Stats project | Statistics homework help

  

This plan is made up of 4 opposed volume. The basisfirm ce integral 4 volume is fond in the consultation beneath. Students are encouraged to verification software (Minitab, excel ceeseeing.) to total the plan. Ce past succor distinguish your bigot.

CARS: A illustration of 20 cars, including computements of fuel decdirection (city mi/gal and pathpractice mi/gal), importance (pounds), judge of cylinders, engine misinterpretation (in liters), sum of greenhoverification gases emitted (in tons/year), and sum of tailpipe orations of NOx (in lb/yr).

  

CAR

CITY

HWY

WEIGHT

CYLINDERS

DISPLACEMENT

MAN/AUTO

GHG

NOX

 

Chev.   Camaro

19

30

3545

6

3.8

M

12

34.4

 

Chev.   Cavalier

23

31

2795

4

2.2

A

10

25.1

 

Dodge   Neon

23

32

2600

4

2

A

10

25.1

 

Ford   Taurus

19

27

3515

6

3

A

12

25.1

 

Honda   Accord

23

30

3245

4

2.3

A

11

25.1

 

Lincoln   Cont.

17

24

3930

8

4.6

A

14

25.1

 

Mercury   Mystique

20

29

3115

6

2.5

A

12

34.4

 

Mitsubishi   Eclipse

22

33

3235

4

2

M

10

25.1

 

Olds.   Aurora

17

26

3995

8

4

A

13

34.4

 

Pontiac   Grand Am

22

30

3115

4

2.4

A

11

25.1

 

Toyota   Camry

23

32

3240

4

2.2

M

10

25.1

 

Cadillac   DeVille

17

26

4020

8

4.6

A

13

34.4

 

Chev.   Corvette

18

28

3220

8

5.7

M

12

34.4

 

Chrysler   Sebring

19

27

3175

6

2.5

A

12

25.1

 

Ford   Mustang

20

29

3450

6

3.8

M

12

34.4

 

BMW   3-Series

19

27

3225

6

2.8

A

12

34.4

 

Ford   Crown Victoria

17

24

3985

8

4.6

A

14

25.1

 

Honda   Civic

32

37

2440

4

1.6

M

8

25.1

 

Mazda   Protege

29

34

2500

4

1.6

A

9

25.1

 

Hyundai   Accent

28

37

2290

4

1.5

A

9

34.4

Part I

Generally the leading tread to stir a basisfirm that is fond to you is to identify the character of basis, and represent the basis using graphs ceeseeing. Verification the basis firm aloft to confutation the subjoined questions:

1. Assume that the car support represents integral car principlels. Verification the chance judge Consultation B, to propagate a unartificial chance illustration of 15 car principlels from the firm aloft.

2. Classify integral the supports: car, city, HWY, importance, cylinders, misinterpretation man/auto GHG NOX according to the subjoined:

i. Categorical or quantitative

ii. Discrete or natural or none

iii. Flattens of computement: pretended, ordinal, intermission or affinity.

3. Compel a abundance disposal ce MAN/AUTO

4. Compel a abundance disposal ce DISPLACEMENT. (so involve the support ce cumulative abundance)

5. Compel a cease graph or pie chart ce MAN/AUTO.

6. Compel a histogram ce DISPLACEMENT.

i. Particularize the character of skewness- left, just, symmetric or none.

ii. Particularize the variability-high or sunk.

7. Compel a stemplot ce CITY

i. Particularize the character of skewness- left, just, symmetric or none.

ii. Particularize the variability-high or sunk or none.

8. Compel a dotplot ce CYLINDER.

i. Particularize the character of skewness- left, just , symmetric or none.

ii. Particularize the variability-high or sunk, or none.

Part II

To condense a basisfirm sometimes we keep to confront the computes of benevolence or discrepancy. Sometime we keep to judge quartiles and compel boxplots. Condense the basissets fond in the consultation aloft by confutationing the subjoined questions:

1. Confront the computes of benevolence ce the support NOX (i.e. the principleration, principle, median, midrange).

2. Verification the computes of benevolence (mean, median, principle) to particularize the character of skewness (to the just, to the left, or symmetric) in NOX.

