## Simple Linear Regression

Use this calculator to fit a simple linear regression model to the given data.

Simple Linear Regression | ||
---|---|---|

X (Independent Var) | Y (Dependent Var) | |

Enter Data (Separated by comma ,) | ||

Results | ||

Number of pairs of Obs. (n): | ||

Sample Mean: | ||

Sample SD : | ||

Covariance: | ||

Correlation: | ||

Regression Coefficients | ||

Regression equation | ||

## Simple Linear Regression

Another method

```
$$
\begin{aligned}
S_{xx}=\sum_{i=1}^n x_i^2- \frac{(\sum_i x_i)^2}{n}
\end{aligned}
$$
```

```
$$
\begin{aligned}
S_{xy}=\sum_{i=1}^n x_iy_i- \frac{(\sum_i x_i)(\sum_i y_i)}{n}
\end{aligned}
$$
```

```
$$
\begin{aligned}
b=\frac{S_{xy}}{S_{xx}}
\end{aligned}
$$
```

```
$$
\begin{aligned}
a=\overline{y}-b \overline{x}
\end{aligned}
$$
```

## Related Resources

Suggestions and comments will be appreciated.