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?