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 Interest Rate Score;x (percent);y 545 18.982 595 17.967 12.218 8.612 705 6.68 750 5.15 1. Find the least-squares regression line treating the FICO score as the explanatory variable and the interest rate as the response variable. 2. Predict the interest rate a person would pay if their FICO score were the median score of 723. 640 675

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### Relationship Between FICO Score and Auto Loan Interest Rate

An economist aims to determine the relationship 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 loan 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                       |

### Tasks:

1. **Find the least-squares regression line** 
   - Treat the FICO score as the explanatory variable and the interest rate as the response variable.

2. **Predict the interest rate**
   - Estimate the interest rate a person would pay if their FICO score were the median score of 723.
Transcribed Image Text:### Relationship Between FICO Score and Auto Loan Interest Rate An economist aims to determine the relationship 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 loan 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 | ### Tasks: 1. **Find the least-squares regression line** - Treat the FICO score as the explanatory variable and the interest rate as the response variable. 2. **Predict the interest rate** - Estimate the interest rate a person would pay if their FICO score were the median score of 723.
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