The following table shows a tech product's sales during the financial years 20052009. (t is time in years since 2005.) Year t 0 1 2 3 4 iPod Sales S (millions) 22.8 39.4 51.2 54.8 54.7 (a) Find a quadratic regression model for these data. (Round coefficients to three significant digits.) S(t) = Incorrect: Your answer is incorrect. Graph the model together with the data. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Incorrect: Your answer is incorrect. (b) What does the model predict for the product's sales in 2010, to the nearest million? $ 177.8 Incorrect: Your answer is incorrect. million What does the model predict for the product's sales in 2011, to the nearest million? $ 223.2 Incorrect: Your answer is incorrect. million The product's true sales in 2010 and 2011 were $50.4 million and $42.6 million respectively. Comment on your answers. 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. 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. 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. 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. Correct: Your answer is correct.