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StClowers

  • 10 months ago

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

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  1. mathmale
    • 10 months ago
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    Have you found a regression equation before? Do you happen to have a TI-84 calculator available to you?

  2. StClowers
    • 10 months ago
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    i do have one

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

  4. StClowers
    • 10 months ago
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    i am a rookie at it so i have not

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

  6. StClowers
    • 10 months ago
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    yes

  7. mathmale
    • 10 months ago
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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?

  8. StClowers
    • 10 months ago
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    im there

  9. StClowers
    • 10 months ago
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    there are numbers under L2

  10. mathmale
    • 10 months ago
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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.

  11. StClowers
    • 10 months ago
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    ok cleared

  12. mathmale
    • 10 months ago
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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.

  13. StClowers
    • 10 months ago
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    done

  14. mathmale
    • 10 months ago
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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?

  15. StClowers
    • 10 months ago
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    yes

  16. mathmale
    • 10 months ago
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    Please move the cursor to cover MATH OR CALC.

  17. StClowers
    • 10 months ago
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    ok done

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

  19. StClowers
    • 10 months ago
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    ok done

  20. mathmale
    • 10 months ago
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    Does it display a value for a and a value for b?

  21. StClowers
    • 10 months ago
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    yes it does

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

  23. mathmale
    • 10 months ago
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    what is a? what is b?

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

  25. mathmale
    • 10 months ago
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    have you pressed ENTER yet?

  26. StClowers
    • 10 months ago
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    yes

  27. mathmale
    • 10 months ago
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    Has the calc. responded with ifnormation / information?

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

  29. StClowers
    • 10 months ago
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    ab not as

  30. mathmale
    • 10 months ago
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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.

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

  32. mathmale
    • 10 months ago
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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

  33. mathmale
    • 10 months ago
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    Cool!

  34. mathmale
    • 10 months ago
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    Now write down on paper that same regression equation.

  35. StClowers
    • 10 months ago
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    thats exciting! lol

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

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

  38. mathmale
    • 10 months ago
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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.

  39. StClowers
    • 10 months ago
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    84

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

  41. StClowers
    • 10 months ago
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    ok got it

  42. mathmale
    • 10 months ago
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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.

  43. StClowers
    • 10 months ago
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    it says 68.551

  44. StClowers
    • 10 months ago
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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!!

  45. mathmale
    • 10 months ago
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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!

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

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

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

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

  50. StClowers
    • 10 months ago
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    lol bye

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