Stats 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) | 1 | 3 | 7 | 12 | 13 | 18 |
T (nm) | 2.1 | 3.1 | 5.1 | 7.6 | 8.2 | 10.6 |
a) Use the method of least squares to determine the linear regression equation that relates the torque to the diamter. Use 3 decimal places for the figures.
T= D+
b) Using your answer for part a), estimate the value of torque required when the diameter is 7mm to 2 decimal places.
T7 =
c) Calcualate the co-efficient of correlation between these variables to 4 decimal places.
r=
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