WorksheetFunction.Intercept(Object, Object) Method
Definition
Important
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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.
public:
double Intercept(System::Object ^ Arg1, System::Object ^ Arg2);public double Intercept (object Arg1, object Arg2);Public Function Intercept (Arg1 As Object, Arg2 As Object) As DoubleParameters
- Arg1
- Object
Known_y's - the dependent set of observations or data.
- Arg2
- Object
Known_x's - the independent set of observations or data.
Returns
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:
Figure 1: Equation for the intercept of the regression line
where the slope, b, is calculated as:
Figure 2: Equation for the slope
and where x and y are the sample means AVERAGE(known_x's) and AVERAGE(known_y's).
The underlying algorithm used in the Intercept and Slope(Object, Object) functions is different than the underlying algorithm used in the LinEst(Object, Object, Object, Object) function. The difference between these algorithms can lead to different results when data is undetermined and collinear. For example, if the data points of the known_y's argument are 0 and the data points of the known_x's argument are 1:
- Intercept and Slope(Object, Object) return a #DIV/0! error. The Intercept and Slope(Object, Object) algorithm is designed to look for one and only one answer, and in this case there can be more than one answer.
- LinEst(Object, Object, Object, Object) returns a value of 0. The LinEst(Object, Object, Object, Object) algorithm is designed to return reasonable results for collinear data, and in this case at least one answer can be found.