The director of an alumni association wants to determine whether there is any type of relationship between the amount of an alumni's contribution (in dollars) and the number of years the alumnus has been out of school. Based on the data below, decide if the correlation between the number of years and the amount of the contribution is significant at the alpha value of 0.05. Years x 1 3 5 10 6 9 Contribution y 640 290 170 45 70 80 a) Determine the line of best fine y = a + bx b) When x = 8 what is y and what does it mean in this context.
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 director of an alumni association wants to determine whether there is any type of relationship between the amount of an alumni's contribution (in dollars) and the number of years the alumnus has been out of school. Based on the data below, decide if the
| Years x | 1 | 3 | 5 | 10 | 6 | 9 |
| Contribution y | 640 | 290 | 170 | 45 | 70 | 80 |
a) Determine the line of best fine y = a + bx
b) When x = 8 what is y and what does it mean in this context.
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