# How to Do Interpolation with GROWTH & TREND Functions in Excel

In this tutorial, we will explain how to do interpolation in excel with GROWTH & TREND functions. In mathematics, interpolation is a statistical strategy for estimating an unknown value using related known variables. Microsoft Excel does not provide any direct function for interpolation. So, we use different functions to calculate a new value from known X and Y Values.

## 2 Methods to Do Interpolation with GROWTH & TREND Functions in Excel

In this tutorial, we’ll apply the GROWTH & TREND functions to interpolate a new value from a dataset. Apart from this, we’ll go over another method that uses a trendline to interpolate a new value.

### 1. Do Interpolation in Excel with GROWTH Function

First and foremost, we will interpolate a new value from the following dataset using the GROWTH function. The following dataset consists of values of different temperatures with corresponding densities. Using these data we want to estimate the density at a temperature of 35° celsius. Let’s see the steps to perform this action:

STEPS:

• To begin with, select cell F7.
• In addition, insert the following formula in that cell:
`=GROWTH(C5:C10,B5:B10,E7,1)`
• Then, press Enter.
• Lastly, in cell F7 we get the value of density for the temperature of 35° celsius. We can see that the value of the density in cell F7 is 06 kg/m³. ### 2. Interpolation with TEND Function in Excel

In the second method, we will use the TREND function to do interpolation in excel. To illustrate this method we will use the same dataset that we used in the previous method. Also, we will interpolate data to get the value of density for 35° celsius. Just follow the below steps to execute this method.

STEPS:

• First, select cell F7.
• Next, type the following formula in that cell:
`=TREND(C5:C10,B5:B10,E7,1)`
• After that, hit Enter.
• Finally, we can see the value of density for 35° celsius temperature in cell F7. The estimated value of density is 11 kg/m³. NOTE:

If we notice we will see that the values that we get using the GROWTH function and TREND function are different. We get the value of density of 831.06 kg/m³ when we use the GROWTH function and 831.11 kg/m³ when we use the TREND function. In terms of interpolation, the value that we get using the GROWTH function is more accurate than that we get using the TREND function.

## 3. Use Trendline in Excel to Do Nonlinear Interpolation

In this method, we will use neither the GROWTH function nor the TREND function to do interpolation in excel. Rather we will use a trendline to interpolate new values. While we are working with nonlinear data we need to figure out the function’s behavior first. With the help of a trend line, we will develop an equation that matches our data. Then, using that equation we will interpolate a new value.

To make you understand better we will again interpolate the value of density for 35° celsius temperature. Let’s take a look at the steps to perform this method.

STEPS:

• Firstly, select the data range (B5:C10).
• Secondly, go to the Insert From the Charts section under the Insert tab and select the first scattered graph. • So, we will get a graph like the following image. • Thirdly, click on the graph.
• Then, go to Add Chart Element > Trendline > Linear. • The above action will return a trendline in the graph.
• Next, double-click on the trend line. • Now, we can see a new sidebar named ‘Format Trendline’.
• Furthermore, scroll down and check the option ‘Display Equation on chart’. • The above action shows the equation on the graph that matches best with the pattern of our data. • After that, insert the equation in cell F7. Instead of x in the equation using the cell value of E7.
`=-0.562*E7 + 850.78` • Press Enter.
• In the end, we get the value of density at 35° celsius temperature in cell F7. ## Conclusion

In conclusion, this tutorial shows how to do interpolation in excel using the GROWTH and TREND functions. Use the practice worksheet that comes with this article to put your skills to the test. If you have any questions, please leave a comment below. Our team will make every effort to react to you as quickly as possible. Keep an eye out for more inventive Microsoft Excel solutions in the future.

## Related Article #### Mukesh Dipto

Hi there! I am Mukesh Dipto. I graduated with a bachelor's degree in engineering. Currently, I am working as a technical content writer in ExcelDemy. You will find all my articles on Microsoft Excel on this site. Outside of the workplace, my hobbies and interests include sports and meeting new people. I also enjoy sports. My favorite sports are football (to watch and play) and Badminton (play).

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