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Math Help - Finding the equation of a line and predicting some points.

  1. #1
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    Finding the equation of a line and predicting some points.

    Basically i have a set of data and i need too find the equation of the curve, or some other way of estimating the missing values, the data set is as follows.
    Spoiler:

    1951 1.365
    1952 1.312
    1953 1.285
    1954 1.276
    1955 1.182
    1956 1.101
    1957 0.915
    1958 0.755
    1959 0.581
    1960 0.501
    1961 0.449
    1962 0.395
    1963 0.357
    1964 0.343
    1965 0.327
    1966 0.289
    1967 0.265
    1968 0.237
    1969 0.215
    1970 0.193
    1971 0.176
    1972 0.157
    1973 0.134
    1974 0.138
    1975 0.116
    1976 0.104
    1977 0.103
    1978 0.126
    1979 0.112
    1980 0.096
    1981 0.084
    1982 0.06
    1983 0.063
    1984 0.053
    1985 0
    1986 0
    1987 0.067
    1988 0.075
    1989 0.083
    1990 0.079
    1991 0.089
    1992 0.089
    1993 0.099
    1994 0.106
    1995 0.097
    1996 0.119
    1997 0.128
    1998 0.123


    so far, all iv managed too do with it is calculate spearmans rank, which is
    -0.96929 ideally, id like too come up with an equation with a method of working it out, and then go on too predict the missing values, can someone help me out?

    thanks in advance.
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  2. #2
    MHF Contributor
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    1) Why do you believe "the equation of the curve" exists?
    2) I hardly can wait to see what sort of curve you believe it to be. Maybe a rational function of some sort?
    3) What tools are at your disposal?
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  3. #3
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    Perhaps a polynomial? second or third degree?

    i have autograph and edexcell, thats about it.

    All i really need is a rough curve that fits it, and how to mathematically show it, maybe a quadratic would fit it nicely
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Willo142 View Post
    Perhaps a polynomial? second or third degree?

    i have autograph and edexcell, thats about it.

    All i really need is a rough curve that fits it, and how to mathematically show it, maybe a quadratic would fit it nicely
    Have you plotted this data?

    If it is sensible to fit this to an equation we would need to know what sort of process produced this, oterwise all you will get is nonsense.

    CB
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