Questions
The data worksheet entitled "FUELCON4" contains the following variables for all 50 states plus the District...

The data worksheet entitled "FUELCON4" contains the following variables for all 50 states plus the District of Columbia.

FUELCON (y): Per capita fuel consumption in gallons
DRIVERS (x1): The ratio of licensed drivers to private and commercial motor vehicles registered
HWYMILES (x2):   The number of miles of federally funded highways
GASTAX (x3) : The tax per gallon of gasoline in cents
INCOME (x4): The average household income in dollars

Run the regression analysis with FUELCON as the dependent variable and the other four variables as independent variables and obtain the appropriate model diagnostic statistics: Use the Shapiro-Wilk teststatistic to test the assumption of the normality of the model residuals.

(a) What is being tested here? (Choose one)

The assumption of linearity.The assumption of normally-distributed disturbances.    Whether there is a linear relationship between x and y.The assumption of constant variance.The assumption of independence.Whether all of the x variables are important in predicting y.


(b) Which hypotheses are being tested? (Choose one)

H0: β1 = 1.0
Ha: β1 ≠ 1.0H0: All of the x variables in the model are not important
Ha: Atleast one of the x variables is important    H0: The model variance is constant
Ha: The model variance is not constantH0: Disturbances are normal
Ha: Disturbances are non-normalH0: β1 = 0
Ha: β1 ≠ 0


(c) State the decision rule.

Reject H0 if p < 0.10.
Do not reject H0 if p ≥ 0.10.Reject H0 if p > 0.10.
Do not reject H0 if p ≤ 0.10.    Reject H0 if p < 0.05.
Do not reject H0 if p ≥ 0.05.Reject H0 if p > 0.05.
Do not reject H0 if p ≤ 0.05.


(d) What is the name of the test statistic? (Choose one)

Anderson-Darling's A2Shapiro-Wilk's W    Test of Constant VarianceKolmogorov-Smirnov's DThe Partial F TestTest of Independence


(e) State the appropriate test statistic name, test statistic value, and the associated p-value (Enter the test statistic value to three decimal places, and the p-value to four decimal places).

---Select--- z A D F t W =  , p  ---Select--- < ≥ ≤ > =  

(f) What conclusion can be drawn from the test result?

Do not reject H0.The assumption of normally-distributed disturbances has been met.Do not reject H0. The assumption of independence has been met.    Reject H0. There is a linear relationship between x and y.Reject H0. The assumption of independence has not been met.Do not reject H0. There is not a linear relationship between x and y.Reject H0. The assumption of constant variance has not been met.Do not reject H0. The assumption of constant variance has been met.Reject H0. The assumption of normally-distributed disturbances has not been met.

FUELCON DRIVERS HWYMILES GASTAX INCOME
547.92 0.85 11,849 18 24426
440.38 0.81 4,532 8 30997
456.9 0.9 9,455 18 25479
530.08 1.07 7,949 21.7 22912
426.21 0.76 32,478 18 32678
474.78 0.71 11,015 22 32957
432.44 0.92 3,820 25 41930
492.97 0.88 1,260 23 32121
461.55 0.91 17,272 13.6 28493
564.82 0.81 16,950 7.5 28438
336.97 0.92 1,089 16 28554
484.83 0.69 6,466 25 24257
406.99 0.8 19,700 19 32755
524.01 0.74 10,261 15 27532
532.39 0.61 10,037 20 27283
483.31 0.81 10,494 21 28507
532.77 0.77 10,302 16.4 25057
513.8 0.77 8,954 20 24084
472.68 0.94 3,474 22 36385
463.46 0.89 6,387 23.5 34950
436.57 0.9 7,264 21 38845
504.95 0.84 16,942 19 29538
532.52 0.66 12,509 20 32791
541.06 0.97 8,747 18.4 21643
549.16 0.92 13,580 17 28029
549.35 0.68 10,456 27 23532
503.1 0.79 8,067 24.5 28564
448.81 1.13 5,976 24.75 29860
541.67 0.87 2,405 19.5 33928
465.52 0.89 9,150 10.5 38153
504.77 0.89 9,654 18.5 23162
296.44 1.1 18,998 22 35884
510.05 0.97 13,632 24.1 27418
580.32 0.66 7,415 21 25538
458.31 0.74 16,807 22 28619
523.89 0.68 11,123 17 24787
439.09 0.85 10,138 24 28000
417.36 0.87 18,448 26 30617
382.82 0.88 1,037 29 29984
557.53 0.92 9,272 16 24594
577.84 0.7 7,753 22 26301
506.3 0.83 12,036 20 26758
502.17 0.93 49,678 20 28486
430.53 0.87 7,310 24.5 24202
555.78 0.99 2,138 20 27992
529.52 0.81 14,453 17.5 32295
446.63 0.83 10,802 23 31582
466.31 0.94 5,390 25.65 22725
466.08 0.83 13,088 27.3 28911
715.55 0.67 7,841 14 28807
289.99 1.38 391 20 40498

