The table lists the number of americans over 100 years old for selected years.

year, x

• 1960, 0
• 1970, 10
• 1980, 20
• 1990,30
• 2000, 40
• Number of Americans over 100 years old

(in thousands)

• 46
• 87
• 140
• 240
• 282

a) use the regression capability of your calculator to fit the data to a quadratic function where x is the number of years since 1960 and y is the number of Americans over 100 years old (in thousands). Round two places if necessary.