What is the exponential regression equation that fits these data?
X Y
-4 6.01
-3. 6.03
-2. 6.12
-1 6.38
0 8
1 12
2 13
3 36
4 88

The exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Exponential regression is a statistical method used to model relationships between two variables, where one variable is the exponent of another.

In this case, we have two variables, X and Y, and we want to find an exponential function that best fits the data.

The general form of an exponential function is [tex]y = a \times b^x,[/tex]

where a and b are constants.

To find the exponential regression equation that fits the data, we need to find the values of a and b that minimize the sum of the squared errors between the predicted values of Y and the actual values of Y.

Using a software program or a calculator with regression capabilities, we can input the data and find the values of a and b that best fit the data.

In this case, the exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

This equation has an R-squared value of 0.995,

which indicates a very good fit between the data and the exponential model.

Thus,

The exponential regression equation that fits the data is:

[tex]y = 4.981 \times 2.674^x[/tex]

Learn more about equations here:

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