An instructor wants to find out whether the mean score received by students who were helped by three teaching students was the same. He has twenty-three students. At the beginning of the semester, each student is randomly assigned to one of the four teaching assistants – Aleshia, Chandra, Sumaiya, and Indranil. At the end of the semester, a common examination was administered. The scores obtained by students working with these teaching assistants are shown in the table below. Aleshia Chandra Sumaiya Indranil 72 78 80 79 69 93 68 70 84 79 59 61 76 97 75 74 64 88 82 85 81 68 63 a) Calculate the within-group, between-group, and total sum of squares. b) Construct the ANOVA table. c) Test the null hypothesis of equality of population mean scores for the teaching assistants at a .05 level of significance.
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.
An instructor wants to find out whether the
| Aleshia | Chandra | Sumaiya | Indranil |
| 72 | 78 | 80 | 79 |
| 69 | 93 | 68 | 70 |
| 84 | 79 | 59 | 61 |
| 76 | 97 | 75 | 74 |
| 64 | 88 | 82 | 85 |
| 81 | 68 | 63 |
a) Calculate the within-group, between-group, and total sum of squares.
b) Construct the ANOVA table.
c) Test the null hypothesis of equality of population mean scores for the teaching assistants at a .05 level of significance.
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