Posted by **Lee** on Monday, October 29, 2012 at 4:39pm.

You throw a rock off the balcony overlooking your backyard the table shows the height of the rock at different times use quadratic regressin to find a quadratic model for this data.

time

0 1 2 3 4 5

height

24 44.2 54.8 55.8 47.2 29

would someone explain this to me had a problem like this before and got it wrong

- algebra -
**Steve**, Monday, October 29, 2012 at 5:02pm
Judging from your other problems, I think quadratic regression is a bit beyond the current subject matter. (If not so, let me know just what you have studied in regards to quadratic regression.) So let's try a simpler approach.

evidently the equation is

y = ax^2 + bx + 24

plugging in the given values,

20.2 = a + b

30.8 = 4a + 2b

31.5 = 9a + 3b

23.2 = 16a + 4b

5 = 25a + 5b

Solving these equations in pairs, we get

(a,b) = (-4.8,25),(-4.9,25.2),(-4.7,24.6),(-4.8,25) and so forth.

If you're not looking for the best fit, you could use a model like

y = -4.8x^2 + 25x + 24

If this approach is not what you wanted, please clarify.

- algebra -
**Lee**, Monday, October 29, 2012 at 9:38pm
The y=4.8x^2+25x+24 was correct answer, but I'm not sure how you got that.

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