Use the exponential regression equation that best fits the data (2,7), (3,10), (5,50), and (8,415) to estimate the value of y when x = 6.

A. 20.38

B. 47.32

C. 61.56

D. 99.87

Respuesta :

explanation is attached below

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 By using utility, exponential regression equation for the given data will be y = 1.4761(2.0172)ˣ and the value of 'y' will be 99.87.

Hence, Option (D) will be the correct option.

  Data given in the question,

  • (2, 7), (3, 10), (5, 50), (8, 415)

By using the utility for exponential regression, equation that best its the data will be,

y = 1.4761(2.0172)ˣ

Value of 'y' for x = 6,

y = 1.4761(2.0172)⁶

y = 99.45

From the given options nearest value is 99.87.

        Therefore, Option (D) will be the correct option.

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