A set of data consists of the number of years that applicants for Foreign Service jobs have studied German and the grades that they received on a proficiency test. The following regression equation is obtained: y-hat = 31.6 + 10.9x, where x is the number of years of study and y is the grade on the test. What does the slope of the regression line represent? а. The expected score on the test if a person had spent no years studying. b. The expected number of years studying if a person had scored a 0 on the test. C. We would expect grades on the test to increase 10.9 points for each additional year of study. d. We would expect additional years of study to increase by 10.9 years for each additional point on the test. е. What's a slope?
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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