Question

Use a graphing calculator or other technology to answer the question.

Which quadratic regression equation best fits the data set?




yˆ=1.87x2+5.16x+10.54

yˆ=1.87x2+5.16x

yˆ=1.87x2−5.16x+10.54

yˆ=−1.87x2+5.16x
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7

Answer 1

yˆ=1.87x^2−5.16x+10.54 is correct for all future users

Explanation:

Answer 2

9514 1404 393

Answer:

(c) y = 1.87x^2 -5.16x +10.54

Explanation:

The attached graphing calculator output shows the best choice is the third one.

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Additional comment

The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.