Use the exponential regression equation that best fits the data ( 10 , 4 ) , ( 12 , 20 ) , ( 13 , 35 ) , and ( 16 , 300 ) to estimate y when x = 15.

Using the exponential regression calculator, the exponential model created by the data is and the estimated y value at x = 15 is 149.944

Given the data:

Using technology, the exponential model obtained using the data is :

Using the model, the predicted value of y at x = 15 :

Therefore, the estimated y value is 149.944

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The exponential regression equation in general has form

The attached graph shows the exponential curve that best fits given data. From the graph it is seen that

then the exponential function is

When x=15,

147

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.