Question

In: Statistics and Probability

The price of a molasses crop is determined by percent of sugar in the molasses. An...

The price of a molasses crop is determined by percent of sugar in the molasses. An independent laboratory assays each crop for its sugar content and a price is agreed upon based on the results. An analyst is interested in investigating this relationship. The following data are known:

            Price (cents/pound) 25 35 45 55 65 75 85
            Percent sugar              50 54 60 68 78 82 84

Based on the above data and the mean of the dependent variable y, the Total Sum of Squares (SST) may be calculated. The value of SST, to the nearest whole number, is

Solutions

Expert Solution

Total Sum of Squares (TSS) is given by:

yi             yi -                (yi - )2

50            - 18                   324

54              - 14                 196

60               - 8                   64

68               0                      0

78                10                  100

82                 14                 196

84                 16                 256

---------------------------------------------

Total                               = 1136.

So,

The value of SST is:

1136.


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