[填空题]
Premier Pet-foods Co. has developed a new dry)5bb;y6t9fz 1fs t eu0 dlvj/z food for dogs. They start to m* lcmv- 0jbg-id tl3p7ass produce the food and the amount of inventory in the warehouse is recorded on a monthly basis. The table below shows the data for the amount of inventory (I, in tonnes) for the first ten month*g7pv dt- cjl0ml-i b3s (t).
1.Sketch a scatter plot to represent the given data on the axes below.
2. 1. State a suitable type of function that could model this set of data points.
2. Hence determine the model function for this dataset.$I(t)=at^{2}+b t+c$ a = b = c =
3. Comment on the choice of model using the coefficient of determination.
4. Sketch the model function on the scatter plot and comment on how it fits to the original data.
5 . Using your model, determine after how many months the inventory is at it's maximum.≈ months
6. Using your model, forecast when the the company will run out of inventory.
7. Using your model, determine the amount of inventory after 16 months and comment on if the model is still valid in forecasting inventory levels at this time.