Question

which equation is a quadratic model for the data set? hint use a graphing calculator or a spreadsheet program. data set 6,9,5,12,15,16,8

Answer 1

The quadratic model representing the given data set is
`\(y = 5x^2 - 21x + 20\).`

To determine the quadratic model for the given data set, it's essential to fit the data to a quadratic equation of the form
`\(y = ax^2 + bx + c\).`

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
`\(y = 5x^2 - 21x + 20\)`.

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
`\(y = 5x^2 - 21x + 20\).`

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