Scatter Plots & Regression Analysis
Scatter plots can visualize the relationship in the special case of one independent variable X and one dependent variable Y. Scatter plots can suggest a specific type of relationship between the X and Y variables that regression analysis can later explore.
• Panel A, positive straight-line or linear relationship between X and Y. As the value of the X variable increases, the value of the Y variable increases.
• Panel B, negative straight-line or linear relationship between X and Y.
• Panel C, a positive curvilinear relationship between X and Y. The values of Y are increasing as X increases, but this increase tapers off beyond certain values of X.
• Panel D, a U-shaped relationship between X and Y. As X increases, at first Y decreases. However, as X continues to increase, Y not only stops decreasing but actually increases above its minimum value.
• Panel E, an exponential relationship between X and Y. In this case, Y decreases very rapidly as X first increases, but then decreases much less rapidly as X increases further.
• Panel F, little or no pattern to the relationship between X and Y. The same or similar values of Y are associated with each value of X. An X value in this data set cannot be used to predict a Y value.












