How to interpret slope and intercept in regression
1 Interpreting the Slopeand Y-Intercept You already learned howto solve for the slopeand y-intercept of a regression line using certain formulas. One common issue in learning about the equation of a regression line is when you see the slope as a mere number, but you have no idea what it represents based on a real situation. That would be something related to the slopeand the slope was definitely not 39. The average winning percentage was 39%, we know that wasn't the case either. The model indicates that teams with coaches who had a salary of zero millions dollars will average a winning percentage of approximately 39%. Interpret the slope as the change in output values per unit of the input value. Example 3: Finding the Slope of a Linear Function. If . f (x) f\left(x\right) f (x) is a linear function, and (3, ... Module 22 Interpreting the Calculated Slope and y-Intercept of the Regression Line.pdf. 1. determine the relationship between variables based on the slope; 2. interpret the computed slopeand y-intercept of the regression equation; and. 3. realize the relevance of the y-intercept based on given situations. Before you proceed to the lesson, make sure to answer first the questions in the next page (What I Know). Now we can relate the odds for males and females and the output from the logistic regression. The intercept of -1.471 is the log odds for males since male is the reference group ( female = 0). Using the odds we calculated above for males, we can confirm this: log (.23) = -1.47. Interpreting the slope and intercept. The slope quantifies the steepness of the line. It equals the change in Y for each unit change in X. It is expressed in the units of the Y-axis divided by the units of the X-axis. If the slope is positive, Y increases as X increases. If the slope is negative, Y decreases as X increases. If the X values in the experiment do not cover zero, then the interpretation of the intercept is simply "the point at the Y axis through which the regression line passes". I hope that this is helpful.