Worksheet Recitation 5_v2

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The University of Oklahoma *

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1315

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Mathematics

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Apr 3, 2024

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docx

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Recitation: Submit this worksheet Name: Recitation (R5): Graphing and Analysis: Worksheet Exercise 1: Using the graph of mass and volume (Sheet 1 of the excel sheet) and the best fit line equation, answer the following on this worksheet : Please attach your graph for Sheet 1 here (copy and paste from excel) . 0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 180.00 0 200 400 600 800 1000 1200 1400 1600 f(x) = 8.92 x R² = 1 Mass Vs. Volume Volume (mL) Mass (g) a. In a visual inspection of the line and data, how confident are you in your ability to make predictions from this data? Explain how you reached this conclusion in a complete sentence. I would say I am confident in my ability to make predictions based on this data. I understand that the mass is our y-value thus, mass/volume will equal my density. b. Given your graph, identify what mass you would expect if the volume is 200 cm 3 ? (Extrapolate the line to make this prediction.) In this instance we can find the mass by multiplying our slope by 200. c. What is the density of this metal? (Density is the slope of the line.) The density of the metal will be 8.2938. d. Consider the error associated with the data point (165, 1473), the highest data point on the graph. What is the range* of ‘acceptable’ values for the volume and for the mass if you were to do the experiment again? i. Volume = 165 +/- 165 x 5% ii. Mass = 1473 +/- 1473 x 5% 1

Recitation: Submit this worksheet Name: *Range includes lowest to highest values. For example, if the value is 10.0 cm and acceptable error is 5%, then 9.5-10.5 cm would be the range. Exercise 2: S ubmit your properly labeled graph of mass v. heat (Sheet 2 of your excel spreadsheet) and answer accompanying questions. I. Label the graph with a Title and the axes names, including the units. Be sure to include the error bars. Insert (copy and paste from excel) here: 2 2.5 3 3.5 4 4.5 5 5.5 0 500 1000 1500 2000 2500 3000 3500 f(x) = 490.31 x R² = 0.96 Heat vs. Mass Mass Heat II. Using the graph and the best fit line equation, answer the following on this worksheet, : a. From a visual inspection: How confident are you in the equation of the line? Not very confident because our points do not line up very well with the trendline. b. Would you call this class data precise? Explain No, because it does not align with the trendline. 2

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