Question

What is the exponential regression equation to best fit the data?Round each value in your equation to two decimal places. Enter answer in the box
x y
0 2
1 5
2 12
3 40
4 76
5 193

Answer 1

2.04(2.51)^x   
if you still need the answer that should be it, i just took the test and it told me that was the answer

Answer 2

Answer:

$y=2.04 \cdot (2.51)^x$

Step-by-step explanation:

An exponential regression equation is given by:

$y = ab^x$

where,

a is the initial amount and b is the growth factor.

As per the statement:

Given the table:

x           y

0          2  

1           5

2          12

3          40

4          76

5           19

Now, enter the values for x into one list and the values for y into the second list.  

Now, graph the scatter plot as shown below in the attachment.

we get the equation of exponent:

$y = 2.035e^{0.9204x}$

⇒$y = 2.035 \cdot (e^{0.9204})^x \approx 2.04 \cdot (2.51)^x$

Therefore, the exponential regression equation to best fit the data to two decimal places is, $y=2.04 \cdot (2.51)^x$