In: Economics
Researchers conducted a study on how the number of powerboats registration may affect the number of manatees killed between year of 1977 and 1990. The data set is contained in the file boat.xlsx. Use Excel to open the data set. The first column is the year, the second column is the number of powerboats registration (in thousand), and the third column is the number of manatees killed.
1) From the research objective, determine which variable is explanatory and which variable is response.
2) Use Excel to sketch a scatter plot and find the correlation coefficient and copy the plot to your work. Do you think this is a strong correlation?
3) Use Excel to find the least square regression line and the coefficient of determination. Make inference on the y-intercept and the slope in the context of the problem.
4) Find the residual for the year of 1984. Show the work.
5) Predict the number of manatees killed if the number of powerboats registration is 600(thousand). Show the work.
| year | powerboats | manatees killed |
| 1977 | 447 | 13 |
| 1978 | 460 | 21 |
| 1979 | 481 | 24 |
| 1980 | 498 | 16 |
| 1981 | 513 | 24 |
| 1982 | 512 | 20 |
| 1983 | 526 | 15 |
| 1984 | 559 | 34 |
| 1985 | 585 | 33 |
| 1986 | 614 | 33 |
| 1987 | 645 | 39 |
| 1988 | 675 | 43 |
| 1989 | 711 | 50 |
| 1990 | 719 | 47 |
In: Statistics and Probability
Let S = {1,2,3,...,10}.
a. Find the number of subsets of S that contain the number 5.
b. Find the number of subsets of S that contain neither 5 nor 6.
c. Find the number of subsets of S that contain both 5 and 6.
d. Find the number of subsets of S that contain no odd numbers.
e. Find the number of subsets of S that contain exactly three elements.
f. Find the number of subsets of S that contain exactly three elements, one of which is 3.
g. Find the number of subsets of S that contain exactly five elements, all of them even.
h. Find the number of subsets of S with exactly five elements, including 3 or 4 but not both.
In: Advanced Math
Let P1 = number of Product 1 to be produced
P2 = number of Product 2 to be produced
P3 = number of Product 3 to be produced
P4 = number of Product 4 to be produced
Maximize 15P1 + 20P2 + 24P3 + 15P4 Total profit
Subject to
8P1 + 12P2 + 10P3 + 8P4 ≤ 3000 Material requirement constraint
4P1 + 3P2 + 2P3 + 3P4 ≤ 1000 Labor hours constraint
P2 > 120 Minimum quantity needed for Product 2 constraint
And P1, P2, P3, P4 ≥ 0 Non-negativity constraints.
(a) Determine the optimal solution and the optimal value and interpret their meanings.
(b) Determine the slack (or surplus) value for each constraint and interpret its meaning.
Solve without using Microsoft Excel
In: Statistics and Probability
1. For an electron, the number of values the spin quantum number Ms can take on is; Three, four, one, two?
2. what is the threshold energy for the production of an proton-antiproton pair? Emin= MeV
In: Chemistry
Let x be the number of different research programs, and let y be the mean number of patents per program. As in any business, a company can spread itself too thin. For example, too many research programs might lead to a decline in overall research productivity. The following data are for a collection of pharmaceutical companies and their research programs.
| x | 10 | 12 | 14 | 16 | 18 | 20 |
| y | 1.9 | 1.4 | 1.6 | 1.4 | 1.0 | 0.7 |
Complete parts (a) through (e), given Σx = 90, Σy = 8, Σx2 = 1420, Σy2 = 11.58, Σxy = 112.6, and
r ≈ −0.925.
(a) Draw a scatter diagram displaying the data.
(b) Verify the given sums Σx, Σy,
Σx2, Σy2, Σxy, and
the value of the sample correlation coefficient r. (Round
your value for r to three decimal places.)
| Σx = | |
| Σy = | |
| Σx2 = | |
| Σy2 = | |
| Σxy = | |
| r = |
(c) Find x, and y. Then find the equation of the
least-squares line = a + bx. (Round
your answers for x and y to two decimal places.
