Please help! The American black bear (Ursus americanus) is one of eight bear species in the world. It is the smallest No
Posted: Wed May 11, 2022 8:26 am
Please help!
The American black bear (Ursus americanus) is one of
eight bear species in the world. It is the smallest North American
bear and the most common bear species on the planet. In 1969, Dr.
Michael R. Pelton of the University of Tennessee initiated a
long-term study of the population in the Great Smoky Mountain
National Park. One aspect of the study was to develop a model that
could be used to predict a bear's weight (since it is not practical
to weigh bears in the field). One variable thought to be related to
weight is the length of the bear. The following data represent the
lengths and weights of 12 American black bears.
a. Use your calculator to compute the linear correlation
coefficient between weight and length.
b. Does a linear relation exist between weight and length of the
bear? (Y/N)
If yes, what kind of linear relationship exists between
atmospheric pressure and wind speed?
c. Use your calculator to find the least-squares regression line
treating total length as the explanatory variable and weight as the
responsible variable. Round slope and y-intercept to three
decimals.
d. Find the coefficient of determination rounding to four
decimals.
e. Suppose a 166.0-cm bear is captured in the field. Use the
least-squares regression line above to predict the weight of the
bear.
What is the residual of the 166.0-cm bear?
Is the bear's weight above or below average for a bear of this
length?
f. Test whether a linear relation exists between total length
and weight at the a = 0.05 level of significance.
American Black Bears 150+ Weight (kg) 110 60 90 60 85 100 125 - Total Length (cm) 139.0 138.0 139.0 120.5 149.0 141.0 141.0 150.0 166.0 151.5 129.5 150.0 Weight (kg) 100- 75 95 85 50 120 130 160 170 155 140 140 150 Length (cm) 105 110
The American black bear (Ursus americanus) is one of
eight bear species in the world. It is the smallest North American
bear and the most common bear species on the planet. In 1969, Dr.
Michael R. Pelton of the University of Tennessee initiated a
long-term study of the population in the Great Smoky Mountain
National Park. One aspect of the study was to develop a model that
could be used to predict a bear's weight (since it is not practical
to weigh bears in the field). One variable thought to be related to
weight is the length of the bear. The following data represent the
lengths and weights of 12 American black bears.
- Please Help The American Black Bear Ursus Americanus Is One Of Eight Bear Species In The World It Is The Smallest No 1 (294.77 KiB) Viewed 25 times
coefficient between weight and length.
b. Does a linear relation exist between weight and length of the
bear? (Y/N)
If yes, what kind of linear relationship exists between
atmospheric pressure and wind speed?
c. Use your calculator to find the least-squares regression line
treating total length as the explanatory variable and weight as the
responsible variable. Round slope and y-intercept to three
decimals.
d. Find the coefficient of determination rounding to four
decimals.
e. Suppose a 166.0-cm bear is captured in the field. Use the
least-squares regression line above to predict the weight of the
bear.
What is the residual of the 166.0-cm bear?
Is the bear's weight above or below average for a bear of this
length?
f. Test whether a linear relation exists between total length
and weight at the a = 0.05 level of significance.
American Black Bears 150+ Weight (kg) 110 60 90 60 85 100 125 - Total Length (cm) 139.0 138.0 139.0 120.5 149.0 141.0 141.0 150.0 166.0 151.5 129.5 150.0 Weight (kg) 100- 75 95 85 50 120 130 160 170 155 140 140 150 Length (cm) 105 110