Practice Assignment 2 The data set gives the weight (in lbs) and levels of LDL cholesterol (in mg/dl)

Practice Assignment 2

The data set gives the weight (in lbs) and levels of LDL cholesterol (in mg/dl) measurements collected from 30 men as part of their annual physicals. A value of <130 mg/dl would be considered normal. None of these men had previously been assessed for heart disease. You may assume that the data are normally distributed.

Produce a scatter plot and comment on the relationship between weight and levels of cholesterol?
Determine if there is any evidence of a relationship between weight and cholesterol levels of men. Assume all assumptions are met. Please use the appropriate hypotheses tests. Based on your results what would you conclude clinically from this set of data and what would you tell patients?
What is the coefficient of determination for this data, and what does this tell us?

2. The fasting plasma total LDL cholesterol levels (mg/dl) were measured for 60 men aged 45 to 70 years when they entered a cardiovascular rehabilitation program that consisted of a diet and exercise program. A value of <130 mg/dl would be considered normal. At 6 months, their fasting plasma total cholesterol levels were again measured. We can assume that the assumptions have been met.

Create a scatter plot to visualize the data and comment on what it is showing you. Use Pearson’s correlation coefficient to determine if a relationship exists between cholesterol levels at the two measurement times. State the appropriate hypotheses. Assume all assumptions are met. Use a scatter plot to help you interpret the data.
Calculate a least-squares regression line for the above data.
Use the relationship between the men’s initial and post follow-up total LDL cholesterol levels to predict the most likely follow-up total cholesterol level for a 65 year old man who has a baseline total cholesterol level of:

d) Please comment on what you would report back to the men who participated in this rehabilitation program about your results. Also comment on the variables that could provide an explanation for your findings.

3. A group of anesthesiologists wanted to study the effects of age on the duration of epidural anesthesia in a group of 10 female surgical patients aged 40 to 80 years undergoing a hysterectomy procedure. Blood samples were collected at set time intervals after administration of the epidural, and the rate of total plasma clearance (expressed in ml/min) was calculated for each patient. You were asked analyze this data and predict what the most likely plasma clearance would be based on the following ages . (2 marks)

45 years (.5 mark)

II) 78 years (.5 mark)

iii) What would you provide as an explanation of your results to the physicians? (1 mark)

Data for Question One:

Weight	Cholesterol
168.00 175.00 200.00 178.00 180.00 214.00 176.00 262.00 181.00 160.00 155.00 172.00 163.00 164.00 200.00 177.00 165.00 164.00 139.00 142.00 250.00 243.00 162.00 171.00 203.00 204.00 189.00 159.00 169.00 140.00	135.00 124.00 250.00 139.00 135.00 222.00 140.00 156.00 160.00 128.00 125.00 140.00 143.00 130.00 150.00 156.00 125.00 124.00 100.00 102.00 200.00 198.00 125.00 100.00 175.00 160.00 215.00 105.00 108.00 99.00

Data for Question Two:

Baseline levels	Post levels
150.00 186.00 130.00 200.00 168.00 205.00 140.00 135.00 192.00 160.00 215.00 122.00 159.00 179.00 143.00 154.00 172.00 147.00 164.00 157.00 200.00 150.00 146.00 140.00 146.00 155.00 160.00 167.00 139.00 149.00	130.00 135.00 120.00 137.00 168.00 150.00 130.00 100.00 140.00 135.00 150.00 99.00 102.00 125.00 108.00 128.00 150.00 130.00 125.00 120.00 150.00 130.00 125.00 128.00 122.00 129.00 145.00 140.00 130.00 123.00

Data for Question Three :

Plasma level	Age in years
610.00 510.00 400.00 450.00 420.00 300.00 370.00 405.00 280.00 320.00	41.00 45.00 55.00 60.00 52.00 76.00 80.00 57.00 69.00 59.00