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Sladkaya [172]
1 year ago
5

Use quadratic regression to find a

Mathematics
1 answer:
fredd [130]1 year ago
6 0

Answer:

1x² + 1x -3

Step-by-step explanation:

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=ax^2+bx+c \text{ where } a\ne0 .

To compute manually the values of a, b and c is a rather complicated process using a technique known as least squares method.

However, we can use a scientific calculator to compute the three values and arrive at the quadratic equation

Using the points provided, the values are:

a = 1, b = 1, c = -3

The function is 1x² + 1x -3

Note that this is a best-fit function it does not necessarily pass through all 3 points but approximates. The attached graph shows that the function does indeed pass through 2 of the 3 points

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How do you solve 2m-10=44+8m
Damm [24]

Answer:

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6 0
3 years ago
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Use the method of completing the square to write the equation of the given parabola in this form:
siniylev [52]
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Where h is 1 and k is 1

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-3 = a(0-1)^2 + 1

-3 = a(-1)^2 + 1

-3 = a(1) + 1

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-4 = a

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A must be equal to -4

y = -4(x-1)^2 + 1

0 = -4(x-1)^2 + 1

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Divide fpr 4 each term of the equation....x^2 - 2x = -3/4

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square root both sides x-1 = (+/-) 1/2

x1 = +1/2 + 1 = 3/2

x2 = -1/2 + 1 = 1/2

x-intercepts are 1/2 and 3/2, in form (3/2,0); (1/2,0)
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