Suppose we want to predict job performance of Chevy mechanics based on mechanical aptitude test scores and test scores from personality test that measures conscientiousness. mech aptitude conscientiousness job performance x1 x2 y 40 25 1 45 20 2 38 30 1 50 30 3 48 28 2 55 30 3 53 34 3 55 36 4 58 32 4 40 34 3 55 38 5 48 28 3 45 30 3 55 36 2 60 34 4 60 38 5 60 42 5 65 38 5 50 34 4 58 38 3 Please use excel to find a line to minimize the absolute deviation. It is fine if you do not need to write down the formulation, but please print out the excel solutions and find the coefficients a1,a2, b of the line:y= a1 x1+ a2 x2+ b
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.
Suppose we want to predict job performance of Chevy mechanics based on mechanical aptitude test scores and test scores from personality test that measures conscientiousness.
| mech aptitude | conscientiousness | job performance |
| x1 | x2 | y |
| 40 | 25 | 1 |
| 45 | 20 | 2 |
| 38 | 30 | 1 |
| 50 | 30 | 3 |
| 48 | 28 | 2 |
| 55 | 30 | 3 |
| 53 | 34 | 3 |
| 55 | 36 | 4 |
| 58 | 32 | 4 |
| 40 | 34 | 3 |
| 55 | 38 | 5 |
| 48 | 28 | 3 |
| 45 | 30 | 3 |
| 55 | 36 | 2 |
| 60 | 34 | 4 |
| 60 | 38 | 5 |
| 60 | 42 | 5 |
| 65 | 38 | 5 |
| 50 | 34 | 4 |
| 58 | 38 | 3 |
Please use excel to find a line to minimize the absolute deviation. It is fine if you do not need to write down the formulation, but please print out the excel solutions and find the coefficients a1,a2, b of the line:y= a1 x1+ a2 x2+ b
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