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StClowers Group Title

Height (ft) Interval after (min) 96 68 111 80 76 66 91 72 66 58 108 79 116 84 91 79 The data show the time intervals after an eruption (to the next eruption) of a certain geyser. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted tie of the interval after an eruption given that the current eruption has a height of 84 feet. Use a significant level of 0.05. A. What is the regression equation? Ŷ = __ + ___x B. What is the best predicted value? Ŷ ͌ __ minutes

  • 9 months ago
  • 9 months ago

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  1. mathmale Group Title
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    Have you found a regression equation before? Do you happen to have a TI-84 calculator available to you?

    • 9 months ago
  2. StClowers Group Title
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    i do have one

    • 9 months ago
  3. mathmale Group Title
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    Have you used it before to calculate a regresstion line in the form y=ax+b?

    • 9 months ago
  4. StClowers Group Title
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    i am a rookie at it so i have not

    • 9 months ago
  5. mathmale Group Title
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    Have you previously used the STAT key, which brings up a menu, one of the items on which says EDIT?

    • 9 months ago
  6. StClowers Group Title
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    yes

    • 9 months ago
  7. mathmale Group Title
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    If you'd press STAT and then EDIT, your calc will display a couple of columns. would you try that, please? are there numbers in the columns, or are they empty?

    • 9 months ago
  8. StClowers Group Title
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    im there

    • 9 months ago
  9. StClowers Group Title
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    there are numbers under L2

    • 9 months ago
  10. mathmale Group Title
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    If you know how to clear out the numbers in column L2, please do it. Otherwise we may be able to find the regression line without clearing L2.

    • 9 months ago
  11. StClowers Group Title
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    ok cleared

    • 9 months ago
  12. mathmale Group Title
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    Here's your data: 96 68 111 80 76 66 91 72 66 58 108 79 116 84 91 79 copy everything from the 1st col. into L1; copy everything from the 2nd col. into L2. Any questions about this, please ask.

    • 9 months ago
  13. StClowers Group Title
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    done

    • 9 months ago
  14. mathmale Group Title
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    Now press STAT again. You should see a menu; the middle item at the very top should say MATH or CALC. Does it?

    • 9 months ago
  15. StClowers Group Title
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    yes

    • 9 months ago
  16. mathmale Group Title
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    Please move the cursor to cover MATH OR CALC.

    • 9 months ago
  17. StClowers Group Title
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    ok done

    • 9 months ago
  18. mathmale Group Title
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    tHEN press the character " 4 ". Your calculator will exevcute option #4, whivch is "linear regressin Line" or something like that.

    • 9 months ago
  19. StClowers Group Title
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    ok done

    • 9 months ago
  20. mathmale Group Title
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    Does it display a value for a and a value for b?

    • 9 months ago
  21. StClowers Group Title
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    yes it does

    • 9 months ago
  22. mathmale Group Title
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    cool. You're right up there with the best.

    • 9 months ago
  23. mathmale Group Title
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    what is a? what is b?

    • 9 months ago
  24. StClowers Group Title
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    well i hit enter and it went to LinReg(ax+b) and thats it

    • 9 months ago
  25. mathmale Group Title
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    have you pressed ENTER yet?

    • 9 months ago
  26. StClowers Group Title
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    yes

    • 9 months ago
  27. mathmale Group Title
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    Has the calc. responded with ifnormation / information?

    • 9 months ago
  28. StClowers Group Title
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    oh yes it has...i had to hit enter again...it says: y=as+b a= .4601084431 b= 29.82726569

    • 9 months ago
  29. StClowers Group Title
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    ab not as

    • 9 months ago
  30. mathmale Group Title
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    What we're hoping for is a screen that gives you... cool. Now write this equation: y=0.461x + 29.827. That is your regression equation.

    • 9 months ago
  31. StClowers Group Title
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    yay! That was it, now its asking me the next question

    • 9 months ago
  32. mathmale Group Title
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    This problem asks for the regression equation in slightly different format. It asks that you present b first, and then a. So, to asnwer this quaetion, type in 29.827 for the first blank and 0.461 in the 2nd blank. How

    • 9 months ago
  33. mathmale Group Title
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    Cool!

    • 9 months ago
  34. mathmale Group Title
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    Now write down on paper that same regression equation.

    • 9 months ago
  35. StClowers Group Title
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    thats exciting! lol

    • 9 months ago
  36. mathmale Group Title
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    type here what the 2nd question asks you for.

    • 9 months ago
  37. StClowers Group Title
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    ok. What is the best predicted value? Ŷ ͌ __ minutes

    • 9 months ago
  38. mathmale Group Title
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    Thisis very important: You're going to use the regression equation to PREDICT what the value of y (actually, of "y hat") is when x = 84, was it? Go back to the original question and ascertain the x value.

    • 9 months ago
  39. StClowers Group Title
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    84

    • 9 months ago
  40. mathmale Group Title
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    On paper, write the regression equation, subbing 84 for x. Calculate y hat.

    • 9 months ago
  41. StClowers Group Title
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    ok got it

    • 9 months ago
  42. mathmale Group Title
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    You're done! My regret is that we don't have time to review this whole problem so that every quantity and concept is clear to you. Hope you'll review our conversation and take notes on it so that you'll be able to do problems like this on your own.

    • 9 months ago
  43. StClowers Group Title
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    it says 68.551

    • 9 months ago
  44. StClowers Group Title
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    wow! Thank you so much. I have the others posted but we can do those tomorrow. I REALLY appreciate your help!!

    • 9 months ago
  45. mathmale Group Title
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    As much as I'd like to continue, it's past my bedtime! Don't know when I'll be available tomorrow, but I do expect to be on then and now. I'm so glad you've gotten this one problem behind you and are feeling better. You're most welcome!

    • 9 months ago
  46. StClowers Group Title
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    but one more thing: It ask me to round one decimal place so that would be 69, correct?

    • 9 months ago
  47. mathmale Group Title
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    No, that'd be 68.6. That's to 1 decimal place accuracy.

    • 9 months ago
  48. StClowers Group Title
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    oh gotcha, ok thanks you again! Gnight!! This really helps. I feel better

    • 9 months ago
  49. mathmale Group Title
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    Again, I'm so glad! Good night. Bye for now! Over and out.

    • 9 months ago
  50. StClowers Group Title
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    lol bye

    • 9 months ago
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