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  Circumference vs. Diameter for circular objects Diameter Can 1...

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  Circumference vs. Diameter for circular objects Diameter Can 1...

 

Circumference vs. Diameter for circular objects

DiameterCan 1 (cm)Can 2 (cm)Can 3 (cm)
Trial 16.6 cm9.95 cm5.10
Trial 26.6 cm9.8 cm5.25
Trial 36.6 cm9.9 cm5.2
Mean6.6 cm9.9 cm5.2 cm

 

CircumferenceCan 1 (cm)Can 2 (cm)Can 3 (cm)
Trial 120.9 cm31.65 cm18.25 cm
Trial 220.8 cm31.7 cm18.2 cm
Trial 320.8 cm31.6 cm18.15 cm
Mean20.8 cm32.7 cm18.2 cm

Y1 = 18.2 cm                              Y2 = 32.7 cm

X1 = 5.2 cm                               X2 = 9.9 cm

 

Calculate Slope of Trendline:

(y₂ - y₁)/(x₂ - x₁) = (32.7-18.2) / (9.9-5.2) = 14.5 / 4.7 = 3.085 cm

 

 

Answer the questions below.  You will need to following equation to answer part b.   

 

Circumference    =   ( π )(Diameter)   

 

A. What was the calculated value for the slope of your trendline? The calculated value for the slope of my trendline is 3.1 cm OR 3.085 cm

 

B. What is the expected value for the slope of your trendline? 

 

C. Calculate the % error. 

 

% error = (measured value - true value)     x    100%

                                                True value

 

 

D. Based upon your % error, how good were your measurements? What are other sources of error?   Identify 2 points of the trendline

 

 

 

Answer & Explanation

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Answered by edisonmadiason33 on coursehero.com

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