An economist want to determine the relation between one’s FICO score, x, and the interest rate of a 36-month auto loan, y. The given data represent the interest rate (in percent) a bank would offer on a 36-month auto load for various FICO scores. Credit Score;x Interest Rate (percent);y 545 18.982 595 17.967 640 12.218 675 8.612 705 6.68 750 5.15 Find the least-squares regression line treating the FICO score as the explanatory variable and the interest rate as the response variable. Predict the interest rate a person would pay if their FICO score were the median score of 723.
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.
An economist want to determine the relation between one’s FICO score, x, and the interest rate of a 36-month auto loan, y. The given data represent the interest rate (in percent) a bank would offer on a 36-month auto load for various FICO scores.
|
Credit Score;x |
Interest Rate (percent);y |
|
545 |
18.982 |
|
595 |
17.967 |
|
640 |
12.218 |
|
675 |
8.612 |
|
705 |
6.68 |
|
750 |
5.15 |
- Find the least-squares regression line treating the FICO score as the explanatory variable and the interest rate as the response variable.
- Predict the interest rate a person would pay if their FICO score were the median score of 723.
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