A fellow student conducts a study on the Serial Position Effect. He gives subjects a list of words and then tests their recall. He hypothesizes that words early in a list and words at the end of a list will be remembered better than words in the middle of the list. He calculates a regression line using word position as the predictor variable and recall as the response variable. Then, he calculates a confidence interval to test the Null Hypothesis about the slope of the regression line. To his surprise, he fails to reject the Null (see figure below). He does not understand how this can be, because he knows from the research literature that there is a very strong relationship between word position and recall. What assumption was not satisfied in order for your fellow student to calculate the regression line?
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.
A fellow student conducts a study on the Serial Position Effect. He gives subjects a list of words and then tests their recall. He hypothesizes that words early in a list and words at the end of a list will be remembered better than words in the middle of the list. He calculates a regression line using word position as the predictor variable and recall as the response variable. Then, he calculates a confidence interval to test the Null Hypothesis about the slope of the regression line. To his surprise, he fails to reject the Null (see figure below). He does not understand how this can be, because he knows from the research literature that there is a very strong relationship between word position and recall. What assumption was not satisfied in order for your fellow student to calculate the regression line?
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