14. 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 average height, in inches, of a group of students for different ages. Using the ages of the students as the independent
variable, find the regression equation of the best model
x(age in years) 10 11 12 13 14 15
y (h eight in inches) 48 49.5 51 54 58 63
O y = 16.95 + 2.96x
O y = 27.31 e1.056 x
O y = -36.45 + 35.92 In x
O y = 10.25x0.658