2. An experiment was conducted by a physiologist to determine whether exercise improves the human immune...

90.2K

Verified Solution

Question

Basic Math

2. An experiment was conducted by a physiologist to determinewhether exercise improves the human immune system. Thirty subjectsvolunteered to participate in the study. The amount ofimmunoglobulin known as IgG (an indicator of long-term immunity)and the maximal oxygen uptake (a measure of aerobic fitness level)were recorded for each subject. The data can be found in the filemarked AEROBIC. You will need to use the Data Analysis - RegressionFunction for this problem, as well as some graphing functions.
a. Construct a scattergram for the IgG-maximal oxygen uptakedata.
b. Hypothesize a probabilistic model relating IgG to maximaloxygen uptake.
c. Fit the model to the data. Is there sufficient evidence toindicate that the model provides information for the prediction ofIgG, y? Test using Î± = .05.
d. Does a second-order term contribute information for theprediction of y? Test using Î± = .05.
Subject IgG Max Oxy
1 881 34.6
2 1290 45.0
3 2147 62.3
4 1909 58.9
5 1282 42.5
6 1530 44.3
7 2067 67.9
8 1982 58.5
9 1019 35.6
10 1651 49.6
11 752 33.0
12 1687 52.0
13 1782 61.4
14 1529 50.2
15 969 34.1
16 1660 52.5
17 2121 69.9
18 1382 38.8
19 1714 50.6
20 1959 69.4
21 1158 37.4
22 965 35.1
23 1456 43.0
24 1273 44.1
25 1418 49.8
26 1743 54.4
27 1997 68.5
28 2177 69.5
29 1965 63.0
30 1264 43.2

Answer & Explanation Solved by verified expert

4.4 Ratings (931 Votes)

1 Scatterplot is attached below2 From the scatter plot it looks like a linear model would fitthe dataThus we hypothesize the following modelyi a b xiei where yi is the ithamount See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member

Subject	IgG	Max Oxy
1	881	34.6
2	1290	45.0
3	2147	62.3
4	1909	58.9
5	1282	42.5
6	1530	44.3
7	2067	67.9
8	1982	58.5
9	1019	35.6
10	1651	49.6
11	752	33.0
12	1687	52.0
13	1782	61.4
14	1529	50.2
15	969	34.1
16	1660	52.5
17	2121	69.9
18	1382	38.8
19	1714	50.6
20	1959	69.4
21	1158	37.4
22	965	35.1
23	1456	43.0
24	1273	44.1
25	1418	49.8
26	1743	54.4
27	1997	68.5
28	2177	69.5
29	1965	63.0
30	1264	43.2