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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