It indicates the proportion of the variance in the Y variable that can be explained by the X variable. R-squared measures the goodness-of-fit of the regression model. For instance, an intercept of 2 means that when X is zero, the predicted value of Y will be 2. It determines the starting point of the regression line on the Y-axis. The intercept represents the predicted value of Y when X is zero. For instance, a slope of 0.75 means that for every unit increase in X, the predicted value of Y increases by 0.75. A positive slope suggests a positive relationship between X and Y, while a negative slope implies an inverse relationship. The slope indicates the rate of change in the Y variable per unit change in the X variable. For example, if the equation is ŷ = 0.5X + 1, it means that for every unit increase in X, the predicted value of Y will increase by 0.5. The coefficient 'b' indicates the slope, and 'a' represents the intercept. This equation represents the relationship between the X and Y variables. How to Interpret Linear Regression Calculator Results
Use these instructions to effectively utilize the Linear Regression Calculator for data analysis. Repeat or modify: You can repeat the process by entering new data points or modify the existing ones to explore different scenarios and observe how the regression analysis changes. This visual representation can provide further understanding of the data.ĥ. Visualize the fitted line plot: Below the results, a chart will be generated showing the data points and the fitted line based on the regression analysis. These insights will help you understand the relationship between the X and Y variables.Ĥ. View the results: The calculator will display various results, including the regression equation, slope, intercept, R-squared, correlation coefficient, and more. Click the "Calculate" button: After entering your data points, click the "Calculate" button to perform the linear regression analysis.ģ. Enter your data points: In the input fields labeled "X values" and "Y values," enter your data points separated by commas or spaces. Please see the TI-83 Plus Family guidebooks for additional information.1. Press to calculate the y-hat values which will be displayed in 元. The regression equation will also be stored toY1.Ģ) Scroll over to 元, scroll up to highlight 元 and press to input a formula for the 元 list.Ĥ) Press to input (L1). To calculate y-hat values for a data set follow the example below:ġ) Press to access the STAT list editor.Ģ) Input the data in the L1 and L2 lists, making sure to press after each entry.ģ) Press to QUIT and return to the home screen.Ĭalculating and storing the regression equation:ġ) Press, arrow right to highlight CALC and press to select the LinReg(ax+b) function.Ģ) Press to input L1,L2,ģ) Press, arrow right to highlight Y-VARS and press to select the Y1 function.Ĥ) Press and the linear regression data will be displayed.
This corresponding y-value is denoted y-hat. Y-hat values are calculated by substituting the x-values from the data set into the regression equation. How do I calculate y-hat values on the TI-83 Plus family of graphing calculators?Īfter finding the regression equation for a data set, it is helpful to know what y-value the regression equation would predict for any x-value from the data set. Solution 11720: Calculating Y-Hat Values on the TI-83 Plus Family of Graphing Calculators.