Use the table to answer the following questions: Student’s GPA Course Grade % 1.06 47 1.75 50 1.9 60 2.3 55 2.64 66 3.17 78 3.65 90 3.8 89 4.0 92 a) Find the equation of the regression line used to predict the Course Grade based on the Student’s GPA. b) If the Student’s GPA increases by 1.0, we would expect the average Course Grade to (CHOOSE ONE - increase or decrease) by _____________ points. c) Predict the Course Grade of a student whose GPA is 3.0. d) Calculate the Course Grade for a student whose GPA is 5.5. Is this prediction reasonable? Explain.
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.
Use the table to answer the following questions:
|
Student’s GPA |
Course Grade % |
|
1.06 |
47 |
|
1.75 |
50 |
|
1.9 |
60 |
|
2.3 |
55 |
|
2.64 |
66 |
|
3.17 |
78 |
|
3.65 |
90 |
|
3.8 |
89 |
|
4.0 |
92 |
a) Find the equation of the regression line used to predict the Course Grade based on the Student’s GPA.
b) If the Student’s GPA increases by 1.0, we would expect the average Course Grade to (CHOOSE ONE - increase or decrease) by _____________ points.
c) Predict the Course Grade of a student whose GPA is 3.0.
d) Calculate the Course Grade for a student whose GPA is 5.5. Is this prediction reasonable? Explain.
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