Assignment #1 - 84A

                             ASSIGNMENT 1
                           DUE DATE JAN 27 84               (WEIGHT 10)

       WRITE A PROGRAM TO FIND THE  LEAST SQUARES FIT TO A SET OF
    DATA ACCORDING TO THE EXPRESSION GIVEN BELOW.

    Y(1), Y(2), Y(3),  ...  ,  Y(N) ARE  READINGS  THAT  VARY  WITH
    THE VALUES X(1), X(2), X(3), ... , X(N) OF AN INDEPENDENT
    VARIABLE X.

    EACH PAIR OF VALUES, (X AND Y) ARE CONTAINED ON ONE CARD. THE
    DATA SET IS TERMINATED BY A "DUMMY LINE" WITH X AND Y BOTH
    NEGATIVE.

    THE EQUATION OF A STRAIGHT LINE IS
                            Y = AX + B
    AND THE BEST STRAIGHT LINE FOR THE GIVEN DATA IS GIVEN BY

                          N*SXY - SX*SY
                    A  =  -------------
                          N*SX2 - SX*SX

                          SY*SX2 - SX*SXY
                    B  =  ---------------
                           N*SX2 - SX*SX

    N     NUMBER OF (X,Y) PAIRS
    SX    SUM OF X'S
    SY    SUM OF Y'S
    SX2   SUM OF X*X'S
    SXY   SUM OF X*Y'S

    DRAW A ROUGH SKETCH ON YOUR OUTPUT SHOWING THE INPUT DATA AND THE
    LEAST SQUARES FIT LINE. YOUR PROGRAM SHOULD PROCESS TWO SETS OF
    DATA, THE ONE GIVEN BELOW AND A SET OF YOUR OWN.

    SAMPLE DATA:
                 2.8       8.0
                 7.0       1.5
                 3.8       7.2
                 0.2      12.1
                 2.0      10.5
                 4.0       6.0
                 6.1       3.6
                 6.9       3.6
                 7.6       2.2
                 4.1       5.0
                 5.3       5.0
                 4.0       8.5
                -1.0      -1.0