point) A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or er performance on the verbal ability test administered before college entrance. The verbal scores and final grades for 10 students are shown in e table below. Student 1 2 3 456 789 10 Score 50 44 38 44 31 37 26 38 51 63 Grade 7389 89 64 75 98 92 75 97 63 Find the following: (a) The correlation coefficient: r = (b) The least squares line: y (c) The predicted grade for the eighth student: (d) The residual for the eighth student:
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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