Question

Help me figure out a

Answer 1

Answer:

• a ≈ 615.272
• b ≈ 1.61875

Step-by-step explanation:

My graphing calculator can solve this problem two ways. It can do a least-squares fit of the exponential data, or it can do a least-squares fit of the logarithm of the data. The answers come out different.

In "log mode", the parameters of the exponential equation are computed as ...

  a ≈ 615.272

  b ≈ 1.61875

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With log mode turned off, the "a" parameter is lower (≈553.071), and the "b" parameter is higher (≈1.65573). This mode gives a better fit to the larger data values, at the expense of a poorer fit to the lower data values, as you might expect.