[All Steps] Business The table shows the number of personal computers (in thousands) sold in selected years: Let x=0 correspond to 1980 . Use (5,3200) as


Question: Business The table shows the number of personal computers (in thousands) sold in selected years:

  1. Let \(x=0\) correspond to 1980 . Use \((5,3200)\) as the vertex and the data for 2000 to find a quadratic function \(f(x)=a(x-h)^{2}+k\) that models this data.
  2. Let \(x=0\) correspond to 1980 and plot the data points. Use quadratic regression to find a function \(g\) that models this data. Based on the value of \(r^{2}\), how good a model is this?
  3. Use the quadratic model from part (a) or (b) to estimate the number of computers sold in 1992 .
  4. Assuming these models remained accurate, how many computers were sold in $2002 ?$

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