Question

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

Answer 1

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

SST = ( Y - ) ²  

Grand Mean =   = {25 +35+45+55+ 65 +75+ 85+50+ 54+60+68 +78+82+84} / 14

= 61.5

SST = (25 - 61.5)² + (35 - 61.5)² +  (45 - 61.5)² +  (55 - 61.5)² +  (65 - 61.5)² +  (75 - 61.5)² + (85 - 61.5)² + (50 - 61.5)² + (54 - 61.5)² + (60 - 61.5)² + (68 - 61.5)² + (78 - 61.5)² + (82 - 61.5)² + (84 - 61.5)²

= 4527.5

Nearest whole number : 4528