Use engine size to predict the car’s width. Answer thequestions.
I) For each additional 3.0 liter in engine size how muchthe car’s width will change? (11.11 points)
- a. It will increase by 2.42 units.
- b. It will increase by 7.27 units.
- c. It will increase by 68.2 units.
- d. It will increase by 63.3 units.
- e. Not applicable.
II) After performing the regression analysis you areasked to pick one number that would best answer the question: Arethese two variables, engine size and car width, related or not?What is this number and why? (11.11 points)
- a. The number is the slope and it clearly indicates therelation: For each additional liter in engine size the car’s widthincreases.
- b. This number is R-square and since it is not close to 1 wecannot claim that these two variables are related.
- c. The number is the P-value, which in this case is very lowindicating a strong probability that the two variables arerelated.
- d. None of these.
III) Given a car that has engine size of 2.0 liters useregression analysis and all available information in there, inorder to predict this car’s width. What is your intervalprediction?   (11.11 points)
- a. [66.36, 70.09]
- b. ± 1.8
- c. 68.2
- d. 63.3
- e. Not applicable
EngineSize | Width |
1.6 | 66 |
1.6 | 66 |
2.2 | 69 |
2.2 | 68 |
2.2 | 69 |
2 | 67 |
2 | 67 |
2 | 67 |
2 | 67 |
2 | 67 |
2 | 67 |
1.7 | 67 |
1.7 | 67 |
1.7 | 68 |
1.6 | 66 |
1.6 | 66 |
1.6 | 66 |
2 | 68 |
2 | 68 |
2 | 68 |
2.4 | 72 |
1.6 | 66 |
1.6 | 66 |
1.8 | 68 |
1.8 | 68 |
1.8 | 68 |
1.6 | 67 |
1.8 | 67 |
1.8 | 67 |
2.2 | 68 |
2.2 | 67 |
2.2 | 67 |
2.2 | 67 |
2.2 | 68 |
2.2 | 68 |
1.5 | 67 |
2.3 | 68 |
2.3 | 68 |
2 | 68 |
2 | 68 |
1.8 | 67 |
1.8 | 67 |
1.8 | 67 |
1.5 | 65 |
1.5 | 65 |
1.5 | 65 |
3.1 | 73 |
3.4 | 73 |
2.2 | 70 |
3.5 | 70 |
3.4 | 73 |
2.4 | 67 |
2.4 | 67 |
2.4 | 71 |
2.7 | 71 |
2.7 | 75 |
2.4 | 71 |
2.4 | 71 |
2 | 67 |
3 | 73 |
3 | 73 |
2.4 | 71 |
2.4 | 71 |
1.7 | 68 |
2 | 67 |
1.4 | 68 |
2 | 67 |
2.7 | 72 |
2.7 | 72 |
2.7 | 72 |
2.3 | 70 |
3 | 73 |
1.6 | 67 |
2.5 | 70 |
2.5 | 67 |
2.2 | 70 |
3.4 | 70 |
3.8 | 74 |
2.2 | 68 |
3 | 69 |
2.5 | 69 |
2.5 | 69 |
2.5 | 72 |
2.4 | 71 |
3 | 71 |
2.4 | 72 |
3.3 | 72 |
1.5 | 68 |
2 | 68 |
1.8 | 68 |
1.9 | 68 |
1.8 | 68 |
2 | 68 |
2.4 | 69 |
1.8 | 70 |
2.5 | 69 |
3.8 | 74 |
3.8 | 73 |
3.8 | 73 |
3.8 | 73 |
3.8 | 73 |
3.5 | 70 |
3.8 | 73 |
3.5 | 74 |
2.7 | 74 |
3.5 | 74 |
2.4 | 67 |
2.4 | 64 |
3.5 | 75 |
4.6 | 78 |
4.6 | 78 |
3 | 72 |
3 | 71 |
3.5 | 72 |
3.5 | 72 |
3.5 | 69 |
3.5 | 72 |
2.5 | 70 |
1.8 | 68 |
3.2 | 68 |
4.6 | 78 |
4.6 | 78 |
3 | 73 |
3.5 | 70 |
3.8 | 72 |
3.5 | 70 |
3.5 | 72 |
3.5 | 72 |
3.4 | 70 |
3.8 | 74 |
2.5 | 69 |
2.5 | 69 |
3 | 69 |
3 | 72 |
3 | 71 |
3.3 | 72 |
2.8 | 68 |
2 | 68 |
1.8 | 69 |
1.9 | 68 |
3.2 | 72 |
1.8 | 70 |
3 | 70 |
3 | 70 |
3 | 70 |
3 | 71 |
3 | 71 |
2.5 | 69 |
2.5 | 69 |
2.5 | 69 |
3 | 69 |
3 | 69 |
3 | 69 |
2.5 | 73 |
3.8 | 74 |
3.8 | 75 |
3.6 | 71 |
3.5 | 74 |
2.7 | 69 |
4.6 | 78 |
3.5 | 69 |
3.5 | 70 |
3 | 70 |
3.3 | 71 |
3 | 68 |
3 | 68 |
3 | 73 |
3 | 73 |
2.6 | 68 |
2.6 | 68 |
3.2 | 68 |
3.2 | 68 |
4.6 | 78 |
4.6 | 78 |
2 | 69 |
2 | 69 |
2.3 | 71 |
2.3 | 71 |
3 | 69 |
3 | 72 |
2.8 | 69 |
4 | 69 |
2.5 | 71 |
2.3 | 71 |
2.5 | 71 |
2.9 | 72 |
2.5 | 72 |
3.5 | 72 |
3.5 | 72 |
3 | 70 |
3 | 70 |
2.7 | 71 |
4.2 | 71 |
4.2 | 75 |
4.2 | 70 |
3 | 69 |
3 | 73 |
4.4 | 73 |
4.4 | 75 |
4.4 | 75 |
3.8 | 75 |
4.6 | 74 |
4.6 | 74 |
4.6 | 75 |
4.5 | 70 |
4.5 | 73 |
3 | 72 |
4.2 | 72 |
4.2 | 72 |
4.2 | 73 |
4.2 | 73 |
4.2 | 73 |
3 | 71 |
4.3 | 71 |
4.3 | 72 |
3.9 | 73 |
3.9 | 73 |
4.6 | 78 |
4.6 | 78 |
4.6 | 78 |
3.2 | 68 |
5 | 73 |
5.5 | 73 |
3.2 | 69 |
5 | 69 |
3.2 | 71 |
5 | 71 |
4.3 | 73 |
5 | 73 |
2 | 69 |
2 | 69 |
2.4 | 72 |
2.3 | 72 |
2.9 | 72 |