1. Construct a scatterplot and identify the mathematical model that best fits the data. Assume
that the model is to be used only for the scope of the given data and consider only linear,
quadratic, logarithmic, exponential, and power models. Use a calculator or computer to
obtain the regression equation of the model that best fits the data. You may need to fit
several models and compare the values of R2.
Activity: Linear
and Residuals
A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as
accurately as possible at various times after the moment of release. The results are shown in the table.
Find the regression equation of the best model.
X (seconds after release) 1 2 3 4 5 6
y (distance in feet) 16 63 146 255 403 572
O y = 13.0 0.686
O y = -148.4 + 112x

O y = -74.9 +290 In x
O y = 15.95x2