -0.3Low negative -0.7 to -0.5Moderate negative -0.9 to -0.7High negative -1.0 to -0.9Very high negative

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ENGR-25_Lec-29_MS_Excel-2.ppt 33 Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

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