number of stories the building has? Data was gathered from a random sample of 60 tall buildings in the United States, and this data is presented in the scatterplot below. The correlation between height and number of stories was observed to be r = 0.89, and the equation to predict height based on number of stories is given below. Predicted height = 129.8 + 10.10 (stories) Based on this information, which one of the following statements is correct? 1200 1000 800 600 400 200 30 60 70 80 90 100 stories A. If we removed from the analysis the building with 81 stories and a height of 500 feet, the correlation would get stronger. B. It would be extrapolation to use the regression equation to predict the height of a building with 100 stories. c. A building with 0 stories would be predicted to have a height of 10.10 feet. D. If we decided we wanted to predict number of stories based on the height of the building, the regression equation would be: Predicted number of stories = 129.8 + 10.10 (height). E. Because we know the correlation coefficient is larger than 0.8, it is okay to conclude that the number of stories in a building causes the building to have a particular height.
number of stories the building has? Data was gathered from a random sample of 60 tall buildings in the United States, and this data is presented in the scatterplot below. The correlation between height and number of stories was observed to be r = 0.89, and the equation to predict height based on number of stories is given below. Predicted height = 129.8 + 10.10 (stories) Based on this information, which one of the following statements is correct? 1200 1000 800 600 400 200 30 60 70 80 90 100 stories A. If we removed from the analysis the building with 81 stories and a height of 500 feet, the correlation would get stronger. B. It would be extrapolation to use the regression equation to predict the height of a building with 100 stories. c. A building with 0 stories would be predicted to have a height of 10.10 feet. D. If we decided we wanted to predict number of stories based on the height of the building, the regression equation would be: Predicted number of stories = 129.8 + 10.10 (height). E. Because we know the correlation coefficient is larger than 0.8, it is okay to conclude that the number of stories in a building causes the building to have a particular height.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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