1. ENG 1181 College of Engineering Engineering Education Innovation Center Microsoft Excel: Data Analysis Trendlines Formulas Functions Cell Addressing

2. ENG 1181 Review - Data Analysis with Excel Excel offers many capabilities for analyzing data: 1.Trendlines for predicting data values 2.Use of equations to do sophisticated calculations with the worksheet data using cell referencing 3.Comprehensive library of built-in functions to help calculate and analyze spreadsheet data

3. ENG 1181 Review - Cell Reference: Relative Addressing Relative Cell Address – refer to the cell in the same relative position Ex: B12 – relative reference to value in cell B12, use fill handle to drag to cell C17 Step 1Step 2Step 3

4. ENG 1181 Review - Cell Reference: Absolute Addressing Absolute Cell Address – always refer to the same cell Ex: $B$12 – absolute reference to value in cell B12, use fill handle to drag to cell C17 Step 1 Step 2Step 3

5. ENG 1181 Review - Formulas and the Excel Function Library Formulas are used to calculate values in a cell in a worksheet based on values stored in other cells with optional use of the Excel function library. There are hundreds of functions available

6. ENG 1181 Review – Examples of Functions in Excel Trigonometric functions COS(cell) – calculates cosine of an angle PI() – calculates pi Mathematical functions EXP(cell) – raises e to the power “cell” SQRT(cell) – finds the square root of cell Statistical functions AVERAGE(cells) – finds the mean of a list of cells STDEV(cells) – finds the standard deviation of a list of cells

7. ENG 1181 Predicting Data - Trendlines Excel graphing allows you to graph data and then create an equation that best fits that data. You can choose the type of equation for Excel to use, such as linear, exponential, logarithmic, etc. With a best-fit equation you can predict data values not included in the worksheet Note: You must use X-Y Scatter Plots

8. ENG 1181 Example – Predicting Values YearBirthsDeaths 20023,167,7881,909,440 20033,612,2581,989,841 20043,680,5371,974,797 20053,669,1412,039,369 20063,756,5472,105,361 20073,909,5102,167,999 20084,158,2122,148,463 20094,110,9072,169,518 20104,065,0142,175,613 20114,000,2402,268,553 20123,952,7672,278,994 Question: How many births and deaths would we expect in 2016?

9. ENG 1181 Scatter Plot of Example Data

10. ENG 1181 Adding a Linear Trendline 1.Right click on any data point and select Add Trendline. 2.Select Linear as the regression type *Note that there are other options available to you 3.Select Display Equation on Chart

11. ENG 1181 Trendline for Births Note: You may need to re-format the trendline equation to improve resolution, or move the equation for readability

12. ENG 1181 Formatting Trendline Label 1.Click on trendline label 2.Right-click on edge of label box 3.Select Format Trendline Label

13. ENG 1181 Formatting Trendline Label 4.Select Number 5.Set Decimal Places to 0

14. ENG 1181 Results Using these equations, we can predict the numbers of births and deaths expecting in 2016: Births : 4,474,063 Deaths: 2,428,399 Do you see any problem with these predictions?

15. ENG 1181 Example – Subtracting Data How do we find the difference between births and deaths for each year in the table? 1.Select cell E4 2.Type: = c4 – d4 3.Press enter

16. ENG 1181 Example – Subtracting Data Note cell E4 now displays the difference between cells C4 and D4. Also, note the formula bar shows you the actual calculation in cell E4. The formula bar always shows the actual contents or formula of the selected cell.

17. ENG 1181 Copying Formulas 1.Select cell E4, where equation resides 2.Move cursor to lower right corner of E4, until it changes to a small + (fill handle) 3.Left click and drag down to cell E14 4.The formula is copied from E4 through E14

18. ENG 1181 Copying Formulas Note how Excel uses relative cell addressing when copying. Select cell E14, then look in the formula bar. What does it tell you? Cell E14 should contain: =C14-D14

19. ENG 1181 Formulas & Excel Function Library Excel allows for the use of sophisticated equations and functions to be used Operations –Multiplication: * –Division: / –Exponents: ^ Note that ‘e’ is not defined –Instead, use: exp( )

20. ENG 1181 Order of Precedence Higher-precedence operations are executed before lower-precedence operations If two operations have the same precedence, then the expression is executed from left to right. Excel’s Order of Precedence is: 1.Parentheses (innermost pair first) 2.Exponentiation 3.Multiplication and Division 4.Addition and Subtraction

21. ENG 1181 In-Class Exercise: Type the following expressions in Excel. Share your answer with your teammates. Discuss the order which the operators are executed. Expression: 1.= 7 + 8 / 2 2.= (7 + 8) / 2 3.= 27 ^ 1 / 3 + 32 ^ 0.2 4.= 27 ^ (1 / 3) + 32 ^ 0.2 Answer: 1.Result = 11 ; 8 / 2 executed 1 st 2.Result = 7.5 ; 7 + 8 executed 1 st 3.Result = 11 ; 4.Result = 5 ; 1 / 3 executed 1 st, then ^, then + 27^1 and 32^0.2 executed 1 st, then /, then +

22. ENG 1181 Formulas & Excel Function Library Equations can be combinations of the mathematical operators and functions. The Excel functions can be accessed in two ways: –select the Formulas tab on the ribbon, or –type the function name in the cell or formula bar Remember to use proper cell referencing (see following example)

23. ENG 1181 Formula Example We want to get the following function into Excel so we can plot the data. x(t) = 10 e (-0.5t) sin(3t +2) We need to use Excel’s function library to do this. Type in the equation after select the tab labeled "My Example : =10*EXP(-0.5*B3)*SIN(3*B3+2) Copy this formula through Cell C23. Now you can view a plot of the data!

24. ENG 1181 Absolute Cell Addressing using Multiple Sheets At the bottom of the worksheet, select the tab labeled “Absolute Addressing Example”. This moves you to a different sheet within the workbook.

25. ENG 1181 Absolute Cell Addressing Example x(t) = 10 e (-0.5t) sin(At +2) Change the value in cell B2 to see dynamic changes of the graph. Reset cell B2 to 1.

26. ENG 1181 Absolute Cell Addressing Example In Excel, you also have the ability to reference cells located in a different sheet. 1.Select the tab labeled ″My Example″. In cell C3, select the 3 in the equation and then hit the delete key 2.Select the tab labeled “Absolute Addressing Example” 3.Select the cell B2 4.Press the ″Enter″ key 5.You have now returned to ″My Example″ My Example Absolute Addressing Example

27. ENG 1181 Absolute Cell Addressing Example First hit the up-arrow key to reselect cell C3. Before you drag the new formula in cell C3 of ″My Example″ to adjust the remaining cells, make sure you add “$” to the equation so that the cell you reference in ″Absolute Addressing Example″ tab is an absolute cell reference. After dragging cell C3 to C23 in ″My Example″ tab and change the value of A in cell B2 of ″Absolute Addressing Example″ and return to ″My Example″ to see dynamic changes of in that graph by changing cell B2.

28. ENG 1181 Absolute Cell Addressing Example To organize the various worksheets within your workbook, it is helpful to give them descriptive names. 1.Right click on ″My Example″ tab 2.Select “Rename” 3.Enter a name for the worksheet. (Here we call it ″My Sinusoidal Function″)

29. ENG 1181 Homework Assignment See the assigned work on the appropriate Class page on the EEIC website.