Many people believe that there is a negative relationship between the amount of time students play video games each week and their GPA. x 10 3 0 2 5 4 7 y 1.5 2.4 3.2 3.5 2.7 3 2.1 1. Find the the correlation coefficient. Round your final answer to four decimal places. r= 2. Write the regression equation below. Round all numbers to four decimal places. ˆy= 3. Using the data shown above, predict a student's GPA when the student plays video games for 15 hours each week. Round your final answer to two decimal places. 4. What percentage of variation in GPAs can be explained by the number of hours students' play video games each week? Round your final answer to two decimal places. %%
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.
Many people believe that there is a negative relationship between the amount of time students play video games each week and their GPA.
| x | 10 | 3 | 0 | 2 | 5 | 4 | 7 |
|---|---|---|---|---|---|---|---|
| y | 1.5 | 2.4 | 3.2 | 3.5 | 2.7 | 3 | 2.1 |
1. Find the the
r=
2. Write the regression equation below. Round all numbers to four decimal places.
ˆy=
3. Using the data shown above, predict a student's GPA when the student plays video games for 15 hours each week. Round your final answer to two decimal places.
4. What percentage of variation in GPAs can be explained by the number of hours students' play video games each week? Round your final answer to two decimal places.
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