Worksheet Recitation 5_v2
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The University of Oklahoma *
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1315
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Mathematics
Date
Feb 20, 2024
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docx
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Uploaded by UltraSardine4056
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)
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f(x) = 8.95 x − 2.25
R² = 1
Volume v Mass
Volume (cm^3)
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 feel that I am able to make accurate predictions from the line and data because the line of best fit hits every single point on the graph.
b.
Given your graph, identify what mass you would expect if the volume is 200 cm
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? (Extrapolate the line to make this prediction.)
1,786.85 g
c.
What is the density of this metal? (Density is the slope of the line.)
8.93 g/cm^3
1
Recitation: Submit this worksheet Name:
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 = 156.75-173.75
ii.
Mass = 1,399.35-1546.65
*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:
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f(x) = 711.95 x − 809.08
R² = 0.71
heat (J)
Mass of KOH (g)
Heat (J)
2
Recitation: Submit this worksheet Name:
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? I’m confident about the line of the equation because it is about in the middle of each of the dots on the plot.
b.
Would you call this class data precise? Explain
No, because the line doesn’t touch the line of best fit once.
c.
Do you know whether the line and the equation of the line are accurate representations? We know it’s not exactly accurate because the R^2 is nowhere near 1.
d.
Do you think the error bars generated by Excel represent the precision or the accuracy?
They represent accuracy because there is a level of tolerance that each graph has.
3
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