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Calculate the lower bound of table 1.1 since the values are unreasonable. Refer to table 1.9 for the trial results for recalculation

Calculate the lower bound of table 1.1 since the values are unreasonable. Refer to table 1.9 for the trial results for recalculation

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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Calculate the lower bound of table 1.1 since the values are unreasonable. Refer to table 1.9 for the trial results for recalculation
Raw Data, Table 1.0 Diameter of the hole (mm) . 6 7 8 9 10 8 9 10 Time taken to drain (s) ((3s.f) = Trial 1 71.4 53.3 63 54.2 49.5 54.9 54.7 42.2 42.3 39.6 42.7 41.7 36.5 38.1 37.7 38.2 37.6 Average = Trial 2 Trial 3 70.2 83.4 Trial 4 81.6 61.8 63.5 62.4 Sample Calculations, Table 1.0: Average Time taken to drain for 6mm Diameter hole size (table 1.0):. 71.4 + 70.2 + 83.4 +81.6 4 Sum of time taken to drain Number of trials = 76.7(3.S.F). ● Average Sample Time (s) Standard (3s.f) Deviation 76.7 62.7 (Q3-Q1) 11.7 51.85 54.8 1.15 2.95 1.6 37.1 38.15 1.05 40.9 42.5 70.8 82.5 62.1 63.25 6,81 0.737 2.57 1.42 0.780 Graph 1.1: Time taken to drain and varying of D Correlation Coefficient (%age) 8.81% 1.75% 4.82% 3.41% 2.07% (s) = Interquartile range (IQR) method for outlier detection - Table 1.1 Diameter of the Q3 Upper Bond hole (mm) Q1 IQR (1.5x IQR+Q3) Lower Bound (1.5 x IQR-Q1) -53.25 6 100.05 7 64.975 -60.375 -47.425 59.225 44.9 -38.5 39.725 -35.525 with a power trendline fitted Correlation Coefficient (%age) for 6mm Diameter hole size (table 1.0): Sample Standard Deviation for 6mm Diameter hole size (table 1.0): √Σ(x₁ - x)² n-1 Note: Using the same number of significant figures for all values involved in a calculation can help ensure that the final result is rounded consistently and accurately. Additionally, rounding to three significant figures is considered a good balance between providing enough precision to convey meaningful information and avoiding excessive complexity and unnecessary digits* Correlation of Coefficient 6.81 76.7 = (71.4-76.7)² + (70.2 - 76.7)² + (83.4 -76.7)² + (81.6- 76.7)² 4-1 = 6.81 seconds (3.S.F). x 100 8.81 % (3.S.F.). Time taken to drain (s) Vs. 1/diameter (mm-¹) = S x 100 Table 1.1 shows that all of the calculations for each trial were correct as all values were within the lower and upper quartile. Outliers in the experiment results are found visually once a graph of the trendlines is constructed.
Transcribed Image Text:Raw Data, Table 1.0 Diameter of the hole (mm) . 6 7 8 9 10 8 9 10 Time taken to drain (s) ((3s.f) = Trial 1 71.4 53.3 63 54.2 49.5 54.9 54.7 42.2 42.3 39.6 42.7 41.7 36.5 38.1 37.7 38.2 37.6 Average = Trial 2 Trial 3 70.2 83.4 Trial 4 81.6 61.8 63.5 62.4 Sample Calculations, Table 1.0: Average Time taken to drain for 6mm Diameter hole size (table 1.0):. 71.4 + 70.2 + 83.4 +81.6 4 Sum of time taken to drain Number of trials = 76.7(3.S.F). ● Average Sample Time (s) Standard (3s.f) Deviation 76.7 62.7 (Q3-Q1) 11.7 51.85 54.8 1.15 2.95 1.6 37.1 38.15 1.05 40.9 42.5 70.8 82.5 62.1 63.25 6,81 0.737 2.57 1.42 0.780 Graph 1.1: Time taken to drain and varying of D Correlation Coefficient (%age) 8.81% 1.75% 4.82% 3.41% 2.07% (s) = Interquartile range (IQR) method for outlier detection - Table 1.1 Diameter of the Q3 Upper Bond hole (mm) Q1 IQR (1.5x IQR+Q3) Lower Bound (1.5 x IQR-Q1) -53.25 6 100.05 7 64.975 -60.375 -47.425 59.225 44.9 -38.5 39.725 -35.525 with a power trendline fitted Correlation Coefficient (%age) for 6mm Diameter hole size (table 1.0): Sample Standard Deviation for 6mm Diameter hole size (table 1.0): √Σ(x₁ - x)² n-1 Note: Using the same number of significant figures for all values involved in a calculation can help ensure that the final result is rounded consistently and accurately. Additionally, rounding to three significant figures is considered a good balance between providing enough precision to convey meaningful information and avoiding excessive complexity and unnecessary digits* Correlation of Coefficient 6.81 76.7 = (71.4-76.7)² + (70.2 - 76.7)² + (83.4 -76.7)² + (81.6- 76.7)² 4-1 = 6.81 seconds (3.S.F). x 100 8.81 % (3.S.F.). Time taken to drain (s) Vs. 1/diameter (mm-¹) = S x 100 Table 1.1 shows that all of the calculations for each trial were correct as all values were within the lower and upper quartile. Outliers in the experiment results are found visually once a graph of the trendlines is constructed.
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