Round your answers for a and b to three decimal
places.)
| x | = | |
| y | = | |
| = | + x |
(d) Graph the least-squares line. Be sure to plot the point
(x, y) as a point on the line.
(e) Find the value of the coefficient of determination
r2. What percentage of the variation in
y can be explained by the corresponding variation
in x and the least-squares line? What percentage is
unexplained? (Round your answer for r2
to three decimal places. Round your answers for the percentages to
one decimal place.)
| r2 = | |
| explained | % |
| unexplained | % |
(f) Suppose a pharmaceutical company has 13 different research
programs. What does the least-squares equation forecast for
y = mean number of patents per program? (Round your answer
to two decimal places.)
patents per program
In: Statistics and Probability
4 Calculating the Number of Periods For each scenario, calculate the number of periods required to reach the given future value:
|
Present Value |
Periods |
Interest Rate |
Future Value |
|
$560 |
6% |
$1,389 |
|
|
$810 |
9% |
$1,821 |
|
|
$18,400 |
11% |
$289,715 |
|
|
$21,500 |
13% |
$430,258 |
In: Finance
This is a 5 number summary for the number of children born.
| min | 1st Qart | Median | Mean | 3rd Quar | Max |
|---|---|---|---|---|---|
| 0.00 | 1.00 | 3.00 | 3.261 | 4.00 | 16.00 |
Explain why it would be inappropriate to conduct a chi square test for contraceptive method and number of children ever born. Hint look at the output for the following R command (table(dat3$contrMethod, dat3$noKids))
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 16 | |
| 1 | 95 | 143 | 114 | 70 | 57 | 44 | 35 | 18 | 29 | 5 | 9 | 6 | 4 | 0 | 0 |
| 2 | 0 | 46 | 56 | 70 | 62 | 36 | 27 | 19 | 9 | 3 | 2 | 2 | 0 | 1 | 0 |
| 3 | 2 | 87 | 106 | 119 | 78 | 55 | 30 | 12 | 9 | 8 | 0 | 3 | 0 | 1 | 1 |
In: Statistics and Probability
Neutropenia is an abnormally low number of neutrophils in the blood. Chemotherapy often reduces the number of neutrphils to a level that makes patients susceptible to fever and infections. G. Bucaneve et al. published a study of such cancer patients in the paper "Levofloxacin to Prevent Bacterial Infection in Patients With Cancer and Neutropenia" (New England Journal of Medicine, Vol. 353, No. 10, pp. 977-987). For the study, 375 patients were randomly assigned to receive a daily dose of levofloxacin, and 363 were given a placebo. In the group receiving levofloxacin, fever was present in 243 patients for the duration of neutropenia, whereas fever was experienced by 308 patients in the placebo group. (Source: Elementary Statistics, Weiss, 8th Edition)
Calculate the margin of error for a 95% confidence interval for the difference in the proportion of patients with fever between patients taking levofloxacin and those not taking anything while suffering from neutropenia. (round proportions to hundredths place, round the critical value to the hundredths place, the standard error to the thousandths place , and the margin of error to the thousandths place)
In: Statistics and Probability
Question 1:
On a disk with 1000 cylinders, number 0 to 999, compute the number of tracks the disk arm must move to satisfy all the requests in the disk queue. Assume the last request serviced was at track 345 and the head is moving toward track 0. The queue in FIFO order contains requests for the following tracks: 123, 847, 692, 475, 105, 376.
Perform the computations for the following disk scheduling algorithms:
a) FCFS
b) SSTF
c) SCAN - Increasing Track
d) C-SCAN - increasing Track
e) LOOK - increasing Track
Question 2:
Considering a system with five processes P0 through P4 and three resources of type A, B, C. Resource type A has 10 instances, B has 5 instances and type C has 7 instances. Suppose at time t0 following snapshot of the system has been taken:
a) What will be the content of the Need matrix?
b) Is the system in a safe state? If Yes, then what is the safe sequence?
In: Computer Science