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

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

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`