Question 20 of 25
What is the quadratic regression equation that fits these data?

Number of seconds Height (in feet)
x. y
0. 11
1. 13
2. 13
3. 12
4. 9
5. 1

A. y = -3.07x^2 +0.41x + 15.65

B. y=19.61(0.69^2)

c. y= -2.34x^2 + 2.19x + 16.25

D. y = -1.11x^2 + 3.74x + 10.64

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. As a result, we get an equation of the form:

y=ax2+bx+c where a≠0 .

The best way to find this equation manually is by using the least squares method.

That is, we need to find the values of a ,b, and c such that the squared vertical distance between each point (xi,yi) and the quadratic curve y=ax2+bx+c is minimal.

After solving we get the values of a , b, and c and thus we form the equation

-1.107 X² +3.736 X +10.643

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Question 20 of 25 What is the quadratic regression equation that fits these data? Number of seconds Height (in feet) x. y 0. 11 1. 13 2. 13 3. 12 4. 9 5. 1 A. y = -3.07x^2 +0.41x + 15.65 B. y=19.61(0.69^2) c. y= -2.34x^2 + 2.19x + 16.25 D. y = -1.11x^2 + 3.74x + 10.64

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Question 20 of 25
What is the quadratic regression equation that fits these data?

Number of seconds Height (in feet)
x. y
0. 11
1. 13
2. 13
3. 12
4. 9
5. 1

A. y = -3.07x^2 +0.41x + 15.65

B. y=19.61(0.69^2)

c. y= -2.34x^2 + 2.19x + 16.25

D. y = -1.11x^2 + 3.74x + 10.64