In: Statistics and Probability

In order to buy a new car, you finance $23,000 with no down payment for a...

In order to buy a new car, you finance $23,000 with no down payment for a term of five years at an APR of 6%. After you have the car for one year, you are in an accident. No one is injured, but the car is totaled. The insurance company says that before the accident, the value of the car had decreased by 25% over the time you owned it, and the company pays you that depreciated amount after subtracting your $500 deductible. How much equity have you built up after one year? Suggestion: Use the following formula for the equity built up after k monthly payments. (Round your answer to the nearest cent.) Equity = Amount borrowed × ((1 + r)k − 1) ((1 + r)t − 1)

In: Finance

Tombro Industries is in the process of automating one of its plants and developing a flexible...

Tombro Industries is in the process of automating one of its plants and developing a flexible manufacturing system. The company is finding it necessary to make many changes in operating procedures. Progress has been slow, particularly in trying to develop new performance measures for the factory.

In an effort to evaluate performance and determine where improvements can be made, management has gathered the following data relating to activities over the last four months:

Month
1 2 3 4
Quality control measures:
Number of defects 205 183 144 98
Number of warranty claims 66 59 50 47
Number of customer complaints 122 116 99 78
Material control measures:
Purchase order lead time 10 days 9 days 7 days 5 days
Scrap as a percent of total cost 1 % 1 % 2 % 3 %
Machine performance measures:
Machine downtime as a percentage of availability 3 % 4 % 4 % 6 %
Use as a percentage of availability 95 % 92 % 89 % 85 %
Setup time (hours) 10 12 13 14
Delivery performance measures:
Throughput time ? ? ? ?
Manufacturing cycle efficiency (MCE) ? ? ? ?
Delivery cycle time ? ? ? ?
Percentage of on-time deliveries 96 % 95 % 92 % 89 %

The president has read in industry journals that throughput time, MCE, and delivery cycle time are important measures of performance, but no one is sure how they are computed. You have been asked to assist the company, and you have gathered the following data relating to these measures:

Average per Month
(in days)
1 2 3 4
Wait time per order before start
of production
8.0 10.2 11.0 13.0
Inspection time per unit 0.9 0.7 0.7 0.7
Process time per unit 3.6 2.7 2.4 1.2
Queue time per unit 4.3 5.8 7.3 9.4
Move time per unit 0.2 0.6 0.6 0.7

Required:

1-a. Compute the throughput time for each month.

1-b. Compute the manufacturing cycle efficiency (MCE) for each month.

1-c. Compute the delivery cycle time for each month.

3-a. Refer to the inspection time, process time, and so forth, given for month 4. Assume that in month 5 the inspection time, process time, and so forth, are the same as for month 4, except that the company is able to completely eliminate the queue time during production using Lean Production. Compute the new throughput time and MCE.

3-b. Refer to the inspection time, process time, and so forth, given for month 4. Assume that in month 6 the inspection time, process time, and so forth, are the same as in month 4, except that the company is able to eliminate both the queue time during production and the inspection time using Lean Production. Compute the new throughput time and MCE.

Complete this question by entering your answers in the tabs below.

  • Required 1
  • Required 3

1-a. Compute the throughput time for each month.

1-b. Compute the manufacturing cycle efficiency (MCE) for each month.

