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 | Height (in feet) |
---|---|
57 | 1050 |
28 | 428 |
26 | 362 |
40 | 529 |
60 | 790 |
22 | 401 |
38 | 380 |
110 | 1454 |
100 | 1127 |
46 | 700 |
b. What is your regression line written in the form ŷ = a + bx? (Round a and b to 3 decimal places please!)
ŷ = _____ + ______ x
b. Use your regression equation above to predict the height of a building with 7070 stories: ________ (Please enter a whole number)
c. Compute the coefficient of determination (write it as a decimal here). ___
d. Determine the percentage of the variation in the observed values of the response variable, height, explained by the regression with the explanatory variable, stories. _________%
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). Please answer (I, J, and K subparts please)
Height (in feet) | Stories |
---|---|
1050 | 55 |
428 | 27 |
362 | 26 |
529 | 40 |
790 | 60 |
401 | 22 |
380 | 38 |
1454 | 110 |
1127 | 100 |
700 | 46 |
Does the least squares line give an accurate estimate of height? Explain why or why not.
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). Please answer the all 3 subparts
Height (in feet) | Stories |
---|---|
1050 | 55 |
428 | 27 |
362 | 26 |
529 | 40 |
790 | 60 |
401 | 22 |
380 | 38 |
1454 | 110 |
1127 | 100 |
700 | 46 |
(Round your answers to three decimal places.)
Find the estimated height for 92 stories. (Use your equation from part (c). Round your answer to one decimal place.)
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 | Height (in feet) |
---|---|
57 | 1050 |
28 | 428 |
26 | 362 |
40 | 529 |
60 | 790 |
22 | 401 |
38 | 380 |
110 | 1454 |
100 | 1127 |
46 | 700 |
a. Plot the points in the grid below, then sketch a line that best fits the data.
b. What is your regression line written in the form ŷ = a + bx? (Round a and b to 3 decimal places please!)
ŷ = + x
b. Use your regression equation above to predict the height of a building with 7070 stories: (Please enter a whole number)
c. Compute the coefficient of determination (write it as a decimal here).
d. Determine the percentage of the variation in the observed values of the response variable, height, explained by the regression with the explanatory variable, stories. %
e. The predictor variable,x, is and the response variable is
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