Question
In: Statistics and Probability
The height (sidewalk to roof) of notable tall buildings in America is compared to the number...
The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).
| height (in feet) | Stories |
| 1050 | 57 |
| 428 | 28 |
| 362 | 26 |
| 529 | 40 |
| 790 | 60 |
| 401 | 22 |
| 380 | 38 |
| 1454 | 110 |
| 1127 | 100 |
| 700 | 46 |
- Using “stories” as the independent variable and “height” as the dependent variable, make a scatter plot of the data.
- Does it appear from inspection that there is a relationship between the variables?
- Calculate the least squares line. Put the equation in the form of: ŷ = a + bx
- Find the correlation coefficient. Is it significant?
- Find the estimated heights for 32 stories and for 94 stories.
- Based on the data in Table 12.24, is there a linear relationship between the number of stories in tall buildings and the height of the buildings?
- Are there any outliers in the data? If so, which point(s)?
- What is the estimated height of a building with six stories? Does the least squares line give an accurate estimate of height? Explain why or why not.
- Based on the least squares line, adding an extra story is predicted to add about how many feet to a building?
- What is the slope of the least squares (best-fit) line? Interpret the slope.
Solutions
orchestra answered 1 year agoRelated Solutions
The height (sidewalk to roof) of notable tall buildings in America is compared to the number...
The height (sidewalk to roof) of notable tall buildings in
America is compared to the number of stories of the building
(beginning at street level).
Height: 1050, 428, 362, 529, 790, 401
Number of stories: 57, 28, 26, 40, 60, 22
If you can make predictions, when the height is 600, what is
the number of stories? Please answer with a whole number (no
decimal places). If you can’t make a prediction, put “none” in the
answer box.
The height (sidewalk to roof) of notable tall buildings in America is compared to the number...
The height (sidewalk to roof) of notable tall buildings in
America is compared to the number of stories of the building
(beginning at street level). Stories (x-value) Height In feet
(y-value) 57 1,050 28 428 26 362 40 529 60 790 22 401 38 380 110
1,454 100 1,127 46 700 Use the regression analysis to answer the
following questions.
Based on the least squares line, adding an extra story is
predicted to add about how many feet to a...
The height (sidewalk to roof) of notable tall buildings in America is compared to the number...
The height (sidewalk
to roof) of notable tall buildings in America is compared to the
number of stories of the building (beginning at street level).
Height (in feet)
Stories
1050
58
428
27
362
26
529
40
790
60
401
22
380
38
1454
110
1127
100
700
46
Calculate the least
squares line. Put the equation in the form of:
ŷ =
a + bx
Find the correlation
coefficient r.
Find the estimated
height for 34 stories. (Use your...
Q2). The height (sidewalk to roof) of notable tall buildings in America is compared to the...
Q2). The height (sidewalk to roof) of notable tall buildings in
America is compared to the number of stories of the building
(beginning at street level).
Height (in feet)
Stories
1050
56
428
29
362
25
529
40
790
60
401
22
380
38
1454
110
1127
100
700
46
Part (a) Using "stories" as the independent variable and
"height" as the dependent variable, make a scatter plot of the
data
Part (b) Does it appear from inspection that there...
Q2). The height (sidewalk to roof) of notable tall buildings in America is compared to the...
Q2). The height (sidewalk to roof) of notable tall buildings in
America is compared to the number of stories of the building
(beginning at street level).
Height (in feet)
Stories
1050
56
428
29
362
25
529
40
790
60
401
22
380
38
1454
110
1127
100
700
46
Part (a) Using "stories" as the independent variable and
"height" as the dependent variable, make a scatter plot of the
data
Part (b) Does it appear from inspection that there...
Part A) Two identical pieces of machinery are lifted from the sidewalk to the roof of...
Part A) Two
identical pieces of machinery are lifted from the sidewalk to the
roof of a 100.0 m tall building. One is lifted directly to the
building's roof and has a change in internal energy of 1059 kJ. The
other is lifted to twice the height of the building and then
lowered to the roof. What is the change in internal energy of the
second piece of machinery once it has reached the roof?
Part B)
As a reaction...
A ball is thrown upwards from the roof of a house that is 20m tall. The...
A ball is thrown upwards from the roof of a house that is 20m
tall. The initial velocity V0 is 10m/s, and the
acceleration due to gravity g is 10m/s2.
Find:
a) The maximum height that the ball reaches in the air.
b) The total time of flight.
c) The hitting velocity (the velocity right before the ball hits
the ground).
d) Its velocity at t=2s.
A man stands on the roof of a 10.0 m -tall building and throws a rock...
A man stands on the roof of a 10.0 m -tall building and throws a
rock with a velocity of magnitude 30.0 m/s at an angle of 42.0 ∘
above the horizontal. You can ignore air resistance.
A. Calculate the maximum height above the roof reached by the
rock
B. Calculate the magnitude of the velocity of the rock just
before it strikes the ground
C. Calculate the horizontal distance from the base of the
building to the point where...
A baseball is thrown from the roof of 23.5 m -tall building with an initial velocity...
A baseball is thrown from the roof of 23.5 m -tall building with
an initial velocity of magnitude 10.5 m/s and directed at an angle
of 52.4° above the horizontal.
What is the speed of the ball just before it strikes the ground?
Use energy methods and ignore air resistance.
What is the answer if the initial velocity is at an angle of
52.4° below the horizontal?
If the effects of air resistance are included, will part (a) or
(b)...
Compared with the average height of the continents above
Compared with the average height of the continents above sea level, the average depth of the ocean basins below sea level is
a. smaller
b. greater
c. about the same
d. sometimes smaller and sometimes greater, depending upon the tides
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