Slope Tendência (XY aprox)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Slope Trend (XY Approx) Calculator is a useful tool for analyzing the relationship between two variables. It uses the formula β = r·(σy/σx) to calculate the slope of the simple regression line.
This calculator is especially useful in time series studies, where it's essential to understand the trend of the simple regression line to predict future behaviors. It's also useful in simple regression analysis to identify the relationship between two variables.
The formula used by the calculator is based on the relationship between the correlation (r) and the standard deviations of the variables (σx and σy). This allows calculating the slope of the simple regression line with precision.
It's essential to note that this calculator assumes that the variables are in symmetrical scales and that the relationship between them is linear. Additionally, it's necessary to be careful with the sample size and the presence of outliers.
Frequently asked questions
What is the slope of the simple regression line?
The slope of the simple regression line is a measure of the relationship between the variables. It is calculated by the formula β = r·(σy/σx) and is expressed in units of dependent variable per unit of independent variable.
When to use this calculator?
This calculator is especially useful in time series studies, simple regression analysis and identifying the relationship between two variables. Additionally, it is useful for predicting future behaviors and identifying trend patterns.
How does the formula used by the calculator work?
The formula used by the calculator is based on the relationship between the correlation (r) and the standard deviations of the variables (σx and σy). This allows calculating the slope of the simple regression line with precision.
What are the precautions I need to take when using this calculator?
It is essential to be careful with the sample size and the presence of outliers. Additionally, it is necessary to keep in mind that this calculator assumes that the variables are in symmetrical scales and that the relationship between them is linear.