LinReg Computer Analysis

The following analysis models the relationship between the number of stories for the 9 tallest buildings in Houston, Texas and their height in feet.

Which of the following is the correct regression equation?

Tags

CCSS.HSS.ID.C.8

The following analysis models the relationship between the number of stories for the 9 tallest buildings in Houston, Texas and their height in feet.

How tall would you predict a building is if it had 67 stories?

• 922.1 ft

• 315.8 ft

• 238.7 ft

• 1,087.3 ft

Tags

CCSS.HSF.LE.B.5

The following analysis models the relationship between the number of stories for the 9 tallest buildings in Houston, Texas and their height in feet.

Suppose there is a building in Houston with 67 stories which is 955 feet tall. Which of the following is the residual for that building?

• 32.9

• -32.9

• 54.8

• -54.8

Tags

CCSS.HSS.ID.B.6B

The following analysis models the relationship between the number of stories for the 9 tallest buildings in Houston, Texas and their height in feet.

Which of the following is correct interpretation for the value 10.2 in the analysis?

• If a building had 0 stories, we would predict its height was 10.2 feet.

• If a building was 0 feet tall, we would predict it would have 10.2 stories.

• For each additional story a building has, we predict its height increases by 10.2.

• For each additional foot in height, we predict the building will have 10.2 additional stories.

Tags

CCSS.8.SP.A.3

The given analysis gives further details concerning the relationship between stories and height for the 9 tallest buildings in Houston Texas.

What is the correlation between stories and height?

• 0.94

• -0.94

• 0.97

• -0.97

The given analysis gives further details concerning the relationship between stories and height for the 9 tallest buildings in Houston Texas.

What proportion of the variability in the height of the buildings can be accounted for by the variability in the number of stories?

• 94%

• 28%

• 93%

• 82%

The given analysis gives further details concerning the relationship between stories and height for the 9 tallest buildings in Houston Texas.

If this model is to be used to predict the height of buildings in Houston Texas based solely on the number of stories, by how much will these predictions vary on average from the real heights?

• 27.8 feet

• 824 feet

• 93 feet

• 94 feet

• 9 feet