Question

For the ordered pairs (.5, 3), (1,4), (1.5, 5), and (2, 6), what would the ordered pairs be when the data is linearized in order to try to fit a quadratic model?

A. (3, 5), (4, 1), (5, 1.5), (6,2)
B. (.5, 9), (1, 16), (5, 1.5), (6,2)
C. (25, 3), (1,4), (2.25, 5), (4, 6)
D. (25,9), (1,16), (2.25, 25), (4,36)

Answer 1

The correct answer is Option B. The ordered pairs when linearized in order to fit a quadratic model are (.5, 9), (1, 16), (5, 1.5), (6, 2).

Step-by-step explanation:

To linearize the data in order to fit a quadratic model, we need to find the median values of the given ordered pairs. The median values are (1, 4), (1.5, 5.5), and (2, 6). Now we can write the ordered pairs for these median values, which are (4, 1), (5.5, 1.5), and (6, 2). Therefore, the correct option for the ordered pairs when linearized to fit a quadratic model is (B) (.5, 9), (1, 16), (5, 1.5), (6, 2).