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For calculation, please use precision level at least three digits after the decimal point . For hypothesis tests, use significance level of a = 0.05. Apple Inc. Stock Closing Prices To manage an...

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For calculation, please use precision level at least three digits after the decimal point.
For hypothesis tests, use significance level of a = 0.05.
Apple Inc. Stock Closing Prices
To manage an investment portfolio, suppose now you are required to analyze and predict prices of in-trading stocks of Apple Inc. You are given last 10 years’ monthly stock closing prices of the company, listed in the attached Minitab dataset “Apple Stock Price.MTW”, with variable name of AAPL.
Also based on experts’ opinions, the following nine potential independent variables may have influences on Apple stock prices:
MSFT: monthly closing price of stock of Microsoft Corp.
HP: monthly closing price of stock issued by Hewlett & Packard
Dell: monthly closing price of Dell Inc. stock
Sony: monthly closing price of stock of Sony Corp.
IBM: monthly closing price of stock of International Business Machines Corp.
SP500: monthly closing index of S&P 500
CSCO: monthly closing price of stock of Cisco Systems, Inc.
INTC: monthly closing price of stock of Intel Corp.
TXN: monthly closing price of stock of Texas Instruments Inc.
Monthly closing prices of all nine variables are listed in the same Minitab dataset. Now use the data given,
[Note: You must provide the outputs from Minitab to support your analyses.]
(a). Obtain a scatter plot matrix of all variables included in the dataset. (15 points)
(b). Use stepwise regression model, find the most appropriate regression model (here must be a multiple linear regression model based on the last step from stepwise regression algorithm). Write down the correct model estimate. (30 points)
[Note: The model estimate should be in correct Time Series model format (5 points), and you should provide correct Minitab outputs (15 points).]
(c). What is the R2 of the regression model in (b)? Interpret its meaning. (15 points)
(d). Analyze the residuals of the regression model identified in (b), using formal hypothesis test, check the adequacy of your regression model. (40 points)
[Note: You must provide detailed steps in testing whether residual TS is white noise, along with showing Minitab outputs (20 points).]

Answered Same Day Dec 29, 2021

Solution

David answered on Dec 29 2021
123 Votes
For calculation, please use precision level at least three digits after the decimal point.
For hypothesis tests, use significance level of α = 0.05.
Apple Inc. Stock Closing Prices
To manage an investment portfolio, suppose now you are required to analyze and predict prices of in-trading stocks of Apple Inc. You are given last 10 years’ monthly stock closing prices of the company, listed in the attached Minitab dataset “Apple Stock Price.MTW”, with variable name of AAPL.
Also based on experts’ opinions, the following nine potential independent variables may have influences on Apple stock prices:
MSFT: monthly closing price of stock of Microsoft Corp.
HP: monthly closing price of stock issued by Hewlett & Packard
Dell: monthly closing price of Dell Inc. stock
Sony: monthly closing price of stock of Sony Corp.
IBM: monthly closing price of stock of International Business Machines Corp.
SP500: monthly closing index of S&P 500
CSCO: monthly closing price of stock of Cisco Systems, Inc.
INTC: monthly closing price of stock of Intel Corp.
TXN: monthly closing price of stock of Texas Instruments Inc.
Monthly closing prices of all nine variables are listed in the same Minitab dataset. Now use the data given,
[Note: You must provide the outputs from Minitab to support your analyses.]
(a). Obtain a scatter plot matrix of all variables included in the dataset. (15 points)
30.3625
58.7875
22.04
42.78
16.9325
33.7375
31.945
62.715
89.89
153.05
938.66
1345.81
17.22
30.70
18.805
30.935
3
0
.3
6
2
5
5
8
.7
8
7
5
21.7125
36.4375
2
2
.
0
4
4
2
.
7
8
1
6
.9
3
2
5
3
3
.7
3
7
5
3
1
.9
4
5
6
2
.7
1
5
8
9
.
8
9
1
5
3
.0
5
9
3
8
.6
6
1
3
4
5
.8
1
1
7
.
2
2
3
0
.
7
0
1
8
.8
0
5
3
0
.9
3
5
2
1
.7
1
2
5
3
6
.4
3
7
5
MSFT
HP
Dell
Sony
IBM
SP500
CSCO
INTC
TXN
(b). Use stepwise regression model, find the most appropriate regression model (here must be a multiple linear regression model based on the last step from stepwise regression algorithm). Write down the co
ect model estimate. (30 points)
[Note: The model estimate should be in co
ect Time Series model format (5 points), and you should provide co
ect Minitab outputs (15 points).]
Stepwise Regression: AAPL versus MSFT, HP, ...
Alpha-to-Enter: 0.15 Alpha-to-Remove: 0.15
Response is AAPL on 9 predictors, with N = 131
Step 1
Constant -130.2
MSFT -1.68
T-Value -4.19
P-Value 0.000
HP 1.11
T-Value 1.88
P-Value 0.062
Dell -0.82
T-Value -1.02
P-Value 0.309
Sony -0.30
T-Value -0.63
P-Value 0.529
IBM 3.08
T-Value 17.54
P-Value 0.000
SP500 0.060
T-Value 1.36
P-Value 0.176
CSCO -2.6
T-Value -2.29
P-Value 0.024
INTC -2.8
T-Value -2.19
P-Value 0.030
TXN 0.5
T-Value 0.47
P-Value 0.642
S 28.0
R-Sq 93.80
R-Sq(adj) 93.33
C-p 10.0
The regression model is
AAPL = - 130.2 - 1.68 MSFT + 1.11 HP - 0.82 Dell - 0.30 Sony + 3.08 IBM
+ 0.060 SP500 - 2.6 CSCO - 2.8 INTC + 0.5 TXN
(c). What is the R2 of the regression model in (b)? Interpret its meaning. (15 points)
Answer:
R2 = 0.9380 or 93.80%
93.80% of the total variation is explained by the regression model.
(d). Analyze the residuals of the regression model identified in (b), using formal hypothesis test, check the adequacy of your regression model. (40 points)
[Note: You must provide detailed steps in testing whether residual TS is white noise, along with showing Minitab outputs (20 points).]
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����”���MatrixPlot 'MSFT' 'HP' 'Dell' 'Sony' 'IBM' 'SP500' 'CSCO' 'INTC' &�������������������������������������������������������������������������jÌ��ˆ���âË��MatrixPlot 'MSFT' 'HP' 'Dell' 'Sony' 'IBM' 'SP500' 'CSCO' 'INTC' &�������������������������������������������������������������;; HMF V1.24 TEXT
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