## Simple Linear Regression From Summarized Data

Use this calculator to fit a simple linear regression model from summarized data.

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

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

No.of pairs | ||

Mean | ||

Variance | ||

Covariance | ||

Results | ||

Correlation between X and Y ($r$) | ||

Intercept ($a$) | ||

Slope ($b$) | ||

Regression equation | ||

## Simple Linear Regression

```
$$
\begin{aligned}
\hat{\beta}_1=r\cdot \frac{s_y}{s_x}
\end{aligned}
$$
```

```
$$
\begin{aligned}
\hat{\beta}_0=\overline{y}-\hat{\beta}_1 \overline{x}
\end{aligned}
$$
```

## Related Resources

Suggestions and comments will be appreciated.