1-c. Compute the delivery cycle time for each month.

(Round your answers to 1 decimal place.)

Show less

Throughput Time Manufacturing Cycle Efficiency (MCE) Delivery Cycle Time
Month 1 days % days
Month 2 days % days
Month 3 days % days
Month 4 days % days

Complete this question by entering your answers in the tabs below.

  • Required 1
  • Required 3

3-a. (Month 5) Refer to the inspection time, process time, and so forth, given for month 4. Assume that in month 5 the inspection time, process time, and so forth, are the same as for month 4, except that the company is able to completely eliminate the queue time during production using Lean Production. Compute the new throughput time and MCE.

3-b. (Month 6) Refer to the inspection time, process time, and so forth, given for month 4. Assume that in month 6 the inspection time, process time, and so forth, are the same as in month 4, except that the company is able to eliminate both the queue time during production and the inspection time using Lean Production. Compute the new throughput time and MCE.

(Round your answers to 1 decimal place.)

Show less

Month 5 Month 6
Throughput time days days
Manufacturing cycle efficiency (MCE) % %

In: Accounting

Consider the data set: L T    0.5 1.915684 0.7 1.29032 0.9 1.90683 1.1 1.840219 1.3...

Consider the data set:

L T   
0.5 1.915684
0.7 1.29032
0.9 1.90683
1.1 1.840219
1.3 2.668192
1.5 2.432488
1.7 2.91615
1.9 2.731426
2.1 2.659927
2.3 2.662569
2.5 2.847514
2.7 3.754418
2.9 3.675227
3.1 3.363444
3.3 3.377861
3.5 4.080403
3.7 4.38519
3.9 4.073612
4.1 4.356581
4.3 4.27699

For this data we do not know how T depends on L. We hope that T is proportional to some power of L. Transform data by taking Logarithms and do linear regression. Upon computing the regression round to one decimal.

1.What is the slope?

2.What is R2? Use two decimals

3.Predict the value of T when L = 4.7 Use one decimal

In: Statistics and Probability

You want to create a portfolio as risky as the market with $500,000 to invest. Fill...

You want to create a portfolio as risky as the market with $500,000 to invest. Fill in the following table:

Asset      Investment BETA

stock A       $85,000      0.8

stock B $165,000   1.15   

stock C    ----------      1.4

Riskfree asset _______ ------

Please fill in the blanks and show all work

In: Finance

Macroeconomic BED1201 The following information relates to a hypothetical country called Dark Islands. C=5,000 + 0.8...

Macroeconomic BED1201

The following information relates to a hypothetical country called Dark Islands.
C=5,000 + 0.8 Yd
I=200
G=1000
T=300 (where T is tax)


Required:
i. Compute Y, C and S
ii. Compute the multiplier

In: Economics

Test whether the sample evidence indicates that the average time an employee stays with a company...

Test whether the sample evidence indicates that the average time an employee stays with a company in their current positions is less than 3 years when a random sample of 64 employees yielded a mean of 2.765 years and s = 0.8. Use a = 0.01. Assume normal distribution.

In: Statistics and Probability

company A has a market value of debt equal to 50m and value of equity 50m....

company A has a market value of debt equal to 50m and value of equity 50m. assume the SML holds and has a risk premium of 6% and rf = 5%. company A has a beta of 0.8. The interest paid on debt is 15% . calculate the WACC (Appropriate discount rate)

In: Finance

A student is taking an exam. Suppose that the probability that the student finishes the exam...

A student is taking an exam. Suppose that the probability that the student finishes the exam in less than x hours is x/2 for x∈[0,2]. Show that the conditional probability that the student does not finish the exam in one hour given that they are still working after 45 minutes is 0.8.

In: Statistics and Probability

You own a stock portfolio invested 30 percent in Stock Q, 25 percent in Stock R,...

You own a stock portfolio invested 30 percent in Stock Q, 25 percent in Stock R, 5 percent in Stock S, and 40 percent in Stock T. The betas for these four stocks are 0.8, 1.05, 1.55, and 0.65, respectively. What is the portfolio beta?

In: Finance