Consider the following computer output from a multiple regression analysis relating the cost of car insurance to the variables: number of car accidents, driver's credit score, and safety rating of the car. Intercept Car Accidents (In last 3 years) Credit Score Safety Rating Answer Coefficients 680 122.40 Coefficients -74.80 -104.25 Standard Error Does the sign of the coefficient for the variable number of car accidents make sense? 79.71 14.75 8.89 11.46 t Stat 8.531 8.298 P-value 0.0000 0.0000 -8.414 0.0000 -9.097 0.0000 O Yes, because it is expected that as the number of car accidents increases then the cost should also increase. O No, because it is expected that as the number of car accidents increases then the cost should also increase. O Yes, because it is expected that as the number of car accidents increases then the cost should decrease. O No, because it is expected that as the number of car accidents increases then the cost should decrease. Keyp Keyboard Short Tables

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**Transcription for Educational Website:**

Consider the following computer output from a multiple regression analysis relating the cost of car insurance to the variables: number of car accidents, driver's credit score, and safety rating of the car.

| Coefficients    | Coefficients | Standard Error | t Stat  | P-value |
|-----------------|--------------|---------------|---------|---------|
| Intercept       | 680          | 79.71         | 8.531   | 0.0000  |
| Car Accidents (In last 3 years) | 122.40       | 14.75   | 8.298   | 0.0000  |
| Credit Score    | -74.80       | 8.89          | -8.414  | 0.0000  |
| Safety Rating   | -104.25      | 11.46         | -9.097  | 0.0000  |

Does the sign of the coefficient for the variable number of car accidents make sense?

**Answer:**

- Yes, because it is expected that as the number of car accidents increases then the cost should also increase.
- No, because it is expected that as the number of car accidents increases then the cost should also increase.
- Yes, because it is expected that as the number of car accidents increases then the cost should decrease.
- No, because it is expected that as the number of car accidents increases then the cost should decrease.
Transcribed Image Text:**Transcription for Educational Website:** Consider the following computer output from a multiple regression analysis relating the cost of car insurance to the variables: number of car accidents, driver's credit score, and safety rating of the car. | Coefficients | Coefficients | Standard Error | t Stat | P-value | |-----------------|--------------|---------------|---------|---------| | Intercept | 680 | 79.71 | 8.531 | 0.0000 | | Car Accidents (In last 3 years) | 122.40 | 14.75 | 8.298 | 0.0000 | | Credit Score | -74.80 | 8.89 | -8.414 | 0.0000 | | Safety Rating | -104.25 | 11.46 | -9.097 | 0.0000 | Does the sign of the coefficient for the variable number of car accidents make sense? **Answer:** - Yes, because it is expected that as the number of car accidents increases then the cost should also increase. - No, because it is expected that as the number of car accidents increases then the cost should also increase. - Yes, because it is expected that as the number of car accidents increases then the cost should decrease. - No, because it is expected that as the number of car accidents increases then the cost should decrease.
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