nts in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the questions. Treatment # of observations Sample Mean Sum of Squares (SS) private prep 60 680 265,500 high
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.
The following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the questions.
| Treatment | # of observations | Sample Mean | Sum of Squares (SS) |
| private prep | 60 | 680 | 265,500 |
| high school prep | 60 | 650 | 276,120 |
| no prep | 60 | 635 | 302,670 |
Using the data provided, calculate the values needed for the ANOVA summary table. (Hint: T, the treatment total, can be calculated as the sample mean times the number of observations. G, the grand total, can be calculated from the values of T once you have calculated them.)
| Source | Sum of Squares (SS) | df | Mean Squares (MS) |
| between treatments | |||
| within treatments |
The sum of squares between treatments is ["", "", "", ""]
The sum of squares within treatments is ["", "", "", ""]
The df between treatments is ["", "", "", ""]
The df within treatments is ["", "", ""]
The mean square between treatments is ["", "", "", ""]
The mean square within treatments is ["", "", "", ""]
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