It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students GPA. 1200 1120 1000 1420 1280 750 1100 3.2 2.5 2.7 3.5 2.9 2.2 2.3 1. Find the the correlation coefficient. Round your final answer to four decimal places. 2. Write the regression equation below. Round all numbers to four decimal places. 3. Using the data shown above, predict a student's first-year GPA when the student scores a 1275 on the SAT. Round your final answer to two decimal places. 4. What percentage of variation in GPAS can be explained by students' SAT scores? 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.
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