Employees Age Salary Mary 23 28.6 Frieda 31 53.3 Alicia 44 73.8 Tom 22 26.0 Gillian 25 34.3 Bob 54 63.5 Vivian 51 96.4 Cacil 60 122.9 Barry 40 63.8 Jaime 64 111.1 Wanda 34 82.5 Sam 63 80.4 Saundra 40 69.3 Pete 31 52.8 steve 28 54.0 Juan 36 58.7 Dave 58 72.3 Lee 52 88.6 Judd 43 60.2 Sunil 28 61.0 Marcia 54 75.8 Ellen 44 79.8 Iggy 36 70.2 Can we conclude that employee age helps in predicting average employee salary? Follow the 7 steps...

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Verified Solution

Question

Basic Math

Employees

Age

Salary

Mary

23

28.6

Frieda

31

53.3

Alicia

44

73.8

Tom

22

26.0

Gillian

25

34.3

Bob

54

63.5

Vivian

51

96.4

Cacil

60

122.9

Barry

40

63.8

Jaime

64

111.1

Wanda

34

82.5

Sam

63

80.4

Saundra

40

69.3

Pete

31

52.8

steve

28

54.0

Juan

36

58.7

Dave

58

72.3

Lee

52

88.6

Judd

43

60.2

Sunil

28

61.0

Marcia

54

75.8

Ellen

44

79.8

Iggy

36

70.2

  1. Can we conclude that employee age helps in predicting averageemployee salary? Follow the 7 steps for hypothesis testing. (10points)
  2. Find the sample regression equation and interpret thecoefficients. Remember your interpretations should be in terms ofthe problem. (4 points)
  3. Find the coefficient of determination, and interpret its value.(3 points)
  4. Use residual analysis to check the validity of the model andfully explain your findings and conclusions. (6 points)
  5. Estimate with 95% confidence the average employee salary forall employees that are 35 years old. Predict with 95% confidencethe estimated salary for an individual employee that is 35 yearsold. Write at least one sentence using your confidence interval andat least one sentence using your prediction interval. (6points)
  6. Verify that the p-value for the F is the sameas the slope’s t statistic’s p-value, and show thatt2 = F. (3 points)
  7. Attach or include the relevant Minitab output. (6 points)

Answer & Explanation Solved by verified expert
3.6 Ratings (272 Votes)
The regression output isFind the sample regression equation and interpret thecoefficients Remember your interpretations should be in terms ofthe problem 4 pointsThe regression equation isSalary 81906 14474AgeThe constant is meaningless since age cannot be zeroThe coefficient age interprets that when age increases by 1 thesalary will increase by 14474Find the coefficient of determination and interpret itsvalue 3 pointsThe coefficient of determination value    See Answer
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