# Linear Regression Acceleration Stock Indices Technical Analysis and Stock Indices Signals

Linear Regression Acceleration calculates the change in the regression line's gradient on the current stock index price bar from its gradient from the previous stock index price bar. The value used to calculate the linear regression is referred to as the normalized acceleration value which is drawn for each stock index price bar formed on the stock index price chart.

Linear Regression Acceleration

If the normalized acceleration is 0.30, then the regression line normalized slope will be rising at the rate of 0.30 per stock index price bar.

Similarly, a normalized slope of -0.40 would indicate that the regression line normalized slope is declining at the rate of -0.40 per stock index price bar.

For example, if the current stock index price bar normalized slope value is 0.40 and the previous stock index price bar normalized slope value is 0.20, then the normalized acceleration of the current stock index price bar would be calculated as 0.40 - 0.20 = 0.20.

NB: It is important to realize that a positive acceleration value doesn’t equate to a positive slope value, it simply means the gradient of the slope is increasing. A negative acceleration value doesn’t equate to a negative slope value, it simply means the gradient of the slope is decreasing.

## Implementation of Linear Acceleration Regression

The Linear Regression Acceleration indicator allows for the following; stock index price selection, regression periods, smoothing of raw stock index price before applying the regression and selection of the smoothing type.

The resulting regression slope is displayed as a bi-colored histogram that oscillates above & below 0.

The reference line is set at the 0 level mark.

• A rising slope; (greater than its previous value 1 bar before) is displayed in the up slope color.

• A declining slope; (lower than its previous value 1 bar before) is displayed using the down slope color.