(Step-by-Step) The torque, T Nm, required to rotate shafts of different diameters, D mm, on a machine has been tested and recorded below. D (mm) 6 10 14
Question: The torque, T Nm, required to rotate shafts of different diameters, D mm, on a machine has been tested and recorded below.
D (mm) 6 10 14 18 21 25
T (Nm) 5.5 7.0 9.5 12.5 13.5 16.5
- Plot a scatter diagram of the results with diameter of the machine as the independent variable.
- Use the method of least squares to determine the linear regression equation that relates the torque to the diameter.
- Estimate the value of torque required when the diameter is 16 mm.
- Calculate the coefficient of correlation between these variables and comment on your prediction obtained in (c).
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