# Regression Analysis

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## Contents

## Regression Analysis

Produces the regression analysis of a data set

Choose **Data - Statistics - Regression**

For more information on regression analysis, refer to the corresponding Wikipedia article. |

### Dữ liệu

**Input Range**: The reference of the range of the data to analyze.

**Results to**: The reference of the top left cell of the range where the results will be displayed.

### Grouped By

Select whether the input data has **columns** or **rows** layout.

### Output Regression Type

Set the regression type. Three types are available:

**Linear Regression**: find a straight line in the form of`y = a.x + b`

, where`a`

is the slope and`b`

is the intercept that best fits the data.**Logarithmic regression**: find a logarithmic curve in the form of`y = a.ln(x) + b`

, where`a`

is the slope,`b`

is the intercept and`ln(x)`

is the natural logarithm of`x`

, that best fits the data.**Power regression**: Find a power curve in the form of`y = a.x^b`

, where`a`

is the coefficient,`b`

is the power that best fits the data.

### Ví dụ

The following table has samples of a physical phenomenon taken in 1 second interval.

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

1 | Time | Measurement |

2 | 1 | 2.7 |

3 | 2 | 4.0 |

4 | 3 | 4.4 |

5 | 4 | 7.1 |

6 | 5 | 4.9 |

7 | 6 | 3.6 |

8 | 7 | 4.0 |

9 | 8 | 0.6 |

10 | 9 | 1.0 |

11 | 10 | 4.3 |

The results of the three types of **regression analysis** of the measurements in the table above are shown below.

Regression | |||
---|---|---|---|

Regression Model | Tuyến | Logarithmic | Năng xuất |

R^2 | 0.1243901235 | 0.036283506 | 0.0884254697 |

Standard Error | 1.8692568609 | 1.9610483597 | 0.7746321053 |

Slope | -0.2193939394 | -0.4894112008 | 4.812672931 |

Intercept | 4.8666666667 | 4.3992268695 | -0.3103085297 |

1 | 4.6472727273 | 4.3992268695 | 4.812672931 |

2 | 4.4278787879 | 4.0599928755 | 3.8812728356 |

3 | 4.2084848485 | 3.8615537101 | 3.4224061924 |

4 | 3.9890909091 | 3.7207588815 | 3.1301272785 |

5 | 3.7696969697 | 3.6115499281 | 2.9207204651 |

6 | 3.5503030303 | 3.5223197161 | 2.7600654308 |

7 | 3.3309090909 | 3.4468766468 | 2.6311476385 |

8 | 3.1115151515 | 3.3815248876 | 2.5243514679 |

9 | 2.8921212121 | 3.3238805506 | 2.4337544465 |

10 | 2.6727272727 | 3.2723159341 | 2.3554713075 |

## Related Topics

Sampling, Descriptive Statistics, Analysis of Variance (ANOVA), Correlation, Covariance, Exponential Smoothing, Moving Average, t-test, F-test, Z-test, Chi-square test.