Excel Array Function: GROWTH for Statistical Analysis - dummies

Excel Array Function: GROWTH for Statistical Analysis

By Joseph Schmuller

GROWTH is Excel’s curvilinear regression’s answer to TREND. You can use this function in two ways: to predict a set of y-values for the x-values in your sample or to predict a set of y-values for a new set of x-values.

Predicting y’s for the x’s in your sample

This image shows GROWTH set up to calculate y‘s for the x‘s that are already there. The Formula bar is also included in this screen shot so that you can see what the formula looks like for this use of GROWTH.

GROWTH
The Function Arguments dialog box for GROWTH, along with the sample data. GROWTH is set up to predict x’s for the sample y’s.

Here are the steps:

  1. With the data entered, select a cell range for GROWTH‘s answers.
  2. Select D2:D12 to put the predicted y‘s right next to the sample y‘s.
  3. From the Statistical Functions menu, select GROWTH to open the Function Arguments dialog box for GROWTH.
    In the Function Arguments dialog box, type the appropriate values for the arguments.
    In the Known_y’s box, type the cell range that holds the scores for the y-variable. For this example, that’s y (the name given to C2:C12).
    In the Known_x’s box, type the cell range that holds the scores for the x-variable. For this example, it’s x (the name given to B2:B12).
    You’re not calculating values for new x’s here, so leave the New_x’s box blank.
    In the Const box, the choices are TRUE (or leave it blank) to calculate a, or FALSE to set a to 1. Enter TRUE.
  4. Important: Do not click OK. Because this is an array function, press Ctrl+Shift+Enter to put GROWTH‘s answers into the selected column.
    Check out the answers in D2:D12.
GROWTH:
The results of GROWTH: Predicted y’s for the sample x’s.

Predicting a new set of y’s for a new set of x’s

You can use GROWTH to predict y‘s for a new set of x‘s. The image below shows GROWTH set up for this. In addition to the array named x and the array named y, you can define New_x as the name for B15:B22, the cell range that holds the new set of x’s.

Here, you see the selected array of cells for the results. Once again, the Formula bar is included to show you the formula for this use of the function.

functions arguments dialog
The Function Arguments dialog box for GROWTH, along with data. GROWTH is set up to predict y’s for a new set of x’s.

To do this, follow these steps:

  1. With the data entered, select a cell range for GROWTH‘s answers.
    Select C15:C22.
  2. From the Statistical Functions menu, select GROWTH to open the Function Arguments dialog box for GROWTH.
  3. In the Function Arguments dialog box, type the appropriate values for the arguments.
    In the Known_y’s box, enter the cell range that holds the scores for the y-variable. For this example, that’s y (the name given to C2:C12).
    In the Known_x’s box, enter the cell range that holds the scores for the x-variable. For this example, it’s x (the name given to B2:B12).
    In the New_x’s box, enter the cell range that holds the new scores for the x-variable. That’s New_x (the name given to B15:B22).
    In the Const box, the choices are TRUE (or leave it blank) to calculate a, or FALSE to set a to 1. Type TRUE.
  4. Important: Do not click OK. Because this is an array function, press Ctrl+Shift+ Enter to put GROWTH‘s answers into the selected column.
    You can see the answers in C15:C22.
results of GROWTH:
The results of GROWTH: Predicted y’s for a new set of x’s.