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(2) The manager of Sarah's Ice cream store needs an accurate forecast of demand for ice cream. The store orders ice cream from a distributor a week ahead, and if too little is ordered the store loses business. If it orders too much, it must be thrown away. The manager believes that a major determinant of ice cream sales is temperature; that is, the hotter it is, the more ice cream people buy. Using an almanac, the manager determined the average temperature for 10 weeks selected at random and then, from store records, has determined the ice cream consumption for the same 10 weeks. The data are summarized as follows: Week 1 2 3 4 5 6 7 8 9 10 Average Temperature 57 67 83 89 77 80 84 92 89 65 Gallons of Ice Cream Sold 95 90 125 150 85 115 110 145 130 100 (a) Develop a simple linear regression model for this data, with only average temperature as the predictor variable, and use it to forecast the ice-cream consumption if the average weekly temperature is expected to be 86. (b) Determine the linear relationship between average weekly temperature and ice cream consumption using correlation and comment on your result