Burlington has tracked daily sales of coats for the three locations below:

Question Set 1. Using only the Chicago sales data, generate the following sales forecasts:

1. Naïve forecasts (using the deseasonalized sales data) for January 5th through January 30^th. You will need to adjust the sales data to remove the seasonality effects. (6pts)

2. Four-day moving average forecasts for January 8^th through January 30^th. (3pts)

3. Twelve-day moving average forecasts for January 16^th through January 30^th. (3pts)

Note that, for example, you will not be able to make a four-day moving average forecast for January 7^th since four previous sales figures are required.

In a specific population of plants the occurrence of homozygous recessive (aa) individuals is determined to be 9%. Assume the population is in Hardy-Weinberg Equilibrium.

1. What is the frequency of the dominant (A) allele in the population?

1. 0.9
2. 0.7
3. 0.3
4. 0.09

2. What is the frequency of the recessive (a) allele in the population?

1. 0.9
2. 0.7
3. 0.3
4. 0.09

3. What is the frequency of the homozygous dominant individuals in the population?

1. 0.810
2. 0.490
3. 0.900
4. 0.081

4. What is the frequency of the heterozygotes in the population?

1. 0.49
2. 0.42
3. 0.38
4. 0.09

The average annual wind speed in Rochester, Minnesota is 13.1 miles per hour. A sample of 100 days is used to determine the average wind speed. Find the 98% confidence interval of the mean. Assume the standard deviation was 2.8 miles per hour.

Find the equilibrium vector for the transition matrix below. left bracket Start 3 By 3 Matrix 1st Row 1st Column 0.3 2nd Column 0.3 3rd Column 0.4 2nd Row 1st Column 0.2 2nd Column 0.4 3rd Column 0.4 3rd Row 1st Column 0.3 2nd Column 0.2 3rd Column 0.5 EndMatrix right bracket, The equilibrium vector is?

he results of ANOVA test are summarized in Table 1.

Table 1. Shows the results of ANOVA for three different procedures

The degrees of freedom for between and within are:

Select one:

A. 1 and 13 respectively

B. 2 and 12 respectively

C. 3 and 11 respectively

D. 4 and 10 respectively

QUESTION 42

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A research group claims by taking a special vitamin, a weight lifter can increase his strength. After two weeks of training, supplemented with vitamin, they tested again. Test the effectiveness of the regiment at α = 0.05. Assume that the variable is normally distributed. The alternative hypothesis is :

Select one:

a. H0: µD ≥ 0

b. H0: µD = 0

c. H0: µD ≠ 0

d. H0: µD ≤ 0

QUESTION 43

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What is nP0? NEED TO FIND THEM N AND po

Select one:

A. 1

B. no answer

C. n

D. 0

QUESTION 44

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The data for a sample of 100 gave the regression line equation for age and blood pressure is Ÿ = 100 + 0.96X, and the standard error is 5. The 95% confidence interval of the prediction of the blood pressure of a person who is 43 years old showed that the lower confidence limit is :

Select one:

A. 125.67

B. 141.34

C. 142.34

D. 131.48

QUESTION 45

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A researcher wants to investigate if there is a difference in the rates of hotel room in two cities. A sample of 50 were selected from each city, the average hotel room in the first city is RM88.42 and in the second city is RM80.61 and the standard deviation are RM5.62 and RM4. The null hypothesis for the difference between the means is

Select one:

A. µ1 - µ2 ≤ 0

B. µ1 - µ2 = 0

C. µ1 - µ2 ≥ 0

D. µ1 - µ2 ≠ 0

QUESTION 46

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When a distribution is bell-shaped approximately what percentage of data values will fall within one standard deviation of the mean?

Select one:

A. 95%

B. 68%

C. 99.7%

D. 50%

QUESTION 47

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A repair team is responsible for a stretch of oil pipeline 2 miles long. The distance (in miles) at which any fracture occurs can be represented by a uniformly distributed random variable f(x) = 0.5

What is the probability that any given fracture occurs between 0.5 mile and 1.5 miles along this stretch pipeline?

Select one:

A. 0.2

B. 0.5

C. 0.1

D. 0.7

QUESTION 48

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In an advertisement, a retail store stated that its employees averaged nine years of service. The distribution is shown here.

Using the weighted mean, the correct average is .........

