Question: **PLEASE USE STATA** PLEASE ADDRESS EACH QUESTION INDIVIDUALLY I NEED THIS ANSWERED FAIRLY QUICKLY The Olympia Paper Company would like to develop a prediction model

**PLEASE USE STATA** PLEASE ADDRESS EACH QUESTION INDIVIDUALLY

I NEED THIS ANSWERED FAIRLY QUICKLY

The Olympia Paper Company would like to develop a prediction model that can be used to give point forecasts and prediction intervals of weekly paper towel sales over 100,000 rolls (sales are measured in units of 10,000 rolls). With a reliable model, OPC will be able to more effectively plan its production schedule, plan its budget, and estimate requirements for producing and storing this product.

Q1. Using 120 weeks of historic weekly paper towel sales, examine the time series to determine whether it is stationary. If it is not, perform a transformation to make the series stationary. In your answer, please make sure to define and explain 1) stationarity and 2) first differencing.

Q2. Use the paper towels data to illustrate the formula for , the sample autocorrelation (SAC) at lag k. Use Stata as a fancy calculator to solve for the SAC at lags 1 to k in your answer, provide a listing and a graph of the sample autocorrelations. Are any of the sample autocorrelations statistically significant? Why is this information important?

Q3. Consider the first differences of the paper towel data. Use Stata to solve for the sample partial autocorrelations in your answer, provide a listing and a graph of the sample partial autocorrelations at lags 1 to k. What is a sample partial autocorrelation? Why do we solve for sample partial autocorrelation function in addition to the sample autocorrelation function?

sales

1.15

2.14.4064

3.14.9383

4.16.0374

5.15.632

6.14.3975

7.13.8959

8.14.0765

9.16.375

10.16.5342

11.16.3839

12.17.1006

13.17.7876

14.17.7354

15.17.001

16.17.7485

17.18.1888

18.18.5997

19.17.5859

20.15.7389

21.13.6971

22.15.0059

23.16.2574

24.14.3506

25.11.9515

26.12.0328

27.11.2142

28.11.7023

29.12.5905

30.12.1991

31.10.7752

32.10.1129

33.9.933

34.11.7435

35.12.259

36.12.5009

37.11.5378

38.9.6649

39.10.1043

40.10.3452

41.9.2835

42.7.7219

43.6.83

44.8.2046

45.8.5289

46.8.8733

47.8.7948

48.8.1577

49.7.9128

50.8.7978

51.9.0775

52.9.3234

53.10.4739

54.10.6943

55.9.8367

56.8.1803

57.7.2509

58.5.0814

59.1.8313

60.-.9127

61.-1.3173

62.-.6021

63..14

64.1.403

65.1.928

66.3.5626

67.1.9615

68.4.8463

69.6.5454

70.8.0141

71.7.9746

72.8.4959

73.8.4539

74.8.7114

75.7.378

76.8.1905

77.9.972

78.9.693

79.9.4506

80.11.2088

81.11.4986

82.13.2778

83.13.591

84.13.4297

85.13.3125

86.12.7445

87.11.7979

88.11.7319

89.11.6523

90.11.3718

91.10.5502

92.11.4741

93.11.5568

94.11.7986

95.11.8867

96.11.2951

97.12.7847

98.13.9435

99.13.6859

100.14.1136

101.13.8949

102.14.2853

103.16.3867

104.17.0884

105.15.8861

106.14.8227

107.15.9479

108.15.0982

109.13.877

110.14.2746

111.15.1682

112.15.3818

113.14.1863

114.13.9996

115.15.2463

116.17.0179

117.17.2929

118.16.6366

119.15.341

120.15.6453

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