Correlational designs allow researchers to examine relationships between two or more variables by collecting data on all variables at the same point in time. Key aspects of correlational designs include correlating predictor and criterion variables to predict outcomes, displaying scores in scatter plots and matrices to show associations between variables, and using techniques like partial correlations and multiple regression to analyze multiple variables. Conducting high quality correlational research requires adequately sampling participants, selecting appropriate statistical tests, and properly interpreting results to understand the direction, magnitude, and strength of relationships between variables.