Answer:
[tex]y=2.04 \cdot (2.51)^x[/tex]
Step-by-step explanation:
An exponential regression equation is given by:
[tex]y = ab^x[/tex]
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:
[tex]y = 2.035e^{0.9204x}[/tex]
⇒[tex]y = 2.035 \cdot (e^{0.9204})^x \approx 2.04 \cdot (2.51)^x[/tex]
Therefore, the exponential regression equation to best fit the data to two decimal places is, [tex]y=2.04 \cdot (2.51)^x[/tex]
