
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:This image presents the output from a multiple regression analysis examining how the cost of car insurance is related to several variables: the number of car accidents in the last three years, the driver's credit score, and the safety rating of the car. The results are displayed in the following table:
**Coefficients Table:**
| | Coefficients | Standard Error | t Stat | P-value |
|----------------------|--------------|----------------|--------|---------|
| Intercept | 933 | 95.65 | 9.754 | 0.0000 |
| Car Accidents | 167.94 | 17.99 | 9.335 | 0.0000 |
| Credit Score | -102.63 | 10.89 | -9.424 | 0.0000 |
| Safety Rating | -199.18 | 19.98 | -9.969 | 0.0000 |
**Analysis:**
- **Intercept:** The intercept has a coefficient of 933, indicating the baseline cost of insurance when other variables are zero. The p-value suggests significant statistical relevance.
- **Car Accidents:** Each additional accident increases the insurance cost by 167.94. The t-stat and p-value signify strong significance.
- **Credit Score:** A higher credit score, by one unit, decreases the cost by 102.63. This coefficient's negative value has statistical significance.
- **Safety Rating:** A unit increase in safety rating reduces the cost by 199.18, demonstrating significant influence.
**Question:**
Does the sign of the coefficient for the variable credit score make sense?
**Answer Options:**
- Yes, because it is expected that as the credit score increases then the cost should decrease.
- No, because it is expected that as the credit score increases then the cost should decrease.
- Yes, because it is expected that as the credit score increases then the cost should also increase.
- No, because it is expected that as the credit score increases then the cost should also increase.
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