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andijo76 Group Title

Suppose I.Q scores were obtained from randomly selected couples for 20 such pairs of people the linear correlation coefficient is 0.786 and the equation of the regression line is y^=16.02+0.81x where x represents the I.Q score of the wife also the 20 x values have a mean 98.93 and the 20y values have a mean of 86.5 what is the best predicted I.Q of the husband given that the wife has an I.Q of 107 use a significant level 0.05 The best predicted I.Q of the husband is _ (round to two decimal places as needed)

  • 6 months ago
  • 6 months ago

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  1. andijo76 Group Title
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    • 6 months ago
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  2. sourwing Group Title
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    probably greater the wife's :D

    • 6 months ago
  3. coureges Group Title
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    I get that with 95% confindence the corresponding husbands IQ is (98.049, 98.216)

    • 6 months ago
  4. andijo76 Group Title
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    can i ask how you got that please there is a medal for you

    • 6 months ago
  5. coureges Group Title
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    I'll try, given that the correlation coefficient is the co-variance divided by the product of the independent variances, and that the independent variances are crucial for the 2 sample T interval that I'm aiming to find. Using the information from the regression line, I find the independent variances, then I have variances and means and should easily be able to find the interval. Given the strong correlation coefficient and the apparent difference in means, I can see that the interval should be in the upper nineties, this is only important as a check of results.

    • 6 months ago
  6. StClowers Group Title
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    how do you enter this into the Ti84 calc??

    • 6 months ago
  7. coureges Group Title
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    for a classic two sample t interval try, "stat" then left twice for "tests" the interval tests are below the hypothesis tests.

    • 6 months ago
  8. StClowers Group Title
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    can you type that using the numbers....Im lost...sorry.

    • 6 months ago
  9. coureges Group Title
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    there are no numbers, first the "stat" key which is located to the immediate right of the variable key. then press right twice (or left once on mine) for the test menu. The two sample T interval "2-SampTint" is the tenth result. By the way, I use a 83+ should be the same though.

    • 6 months ago
  10. StClowers Group Title
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    yea they are the same pretty much....so i got to that point, now what do i put for say x1, Sx1, n1, x2, Sx2, n2

    • 6 months ago
  11. StClowers Group Title
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    and then it asks if its pooled? What the heck does that mean lol

    • 6 months ago
  12. coureges Group Title
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    its refering to the pooling of variances, 2sampTint works by combining x-y and (dev(x)+dev(y))/n+m-2 when its pooled, its a much more difficult process when not pooled; for the sake of simplicity pool, besides when working with a small sample like 40 its best we don't have much accuracy of information which means pooling is not going to effect the result.

    • 6 months ago
  13. andijo76 Group Title
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    this is what i got y=16.02+81x y=16.02(107) y=16.02+86.67 y=102.69 =102.69 rounded would be 102.70

    • 6 months ago
  14. StClowers Group Title
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    @coureges I am not sure what numbers to plug in though.....I have the same question since @andijo76 and I are in the same class...

    • 6 months ago
  15. coureges Group Title
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    That's correct algebraically, um... it appears that interval testing is unnecessary. I am using a calculus based method. To obtain a confidence interval using algebra simply multiply that 102.7 by .05 and add/ subtract it from 102.7. That yields (97.565, 107.835); of course if you don't need the confidence interval than you should probably go with 102.7.

    • 6 months ago
  16. andijo76 Group Title
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    so i am correct?

    • 6 months ago
  17. coureges Group Title
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    Yes, Sorry for dragging you into calculus.

    • 6 months ago
  18. andijo76 Group Title
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    no that is okay I am just happy i got it right lol

    • 6 months ago
  19. andijo76 Group Title
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    thats the way you do it

    • 6 months ago
  20. StClowers Group Title
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    now to fig out which numbers go where in the calc

    • 6 months ago
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