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anonymous

  • 5 years ago

I need help with exponential regression...I have E(x)=164.96(1.03)^x for equation for high school graduates...need to find the first year of the decade in which number of graduates will reach 5 million

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  1. anonymous
    • 5 years ago
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    E a function of x, E is what and x is what? im guessing E is graduates and x is year?

  2. anonymous
    • 5 years ago
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    yes I used cal to get a b and r

  3. anonymous
    • 5 years ago
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    plug 5mill into E(x) and solve for x

  4. anonymous
    • 5 years ago
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    yes got that but do I ln or log...can't remember

  5. anonymous
    • 5 years ago
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    years are in decades and graduates are in 1000s so would I divide 5 mil by 100

  6. anonymous
    • 5 years ago
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    do log base 1.03 there is probably a key on your calculator

  7. anonymous
    • 5 years ago
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    is that ln

  8. anonymous
    • 5 years ago
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    actually im sorry you are right take the natural log of both sides. and the exponent of x will come out as a multiple of ln(1.03) so \[\ln(1.03^x) = xln(1.03)\] ln(1.03) is just a constant so you can divide by it on both sides

  9. anonymous
    • 5 years ago
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    thank you for the confirmation

  10. anonymous
    • 5 years ago
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    yeahp

  11. anonymous
    • 5 years ago
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    one more thing I have year 2050 from the linear function and year 2070 from the exponential...which one seems more reasonable?

  12. anonymous
    • 5 years ago
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    based on the values of correlation factor r the linear function would be but if you're looking at 5 million wouldn't it take less years to get there Exponentially versus linearly

  13. anonymous
    • 5 years ago
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    im not sure from what was given i only know of E(x) and x,

  14. anonymous
    • 5 years ago
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    L(x)=33.79x-135.77

  15. anonymous
    • 5 years ago
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    used 5000 instead of 5 mil bc grads in 1000s is that right?

  16. anonymous
    • 5 years ago
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    yeah

  17. anonymous
    • 5 years ago
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    yeah to which question, lol?

  18. anonymous
    • 5 years ago
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    lol just agreeing with the thing you said about linear versus exponential growth it would have to be 2050. but i would look into that more as to how to get to that answer

  19. anonymous
    • 5 years ago
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    ok thanks!

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