Wks 3, Chapters 4 & 5
________________________
Surname, Given Name
For this project, we will measure thumbs, wrists, and necks for everyone in the room. We will record
the data, and put it in three lists on our TI calculators. We will use millimeters, since reasonable
measurements are accurate enough when recorded to whole millimeters.
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.
After we have made the measurements, we will investigate two possible models: wrist circumference as
a function of thumb circumference, and neck circumference as a function of thumb circumference. We
will calculate with the idea that the thumb measurement is the independent (explanatory) variable, and
that wrist and neck are dependent variables.
Begin by recording the data.
Then do scatter plots: Does it look like a possible linear relationship?
Perform the regressions, and record for both: slope, intercept, r, and r2.
Thumb as X, Wrist as Y: Slope: ___________ Intercept: ___________ r: ___________ r2: __________
Thumb as X, Neck as Y: Slope: ___________ Intercept: ___________ r: ___________ r2: __________
Thumb
Wrist
Neck
Thumb
Wrist
Neck
Thumb
Neck
Wrist
I’ve left enough room to record everyone in the class. I’ve used three columns to fit on the paper, but
you will want to enter as only three lists on your calculator.)
(over)
Predict a wrist size for a thumb 60 mm in circumference: _____________________
Is this Interpolation, Extrapolation, or a Solve (Circle one).
Predict a wrist size for a thumb 120 mm in circumference: _____________________
Is this Interpolation, Extrapolation, or a Solve (Circle one).
Predict a thumb size for a wrist 250 mm in circumference: _____________________
Is this Interpolation, Extrapolation, or a Solve (Circle one).