STEYX (standard error of a linear regression)

<< Click to Display Table of Contents >>

STEYX (standard error of a linear regression)

Syntax:

STEYX(y_values, x_values)

Description:

This returns the standard error of a linear regression.

The standard error is a measure of the reliability of a linear regression: the greater the standard error, the more the estimated values deviate from the actual values.

For the arguments y_values and x_values, you usually specify a cell range.

Y_values are the dependent variables.

X_values are the independent variables.

Note:

Note that this function expects the y_values first and then the x_values – not the other way around.

Additional info:

The linear regression is performed with this function using the least squares method.

Example:

The resistance of a temperature-dependent resistor has been measured at several temperatures.

Cells A1:A4 contain the temperatures that were measured (the independent variables): 8, 20, 25, 28

Cells B1:B4 contain the resistances that were measured (the dependent variables): 261, 508, 608, 680

The following calculation returns the standard error predicted by linear regression based on these values:

STEYX(B1:B4, A1:A4) returns 4.97351

See also:

INTERCEPT, SLOPE, FORECAST