In: Statistics and Probability
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
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
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Total = 1136.
So,
The value of SST is:
1136.