Question
In: Statistics and Probability
Below you can find father and sons heights in inches. FATHER'S HEIGHTS (x) : 63 ...
Below you can find father and sons heights in inches.
FATHER'S HEIGHTS (x) : 63 67 64 60 65 67 59 60
SON'S HEIGHTS (y) : 61.6 66.7 65.3 61.0 65.4 67.4 60.9 63.1
1. calculate the correlation coefficient between x and y
2. Test if there is a linear correlation between x and y under a significance level of 0.01.
3. find regression line between x and y if linear correlation exists. Predict sons height if father is 66 inches.
Solutions
orchestra answered 1 year agoRelated Solutions
The following data are the heights of fathers and their sons in inches. The father's height...
The following data are the heights of fathers and their sons in
inches. The father's height is his height when he was the same age
as the son.
Father's Height
Son's Height
44
44
47
47
43
46
41
42
45
47
44
44
44
45
44
45
a. A geneticist might wonder if there is a tendency for tall
fathers to have tall sons and short fathers to have short sons.
Answer this question by computing the appropriate statistic...
An anthropologist records the heights (in inches) of ten fathers and their sons. Use the Spearman...
An anthropologist records the heights (in inches) of ten fathers
and their sons. Use the Spearman rank correlation test to analyze
the results.
Heights
Son's Height
Father's Height
64
64
57
66
52
79
50
78
41
77
40
90
66
81
78
80
58
61
56
82
Step 1 of 2:
Find the value of the correlation coefficient to test for an
association between the heights of the fathers and the heights of
their sons. Round your answer to...
Heights for group of people normally distributed with mean = 63 inches and standard deviation =...
Heights for group of people normally distributed with mean =
63 inches and standard deviation = 2.9 inches. Find the height, h
such that about 20% of people in the group are shorter than that
height. (Round the answer to the nearest tenth.)
h = in.
What is the percentile, p ranking for that height?
p = %
Heights for group of people are normally distributed with mean = 63 inches and standard deviation...
Heights for group of people are normally distributed with mean =
63 inches and standard deviation = 4.0 inches. Find the proportion,
P, of people in the group whose heights fall into the following
ranges. (Round your answers to four decimal places.)
(a) Between 60 inches and 63 inches.
(b) Between 57 inches and 69 inches.
(c) Less than 69 inches.
(d) Greater than 57 inches.
(e) Either less than 57 inches or greater than 69 inches.
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people. Arm Span, x 51 52 56 49
54 59 58 55 52 56 Height, y 51 53 54 50 55 57 58 57 52 56
1) Construct the 1% confidence interval for the population slope
β 1 .
Make sure your answers follow the rounding rule in the
direction.
Lower endpoint =
Upper endpoint =
2) Fill in the blanks in...
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people. Arm Span, x 51 52 56 49
54 59 58 55 52 56 Height, y 51 53 54 50 55 57 58 57 52 56
What is the point estimate for the mean height of all people
whose arm span is exactly 53 inches? Make sure your answer follows
the rounding rule
MUST ROUND TO SIX DECIMAL PLACES
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people.
Arm Span, x
51
52
56
49
54
59
58
55
52
56
Height, y
51
53
54
50
55
57
58
57
52
56
Perform a test, at the 5% level of significance, for the
population slope β 1 of the regression line.
H0:
Ha:
t-Test Statistic (round this value to three
decimal places) =
Critical t-Score (t α or...
The table below shows the arm spans (in inches) and the heights (in inches) of 10...
The table below shows the arm spans (in inches) and the heights
(in inches) of 10 randomly selected people.
Arm Span, x
51
52
56
49
54
59
58
55
52
56
Height, y
51
53
54
50
55
57
58
57
52
56
1) Construct the 1% confidence interval for the population slope
β 1. Make sure your answers follow the rounding rule in the
direction.
Lower endpoint =
Upper endpoint =
2) Fill in the blanks in the...
(Heights of Presidents since 1900) Listed below are the heights (in inches) of the Presidents who...
(Heights of Presidents since 1900) Listed below are the heights
(in inches) of the Presidents who started serving in 20th until
today. Assume that these values are sample data from some larger
population.
67, 70, 72, 71, 72, 70, 71, 74, 69, 70.5, 72,
75, 71.5 69.5, 73, 74, 74.5, 71.5, 73.5, 72.5
(a) Find Q1 and Q3
(b) Construct a boxplot for the data
(c) Find the range
(d) Find the standard deviation and variance
(e) Assume that the...
(Heights of Presidents since 1900) Listed below are the heights (in inches) of the Presidents who...
(Heights of Presidents since 1900) Listed below are the heights
(in inches) of the Presidents who started serving in 20th until
today. Assume that these values are sample data from some larger
population.
67, 70, 72, 71, 72, 70, 71, 74, 69, 70.5, 72,
75, 71.5, 69.5, 73, 74, 74.5, 71.5, 73.5, 72.5,
(a) Find the mean
(b) Find the median
(c) Find Q1 and Q3
(d) Construct a boxplot for the data
(e) Find the range
(f) Find the...
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