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City planneres believe that larger cities are populated by older residents. To investigate the
relationship, data on the population and mean age in 10 large cities were collected: Chicage
population 2.833 median age 31.5, dallas pop 1.233 median age 30.5, Houston pop 2.144 median
age 30.9, LA pop 3.849 median age 31.6, NY pop 8.214 median age 34.2, Philadelphia pop
1.448 median age 34.2, phoenix pop 1.513 median age 30.7, san Antonio pop 1.297 median age
31.7, san diego pop 1.257 median age 32.5, san jose pop 0.930 median age 32.6. A regression
analysis was performed and the resulting regression ewuation is median age = 31.4 + 0.272
population. Interpret the meaning of the slope.
Solution
Xbar = 2.4718
Ybar = 32.04
correlation coefficient: ( X X )(Y Y ) =11.9342
A regression analysis was performed and the resulting regression equation is Median age =
31.367 +0.272 population.
the median age for a city of 2.5 million people:
31.367 + 0.272 × 2.5 =32.047

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City planneres believe that larger cities are populated by older res.pdf

  • 1. City planneres believe that larger cities are populated by older residents. To investigate the relationship, data on the population and mean age in 10 large cities were collected: Chicage population 2.833 median age 31.5, dallas pop 1.233 median age 30.5, Houston pop 2.144 median age 30.9, LA pop 3.849 median age 31.6, NY pop 8.214 median age 34.2, Philadelphia pop 1.448 median age 34.2, phoenix pop 1.513 median age 30.7, san Antonio pop 1.297 median age 31.7, san diego pop 1.257 median age 32.5, san jose pop 0.930 median age 32.6. A regression analysis was performed and the resulting regression ewuation is median age = 31.4 + 0.272 population. Interpret the meaning of the slope. Solution Xbar = 2.4718 Ybar = 32.04 correlation coefficient: ( X X )(Y Y ) =11.9342 A regression analysis was performed and the resulting regression equation is Median age = 31.367 +0.272 population. the median age for a city of 2.5 million people: 31.367 + 0.272 × 2.5 =32.047