A statistics professor wanted to know if there was a relationship between the midterm exam grade and the final exam grade of students. Data was obtained for 10 students: Student Midterm exam grade Final exam grade 1 65 74 2 68 73 3 71 71 4 75 80 5 75 83 6 85 85 7 88 90 8 95 94 9 97 99 10 100 98 A. Obtain the coefficient of correlation. Report to 3 decimal places. B. Obtain the slope of the regression line. Report to 3 decimal places. C. Calculate the error for a 99% confidence interval for the slope. Round all 3 values in the formula to 3 decimal places. Report the answer to 3 decimal places. D. Calculate the residual for x = 95. Use equation to 3 decimal places. Report answer to 3 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.
A statistics professor wanted to know if there was a relationship between the midterm exam grade and the final exam grade of students. Data was obtained for 10 students:
| Student | Midterm exam grade | Final exam grade |
| 1 | 65 | 74 |
| 2 | 68 | 73 |
| 3 | 71 | 71 |
| 4 | 75 | 80 |
| 5 | 75 | 83 |
| 6 | 85 | 85 |
| 7 | 88 | 90 |
| 8 | 95 | 94 |
| 9 | 97 | 99 |
| 10 | 100 | 98 |
A. Obtain the coefficient of
B. Obtain the slope of the regression line. Report to 3 decimal places.
C. Calculate the error for a 99% confidence interval for the slope. Round all 3 values in the formula to 3 decimal places. Report the answer to 3 decimal places.
D. Calculate the residual for x = 95. Use equation to 3 decimal places. Report answer to 3 decimal places.
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