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 year old male. Let x*=75.

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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3:48 PM Thu Apr 22
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く Q 口
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Untitled Notebook (1)
Stats
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
b) Calculatc least rear~.
Test whether there :.
s ear relationsnp vetwa -
-0.05
d) Construct a 95% Confidence Interval for the slope of the
regression line
Transcribed Image Text:3:48 PM Thu Apr 22 全70% く Q 口 Apple Pencil •.. 100% Untitled Notebook (1) Stats 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 b) Calculatc least rear~. Test whether there :. s ear relationsnp vetwa - -0.05 d) Construct a 95% Confidence Interval for the slope of the regression line
3:48 PM Thu Apr 22
全70%
く Q 口
Stats
•..
Untitled Notebook (1)
Stats
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 year old male. Let x*=75.
2. As concrete cures it gains strength. The following data
spresents the 7 day and 28 day strength (in pounds per square
jnch) of a certain type of çoncrete.
Day trength, x 28 Day Strength, y
2300
3390
2-30
289
3330
2480
4070
5220
4640
4620
4850
4120
3320
5020
2660
4890
2620
4190
3340
4630
a) Calculate r
b) Calculate the least regression line
) Test whether there is a linear relationsh p between 7-day
strength and 28-day strength. Let a-0.05
d) Constiuct a 95% Confidence Interva for the siope of the
74 of 87
Transcribed Image Text:3:48 PM Thu Apr 22 全70% く Q 口 Stats •.. Untitled Notebook (1) Stats 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 year old male. Let x*=75. 2. As concrete cures it gains strength. The following data spresents the 7 day and 28 day strength (in pounds per square jnch) of a certain type of çoncrete. Day trength, x 28 Day Strength, y 2300 3390 2-30 289 3330 2480 4070 5220 4640 4620 4850 4120 3320 5020 2660 4890 2620 4190 3340 4630 a) Calculate r b) Calculate the least regression line ) Test whether there is a linear relationsh p between 7-day strength and 28-day strength. Let a-0.05 d) Constiuct a 95% Confidence Interva for the siope of the 74 of 87
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