Answer:
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.