Worksheet 5, Chapters 4 & 5
________________________
Surname, Given Name
For this project, we will measure thumbs, wrists, and necks for everyone in the room. We have
recorded the data, and put it in three lists on our TI calculators
Here is the story (from Gulliver’s Travels, by Dean Swift). When Gulliver washed up on Lilliput, the
Lilliputians needed to make him some new clothes. But he was so big, compared to them, that their
tape measure wouldn’t go around his wrist or neck. So they just measured around his thumb, and
claimed that it could be used to predict wrist, neck, and other body sizes.
We will investigate two possible models: neck circumference as a function of thumb circumference, and
neck circumference as a function of wrist circumference. We will calculate with the idea that the
thumb measurement is the independent (explanatory) variable, and that wrist and neck are dependent
variables.
Perform the regressions, and record for both: slope, intercept, r, and r2.
Thumb as X, Neck as Y: Slope: ___________ Intercept: ___________ r: ___________ r2: __________
Wrist as X, Neck as Y: Slope: ___________ Intercept: ___________ r: ___________ r2: __________
Predict a neck size for a thumb 60 mm in circumference: _____________________
Is this Interpolation, Extrapolation, or a Solve (Circle one).
Predict a neck size for a wrist 166 mm in circumference: _____________________
Is this Interpolation, Extrapolation, or a Solve (Circle one).
Predict a neck size for a thumb 120 mm in circumference: _____________________
Is this Interpolation, Extrapolation, or a Solve (Circle one).
Predict a thumb size for a neck 415 mm in circumference: _____________________
Is this Interpolation, Extrapolation, or a Solve (Circle one).