Question

2.  When anthropologists study human skeletal remains, an important piece of information is stature (height).  Since skeletons are often incomplete, inferences about stature are based on statistical methods that utilize small bones.  The following data give the relationship between metacarpal bone length and stature.

             x, metacarpal length(cm)             y, stature (cm)    

            45                                           171

            51                                            178

                       39                                           157

            41                                            163

            52                                           183

            48                                           172

            49                                           183

                        46                                           172

1. What is the correlation coefficient, r?  Does this value of r suggest that the regression line is appropriate in estimating bone length and stature?  

2. Find the regression line equation, .

3. Use the regression found in part (c) to approximate the height of a human with a metacarpal bone length of 50 cm.  Round your answer to one decimal place.

Answer 1