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 Part (i) What is the estimated height of a building with 3 stories? (Use your equation from part (c). Round your answer to one decimal place.) ft Does the least squares line give an accurate estimate of height? Explain why or why not. The least squares regression line does not give an accurate estimate because the estimated height of a building with three stories is not within the range of y-values in the data. The estimate for the height of a three-story building does not make sense in this situation. The least squares regression line does not give an accurate estimate because a three-story building is not within the range of x-values in the data. The least squares regression line does give an accurate estimate because none of the buildings surveyed had three stories. Part (j) Based on the least squares line, adding an extra story adds about how many feet to a building? (Round your answer to three decimal places.) Part (k) What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter3: Math Models

Section3.5: Solve Uniform Motion Applications

Problem 305E: John left his house in Irvine at 8:35 am to drive to a meeting in Los Angeles, 45 miles away. He...

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Height (in feet)	Stories
1050	55
428	27
362	26
529	40
790	60
401	22
380	38
1454	110
1127	100
700	46

Part (i)

What is the estimated height of a building with 3 stories? (Use your equation from part (c). Round your answer to one decimal place.)
ft

Does the least squares line give an accurate estimate of height? Explain why or why not.

The least squares regression line does not give an accurate estimate because the estimated height of a building with three stories is not within the range of y-values in the data.
The estimate for the height of a three-story building does not make sense in this situation.
The least squares regression line does not give an accurate estimate because a three-story building is not within the range of x-values in the data.
The least squares regression line does give an accurate estimate because none of the buildings surveyed had three stories.

Part (j)

Based on the least squares line, adding an extra story adds about how many feet to a building? (Round your answer to three decimal places.)

Part (k)

What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)

Expert Solution

Step 1

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 data is given by :

Height( in feet) (y)	Stories (x)
1050	55
428	27
362	26
529	40
790	60
401	22
380	38
1454	110
1127	100
700	46

where y is dependent on x

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