# Manuals/calci/SLOPE

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**SLOPE (KnownYArray,KnownXArray)**

- is the set of dependent values.
- is the set of independent values.
- SLOPE(), returns the slope of the linear regression line.

## Description

- This function gives the slope of the linear regression line through a set of given points.
- The slope of a regression line (b) represents the rate of change in as ,math> x </math> changes.
- To find a slope we can use the least squares method.
- Slope is found by calculating b as the co-variance of and , divided by the sum of squares (variance) of .
- In , is the array of the numeric dependent values and is the array of the independent values.
- The arguments can be be either numbers or names, array, constants or references that contain numbers.
- Suppose the array contains text, logical values or empty cells, like that values are not considered.
- The equation for the slope of the regression line is

where and are the sample mean x and y.

- This function will return the result as error when

1. Any one of the argument is non-numeric. 2. and are empty or that have a different number of data points.

## Examples

1.

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

1 | 4 | 9 | 2 | 6 | 7 |

2 | 1 | 5 | 10 | 3 | 4 |

=SLOPE(A1:E1,A2:E2) = -0.305309734513

2.

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

1 | 2 | 9 | 3 | 8 | 10 | 17 |

2 | 4 | 5 | 11 | 7 | 15 | 12 |

=SLOPE(A1:F1,A2:F2) = 0.58510638297

3.

A | B | C | |
---|---|---|---|

1 | 0 | 9 | 4 |

2 | -1 | 5 | 7 |

=SLOPE(C1:C3) = 0.730769230769

## Related Videos

## See Also

## References