-
11. 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.
The table below shows the weight of crops of oranges and the resulting gallons of juice. Using the
weight as the independent variable, find the regression equation of the best model.
x (pounds of oranges). 4321. 5012 5239 5366 8978 25413
y (gallons of orange juice) 341.3 391.5 399.6 417.2 656.1 1927.3
O y = -13.07 + 0.079x
O y = .079x0.998
O y = 264.43 €1.0001x
O y = -7511.9 + 923.99 In x