An analyst in the real estate business is interested in the relationship between the cost of the monthly rent of an apartment and the size of an apartment, in big cities. She gathers data for apartment buildings in 12 cities in 12 different states. In each city, she gets the numbers for at least 5 different buildings and at least 40 apartments in each building. She reaches the following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a 1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental cost of a 2-bedroom apartment. Based on the paragraph, what is the minimum number of apartments she collected data on? Do you think her sample was large enough to be statistically valid? Based on the paragraph, are there any apartments or apartment buildings that she would have excluded from her study? Do you see any bias in how she selected apartments for her study? Based on the paragraph, is there a positive correlation, a negative correlation, or no correlation between the number of bedrooms and the monthly rent? If her conclusion is valid, and you are renting a 1-bedroom apartment for $800 per month, how much rent would you expect to pay if you moved to a 3-bedroom apartment nearby?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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An analyst in the real estate business is interested in the relationship between the cost of the monthly rent of an apartment and the size of an apartment, in big cities.  She gathers data for apartment buildings in 12 cities in 12 different states.  In each city, she gets the numbers for at least 5 different buildings and at least 40 apartments in each building.  She reaches the following conclusion: the rental cost of a 2-bedroom apartment is 50% more than the rental cost of a 1-bedroom apartment, and the rental cost of a 3-bedroom apartment is 50% more than the rental cost of a 2-bedroom apartment.

Based on the paragraph, what is the minimum number of apartments she collected data on?

Do you think her sample was large enough to be statistically valid?

Based on the paragraph, are there any apartments or apartment buildings that she would have excluded from her study?

Do you see any bias in how she selected apartments for her study?

Based on the paragraph, is there a positive correlation, a negative correlation, or no correlation between the number of bedrooms and the monthly rent?

If her conclusion is valid, and you are renting a 1-bedroom apartment for $800 per month, how much rent would you expect to pay if you moved to a 3-bedroom apartment nearby?

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