MLR Help

MLR is a program for simple and multiple linear regression analysis models. Given a set of observed values for a dependent variable, Y, and one or more independent variables X(i), MLR computes the linear least-squares regression equation and accompanying statistics.

Input data organization. Except for the title, which must be on a separate line, your data for MLR may be entered freeform by separating values by one or more spaces or by starting a new line. The following data is must be provided:

  1. k, the number of independent (X) and dependent (Y) variables (maximum: 15)
  2. n, the number of observations of the k variables (maximum: 300).
  3. A list of k names for the variables, each up to 8 characters long,
    separated by blanks with the dependent variable is listed LAST.
  4. n sets of observations for the k variables separated by blanks.
      The form is:
        X(1,1) X(1,2) ...X(1,k-1) Y(1)
        X(2,1) X(2,2) ...X(2,k-1) Y(2)
        ...
        X(n,1) X(n,2) ... X(n,k-1) Y(n)
  5. Any additional observations to be forecast with the regression
    equation computed from the preceding data.

Example data set. This may be cut and pasted into the input form.

3 10
INCOME$ FAMSIZE SPENT$
8 6 22
10 7 23
7 5 18
2 2 9
4 3 14
6 4 20
7 4 21
6 3 18
4 3 16
6 3 19

Example data set 2: Longley certification dataset

7 16
x1   x2   x3   x4   x5   x6   y
83   234289 2356  1590  107608 1947  60323
88.5  259426 2325  1456  108632 1948  61122
88.2  258054 3682  1616  109773 1949  60171
89.5  284599 3351  1650  110929 1950  61187
116.9  554894 4007  2827  130081 1962  70551
96.2  328975 2099  3099  112075 1951  63221
98.1  346999 1932  3594  113270 1952  63639
99   365385 1870  3547  115094 1953  64989
100   363112 3578  3350  116219 1954  63761
101.2  397469 2904  3048  117388 1955  66019
104.6  419180 2822  2857  118734 1956  67857
108.4  442769 2936  2798  120445 1957  68169
110.8  444546 4681  2637  121950 1958  66513
112.6  482704 3813  2552  123366 1959  68655
114.2  502601 3931  2514  125368 1960  69564
115.7  518173 4806  2572  127852 1961  69331

Other data sets:

[Semiconductor]
[Engineer Demand]
[Navy Manpower]
[Steam Plant]

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