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2.84 Move your business here. City officials use a variety of tactics to encourage businesses to
open offices in their city. One characteristic of a city that is viewed as desirable is open public
space within the city limits. The New York City Open Accessible Space Information System
Cooperative (OASIS) is an organization of public- and private-sector representatives that has
developed an information system designed to enhance the stewardship of open space. Below are
data from the OASIS Website for 12 large U.S. cities. The variables are population in thousands
and total park or open space within city limits in acres. City Baltimore. Population= 651. Open
space=5091 Boston. . Population= 589. Open space=4865 Chicago . Population= 2896. Open
space=11645 Long beach. Population= 462. Open space=2887 Los Angeles. Population= 3695.
Open space=29801 Miami. . Population= 362. Open space=1329 Minneapolis. . Population=
383. Open space=5694 New York. . Population= 8008. Open space=49854 Oakland. .
Population= 399. Open space=3712 Philadelphia. . Population= 1518. Open space=10685 San
Francisco. . Population= 777. Open space=5916 Washington, D.C.. Population= 572. Open
space=7504 (a) Make a scatterplot of the data using population as the explanatory variable and
open space as the response variable. (b) Is it reasonable to fit a straight line to these data?
Explain your answer. (c) Find the least-squares regression line. Report the equation of the line
and draw the line on your scatterplot. (d) What proportion of the variation in open space is
explained by population?
Solution

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2.84 Move your business here. City officials use a variety of tactic.pdf

  • 1. 2.84 Move your business here. City officials use a variety of tactics to encourage businesses to open offices in their city. One characteristic of a city that is viewed as desirable is open public space within the city limits. The New York City Open Accessible Space Information System Cooperative (OASIS) is an organization of public- and private-sector representatives that has developed an information system designed to enhance the stewardship of open space. Below are data from the OASIS Website for 12 large U.S. cities. The variables are population in thousands and total park or open space within city limits in acres. City Baltimore. Population= 651. Open space=5091 Boston. . Population= 589. Open space=4865 Chicago . Population= 2896. Open space=11645 Long beach. Population= 462. Open space=2887 Los Angeles. Population= 3695. Open space=29801 Miami. . Population= 362. Open space=1329 Minneapolis. . Population= 383. Open space=5694 New York. . Population= 8008. Open space=49854 Oakland. . Population= 399. Open space=3712 Philadelphia. . Population= 1518. Open space=10685 San Francisco. . Population= 777. Open space=5916 Washington, D.C.. Population= 572. Open space=7504 (a) Make a scatterplot of the data using population as the explanatory variable and open space as the response variable. (b) Is it reasonable to fit a straight line to these data? Explain your answer. (c) Find the least-squares regression line. Report the equation of the line and draw the line on your scatterplot. (d) What proportion of the variation in open space is explained by population? Solution