# 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=

Show working out as I already have the answers I need methodolgy to get ot the right answer

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