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).
| 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 equation from part (c). Round your
answer to one decimal place.)
ft
Find the estimated height for 93 stories
What is the estimated height of a building with 7 stories
Based on the least squares line, adding an extra story adds about how many feet to a building?
What is the slope of the least squares (best-fit) line?
Solutions
Expert Solution
| SUMMARY OUTPUT | ||||||||
| Regression Statistics | ||||||||
| Multiple R | 0.946181613 | |||||||
| R Square | 0.895259644 | |||||||
| Adjusted R Square | 0.882167099 | |||||||
| Standard Error | 129.7489819 | |||||||
| Observations | 10 | |||||||
| ANOVA | ||||||||
| df | SS | MS | F | Significance F | ||||
| Regression | 1 | 1151152.514 | 1151152.514 | 68.37934695 | 3.43853E-05 | |||
| Residual | 8 | 134678.3864 | 16834.7983 | |||||
| Total | 9 | 1285830.9 | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
| Intercept | 102.9563554 | 85.3788132 | 1.205877097 | 0.262316127 | -93.92754069 | 299.8402516 | -93.92754069 | 299.8402516 |
| Stories | 11.74845625 | 1.420752175 | 8.269180549 | 3.43853E-05 | 8.472195865 | 15.02471664 | 8.472195865 | 15.02471664 |
the least squares line ŷ = a + bx
ŷ = 102.956 + 11.748 * x
Height (in feet) = 102.956 + 11.748 * Stories
the correlation coefficient r = 0.95 = 95%
the estimated height for 34 stories
Height (in feet) = 102.956 + 11.748 * Stories
= 102.956 + 11.748 * 34
= 502.388 = 502.4
the estimated height for 93 stories
Height (in feet) = 102.956 + 11.748 * Stories
= 102.956 + 11.748 * 93
= 1195.5
the estimated height of a building with 7 stories
Height (in feet) = 102.956 + 11.748 * Stories
= 102.956 + 11.748 * 7
= 185.2
Based on the least squares line, adding an extra story adds about 11.748 feet to a building
the slope of the least squares (best-fit) line = 11.748
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).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...
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
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