A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 7 7 7 7 6 4 1 6 5 GPA 1 2 1.6 1.5 1.3 2 3.3 1.6 2.3 Use the model to predict the GPA of a college student who as had 3 lovers. GPA = (Please round your answer to one decimal place.) Interpret the slope of the regression line in the context of the question: The slope has no practical meaning since a GPA cannot be negative. As x goes up, y goes down. For every additional lover students have, their GPA tends to decrease by 0.29. Interpret the y-intercept in the context of the question: The best prediction for the GPA of a student who has never had a lover is 3.45. If a student has never had a lover, then that student's GPA will be 3.45. The average GPA for all students is predicted to be 3.45. The y-intercept has no practical meaning for this study.
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.
A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below.
| Lovers | 7 | 7 | 7 | 7 | 6 | 4 | 1 | 6 | 5 |
|---|---|---|---|---|---|---|---|---|---|
| GPA | 1 | 2 | 1.6 | 1.5 | 1.3 | 2 | 3.3 | 1.6 | 2.3 |
- Use the model to predict the GPA of a college student who as had 3 lovers.
GPA = (Please round your answer to one decimal place.) - Interpret the slope of the regression line in the context of the question:
- The slope has no practical meaning since a GPA cannot be negative.
- As x goes up, y goes down.
- For every additional lover students have, their GPA tends to decrease by 0.29.
- Interpret the y-intercept in the context of the question:
- The best prediction for the GPA of a student who has never had a lover is 3.45.
- If a student has never had a lover, then that student's GPA will be 3.45.
- The average GPA for all students is predicted to be 3.45.
- The y-intercept has no practical meaning for this study.
Step by step
Solved in 2 steps with 1 images
