A random sample of 10 college freshmen was selected. The computer output below uses the mathematics achievement test score to predict a student’s final calculus grade. (VIEW IMAGE) A)What is the equation for the regression line? B)Interpret the slope in context of the problem. C)Is there a significant linear relationship between the achievement test scores and the final calculus grade? Give a statistical justification to support your response at the 3% level.
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 random sample of 10 college freshmen was selected. The computer output below uses the mathematics achievement test score to predict a student’s final calculus grade.
(VIEW IMAGE)
A)What is the equation for the regression line?
B)Interpret the slope in context of the problem.
C)Is there a significant linear relationship between the achievement test scores and the final calculus grade? Give a statistical justification to support your response at the 3% level.
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