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 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 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.
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.)
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Complete this question by entering your answers in the tabs below.
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.)
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In: Accounting
Consider the data set:
|
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 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 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 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. 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 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
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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