Project 4:
Arm length and height relation
To collect measurements of both height and forearm
length (from elbow to fingertip of the middle finger of the right hand) to the
nearest 0.1 centimeter from 20 people outside the class(various heights from
infant to adult evenly distributed).
|
Forearm |
|
|
|
|
|
|
|
|
|
|
|
Height |
|
|
|
|
|
|
|
|
|
|
|
Forearm |
|
|
|
|
|
|
|
|
|
|
|
Height |
|
|
|
|
|
|
|
|
|
|
1. Graphing the
Data. Arrange forearm length data in a ascending order and input the data from the table above
into a graphing utility, and use it to make a scatter plot of the data. (See
pages 96-100) (x represents forearm length, y
represents height)
2. Fitting a
Model to Data. Find a linear regression
model of the data using a graphing utility with regression features (such as
TI-82,83,83 plus or Excel, Maple).
a) Write the
linear regression model and graph it with the data.
b) What is the
slope of the line? Explain the meaning
of the slope.
c) Does the
line appear to fit the data well? (r = ?, refer to
page 100)
3. Using the
above model to predict your height based on your actual forearm length. Supply your actual height and compare it with
the prediction height (every member of your group.)
4.Comparing the 20 pairs of actual data
with the linear model predictions.
|
Forearm |
|
|
|
|
|
|
|
|
|
|
|
Height |
|
|
|
|
|
|
|
|
|
|
|
Model(height) |
|
|
|
|
|
|
|
|
|
|
|
Forearm |
|
|
|
|
|
|
|
|
|
|
|
Height |
|
|
|
|
|
|
|
|
|
|
|
Model(height) |
|
|
|
|
|
|
|
|
|
|
How
do the model values compare to the values from the table?