Question

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.

Answer 1

The exponential regression equation in general has form $y=a\cdot b^x.$

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

$a\approx 0.0038,\\ \\b\approx 2.0223,$

then the exponential function is

$y=0.0038\cdot (2.0223)^x.$

When x=15,

$y=0.0038\cdot (2.0223)^{15}\approx 147.$

Answer: 147

Answer 2

Answer:

132.3

Step-by-step explanation:

A=0.003

B=2.04

X=15

Y=ab^x

Y=0.003*(2.04)^15

Y=132.3

(promise this is the right answer, just took the test )