Use engine size to predict the car’s width. Answer the questions. I) For each additional 3.0 liter...

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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
EngineSizeWidth
1.666
1.666
2.269
2.268
2.269
267
267
267
267
267
267
1.767
1.767
1.768
1.666
1.666
1.666
268
268
268
2.472
1.666
1.666
1.868
1.868
1.868
1.667
1.867
1.867
2.268
2.267
2.267
2.267
2.268
2.268
1.567
2.368
2.368
268
268
1.867
1.867
1.867
1.565
1.565
1.565
3.173
3.473
2.270
3.570
3.473
2.467
2.467
2.471
2.771
2.775
2.471
2.471
267
373
373
2.471
2.471
1.768
267
1.468
267
2.772
2.772
2.772
2.370
373
1.667
2.570
2.567
2.270
3.470
3.874
2.268
369
2.569
2.569
2.572
2.471
371
2.472
3.372
1.568
268
1.868
1.968
1.868
268
2.469
1.870
2.569
3.874
3.873
3.873
3.873
3.873
3.570
3.873
3.574
2.774
3.574
2.467
2.464
3.575
4.678
4.678
372
371
3.572
3.572
3.569
3.572
2.570
1.868
3.268
4.678
4.678
373
3.570
3.872
3.570
3.572
3.572
3.470
3.874
2.569
2.569
369
372
371
3.372
2.868
268
1.869
1.968
3.272
1.870
370
370
370
371
371
2.569
2.569
2.569
369
369
369
2.573
3.874
3.875
3.671
3.574
2.769
4.678
3.569
3.570
370
3.371
368
368
373
373
2.668
2.668
3.268
3.268
4.678
4.678
269
269
2.371
2.371
369
372
2.869
469
2.571
2.371
2.571
2.972
2.572
3.572
3.572
370
370
2.771
4.271
4.275
4.270
369
373
4.473
4.475
4.475
3.875
4.674
4.674
4.675
4.570
4.573
372
4.272
4.272
4.273
4.273
4.273
371
4.371
4.372
3.973
3.973
4.678
4.678
4.678
3.268
573
5.573
3.269
569
3.271
571
4.373
573
269
269
2.472
2.372
2.972

Answer & Explanation Solved by verified expert
4.0 Ratings (678 Votes)
Let the regression equation be y a bxy width of the carx engine sizeSince the data is huge I used excel data analysis option to getthe results The results are as followsRegression StatisticsMultiple R0769684RSquare0592413Adjusted R Square0590656Standard    See Answer
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