Psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded. Hours without sleep 32 38 48 24 46 35 30 34 42 Number of Mistakes 6 8 13 5 7 6 5 8 12 Hours without sleep=x, Number of mistakes=y (a) Find the correlation coefficient. (Round your answer to nearest hundredth. e.g. 2.345 would be entered as 2.35) (b) Find the critical value. (c) By using the critical value test, is there a linear relation exist between hours without sleep and number of mistakes? (Enter yes or no, e.g. if you answer is "yes", enter as yes)
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.
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