We collected teacher ratings for 25 courses taught by an instructor over a six-year period. The students' ratings of the instructor are on a scale of 1 to 9. We found that The linear regression equation is: Average Rating 7.88-0.068 Number of Students 1. Interpret the slope of this model including units: The average rating decreases 0.068 + per each additional student. 2. The predicted teacher rating for a class size of 15 students using the given prediction equation is 6.86 Next pa CS Scanned with CamScanner
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.
![We collected teacher ratings for 25 courses taught by an instructor over a six-year
period. The students' ratings of the instructor are on a scale of 1 to 9. We found that
The linear regression equation is: Average Raring 7.88-0.068 Number of
Students
1. Interpret the slope of this model including units: The average rating decreases
0.068 + per each additional student.
2. The predicted teacher rating for a class size of 15 students using the given
prediction equation is 6.86
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