Use the exponential regression equation that best fits the data
(10,4), (12,20), (12,20), (13,35), and (16,300), to estimate the value of y when x = 14.


A. 48.4

B. 64.9

C. 132.3

D. 223.7

Respuesta :

Answer:

y=105.888

Step-by-step explanation:

Please find the attachment.

We have been given the points of an exponential regression equation and we are asked to estimate the value of y when x equals 14.

Upon using quadratic regression on excel we get the equation of the function as: [tex]y = 11.933x^{2}-261.57x+1429[/tex]

Now we will find the value of y at x = 14.

[tex]y = 11.933(14)^{2}-261.57(14)+1429[/tex]

[tex]y = 11.933(196)-3661.98+1429[/tex]

[tex]y = 2338.868-3661.98+1429[/tex]  

[tex]y=105.888[/tex]  

Therefore, the value of y will be 105.888 when x equals 14.                  



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