[填空题]
Premier Pet-foods Co. hasu p+ya-)zof 5g develblg ,dn(k9ojnv;8l5 ch)w e(i/e qg(v oped a new dry food for dogs. They start to mass 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 mon) wjg/b9g8i(vd;nkc(vnoe(h e5q ,llths (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.
