# Difference between revisions of "Manuals/calci/INTERCEPT"

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− | <div style="font-size:30px">'''INTERCEPT( | + | <div style="font-size:30px">'''INTERCEPT (KnownYArray,KnownXArray)'''</div><br/> |

− | *<math> | + | *<math>KnownYArray</math> is the set of dependent data |

− | *<math> | + | *<math>KnownXArray</math> is the set of independent data. |

==Description== | ==Description== | ||

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*The slope is calculated by:<math> b=\frac{\sum_{i=1}^{n} {(x_{i}-\bar{x})(y_{i}-\bar{y})}} {\sum_{i=1}^{n}{(x_{i}-\bar{x})}^2}</math>. | *The slope is calculated by:<math> b=\frac{\sum_{i=1}^{n} {(x_{i}-\bar{x})(y_{i}-\bar{y})}} {\sum_{i=1}^{n}{(x_{i}-\bar{x})}^2}</math>. | ||

*In this formula<math> \bar{x}</math> and<math> \bar{y}</math> are the sample means AVERAGE of <math> x</math> and <math> y </math>. | *In this formula<math> \bar{x}</math> and<math> \bar{y}</math> are the sample means AVERAGE of <math> x</math> and <math> y </math>. | ||

− | *In <math>INTERCEPT( | + | *In <math>INTERCEPT (KnownYArray,KnownXArray)</math>, the arguments can be numbers, names, arrays, or references that contain numbers. |

* The arrays values are disregarded when it is contains text, logical values or empty cells. | * The arrays values are disregarded when it is contains text, logical values or empty cells. | ||

*This function will return the result as error when any one of the argument is non-numeric or <math>x</math> and <math>y</math> is having different number of data points and there is no data. | *This function will return the result as error when any one of the argument is non-numeric or <math>x</math> and <math>y</math> is having different number of data points and there is no data. | ||

==ZOS== | ==ZOS== | ||

− | *The syntax is to calculate intercept of the regression line in ZOS is <math>INTERCEPT( | + | *The syntax is to calculate intercept of the regression line in ZOS is <math>INTERCEPT (KnownYArray,KnownXArray)</math>. |

− | **<math> | + | **<math>KnownYArray</math> is the set of dependent data |

− | **<math> | + | **<math>KnownXArray</math> is the set of independent data. |

*For e.g.,intercept([14,16,19,15.25],[20.1,26,10,26.4]) | *For e.g.,intercept([14,16,19,15.25],[20.1,26,10,26.4]) | ||

{{#ev:youtube|ltc2nl-pwpk|280|center|Intercept}} | {{#ev:youtube|ltc2nl-pwpk|280|center|Intercept}} |

## Revision as of 17:02, 1 August 2018

**INTERCEPT (KnownYArray,KnownXArray)**

- is the set of dependent data
- is the set of independent data.

## Description

- This function is calculating the point where the line is intersecting y-axis using dependent and independent variables.
- Using this function we can find the value of when is zero.
- The intercept point is finding using simple linear regression.
- It is fits a straight line through the set of points in such a way that makes vertical distances between the points of the data set and the fitted line as small as possible.
- Regression methods nearly to the simple ordinary least squares also exist.
- i.e.,The Least Squares method relies on taking partial derivatives with respect to the slope and intercept which provides a solvable pair of equations called normal equations.
- Suppose there are data points , where
- To find the equation of the regression line:.
- This equation will give a "best" fit for the data points.
- The "best" means least-squares method. Here b is the slope.
- The slope is calculated by:.
- In this formula and are the sample means AVERAGE of and .
- In , the arguments can be numbers, names, arrays, or references that contain numbers.
- The arrays values are disregarded when it is contains text, logical values or empty cells.
- This function will return the result as error when any one of the argument is non-numeric or and is having different number of data points and there is no data.

## ZOS

- The syntax is to calculate intercept of the regression line in ZOS is .
- is the set of dependent data
- is the set of independent data.

- For e.g.,intercept([14,16,19,15.25],[20.1,26,10,26.4])

## Examples

A | B | C | D | E | |
---|---|---|---|---|---|

1 | 4 | 5 | 2 | 10 | |

2 | 12 | 20 | 15 | 11 | |

3 | 25 | -12 | -9 | 30 | 18 |

4 | 10 | 15 | -40 | 52 | 36 |

- =INTERCEPT(A1:D1,A2:D2)= 10.13265306
- =INTERCEPT(A3:E3,A4:E4)= 4.754939085

## Related Videos

## See Also

## References