# All statistics and graphs for Box-Cox Transformation

Find definitions and interpretation guidance for every statistic and graph that is provided with the Box-Cox transformation.

## Plotted points

The plot shows estimated standard deviations for the standardized transformed values, Zi. For more information, go to Methods and formulas.

### Interpretation

The x-axis of the plot represents the λ values, and the y-axis represents the estimated standard deviations for the standardized transformed values, Zi.

## Lower CL and upper CL

The lower CL is the lower confidence limit for the 95% confidence interval for λ. The upper CL is the upper confidence limit for the interval. Both confidence limits are displayed on the plot as dotted vertical lines. The value for each limit is given in the table.

## Limit

The dashed horizontal line that is labeled Limit shows the estimated standard deviations for the standardized transformed values, Zi, that results from using the value of λ that is equal to the lower CL or the upper CL. All λ values that fall within the confidence interval result in standard deviations that fall below the limit line.

## Estimate

Minitab estimates the optimal value for λ. The optimal value is the value that minimizes the estimated standard deviation of the standardized transformed values, Zi. For more information, go to Methods and formulas.

## Rounded value

If an appropriate rounded value for λ falls within the confidence interval, then you can use the rounded value instead of the optimal value. The rounded λ values correspond to understandable transformations, such as the square root (λ = 0.5) or the natural log (λ = 0).