The best estimate of the value of the account 12 years after it was opened is; B: $8,980
The exponential regression model can be written as exponential function in the form; y = abˣ
From the attached table, after 0 years, the account value is $5000. Thus;
5000 = a * b⁰
a = $5000
After two years, we have;
5510 = a * b²
5510 = 5000 * b²
b² = 5510/5000
b = √ 5510/5000
b = 1.05
Thus, after 12 years, the account value is;
y = 5000 * 1.05¹²
y = $8980
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