Dr. Rancur believes that working memory errors (M) will increase linearly with increases in level of cognitive load (CL). He randomly assigns 10 subjects to each of four cognitive load levels: 1, 3, 5 and 7 and assesses subjects’ memory performance. The results of his study are exhaustively summarized below. Using the summary information, carry out an analysis to determine if M is related to CL in the way Dr. Rancur predicts. Make sure you estimate the magnitude of the association, and construct a confidence interval as appropriate. In a summary sentence or two, evaluate the evidence for or against Dr. Rancur’s prediction.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Dr. Rancur believes that working memory errors (M) will increase linearly with increases in level of cognitive load (CL). He randomly assigns 10 subjects to each of four cognitive load levels: 1, 3, 5 and 7 and assesses subjects’ memory performance. The results of his study are exhaustively summarized below.
Using the summary information, carry out an analysis to determine if M is related to CL in the way Dr. Rancur predicts. Make sure you estimate the magnitude of the association, and construct a confidence interval as appropriate. In a summary sentence or two, evaluate the evidence for or against Dr. Rancur’s prediction.
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