Question

Which quadratic regression equation best fits the data set?

Answer 1

The 4th selection is appropriate.

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Desmos.com has a wonderful graphing calculator. They also have apps for Android and iOS phones and tablets. Of course, your TI-83/84 or equivalent will do this, too.

Answer 2

Answer:

D. $y=1.87x^2-5.16x+10.54$

Step-by-step explanation:

The data set is given by,

x                                               y

1                                               5.9

2                                              8.9

3                                              13.4

4                                              20.1

5                                              30.1

6                                              45.1

7                                              67.7

Using the regression calculator, we see that,

The quadratic equation that best fits the data is $y=1.87x^2-5.16x+10.54$ as shown below.

Thus, option D is correct.