4. Slow down and save Fuel efficiency for many cars is related to how fast the car is driven. To explore this relationship, some researchers calculated the mean fuel efficiency for nine different car models at 13 different speeds. Here are the results. Speed (mph) 15 20 25 30 35 40 45 50 55 60 65 70 75 Mean fuel efficiency (mpg) 24.4 27.9 30.5 31.7 31.2 31.0 31.6 32.4 32.4 31.4 29.2 26.8 24.8 (a) Calculate a quadratic model for these data using speed as the explanatory variable. (b) Sketch the scatterplot, along with the quadratic model. (c) Calculate and interpret the residual for the cars traveling 60 miles per hour.

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**4. Slow down and save** 

Fuel efficiency for many cars is related to how fast the car is driven. To explore this relationship, some researchers calculated the mean fuel efficiency for nine different car models at 13 different speeds. Here are the results.

| Speed (mph) | Mean fuel efficiency (mpg) |
|-------------|----------------------------|
| 15          | 24.4                       |
| 20          | 27.9                       |
| 25          | 30.5                       |
| 30          | 31.7                       |
| 35          | 31.2                       |
| 40          | 31.0                       |
| 45          | 31.6                       |
| 50          | 32.4                       |
| 55          | 32.4                       |
| 60          | 31.4                       |
| 65          | 29.2                       |
| 70          | 26.8                       |
| 75          | 24.8                       |

(a) Calculate a quadratic model for these data using speed as the explanatory variable.

(b) Sketch the scatterplot, along with the quadratic model.

(c) Calculate and interpret the residual for the cars traveling 60 miles per hour.
Transcribed Image Text:**4. Slow down and save** Fuel efficiency for many cars is related to how fast the car is driven. To explore this relationship, some researchers calculated the mean fuel efficiency for nine different car models at 13 different speeds. Here are the results. | Speed (mph) | Mean fuel efficiency (mpg) | |-------------|----------------------------| | 15 | 24.4 | | 20 | 27.9 | | 25 | 30.5 | | 30 | 31.7 | | 35 | 31.2 | | 40 | 31.0 | | 45 | 31.6 | | 50 | 32.4 | | 55 | 32.4 | | 60 | 31.4 | | 65 | 29.2 | | 70 | 26.8 | | 75 | 24.8 | (a) Calculate a quadratic model for these data using speed as the explanatory variable. (b) Sketch the scatterplot, along with the quadratic model. (c) Calculate and interpret the residual for the cars traveling 60 miles per hour.
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