At the Thanksgiving break, I measured the correlation between the pre-class quiz grade and the average grade in the class for all 33 students in my stats classes. Below is the output from those results. Correlation Pearson correlation of PreClass and Grade = 0.705630 P-Value = < 0.0001 Regression Equation Grade = 0.24333 + 0.006369P reClass (a) Determine the critical value in the table and explain how you know these two variables would be considered correlated. (b) Knowing that there is correlation, use this model to predict the average grade of a student in this class who did not complete any pre-class quizzes. (c) Assuming everyone in this class completed at least one quiz, would you describe the previous problem as interpolation or extrapolation?
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.
At the Thanksgiving break, I measured the
Correlation
Pearson correlation of PreClass and Grade = 0.705630
P-Value = < 0.0001
Regression Equation
Grade = 0.24333 + 0.006369P reClass
(a) Determine the critical value in the table and explain how you know these two variables would be considered correlated.
(b) Knowing that there is correlation, use this model to predict the average grade of a student in this class who did not complete any pre-class quizzes.
(c) Assuming everyone in this class completed at least one quiz, would you describe the previous problem as interpolation or extrapolation?
Given:
Correlation
Pearson correlation of PreClass and Grade = 0.705630
P-Value = < 0.0001
Regression Equation
Grade = 0.24333 + 0.006369PreClass
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