GEEN 1300 Introduction to Engineering Computing Fall 2009 Practice Test for Section Test #1 1. Match the following by drawing between items in the adjacent columns. F1 key F2 key F9 key F4 key F5 key make cell address absolute recalculate the spreadsheet help go to edit 2. The table in the spreadsheet shown below contains data on tubing used in heat exchangers. If cell A12 contains the value 0.8 and cell A13 contains the formula =VLOOKUP(A12,A4:D10,3) what value will be displayed in cell A13?
GEEN 1300 Practice Test for Section Test #1 Page 2 3. The table in the spreadsheet below is to be used to evaluate a formula involving x and y values. The formula to be evaluated is 2 x log y y x What formula would you enter in cell C3 that could then be copied throughout the range C3:H7 so that it would evaluate the formula above for all combinations of x and y values? 4. Show 3 iterations of the bisection method to solve for a root of the following equation, starting with initial guesses, 1.5 and 3. Iteration 1 1 2 3 2 0.386x 14.7 x e 27.6 x f x 2 1 x f x mid 2 x f x mid
GEEN 1300 Practice Test for Section Test #1 Page 3 5. Answer these short questions about Excel. 5.1 Write an Excel formula that implements the following algebraic expression. Assume that cell names have been created for the variables. b 1 b 2 t a e cos wt 5.2 What will be displayed when the formula shown below is entered in cell B6 on the spreadsheet shown? 5.3 What is this location on the active selection called?
GEEN 1300 Practice Test for Section Test #1 Page 4 5.4 Describe a quick way to select all the cells in the block containing numbers shown below. 5.5 What was the name of the original spreadsheet developed by Bricklin and Frankston in the 1970s? 5.6 What spreadsheet product was developed for the IBM PC in the early 80s by Kapor and Sachs and was predominant in the market through the early 90 s?
GEEN 1300 Practice Test for Section Test #1 Page 5 6. Describe in detail how you would set up a spreadsheet and use Goal Seek to solve for a root of the following equation. Use a starting guess of x = 1. Use the empty spreadsheet and Goal Seek dialog box below. x 4 e 2x 1
GEEN 1300 Practice Test for Section Test #1 Page 6 7. The following data have been collected to describe the behavior of a Platinum/ Platinum-Rhodium(10%) thermocouple. This thermocouple is used for measurement of high temperatures, such as those in furnaces. The mv column represents the small voltage (or electromotive force -- emf) generated by the thermocouple at different temperatures across a wide range. mv degc 0.0 0.0 0.5 80.0 1.0 146.9 1.5 207.6 2.0 265.0 2.5 320.2 3.0 373.2 3.5 426.1 4.0 477.7 4.5 528.3 5.0 578.1 5.5 627.1 6.0 675.3 These data are set up for Excel's Data Analysis Regression tool in the following way: And the regression results are presented on the next two pages.
GEEN 1300 Practice Test for Section Test #1 Page 7 Regression Statistics Multiple R 0.9999997 R Square 100.0% Adjusted R Square 87.5% Standard Error 0.400 Observations 13 REGRESSION RESULTS Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 0 #N/A #N/A #N/A #N/A #N/A X Variable 1 173.77 1.14 152.6 0.000% 171.14 176.40 X Variable 2-34.601 1.531-22.6 0.000% -38.132-31.071 X Variable 3 9.2390 0.7093 13.0 0.000% 7.603 10.875 X Variable 4-1.2635 0.1353-9.3 0.001% -1.5755-0.9515 X Variable 5 0.066918 0.009089 7.4 0.008% 0.045959 0.087877 RESIDUAL OUTPUT Observation Predicted Y Residuals 1 0 0 2 79.31 0.69 3 147.21-0.31 4 208.10-0.50 5 264.97 0.03 6 319.71 0.49 7 373.27-0.07 8 425.99 0.11 9 477.82-0.12 10 528.56-0.26 11 578.12-0.02 12 626.78 0.32 13 675.44-0.14 700.0 Thermocouple Calibration 600.0 500.0 Temperature -- degc 400.0 300.0 Data Model 200.0 100.0 0.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 emf - mv
GEEN 1300 Practice Test for Section Test #1 Page 8 0.8 Residuals vs emf 0.6 0.4 Residual Value -- degc 0.2 0-0.2-0.4-0.6 0.0 1.0 2.0 3.0 4.0 5.0 6.0 emf - mv 7.1 Describe the type of model fit here and provide an equation for the model on the line below. Type of model: 7.2 Based on the information presented above, assess whether the fit of this model is adequate.
GEEN 1300 Practice Test for Section Test #1 Page 9 8. In the following two examples, the implementation of an algebraic expression is shown as an Excel formula. If there is an error in the Excel formula, show what it is and provide a correct formula; otherwise, write "no error" in the space. T T at H L T L =(T-TL)/a/(TH-TL) 2 h 3R h 3 =PI()*H^2(3*R-H)/3 9. For the equation, 3 x x e 0 show five iterations of a circular solution for a root of this equation. Use a starting guess of x 0.5.
GEEN 1300 Practice Test for Section Test #1 Page 10 10. In the spreadsheet below, the following formula is entered in cell B2: =SUM(A1:A3,C1:C3) 10.1 What result will be displayed in cell B2: 10.2 If the formula in cell B2 is copied to cell C4, what formula will result in cell C4? and what result will be displayed there?
GEEN 1300 Practice Test for Section Test #1 Page 11 11. You are going to set up a spreadsheet to use Excel's Solver to design the optimum garbage can. The can is to contain 1 cubic meter and is in the form of a right cylinder. You want to design the can so that the minimum amount of sheet metal is used in it manufacture, including its lid. 11.1 Show the values and formulas you would set up in the blank spreadsheet below to compute the volume and sheet metal area based on two cells containing the radius and height of the can respectively. 11.2 Show below how you would set up the Solver to find the answer to this problem.