INTERCEPT

Microsoft Office Excel 2003

See Also

Calculates the point at which a line will intersect the y-axis by using existing x-values and y-values. The intercept point is based on a best-fit regression line plotted through the known x-values and known y-values. Use the INTERCEPT function when you want to determine the value of the dependent variable when the independent variable is 0 (zero). For example, you can use the INTERCEPT function to predict a metal's electrical resistance at 0°C when your data points were taken at room temperature and higher.

Syntax

INTERCEPT(known_y's,known_x's)

Known_y's    is the dependent set of observations or data.

Known_x's    is the independent set of observations or data.

Remarks

  • The arguments should be either numbers or names, arrays, or references that contain numbers.
  • If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.
  • If known_y's and known_x's contain a different number of data points or contain no data points, INTERCEPT returns the #N/A error value.
  • The equation for the intercept of the regression line, a, is:

    Equation

    where the slope, b, is calculated as:

    Equation

    and where x and y are the sample means AVERAGE(known_x's) and AVERAGE(known_y's).

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow?

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic. Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.
  4. In the worksheet, select cell A1, and press CTRL+V.
  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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Formula Description (Result)
=INTERCEPT(A2:A6, B2:B6) Point at which a line will intersect the y-axis by using the x-values and y-values above (0.0483871)