Question
In: Statistics and Probability
A study is given in which scientists examined data on mean sea surface temperatures (in degrees...
A study is given in which scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several-year period at different locations. Here are the data:
Sea Surface Temperature 29.69 29.88 30.17 30.22 30.48 30.65 31.00
Growth 2.64 2.57 2.68 2.70 2.48 2.37 2.25
(a) Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y. Use these basic measures to find the equation of the least-squares line for predicting y from x. (Round your answers to three decimal places.)
ŷ = ___ + ___X
(b) Enter the data into your software or calculator, and use the regression function to find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.) ŷ =___+___ x
(c) Say in words what the numerical value of the slope tells you. (Round your answer to three decimal places.) Every increase of one degree Celsius means about ______ fewer mean millimeters of coral growth per year.
Solutions
orchestra answered 1 year agoRelated Solutions
A study is given in which scientists examined data on mean sea surface temperatures (in degrees...
A study is given in which scientists examined data on mean sea
surface temperatures (in degrees Celsius) and mean coral growth (in
millimeters per year) over a several-year period at different
locations. Here are the data:
Sea Surface Temperature
29.69 29.86
30.16 30.21
30.48 30.65 30.90
Growth
2.62
2.57
2.68
2.60
2.49
2.39 2.25
(a) Use your calculator to find the mean and standard deviation
of both sea surface temperature x and growth y
and the correlation r between x...
How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data...
How sensitive to changes in water temperature are coral reefs?
To find out, scientists examined data on sea surface temperatures,
in degrees Celsius, and mean coral growth, in centimeters per year,
over a several‑year period at locations in the Gulf of Mexico and
the Caribbean Sea. The table shows the data for the Gulf of
Mexico.
Sea surface temperature
26.726.7
26.626.6
26.626.6
26.526.5
26.326.3
26.126.1
Growth
0.850.85
0.850.85
0.790.79
0.860.86
0.890.89
0.920.92
(b) Find the correlation ?r step by step....
How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data...
How sensitive to changes in water temperature are coral reefs?
To find out, scientists examined data on sea surface temperatures,
in degrees Celsius, and mean coral growth, in centimeters per year,
over a several‑year period at locations in the Gulf of Mexico and
the Caribbean Sea. The table shows the data for the Gulf of
Mexico.
Sea surface temperature
26.726.7
26.626.6
26.626.6
26.526.5
26.326.3
26.126.1
Growth
0.850.85
0.850.85
0.790.79
0.860.86
0.890.89
0.920.92
Find the correlation rr step by step. Round...
How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data...
How sensitive to changes in water temperature are coral reefs?
To find out, scientists examined data on sea surface temperatures
and coral growth per year at locations in the Gulf of Mexico and
the Caribbean Sea. Scientists examined data on mean sea surface
temperatures (in degrees Celsius) and mean coral growth (in
centimeters per year) over a several‑year period at locations in
the Gulf of Mexico and the Caribbean. The table shows the data for
the Gulf of Mexico.
Sea...
The following data show the body temperatures (in degrees Fahrenheit) from a random sample of 12...
The following data show the body temperatures (in degrees
Fahrenheit) from a random sample of 12 independent healthy people
in the United States.
98.5 98.2 99.1 96.6 98.1 98.7 97.5 99.0 97.4 98.3 97.8 98.2
What would be the estimate of the average body temperature of
healthy people in the United States.
Find a 95% confidence interval for the average body temperature
of healthy people in the United States.
Explain carefully the interval you found in part (b) means.
can...
Assume that human body temperatures are normally distributed with a mean of 98.19 degrees Upper F98.19°F...
Assume that human body temperatures are normally distributed
with a mean of
98.19 degrees Upper F98.19°F
and a standard deviation of
0.61 degrees Upper F0.61°F.
a. A hospital uses
100.6 degrees Upper F100.6°F
as the lowest temperature considered to be a fever. What
percentage of normal and healthy persons would be considered to
have a fever? Does this percentage suggest that a cutoff of
100.6 degrees Upper F100.6°F
is appropriate?
b. Physicians want to select a minimum temperature for requiring...
You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 84.6 81.1...
You must estimate the mean temperature (in degrees Fahrenheit)
with the following sample temperatures:
84.6
81.1
95.7
65.5
90.8
80.6
Find the 90% confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to two decimal places (because the sample data are
reported accurate to one decimal place).
90% C.I. =
You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 62.4 102.8...
You must estimate the mean temperature (in degrees Fahrenheit)
with the following sample temperatures:
62.4
102.8
79.9
52.7
45.5
70.6
76.2
102.3
62.4
Find the 98% confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to two decimal places (because the sample data are
reported accurate to one decimal place).
98% C.I. =
Answer should be obtained without any preliminary rounding.
You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 78.1 70.7...
You must estimate the mean temperature (in degrees Fahrenheit)
with the following sample temperatures: 78.1 70.7 73.8 80.1 63.1
66.8 69 78.1 66.4 76.5 70.7 68.5 Find the 99% confidence interval.
Enter your answer as an open-interval (i.e., parentheses) accurate
to two decimal places. Use (lower, upper) formats. 99% C.I. =
You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 45.6 36.2...
You must estimate the mean temperature (in degrees Fahrenheit)
with the following sample temperatures: 45.6 36.2 32.9 21.8 31.5
29.2 30 37.9 24.1 26.9 Find the 98% confidence interval. Enter your
answer as an open-interval (i.e., parentheses) accurate to two
decimal places (because the sample data are reported accurate to
one decimal place). 98% C.I. = Answer should be obtained without
any preliminary rounding.
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