Perform a statistical analysis / test of hypothesis on each of the following problems. The verbal SAT score and the GPA of seven students were obtained and presented in the following table. We would like to study the nature of the connection between the two variables. Student 1 2 3 4 5 6 7 Verbal SAT Score 595 520 715 405 680 490 565 GPA 3.4 3.2 3.9 2.3 3.9 2.5 3.5 Perform a correlation analysis on the given data at the 0.05 significance 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.
Perform a statistical analysis / test of hypothesis on each of the following problems.
- The verbal SAT score and the GPA of seven students were obtained and presented in the following table. We would like to study the nature of the connection between the two variables.
|
Student |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
Verbal SAT Score |
595 |
520 |
715 |
405 |
680 |
490 |
565 |
|
GPA |
3.4 |
3.2 |
3.9 |
2.3 |
3.9 |
2.5 |
3.5 |
Perform a
Step by step
Solved in 2 steps with 3 images
