GPA and SATs A large section of Stat 101 was asked tofill out a survey on grade point average and SAT scores.A regression was run to find out how well Math andVerbal SAT scores could predict academic performance as measured by GPA. The regression was run on a com-puter package with the following output: Response: GPACoefficient Std Error t-Ratio P-ValueIntercept 0.574968 0.253874 2.26 0.0249SAT Verbal 0.001394 0.000519 2.69 0.0080SAT Math 0.001978 0.000526 3.76 0.0002 a) What is the regression equation?b) From this model, what is the predicted GPA of astudent with an SAT Verbal score of 500 and an SATMath score of 550? c) What else would you want to know about this regres-sion before writing a report about the relationship between SAT scores and grade point averages? Whywould these be important to know?
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.
fill out a survey on grade point average and SAT scores.
A regression was run to find out how well Math and
Verbal SAT scores could predict academic performance
puter package with the following output:
Coefficient Std Error t-Ratio P-Value
Intercept 0.574968 0.253874 2.26 0.0249
SAT Verbal 0.001394 0.000519 2.69 0.0080
SAT Math 0.001978 0.000526 3.76 0.0002
b) From this model, what is the predicted GPA of a
student with an SAT Verbal score of 500 and an SAT
Math score of 550?
sion before writing a report about the relationship
would these be important to know?
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