Question

The table shows the wavelength of the sound produced by keys on a piano x keys away from the A above middle C.

Using the exponential regression model, which is the best prediction of the wavelength of the key that is 8 above the A above middle C?

49.3149.4449.7349.78

Answer 1

B) 49.44 is the right answer

Answer 2

The  best prediction of the wavelength of the key that is 8 above the A above middle C is:49.73cm.

Best prediction of the wavelength

First step

Intermediate=Wavelength of 6-Wavelength of 10

Where:

Wavelength of 6=55.44

Wavelength of 10=44.01

Intermediate=55.44-44.01

Intermediate=11.43

Second step

Wavelength best prediction=(11.43/2)+44.01

Wavelength best prediction=5.715+44.01

Wavelength best prediction=49.725

Wavelength best prediction=49.73cm (Approximately)

Therefore the best prediction of the wavelength of the key that is 8 above the A above middle C is:49.73cm.

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