Consider the following table of data.
|
x
|
-3
|
-2
|
-1
|
0
|
1
|
2
|
3
|
|
y
|
-19
|
7
|
9
|
5
|
13
|
51
|
137
|
a. Determine the type of polynomial function which best approximates the data. Justify your answer.
b. Write the regression equation that represents the data.
c. Using the graph of the equation, determine the coordinates of any maximum or minimum points, stating if these points are relative or absolute. Express the values to the nearest hundredth, if necessary.