The following table shows a tech product's sales during the financial years 2005-2009. (t is time in years since 2005.) Year t 2 3 4 iPod Sales S (millions) 22.4 39.4 51.6 54.8 54.9 (a) Find a...

Extracted text: The following table shows a tech product's sales during the financial years 2005-2009. (t is time in years since 2005.) Year t 2 3 4 iPod Sales S (millions) 22.4 39.4 51.6 54.8 54.9 (a) Find a quadratic regression model for these data. (Round coefficients to three significant digits.) S(t) = Graph the model together with the data. S(t) S(t) S(t) S(t) 60 60 60 60 50 50 50 50 40 40 40 40 30 30 30 30 20 20 20 20 10 10 10 10 t 4 1 2 1 1 3 4 1 4 (b) What does the model predict for the product's sales in 2010, to the nearest million? $ million What does the model predict for the product's sales in 2011, to the nearest million? $ million The product's true sales in 2010 and 2011 were $50.4 million and $42.6 million respectively. Comment on your answers. O The answers we found differ from the actual sales by more than $2 million, so the predictions were reasonably accurate. It is safe to extrapolate the model within two points of the given data. O The answers we found differ from the actual sales by more than $2 million, so the predictions were not reasonably accurate. This shows the danger of extrapolating the model beyond the given data. O The answers we found are within $2 million of the actual sales, so the predictions were reasonably accurate. It is safe to extrapolate the model within two points of the given data. O The answers we found are within $2 million of the actual sales, so the predictions were not reasonably accurate. This shows the danger of extrapolating the model beyond the given data. Need Help? Read It