A study wants to look at the correlation between sugar consumption and the development of cavities. The table below shows the average daily intake of sugar (g) and the total number of cavities per patient over the one-year study period.
Daily Sugar Intake / Number of Cavities
(X) (Y)
30 2
40 3
150 3
90 0
75 1
25 1
110 4
4. What is the sample correlation coefficient given Σ(??−?̅)27?=1=12821.4, Σ(??−?̅)27?=1=12, and Σ(?−?̅)(?−?̅)=130?
a. 0.33 b. 0.70 c. 0.87 d. -0.45
5. What type of correlation does this represent?
a. Strong positive b. Strong inverse c. Weak positive d. Weak inverse
The investigator wants to construct a regression equation based on his current sample to be able to predict the number of cavities that a patient develops based only on their sugar intake given the standard deviation for the daily sugar intake is 43.25 and the standard deviation for the number of cavities is 1.41.
6. What is the slope of the line (i.e. what is b1)? a. 0.87 b. 0.01 c. 1.41 d. 0.50
7. What is the y-intercept (i.e. what is b0)? a. 1.26 b. 0.50 c. 0.01 d. 1.15
8. What is the predicted number of cavities for someone who consumes on average 45 grams of sugar a day?
In: Statistics and Probability
Q1. ( 50 marks) please match word count to get a thumbs up
a. What is franchising? (150 words)
b. Analyze some industries in Dubai where franchising is expected to grow ( 220 word)
c. Why is pricing important for small businesses? ( 160 word)
In: Operations Management
Payroll Register
The following data for Throwback Industries Inc. relate to the payroll for the week ended December 9, 20Y8:
| Hours | Hourly | Weekly | Federal | Retirements | ||||||
| Employee | Worked | Rate | Salary | Income Tax | Savings | |||||
| Aaron | 45 | $46 | $502.55 | $105 | ||||||
| Cobb | 42 | 32 | 295.84 | 45 | ||||||
| Clemente | 41 | 24 | 189.24 | 90 | ||||||
| DiMaggio | 37 | 34 | 264.18 | 85 | ||||||
| Griffey, Jr. | 44 | 42 | 405.72 | 40 | ||||||
| Mantle | $2,280 | 547.20 | 75 | |||||||
| Robinson | 35 | 36 | 189.00 | 35 | ||||||
| Williams | 2,550 | 561.00 | 80 | |||||||
| Vaughn | 48 | 28 | 291.20 | 35 | ||||||
Employees Mantle and Williams are office staff, and all of the other employees are sales personnel. All sales personnel are paid 1½ times the regular rate for all hours in excess of 40 hours per week. The social security tax rate is 6%, and Medicare tax is 1.5% of each employee's annual earnings. The next payroll check to be used is No. 901.
Required:
1. Prepare a payroll register for Throwback Industries Inc. for the week ended December 9, 20Y8. Assume the normal working hours in a week are 40 hours. Enter amounts as positive numbers. Round your intermediate calculations and final answers to the nearest whole cent (two decimal places).
| Payroll for Week Ending December 9, 20Y8 | |||||||||||||
| Earnings | Deductions Withheld | Paid | Accounts Debited | ||||||||||
Name |
Total Hours |
Regular |
Overtime |
Total |
Social Security Tax | Medicare Tax |
Federal Income Tax |
Retirement Savings |
Total |
Net Pay |
Ck. No. |
Sales Salaries Expense |
Office Salaries Expense |
| Aaron | 45 | $ | $ | $ | $ | $ | $502.55 | $105 | $ | $ | 901 | $ | |
| Cobb | 42 | 295.84 | 45 | 902 | |||||||||
| Clemente | 41 | 189.24 | 90 | 903 | |||||||||
| DiMaggio | 37 | 264.18 | 85 | 904 | |||||||||
| Griffey, Jr. | 44 | 405.72 | 40 | 905 | |||||||||
| Mantle | 547.20 | 75 | 906 | $ | |||||||||
| Robinson | 35 | 189.00 | 35 | 907 | |||||||||
| Williams | 561.00 | 80 | 908 | ||||||||||
| Vaughn | 48 | 291.20 | 35 | 909 | |||||||||
| Totals | $ | $ | $ | $ | $ | $ | $ | $ | $ | $ | $ | ||
2. Journalize the entry to record the payroll for the week. If required, round your answers to two decimal places. If an amount box does not require an entry, leave it blank.
In: Accounting
You are a human resources manager. Due to an economic down turn, you are required to terminate two employees. You are asked to consider two employees in order to determine what their pay in lieu of notice (severance package will be). On review of the files, you find the following information:
Employee #1 – Paul
• Employed for 3 years
• Current position is vice-president with 20 employees reporting to him
• 40 years of age
• Has unique skills
Employee #2 – Mary
• Employed for 30 years
• Works as an administrative assistant
• 50 years of age
List two factors to consider in determining the severance package for each of Paul and Mary. Plus with respect to each employee indicate whether that factor will increase or decrease severance payable. ( Alberta, Canada)
In: Economics
A sample of 220 patients of a family medicine practice was
surveyed two weeks after their doctor's visit to ask them whether
the symptoms that prompted their visit improved, and whether they
complied with the physician's treatment plan. The following table
contains the results.
|
Symptoms improved |
Symptoms did not improve |
|
| Complied |
100 |
40 |
| Did not comply |
30 |
50 |
Is there a relationship between the two variables?
| a. |
There is no relationship between the variables, because the probabilities sum up to 1. |
|
| b. |
There is a relationship between the variables, as the column percentages are not the same. |
|
| c. |
There is a relationship between the variables because the number of patients that improved and complied with the treatment plan is greater than the number that complied and did not improve. |
|
| d. |
We need additional information to determine if there is a relationship between those two variables. |
In: Statistics and Probability
Debt Corporation is financed with 50 percent debt, while equity Corporation has the same amount of total assets, but is financed entirely with equity. Both Corporation have a marginal tax rate of 40 percent. Which of the following statements is most correct.
