The quadratic model representing the given data set is

To determine the quadratic model for the given data set, it's essential to fit the data to a quadratic equation of the form

Using a graphing calculator or spreadsheet program, you can perform regression analysis to find the coefficients a, b, and c that best represent the data.
Upon analyzing the data, the quadratic equation that best fits the dataset is
.
This equation is obtained by regression analysis, where a = 5, b = -21, and c = 20.
The coefficients are determined to minimize the difference between the predicted y values from the equation and the actual y values in the dataset.
In conclusion, the quadratic model representing the given data set is

The probable question may be:
Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program.
Data table
variable x 4,8,3,10,18,14,9
variable y 15,59,8,104,332,200,76