Question
In: Statistics and Probability
Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8...
Below are the average heights for American boys in 1990.
| Age (years) | Height (cm) |
|---|---|
| birth | 50.8 |
| 2 | 83.8 |
| 3 | 91.4 |
| 5 | 106.6 |
| 7 | 119.3 |
| 10 | 137.1 |
| 14 | 157.5 |
d) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.)
ŷ =____+____x
e) Find the correlation coefficient r. (Round your answer to four decimal places.)
r =_____
f) Find the estimated average height for a one-year-old. (Use your equation from part (d). Round your answer to one decimal place.)
_____cm
Find the estimated average height for a eleven-year-old. (Use your
equation from part (d). Round your answer to two decimal
places.)
_____cm
i) Use the least squares line to estimate the average height for a fifty-four-year-old man. (Use your equation from part (d). Round your answer to one decimal place.)
_____cm
f) What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)
_____
Interpret the slope. (Round your answer to three decimal
places.)
As age increases by one year, the average height _____ by _____ centimeters.
Solutions
orchestra answered 2 years agoRelated Solutions
Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8...
Below are the average heights for American boys in 1990.
Age (years)
Height (cm)
birth
50.8
2
83.8
3
91.4
5
106.6
7
119.3
10
137.1
14
157.5
1) Find the estimated average height for a twelve-year-old. (Use
your equation from part (d). Round your answer to two decimal
places.)
cm
2) Use the least squares line to estimate the average height for
a sixty-year-old man. (Use your equation from part (d). Round your
answer to one decimal place.)
cm...
Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8...
Below are the average heights for American boys in 1990.
Age (years)
Height (cm)
birth
50.8
2
83.8
3
91.4
5
106.6
7
119.3
10
137.1
14
157.5
A.) Calculate the least squares line. Put the equation in the
form of: ŷ = a + bx. (Round your answers to three decimal
places.)
B.) Find the correlation coefficient r. (Round your
answer to four decimal places.)
C.) Find the estimated average height for a one-year-old. (Use
your equation from part...
Below are the average heights for American boys. Consider “birth” to be 0 years old. Age...
Below are the average heights for American boys. Consider
“birth” to be 0 years old.
Age (years)
Height (cm)
birth
50.8
2
83.8
3
91.4
5
106.6
7
119.3
10
137.1
14
157.5
c) Find the correlation coefficient r. (Round your answer to
four decimal places.) Is it significant at the 0.01 level? If so
why?
In 1990, the mean height of women 20 years of age or older was 63.7 inches...
In 1990, the mean height of women 20 years of age or older was
63.7 inches based on data obtained from the CDC. Suppose that a
random sample of 45 women who are 20 years of age or older in 2015
results in a mean height of 63.9 inches with a standard deviation
of 0.5 inch. Does your sample provide sufficient evidence that
women today are taller than in 1990? Perform the appropriate test
at the 0.05 level of significance....
The population mean of the heights of five-year old boys is 100 cm. A teacher measures...
The population mean of the heights of five-year old boys is 100
cm. A teacher measures the height of her twenty-five students,
obtaining a mean height of 105 cm and standard deviation 18.
Perform a test with a 5% significance level to calculate whether
the true mean is actually greater than 100cm
Boys of a certain age in the nation have an average weight of 86 with a...
Boys of a certain age in the nation have an average weight of 86
with a standard deviation of 10.5 lb. A complaint is made that boys
are overfed fed in a municipal children's home. As evidence, a
sample of 19 boys of the given age is taken from the children's
home with an average weight of 79.52 lb. What can be concluded with
α = 0.05?
a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples...
Boys of a certain age in the nation have an average weight of 85 with a...
Boys of a certain age in the nation have an average weight of 85
with a variance of 114.49 lb. A complaint is made that boys are
overfed in a municipal children's home. As evidence, a sample of 21
boys of the given age is taken from the children's home with an
average weight of 92.5 lb. What can be concluded with α =
0.05?
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test
Related-Samples...
n the following table, average differences of birth height, birth weight, and IQ score between monozygotic...
n the following table, average differences of birth height,
birth weight, and IQ score between monozygotic twins (reared
together and apart are compared. Based on the data below, which
quantitative trait has the lowest heritability?
Trait
MZ Reared Together
MZ Reared Apart
Height (cm)
0.7
0.8
Weight (kg)
1.9
4.5
IQ
1.7
1.9
Its weight correct?
T-Test A research team measured 70 American men’s height. The average height of these men is...
T-Test
A research team measured 70 American men’s height. The average
height of these men is 176cm and the sample variance is 16. Is the
average height of American males different from 174cm?
a) State the null and alternative hypotheses
b) Compute the t-statistics
c) Draw the statistical conclusion (at 95% confidence level)
Assume that I asked heights of 40 female students. It turns out that average height and...
Assume that I asked heights of 40 female students. It turns out
that average height and standard deviation of ladies in our class
is 164 cm and 9 cm, respectively. For all computations, assume that
the heights follow a normal distribution. For hypothesis test
questions please use 5 step procedure.
a. (CI) Find a 95% confidence interval for the
height of the female students.
b. (CI) Without making any computation, can you
test whether ?=163 or not at ?=0.05? Why?...
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