14. More Computation on Predicting GPA Computer output for a regression model to predict grade point average in college based on score on the Verbal SAT exam is shown below. The regression equation is GPA=2.03+0.00189 VerbalSAT Analysis of Variance Source DF SS MS F P Regression 1 6.8029 6.8029 48.84 0.000 Residual Error 343 47.7760 0.1393 Total 344 54.5788 Use this output, together with any helpful summary statistics from the table below, to calculate the following regression quantities. . Sample Size Mean Std.Dev. GPA 345 3.1579 0.3983 VerbalSAT 345 594.0 74.29 Table 1 Grade point average and Verbal SAT score (a) The standard deviation of the error term, sεRound your answer to three decimal places. (b) The standard error of the slope, SERound your answer to five 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.
14. More Computation on Predicting GPA
Computer output for a regression model to predict grade point average in college based on score on the Verbal SAT exam is shown below.
| The regression equation is GPA=2.03+0.00189 VerbalSAT | |||||
| Analysis of Variance | |||||
| Source | DF | SS | MS | F | P |
|---|---|---|---|---|---|
| Regression | 1 | 6.8029 | 6.8029 | 48.84 | 0.000 |
| Residual Error | 343 | 47.7760 | 0.1393 | ||
| Total | 344 | 54.5788 |
Use this output, together with any helpful summary statistics from the table below, to calculate the following regression quantities.
| . | Mean | Std.Dev. | |
|---|---|---|---|
| GPA | 345 | 3.1579 | 0.3983 |
| VerbalSAT | 345 | 594.0 | 74.29 |
Table 1 Grade point average and Verbal SAT score
(a) The standard deviation of the error term, sε
Round your answer to three decimal places.
(b) The standard error of the slope, SE
Round your answer to five decimal places.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
