The following data about beer consumption comes from the Brewer’s Almanac. The data about teacher’s salaries ...

  

The following data about beer consumption comes from the Brewer’s Almanac. The data about teacher’s salaries is from the National Education Association.

  

State

Average   Beer Consumption in 2010 (measured in gallons)

Average   Teacher Salary in 2010 (measured in $)

 

ALABAMA

21.9

40347

 

ALASKA

19.8

53553

 

ARIZONA

22.0

44672

 

ARKANSAS

19.1

42786

 

CALIFORNIA

18.4

59825

 

COLORADO

22.0

44439

 

CONNECTICUT

16.2

59304

 

DELAWARE

25.4

54264

 

FLORIDA

21.0

43302

 

GEORGIA

18.4

48300

 

HAWAII

22.4

49292

 

IDAHO

20.1

41150

 

ILLINOIS

21.4

58686

 

INDIANA

19.1

47255

 

IOWA

25.4

41083

 

KANSAS

20.5

41467

 

KENTUCKY

17.9

42592

 

LOUISIANA

24.7

40029

 

MAINE

24.2

40737

 

MARYLAND

17.4

54333

 

MASSACHUSETTS

19.5

56369

 

MICHIGAN

19.8

54739

 

MINNESOTA

20.6

48489

 

MISSISSIPPI

24.2

40576

 

MISSOURI

23.1

40462

 

MONTANA

30.5

39832

 

NEBRASKA

25.2

40382

 

NEVADA

26.8

44426

 

NEW   HAMPSHIRE

32.7

45263

 

NEW   JERSEY

16.8

58156

 

NEW   MEXICO

23.7

41637

 

NEW   YORK

16.5

57354

 

NORTH   CAROLINA

19.9

43922

 

NORTH   DAKOTA

29.8

37764

 

OHIO

22.5

50314

 

OKLAHOMA

20.4

38772

 

OREGON

22.7

50044

 

PENNSYLVANIA

21.7

54027

 

RHODE   ISLAND

20.0

54730

 

SOUTH   CAROLINA

24.2

43011

 

SOUTH   DAKOTA

27.5

34709

 

TENNESSEE

19.0

42537

 

TEXAS

23.9

41744

 

UTAH

12.4

40007

 

VERMONT

26.2

46622

 

VIRGINIA

20.1

43823

 

WASHINGTON

19.1

46326

 

WEST   VIRGINIA

23.0

38284

 

WISCONSIN

26.3

46390

 

WYOMING

24.4

43255

Use STATDISK to determine if there is there linear correlation between the per capita beer consumption and average teacher’s salary at a 99.5% confidence level.

Is there a linear correlation? Yes there is a linear correlation.

Explain your answer and indicate your r-value and critical r-value in your explanation. 

Since larger quantities of beer consumption are related t o smaller teacher salaries, use these results to explain the statement “Correlation does not imply causality.”