This question relates to the least squares fitting of experimental data. In an experiment to gather...

 

Transcribed Image Text:

This question relates to the least squares fitting of experimental data. In an experiment to gather data about the drag coefficient of a car, the following data (Drag force F against car velocity v) was obtained. Velocity [m/s] Drag Force (N) 1.0 3.0 2.0 12.0 question. 3.0 27.0 4.0 48.0 It is assumed that the cooling will follow the following equation F(v) = Cov" Show how by taking logs the equation above can be transformed into a simple linear relationship and sketch the transformed data points on a graph. (9) (5 marks] b) Using the relationship below obtain the best straight line (y = a + bx) fit to the transformed data points. 5.0 75.0 Σ Σ Σx Ex Sketch the best fit straight line on to the graph generated in the previous part of this ΣX Σyixi) [15 marks] c) From the results of the second part of this question, identify the values of Co and n. [5 marks] This question relates to the least squares fitting of experimental data. In an experiment to gather data about the drag coefficient of a car, the following data (Drag force F against car velocity v) was obtained. Velocity [m/s] Drag Force (N) 1.0 3.0 2.0 12.0 question. 3.0 27.0 4.0 48.0 It is assumed that the cooling will follow the following equation F(v) = Cov" Show how by taking logs the equation above can be transformed into a simple linear relationship and sketch the transformed data points on a graph. (9) (5 marks] b) Using the relationship below obtain the best straight line (y = a + bx) fit to the transformed data points. 5.0 75.0 Σ Σ Σx Ex Sketch the best fit straight line on to the graph generated in the previous part of this ΣX Σyixi) [15 marks] c) From the results of the second part of this question, identify the values of Co and n. [5 marks]

Answer rating: 100% (QA)

1 Transformation of equation Talking the logarithm of both sides for the equation given Fv C0 vn0 gi... View the full answer