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. What quantity does the slope of your graph represent? Explain in words and using ations.

. What quantity does the slope of your graph represent? Explain in words and using ations.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help with questions #11, #12, and #13?

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**Q11.** What quantity does the slope of your graph represent? Explain in words and using equations. **Q12.** Table 4 lists indices of refraction for various media, identify the material 'Mystery A'. Mystery A is ___________. **Table 4: Reference list of indices of refraction for various materials.** | Media | Index of Refraction | |---------------------|---------------------| | Vacuum | 1.00 | | Air | 1.0003 | | Carbon dioxide gas | 1.0005 | | Ice | 1.31 | | Pure water | 1.33 | | Ethyl alcohol | 1.36 | | Quartz | 1.46 | | Vegetable oil | 1.47 | | Olive oil | 1.48 | | Acrylic | 1.50 | | Table salt | 1.51 | | Glass | 1.52 | | Sapphire | 1.77 | | Zircon | 1.92 | | Cubic zirconia | 2.16 | | Diamond | 2.42 | | Gallium phosphide | 3.50 | **Q13.** Estimate the percent error of your observed value by using the slope of your graph as your “measured value” and the identified index of refraction from Table 4 as your “accepted value”.
Transcribed Image Text:**Q11.** What quantity does the slope of your graph represent? Explain in words and using equations. **Q12.** Table 4 lists indices of refraction for various media, identify the material 'Mystery A'. Mystery A is ___________. **Table 4: Reference list of indices of refraction for various materials.** | Media | Index of Refraction | |---------------------|---------------------| | Vacuum | 1.00 | | Air | 1.0003 | | Carbon dioxide gas | 1.0005 | | Ice | 1.31 | | Pure water | 1.33 | | Ethyl alcohol | 1.36 | | Quartz | 1.46 | | Vegetable oil | 1.47 | | Olive oil | 1.48 | | Acrylic | 1.50 | | Table salt | 1.51 | | Glass | 1.52 | | Sapphire | 1.77 | | Zircon | 1.92 | | Cubic zirconia | 2.16 | | Diamond | 2.42 | | Gallium phosphide | 3.50 | **Q13.** Estimate the percent error of your observed value by using the slope of your graph as your “measured value” and the identified index of refraction from Table 4 as your “accepted value”.
**Table 3: Refraction Data for Activity 2(B).** | Trial | θ₁ (degrees) | θ₂ (degrees) | sin θ₁ | sin θ₂ | |-------|--------------|--------------|--------|--------| | 1 | 30 | 12 | 0.5 | 0.208 | | 2 | 40 | 15 | 0.643 | 0.259 | | 3 | 50 | 17 | 0.766 | 0.292 | | 4 | 60 | 20 | 0.866 | 0.342 | | 5 | 70 | 22 | 0.940 | 0.375 | **Q10:** Input your data for sin θ₁ and sin θ₂ into an Excel sheet. Plot the “Scatter” graph. Use Trendlines to extract the slope of the straight line. (See previous labs for instructions on how to do this.) Save your graph as a picture or screenshot it. Make sure it is legible. **Graph Explanation:** The graph titled "Air vs. Mystery A" plots sin θ₂ against sin θ₁. The x-axis represents sin θ₁ ranging from 0 to 1, and the y-axis represents sin θ₂ from 0 to approximately 0.4. The plotted data points show a linear relationship with an upward trend. A trendline is drawn through the data points, with the equation of the line y = 0.356x + 0.0291 displayed on the graph. The R² value, indicating the goodness of fit, is 0.9855, suggesting a strong linear correlation between sin θ₁ and sin θ₂.
Transcribed Image Text:**Table 3: Refraction Data for Activity 2(B).** | Trial | θ₁ (degrees) | θ₂ (degrees) | sin θ₁ | sin θ₂ | |-------|--------------|--------------|--------|--------| | 1 | 30 | 12 | 0.5 | 0.208 | | 2 | 40 | 15 | 0.643 | 0.259 | | 3 | 50 | 17 | 0.766 | 0.292 | | 4 | 60 | 20 | 0.866 | 0.342 | | 5 | 70 | 22 | 0.940 | 0.375 | **Q10:** Input your data for sin θ₁ and sin θ₂ into an Excel sheet. Plot the “Scatter” graph. Use Trendlines to extract the slope of the straight line. (See previous labs for instructions on how to do this.) Save your graph as a picture or screenshot it. Make sure it is legible. **Graph Explanation:** The graph titled "Air vs. Mystery A" plots sin θ₂ against sin θ₁. The x-axis represents sin θ₁ ranging from 0 to 1, and the y-axis represents sin θ₂ from 0 to approximately 0.4. The plotted data points show a linear relationship with an upward trend. A trendline is drawn through the data points, with the equation of the line y = 0.356x + 0.0291 displayed on the graph. The R² value, indicating the goodness of fit, is 0.9855, suggesting a strong linear correlation between sin θ₁ and sin θ₂.
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