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anonymous

  • one year ago

@peachpi

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  1. anonymous
    • one year ago
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    It's difficult to explain without the visuals so yeah.

  2. anonymous
    • one year ago
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    1. The function would be linear? Or cubic?

  3. anonymous
    • one year ago
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    you were right. it's cubic

  4. anonymous
    • one year ago
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    Okay good.

  5. anonymous
    • one year ago
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    I'm not sure why some are positive while some are negative.

  6. anonymous
    • one year ago
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    How is it cubic? Because linear just go's straight up and expo starts stable then swoops up.

  7. anonymous
    • one year ago
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    because volume increases between some values and decreases between others. positive rate of change means the function is increasing, negative rates of change means it's decreasing

  8. anonymous
    • one year ago
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    the rate of changes are just the volume of the cubes right?

  9. anonymous
    • one year ago
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    okay that's cleared up.

  10. anonymous
    • one year ago
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    no, the rates of change are the CHANGES in volume over the interval. So going from 1 cut to 2 increases volume by 28 cubic units. Going from 3 to 4 decreases volume by 44 units

  11. anonymous
    • one year ago
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    oh oh okay right.

  12. anonymous
    • one year ago
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    Okay confusion cleared.

  13. anonymous
    • one year ago
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    you know it's cubic because volume is in cubic units for one. tbh, this question is incredibly misleading. This is like the one we did where the equation turned out to be 2^x. You're building your data from a specific function, so you don't really need to do regression. That's what @mathmate was saying. When you do regression you're going to get the function you used to build the data

  14. anonymous
    • one year ago
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    When you calculate volume, you're using \[V=x(12-2x)(12-2x)\] That's exactly what you'll get when you do regression

  15. anonymous
    • one year ago
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    ***12 - 2x***

  16. anonymous
    • one year ago
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    so should I tell you the height of all of my cubes? Maybe that will also help me understand this better.

  17. anonymous
    • one year ago
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    ok. If you use the spreadsheet to do regression, make sure you're using the right degree on the polynomial. It's cubic so it should be degree 3

  18. anonymous
    • one year ago
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    The heights are 1, 2, 3, 4, and 5, right?

  19. anonymous
    • one year ago
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    yep

  20. anonymous
    • one year ago
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  21. anonymous
    • one year ago
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    thats what YOUR equation looks like sorry thats what I meant

  22. anonymous
    • one year ago
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    mine looks like y= 4x^3 - 48x^2 + 144x - 1.123E-12

  23. anonymous
    • one year ago
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    So the equation is 4x³ - 48x² + 144x because 1.123E-12 is very close to 0 and it can be dropped. The r^2 = 1 means that that equation is an exact fit for the data, which makes sense b/c we used the equation to create the data. In general the closer r^2 is to 1, the better the fit. Also 4x³ - 48x² + 144x is what you get if you multiply out x(12-2x)²

  24. anonymous
    • one year ago
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    plug in 2.5 for x

  25. anonymous
    • one year ago
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    into the equation we just got?

  26. anonymous
    • one year ago
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    yes

  27. anonymous
    • one year ago
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    because x is the change of volumes right?

  28. anonymous
    • one year ago
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    x is the size of the cut y is the volume the rate of change is the change in volume

  29. anonymous
    • one year ago
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    okay got it. so it's 122.5

  30. anonymous
    • one year ago
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    yes

  31. anonymous
    • one year ago
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    not sure if if I round up.

  32. anonymous
    • one year ago
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    I wouldn't.

  33. anonymous
    • one year ago
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    okay.

  34. anonymous
    • one year ago
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    Well thank you again so much. I won't bother you again -ever lol. You're the best x100

  35. anonymous
    • one year ago
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    haha its no bother. you're welcome

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