Boyle’s law Refer to Exercise 32. Here is Minitab output from separate regression analyses of the two sets of transformed pressure data:

Transformation 1: a 1

volume

, pressureb Predictor Coef SE Coef T P Constant 0.36774 0.04055 9.07 0.000 1/V 15.8994 0.4190 37.95 0.000 S = 0.044205 R-Sq = 99.6% R-Sq(adj) = 99.5%

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Transformation 2: avolume, 1 pressure b Predictor Coef SE Coef T P Constant 0.100170 0.003779 26.51 0.000 Volume 0.0398119 0.0002741 145.23 0.000 S = 0.003553 R-Sq = 100.0% R-Sq(adj) = 100.0%

Do each of the following for both transformations.

(a) Give the equation of the least-squares regression line.
Define any variables you use.

(b) Use the model from part

(a) to predict the pressure in the syringe when the volume is 17 cubic centimeters.
Show your work.

Transcribed Image Text:

Residual 0.050- 0.025- 0.000 -0.025- -0.050- -0.075- 0.050 0.075 0.100 0.125 1/V 0.150 0.175