Scores x on the SAT Writing among Kentucky high school seniors in a recent year were normally distributed with mean 550 and standard deviation 100. The scores y of the same students on the SAT Math were normally distributed with mean 570 and standard deviation 100. The least-squares regression line for predicting math score from writing score has the equation y = 0.6 x + 240. Reference: Ref 15-6 The correlation between writing scores and math scores is
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.
Scores x on the SAT Writing among Kentucky high school seniors in a recent year were
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