Question
In: Math
Given the following relationship: Shoe Size | Height (inches) 7.5 66 8 67 8 68 10...
Given the following relationship:
Shoe Size | Height (inches)
7.5 66
8 67
8 68
10 71
10.5 70
11 73
a) Letting the variable x represent shoe size and y represent height, determine the least squares regression line and correlation coefficent.
b) Based on the correlation coefficient calculated above, can the least squares regression line be confidently used as a predictor of height? Why or Why not?
Please help show work.
Solutions
milcah answered 9 months agoRelated Solutions
Given the following relationship: Shoe Size | Height (inches) 7.5 | 66 8 | 67 8...
Given the following relationship:
Shoe Size | Height
(inches)
7.5 | 66
8 | 67
8 | 68
10 | 71
10.5 | 70
11 | 73
a) Letting the variable x represent shoe size and y represent
height, determine the least squares regression line and correlation
coefficent.
b) Based on the correlation coefficient calculated above, can
the least squares regression line be confidently used as a
predictor of height? Why or Why not?
SHow the work detailed. Thank you
SEX AGE FOOT LENGTH SHOE PRINT SHOE SIZE HEIGHT M 67 27.8 31.3 11.0 180.3 M ...
SEX AGE FOOT LENGTH SHOE
PRINT SHOE SIZE HEIGHT
M 67 27.8 31.3
11.0 180.3
M 47 25.7 29.7
9.0 175.3
M 41 26.7 31.3
11.0 184.8
M 42 25.9 31.8
10.0 177.8
M 48 26.4 31.4
10.0 182.3
M 34 29.2 31.9
13.0 185.4
M 26 26.8 31.8
11.0 180.3
M 29 28.1 31.0
10.5 175.3
M 60 25.4 29.7
9.5 177.8
M 48 27.9 31.4
11.0 185.4
M 30 27.5 31.4
11.0 190.5
M 43 28.8 31.6
12.0 ...
the average height of a man is 67 inches with a standard deviation of 1.5 inches....
the average height of a man is 67 inches with a standard
deviation of 1.5 inches.
A) what is the probability of selecting a man that is taller
than 65.5 inches?
B) what is the probability of selecting a man that has a height
that is between 64 and 65.5 inches?
C) what is the probability of selecting a man that is shorter
than 64 inches?
Height Weight Age Shoe Size Waist Size Pocket Change 64 180 39 7 36 18 66...
Height
Weight
Age
Shoe Size
Waist Size
Pocket Change
64
180
39
7
36
18
66
140
31
9
30
125
69
130
31
9
25
151
63
125
36
7
25
11
68
155
24
8
31
151
62
129
42
6
32
214
63
173
30
8
34
138
60
102
26
6
25
67
66
180
33
8
30
285
66
130
31
9
30
50
63
125
32
8
26
32
68
145
33
10
28...
X | 65 67 62 68 66 69 61 67 64 69 Y | 110 105...
X | 65 67 62 68 66 69 61 67 64 69
Y | 110 105 113 107 109 111 104 110 116 115
A)Given the paired data set above of Super Models heights and
weights, then Determine the Line of Regression.
B)Calculate the Coefficient of Correlation for the data set
C) Using the Line of Regression from the data set, predict the
weight of a Model who is 69 inches tall.
D) Using the data set construct a Scatter...
Shoe Size 12 6 11 13 8 9 8 8 9 9 11 5 10 8...
Shoe Size
12
6
11
13
8
9
8
8
9
9
11
5
10
8
7
7
11
9
9
9
12
8
8
8
12
9
11
8
11
8
13
5
9
8
11
We need to find the confidence interval for the SHOE SIZE
variable. To do this, we need to find the mean and standard
deviation with the Week 1 spreadsheet. Then we can the Week 5
spreadsheet to find the confidence interval. This does...
5. A Gulfstream Jet has a doorway height of 67 inches. If men have a mean...
5. A Gulfstream Jet has a doorway height of 67 inches. If men
have a mean height of 70.5 inches with a standard deviation of 2.9
inches and women have a mean height of 66.5 inches with a standard
deviation of 2.6 inches, what percentage of men and women can fit
through the door without bending over?
A survey asked people for their height in inches. Their responses were: 60, 74, 66, 70,...
A survey asked people for their height in inches. Their
responses were: 60, 74, 66, 70, 58, 63, 67, 71, 76, 65, 75, 72, 68,
65, 64, 68, 70, 72, 71, 64, 59, 77, 66, 65
a. Calculate the measures of central tendency
b. Give the five number summary of this data.
c. What is the range?
d. What is the standard deviation rounded to the nearest whole
number?
Height of 18-year-old male are normally distributed with a mean of 68 inches and a standard...
Height of 18-year-old male are
normally distributed with a mean of 68 inches and a standard
deviation of 3 inches. If a random sample of nine 18-year-old males
are selected, what is the probability that the mean height
x of the random sample of 9 is greater than 69 inches?
We are studying the relationship of age in years and height in inches for children of...
We are studying the relationship of age in years and height in
inches for children of ages from 2 - 10. We have a sample of five
children. It is a linear relationship, so please find:
(a) r
(b) r(sq);
(c) the equation of the regression line
(d) the expected height in inches for a 7 year-old child.
Age(X)
Height(Y)
2
37
3
40
3
42
6
47
9
54
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