The following data has midterm marks and end term marks of 9 students. Maximum marks for both mid term marks as well as end term marks are 100. Calculate regression line between midterm marks and end term marks using below dataset. Give detailed explanation with solution. Student Roll No. 1 2 3 4 5 6 7 8 9 Mid Term Marks 67 59 73 63 89 78 64 28 89 End Term Marks 55 42 80 83 76 67 63 33 58
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.
The following data has midterm marks and end term marks of 9 students. Maximum marks for both mid term marks as well as end term marks are 100. Calculate regression line between midterm marks and end term marks using below dataset. Give detailed explanation with solution.
| Student Roll No. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| Mid Term Marks | 67 | 59 | 73 | 63 | 89 | 78 | 64 | 28 | 89 |
| End Term Marks | 55 | 42 | 80 | 83 | 76 | 67 | 63 | 33 | 58 |
Step by step
Solved in 2 steps
