Data was gathered from several homes for sale in Cincinnati Ohio, in order to examine the relationship between the size of the house (measured in square feet) and the price of the house (measured in dollars). Suppose you learn the relationship between these variables is linear and positive.  When a regression equation is constructed in order to predict the price of a house based on its size, the equation is found to explain 54.7% of the variability in price.  This means that within this data set, the correlation, or r, between the house size and house price must be equal to approximately   55. 74. 30.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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  1. Data was gathered from several homes for sale in Cincinnati Ohio, in order to examine the relationship between the size of the house (measured in square feet) and the price of the house (measured in dollars). Suppose you learn the relationship between these variables is linear and positive.  When a regression equation is constructed in order to predict the price of a house based on its size, the equation is found to explain 54.7% of the variability in price.  This means that within this data set, the correlation, or r, between the house size and house price must be equal to approximately

 

  1. 55.
  2. 74.
  3. 30.
  4. 27.
  5. 81.
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