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# Regression Analysis

Produces the regression analysis of a data set

བརྡ་བཀོད་འདི་འཛུལ་སྤྱོད་འབད་ནི་ལུ...

Choose Data - Statistics - Regression

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

### གནད་སྡུད།

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.

#### Example

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 | ཐིག་གི | Logarithmic | ནུས་ཤུགས།
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

འབྲེལ་བ་ཡོད་པའི་གནད་དོན།

Sampling

Descriptive Statistics

Analysis of Variance (ANOVA)

Correlation

Covariance

Exponential Smoothing

Moving Average

Regression Analysis

Paired t-test

F-test

Z-test

Chi-square test

Fourier Analysis