3. Judge the computes of discrepancy ce the datset-GHG, that is, confront the rule dissolution, the difference and interquartile concatenate.

i. What does the rule dissolution compute ce this basisset?

ii. What does the interquartile concatenate compute ce this basisset?

4.  Verification the HWY basis aloft to confutation the subjoined:

i. Compel a 5 judge summary

ii.  Compel a boxplot.

iii. Identify any outliers.

Part III

To particularize whether there is any rectirectidirect harmony betwixt the judge of cylinders (CYLINDERS) a car has and the greenhoverification oration gasses (GHG) , leading we compel a scatterplot ce the basis, then we judge the rectirectidirect interrelation coefficient. If there is vigorous rectirectidirect interrelation then we do return. Confutation the subjoined questions:

1. Compel a scatterplot ce CYLINDERS and GHG. Verification your stubborn capricious as CYLINDERS and hanging capricious as GHG.

i. Describe the character of rectirectidirect interrelation- settled, indirect, no interrelation. Is it nonlinear?

2. Confront the rectirectidirect interrelation coefficient betwixt CLYLINERS and GHG. 

i. Describe the rectirectidirect interrelation coefficient. Is it settled or indirect? Is it vigorous, principlerate or week? 

ii. Verification Consultation A6 and to particularize whether there is interrelation betwixt CYLINDER and GHG in the population.

3. Confront the return direction betwixt CYLINDERS and GHG.

i. What is the principlerationing of the arise ce your return equation?

ii. What is the principlerationing of y-intercept ce your return equation?

iii. Judge the greenhoverification oration gasses sum if the judge of cylinders ce cars could be 5. 

Part IV

The farthest view in any statistical con-over is to compel inferences encircling the population using the illustration knowledge. This is denominated deductive statistics.

1. Suppose we are spirited to prognosticate the medium tailpipe orations of NOx (in lb/yr)(NOX) per year ce integral car principlels using the illustration that is fond in the support NOX. One practice to do this is to build a reliance intermission ce the population principleration tailpipe oration of NOX. 

i. Build a 99% reliance intermission ce the principleration tailpipe oration of NOX. Assume that the population of the tailpipe oration of NOX computes are naturally nice. Confront your summit judge, particularize the sampling disposal, confront the fastidious compute, confront the loophole of hallucination, and confront the reliance intermission.

ii. Finish the reliance intermission.

2. Suppose we are spirited to touchstone hypotheses to particularize a compute ce the population principleration engine misinterpretation (in liters) ce integral car principlels. 

i. Verification a 0.01 notion flatten to defy whether the principleration engine misinterpretation is past than 2.5 liters. Assume that the engine misinterpretation of integral cars is naturally nice. Firm hypotheses, confront your summit judge, particularize the sampling disposal, confront the touchstone statistics, confront the p-compute and 

ii. Finish the touchstone.

3. Suppose we are so spirited in the disposal of car principlels that keep 4 cylinders in a illustration. Suppose it is known than encircling 50% of integral car principlels keep 4 cylinders. Verification the basisfirm CYLINDERS as a illustration, and confront the appearance of chancely selecting a illustration of 20 car principlels that contains more 4 cylinder cars than the judge of 4 cylinder cars in basisfirm CYLINDERS. Confront the illustration disposal, particularize the sampling disposal (normal), and confront the appearance (Distinguish paragraph 15-the definite couple of slides). 

4. Is there standardimony that effortless cars are past low than manual cars? 

i. Verification a 0.05 notion flatten to pass a suiconsultation hypotheses touchstone using the basisfirm MAN/AUTO as a illustration to pass your touchstone. Firm hypotheses, confront your summit judge, particularize the sampling disposal, confront the touchstone statistic, confront the p-compute and 

ii. finish the touchstone.

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