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Math Help - Power/Exponential Function - Weight of Chicken Embryo Over Time

  1. #1
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    Power/Exponential Function - Weight of Chicken Embryo Over Time

    Directly from my math log.

    • A power function has the form y=ax^b where a and b are constants.
    • You can use an exponential function to model a set of data pairs (x,y) if there is a linear relationship between x and \log y.
    • You can use a power function to model a set of data pairs (x,y) if there is a linear relationship between \log x and \log y.
    The table shows how the weight of a chicken embryo inside and egg changes over time.

    1. Make a scatter plot, on your own graph paper, of the data pairs (\log d, \log W). What relationship exists between \log x and \log W?
    2. Find an equation giving W as a function of d.
    3. A chick hatches 21 days after the egg is laid. Estimate the weight of a chick when it hatches.
    All right I know the problem is long but I have done some of the work. I just need you guys to check if I did it right or not.
    1. I graphed the data on graph paper and in my calculator based on (\log d, \log W). It looks like the relationship between the coordinates is a linear relationship. Would that be right answer?
    2. I found the equation by using linear regression on my calculator after I plotted my points of (\log d, \log W). I got W(d) = 4.043x - 3.688 as the equation. But I also plot the graph based on (d,W) and I found the power regression of the data which came out to be W(d) = .00020502(d)^{4.043} and fit the data almost precisely. So which equation should I put as the answer?
    3. For this I got 45.476 g, when d=21 based on the equation W(d) = .00020502(d)^{4.043} and it seems reasonable. But when using W(d) = 4.043x - 3.688, I got 81.212 g.
    Some of the questions asked a kind of vague to me so I don't really understand what it's asking. Help of any kind would be appreciated.

    BTW - The table is attached to the thread.
    Attached Thumbnails Attached Thumbnails Power/Exponential Function - Weight of Chicken Embryo Over Time-sadf.bmp  
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  2. #2
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    Help anyone?
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