If the two corporations have the same return on assets, Equity Corporation will have a higher return on equity.
If the two corporations have the same basic earning power (BEP), Equity Corporation will have a higher return on assets.
If the two corporations have the same level of sales and basic earning power, Equity Corporations will have a lower net profit margin.
All of the answers above are correct.
None of the answers above are correct.
Can you also explain why?
In: Finance
WG Investors is looking at three different investment opportunities. Investment one is a five-year investment with a cost of $400 and a promised payout of $800 at maturity. Investment two is a seven-year investment with a cost of $400 and a promised payout of $1,040. Investment three is a ten-year investment with a cost of $400 and a promised payout of $1,960. WG Investors can take on only one of the three investments. Assuming that all three investment opportunities have the same level of risk, calculate the effective annual return for each investment, and select the best investment choice.
What is the effective annual return for investment one, a five-year investment with a cost of $400 and a promised payout of $800 at maturity?
In: Finance
WG Investors is looking at three different investment opportunities. Investment one is a five-year investment with a cost of
$260 and a promised payout of $520 at maturity. Investment two is a seven-year investment with a cost of $260 and a promised payout of
$702. Investment three is a ten-year investment with a cost of $260 and a promised payout of $1,196.
WG Investors can take on only one of the three investments. Assuming that all three investment opportunities have the same level of risk, calculate the effective annual return for each investment, and select the best investment choice.
What is the effective annual return for investment one, a five-year investment with a cost of $260 and a promised payout of $520 at maturity?
In: Finance
The following time series shows the sales of a particular product over the past 12 months.
| Month | Sales |
|---|---|
| 1 | 105 |
| 2 | 135 |
| 3 | 120 |
| 4 | 105 |
| 5 | 90 |
| 6 | 120 |
| 7 | 145 |
| 8 | 140 |
| 9 | 100 |
| 10 | 80 |
| 11 | 100 |
| 12 | 110 |
Use α = 0.5 to compute the exponential smoothing forecasts for the time series. (Round your answers to two decimal places.)
| Month t | Time Series Value
Yt |
Forecast
Ft |
|---|---|---|
| 1 | 105 | |
| 2 | 135 | |
| 3 | 120 | |
| 4 | 105 | |
| 5 | 90 | |
| 6 | 120 | |
| 7 | 145 | |
| 8 | 140 | |
| 9 | 100 | |
| 10 | 80 | |
| 11 | 100 | |
| 12 | 110 |
Use a smoothing constant of α = 0.7 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.)
| Month t | Time Series Value
Yt |
Forecast
Ft |
|---|---|---|
| 1 | 105 | |
| 2 | 135 | |
| 3 | 120 | |
| 4 | 105 | |
| 5 | 90 | |
| 6 | 120 | |
| 7 | 145 | |
| 8 | 140 | |
| 9 | 100 | |
| 10 | 80 | |
| 11 | 100 | |
| 12 | 110 |
| Week | Sales (1,000s of gallons) |
|---|---|
| 1 | 17 |
| 2 | 22 |
| 3 | 19 |
| 4 | 24 |
| 5 | 19 |
| 6 | 16 |
| 7 | 21 |
| 8 | 19 |
| 9 | 23 |
| 10 | 20 |
| 11 | 16 |
| 12 | 22 |
(a) Compute four-week and five-week moving averages for the time series.
| Week | Time Series Value |
4-Week Moving Average Forecast |
5-Week Moving Average Forecast |
|---|---|---|---|
| 1 | 17 | ||
| 2 | 22 | ||
| 3 | 19 | ||
| 4 | 24 | ||
| 5 | 19 | ||
| 6 | 16 | ||
| 7 | 21 | ||
| 8 | 19 | ||
| 9 | 23 | ||
| 10 | 20 | ||
| 11 | 16 | ||
| 12 | 22 |
Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.)
Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.)
In: Statistics and Probability
| Student |
|
|
Friends | ||
| 1 | Female | 9 | 100 | ||
| 2 | Female | 5 | 60 | ||
| 3 | Female | 2 | 50 | ||
| 4 | female | 12 | 110 | ||
| 5 | male | 4 | 50 | ||
| 6 | female | 2 | 80 | ||
| 7 | male | 10 | 450 | ||
| 8 | female | 7 | 90 | ||
| 9 | female | 2 | 30 | ||
| 10 | female | 4 | 150 | ||
| 11 | female | 12 | 380 | ||
| 12 | male | 7 | 120 | ||
| 13 | female | 6 | 80 | ||
| 14 | male | 3 | 200 | ||
| 15 | male | 8 | 430 | ||
| 16 | female | 7 | 170 | ||
| 17 | male | 4 | 90 | ||
| 18 | female | 6 | 240 | ||
| 19 | female | 4 | 280 | ||
| 20 | female | 2 | 30 | ||
| 21 | female | 10 | 400 | ||
For the Facebook data provided, find the range, variance, standard deviation, and interquartile range for hours online/week and number of friends in the sample using the appropriate Excel function. Compare these measures of location.Student Gender Hours online/week Friends 1 female 9 100 2 female 5 60 3 female 2 50 4 female 12 110 5 male 4 50 6 female 2 80 7 male 10 450 8 female 7 90 9 female 2 30 10 female 4 150 11 female 12 380 12 male 7 120 13 female 6 80 14 male 3 200 15 male 8 430 16 female 7 170 17 male 4 90 18 female 6 240 19 female 4 280 20 female 2 30 21 female 10 400
In: Statistics and Probability