Question

In: Statistics and Probability

Any medical item used in the care of hospital patients is called a fac­tor. For example,...

Any medical item used in the care of hospital patients is called a fac­tor. For example, factors can be intravenous tubing, intravenous fluid, needles, shave kits, bedpans, dia­pers, dressings, medications, and even code carts.

The coronary care unit at Bayonet Point Hospital (St. Petersburg, Florida) investigated the relation­ship between the number of factors per patient, x, and the patient's length of stay (in days), y. The data for a random sample of 50 coronary care patients are given in the Excel tab named Q3 FACTORS.

LOS FACTORS
9 231
7 323
8 113
5 208
4 162
4 117
6 159
9 169
6 55
3 77
4 103
6 147
6 230
3 78
9 525
7 121
5 248
8 233
4 260
7 224
12 472
8 220
6 383
9 301
7 262
11 354
7 142
9 286
10 341
5 201
11 158
6 243
6 156
7 184
4 115
6 202
5 206
6 360
3 84
9 331
7 302
2 60
2 110
5 131
4 364
7 180
6 134
15 401
4 155
8 338
  1. Construct a scatterplot of the data.
  2. Find the least squares line for the data and plot it on your scatterplot.
  3. Define β1 in the context of this problem.
  4. Test the hypothesis that the number of factors per patient (x) contributes no information for the prediction of the patient's length of stay (y) when a linear model is used (use α=.05). Draw the appropriate conclusions.
  5. Find a 95% confidence interval for β1. Interpret your results.
  6. Find the coefficient of correlation for the data. Interpret your results.
  7. Find the coefficient of determination for the lin­ear model you constructed in part b. Interpret your result.
  8. Find a 95% prediction interval for the length of stay of a coronary care patient who is adminis­tered a total of x = 231 factors.
  9. Explain why the prediction interval obtained in part h is so wide. How could you reduce the width of the interval?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Any medical item used in the care of hospital patients is called a factor. For example,...
Any medical item used in the care of hospital patients is called a factor. For example, factors can be intravenous tubing, intravenous fluid, needles, shave kits, bedpans, diapers, dressings, medications, and even code carts. The coronary care unit at Bayonet Point Hospital (St. Petersburg, Florida) investigated the relationship between the number of factors per patient, x, and the patient’s length of stay (in days), y. The data for a random sample of 50 coronary care patients are saved in FACTORS...
Hospital emergency departments continue to be used as important sources of primary medical care by large...
Hospital emergency departments continue to be used as important sources of primary medical care by large numbers of medically underserved populations. What are the implications of this for the patients, on healthcare costs, and quality of care? Suggest possible solutions to this situation.
A physician is called to the intensive care unit at the local hospital to care for...
A physician is called to the intensive care unit at the local hospital to care for Joe West, a patient in coronary crisis. The physician spends an hour at the patient's bedside, stabilizing him. CPT code    __________ The physician is preparing to leave the hospital after seeing Joe West but is called back into the intensive care unit to see and stabilize another patient, Ted Keel. The service to the patient takes 1 1/2 hours CPT code      ____________________ An established...
(Operations) The hospital has completed a medical operation for 48 patients and 37 of these have...
(Operations) The hospital has completed a medical operation for 48 patients and 37 of these have been successful. Suppose that each operation succeeds with an unknown probability p and that the successes of the different operations are independent of each other. (a) Determine the conservative intermediate estimate (lecture note, formula (8.5)) for the probability of an operation using a 90% confidence level. (b) How many operations should be performed to make the above-mentioned intermediate estimate width would get five percentage...
Linda Stevens, LPN, works on a medical floor at the local hospital. One of the patients...
Linda Stevens, LPN, works on a medical floor at the local hospital. One of the patients she has been assigned to take care of is Frank Gibbons, a 72-year-old newly diagnosed with diabetes (a condition in which the body does not produce enough insulin to control blood sugar levels). Part of Linda’s process of preparing to care for her patients is to review the patients’ charts for any new physician orders. She notes that Dr. Romero was in the previous...
A hospital is an acute care short-term stay and emergency medical center that also includes medical...
A hospital is an acute care short-term stay and emergency medical center that also includes medical departments such as, surgical, obstetrics, infectious disease, radiology, laboratory and mental health. Scenario You are the administrator of a medium-sized hospital. The Director of Human Resources has been summoned to an executive team meeting in an effort determine why an unusual number of nursing staff leaving for other employment. During the discussions, the Director of Nursing provides her thoughts re- garding why the nurses...
list 100 example of capital used in hospital?
list 100 example of capital used in hospital?
You are the manager of a medical-surgical unit in a not-for-profit, acute care hospital that is...
You are the manager of a medical-surgical unit in a not-for-profit, acute care hospital that is part of a nine-hospital healthcare system. During the budget preparation process for the upcoming fiscal year, the healthcare system leadership mandated 5% cost reductions from the previous fiscal year budget. Labor costs must be evaluated thoroughly for potential cost savings. You strongly feel eliminating nursing positions is not appropriate in this budget reduction initiative. Discuss at least 3 factors you can use to justify...
Managing the flow of patients and bed capacity is challenging for any hospital, especially for unscheduled...
Managing the flow of patients and bed capacity is challenging for any hospital, especially for unscheduled admissions. For Zed Medical Center, a large regional referral center in the South and a member of the University HealthSystem Consortium, the challenge is even greater. As the flagship hospital for a multihospital system with more than 750 licensed beds and a Level 1 trauma center with 50-plus trauma beds, approximately 70% of annual admissions are unscheduled. The Assistant Vice-President for Operations has a...
According to Reader's Digest, 43% of primary care doctors think their patients receive unnecessary medical care....
According to Reader's Digest, 43% of primary care doctors think their patients receive unnecessary medical care. a. Suppose a sample of 370 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. Use z-table. E(p) = ơp = (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion. Round your answer to four decimals. c. What is...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT