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.