Select one:

A. 4.5

B. 3.5

C. 5.4

D. 5.3

QUESTION 49

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The data for a sample of 100 gave the regression line equation for age and blood pressure is Ÿ = 100 + 0.96X, and the standard error is 5. The 95% confidence interval of the prediction of the blood pressure of a person who is 43 years old showed that the upper confidence limit is :

Select one:

A. 159.08

B. 149.09

C. 151.08

D. 155.08

QUESTION 50

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The variance for the data values “ 87, 85, 80, 78, 86, 90” is :

Select one:

A. 4.1

B. 12

C. 85

D. 17.1

Make a numerical and graphical summary of the data, commenting on any features that you find interesting. Limit the output you present to a quality that a busy reader would find sufficient to get a basic understanding of the data. PLEASE SHOW ME HOW TO USE R TO SOLVE THIS.

race - racial composition in percent minority

fire - fires per 100 housing units

theft - theft per 1000 population

age - percent of housing units built before 1939

volact - new homeowner policies plus renewals minus cancellations and non renewals per 100 housing units

involact - new FAIR plan policies and renewals per 100 housing units

income - median family income

Note that first column of the data set is ZIP code in Chicago

race fire theft age volact involact income
60626 10.0 6.2 29 60.4 5.3 0.0 11744
60640 22.2 9.5 44 76.5 3.1 0.1 9323
60613 19.6 10.5 36 73.5 4.8 1.2 9948
60657 17.3 7.7 37 66.9 5.7 0.5 10656
60614 24.5 8.6 53 81.4 5.9 0.7 9730
60610 54.0 34.1 68 52.6 4.0 0.3 8231
60611 4.9 11.0 75 42.6 7.9 0.0 21480
60625 7.1 6.9 18 78.5 6.9 0.0 11104
60618 5.3 7.3 31 90.1 7.6 0.4 10694
60647 21.5 15.1 25 89.8 3.1 1.1 9631
60622 43.1 29.1 34 82.7 1.3 1.9 7995
60631 1.1 2.2 14 40.2 14.3 0.0 13722
60646 1.0 5.7 11 27.9 12.1 0.0 16250
60656 1.7 2.0 11 7.7 10.9 0.0 13686
60630 1.6 2.5 22 63.8 10.7 0.0 12405
60634 1.5 3.0 17 51.2 13.8 0.0 12198
60641 1.8 5.4 27 85.1 8.9 0.0 11600
60635 1.0 2.2 9 44.4 11.5 0.0 12765
60639 2.5 7.2 29 84.2 8.5 0.2 11084
60651 13.4 15.1 30 89.8 5.2 0.8 10510
60644 59.8 16.5 40 72.7 2.7 0.8 9784
60624 94.4 18.4 32 72.9 1.2 1.8 7342
60612 86.2 36.2 41 63.1 0.8 1.8 6565
60607 50.2 39.7 147 83.0 5.2 0.9 7459
60623 74.2 18.5 22 78.3 1.8 1.9 8014
60608 55.5 23.3 29 79.0 2.1 1.5 8177
60616 62.3 12.2 46 48.0 3.4 0.6 8212
60632 4.4 5.6 23 71.5 8.0 0.3 11230
60609 46.2 21.8 4 73.1 2.6 1.3 8330
60653 99.7 21.6 31 65.0 0.5 0.9 5583
60615 73.5 9.0 39 75.4 2.7 0.4 8564
60638 10.7 3.6 15 20.8 9.1 0.0 12102
60629 1.5 5.0 32 61.8 11.6 0.0 11876
60636 48.8 28.6 27 78.1 4.0 1.4 9742
60621 98.9 17.4 32 68.6 1.7 2.2 7520
60637 90.6 11.3 34 73.4 1.9 0.8 7388
60652 1.4 3.4 17 2.0 12.9 0.0 13842
60620 71.2 11.9 46 57.0 4.8 0.9 11040
60619 94.1 10.5 42 55.9 6.6 0.9 10332
60649 66.1 10.7 43 67.5 3.1 0.4 10908
60617 36.4 10.8 34 58.0 7.8 0.9 11156
60655 1.0 4.8 19 15.2 13.0 0.0 13323
60643 42.5 10.4 25 40.8 10.2 0.5 12960
60628 35.1 15.6 28 57.8 7.5 1.0 11260
60627 47.4 7.0 3 11.4 7.7 0.2 10080
60633 34.0 7.1 23 49.2 11.6 0.3 11428
60645 3.1 4.9 27 46.6 10.9 0.0 13731

Suppose one gallon of gasoline produces 1.1 × 10⁸ J of energy, and this energy is sufficient to operate a car for twenty miles. If a 309 mg drop of gasoline could be converted completely into thermal energy, how many miles could the car go with that energy?

The distance between major cracks in a highway follows an exponential distribution with a mean of 21 miles. Given that there are no cracks in the first five miles inspected, what is the probability that there is no major crack in the next 5 mile stretch? Please enter the answer to 3 decimal places.