Use a graphing calculator or other technology to answer the question which quadratic regression equation best fits the data set ?

Option C is the correct option.

In other words, the quadratic regression best fits the data set, as it gets very much close to the data values given in the data table.

The graph of the equation    is also attached.

Step-by-step explanation:

x                 y

3                470

4                416

5                403

Analyzing Option A:

Considering the equation

From (3, 470), putting x = 3

From (4, 470), putting x = 4

From (5, 403), putting x = 5

Analyzing Option B:

From (3, 470), putting x = 3

From (4, 470), putting x = 4

From (5, 403), putting x = 5

Analyzing Option C:

Considering the equation

From (3, 470), putting x = 3

So, the approximately result is (3, 527)

From (4, 470), putting x = 4

So, the approximately result is (4, 378)

From (5, 403), putting x = 5

So, the approximately result is (5, 295)

Analyzing Option D:

Considering the equation

From (3, 470), putting x = 3

From (4, 470), putting x = 4

From (5, 403), putting x = 5

Therefore, from the above calculations and analysis, we conclude that Option C is the correct option.

In other words, the quadratic regression best fits the data set, as it gets very much close to the data values given in the data table.

The graph of the equation    is also attached.

f(x) = y

f(-3) = -5

step-by-step explanation: