STA 2023 EC Regression 1. A doctor wanted to determine whether there is a relation between a males age and his HDL cholesterol. He randomly selected 17 of his patients and determined their HDL levels. He obtained the following data. Age, x HDL, y 38 57 42 54 46 34 32 56 55 35 52 40 61 42 61 38 26 47 38 44 66 62 30 53 51 36 27 45 52 38 49 55 39 28 a) Calculate r b) Calculate the least regression line c) Test whether there is a linear relationship between age and HDL. Let a=0.05

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1:28 PM Wed Apr 21
* 76%
88 Q
Stats Exam
•..
Untitled Notebook (1)
Stats Exam
STA 2023 EC Regression
1. A doctor wanted to determine whether there is a relation
between a males age and his HDL cholesterol. He randomly
selected 17 of his patients and determined their HDL levels. He
obtained the following data.
Age, x HDL, y
38
57
42
54
46
34
32
56
55
35
52
40
61
42
61
38
26
47
38
44
66
62
30
53
51
36
27
45
52
38
49
55
39
28
a) Calculate r
b) Calculate the least regression line
c) Test whether there is a linear relationship between age and
HDL. Let a=0.05
d) Construct a 95% Confidence Interval for the slope of the
regression line
|
Transcribed Image Text:1:28 PM Wed Apr 21 * 76% 88 Q Stats Exam •.. Untitled Notebook (1) Stats Exam STA 2023 EC Regression 1. A doctor wanted to determine whether there is a relation between a males age and his HDL cholesterol. He randomly selected 17 of his patients and determined their HDL levels. He obtained the following data. Age, x HDL, y 38 57 42 54 46 34 32 56 55 35 52 40 61 42 61 38 26 47 38 44 66 62 30 53 51 36 27 45 52 38 49 55 39 28 a) Calculate r b) Calculate the least regression line c) Test whether there is a linear relationship between age and HDL. Let a=0.05 d) Construct a 95% Confidence Interval for the slope of the regression line |
1:28 PM Wed Apr 21
* 75%
88 Q
Stats Exam
•..
Untitled Notebook (1)
Stats Exam
e) Construct a 95% Confidence Interval for the predicted mean
age for a 75 year old male. Let x*=75
f) Construct a 95% Prediction Interval for the predicted age for a
75 old male. Let x*=75.
year
2. As concrete cures it gains strength. The following data
represents the 7 day and 28 day strength (in pounds per square
inch) of a certain type of concrete.
7 Day Strength, x 28 Day Strength, y
2300
4070
3390
5220
2430
4640
2890
4620
3330
4850
2480
4120
3380
5020
2660
4890
2620
4190
3340
4630
a) Calculate r
b) Calculate the least regression line
c) Test whether there is a linear relationship between 7-day
strength and 28-day strength. Let a=0.05
d) Construct a 95% Confidence Interval for the slope of the
Transcribed Image Text:1:28 PM Wed Apr 21 * 75% 88 Q Stats Exam •.. Untitled Notebook (1) Stats Exam e) Construct a 95% Confidence Interval for the predicted mean age for a 75 year old male. Let x*=75 f) Construct a 95% Prediction Interval for the predicted age for a 75 old male. Let x*=75. year 2. As concrete cures it gains strength. The following data represents the 7 day and 28 day strength (in pounds per square inch) of a certain type of concrete. 7 Day Strength, x 28 Day Strength, y 2300 4070 3390 5220 2430 4640 2890 4620 3330 4850 2480 4120 3380 5020 2660 4890 2620 4190 3340 4630 a) Calculate r b) Calculate the least regression line c) Test whether there is a linear relationship between 7-day strength and 28-day strength. Let a=0.05 d) Construct a 95% Confidence Interval for the slope of the
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