The data from a random sample of 75 students was used to fit a least squares regression line relating test scores to the number of hours spent playing Left for Dead 2 each week. The explanatory variable (hours spent playing Left for Dead 2) had a range of 0- 18 and the response variable (test score) ranged from 55 - 99%. The resulting prediction equation is y = 99 - 4.3x. Furthermore, the correlation coefficient is 0.85. Determine if the following statements are TRUE or FALSE. a. The association between hours playing Left for Dead 2 and test score is strong. b. As hours spent playing Left for Dead 2 decreases, test score decreases.
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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