Slept less than 8hrs 235 Slept 8hrs or more Failed the exam Passed the exam 180 190 203 a) Find the probability that a randomly selected student failed the exam. b) Find the probability that a randomly selected student failed the exam given that they slept at least 8 hours the night before. c) Find the probability that a randomly selected student passed the exam OR slept fewer than 8 hours.
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 college professor is interested in exam performance and sleep habits of her students. She collected data for six months and the results are in the following table.
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