Open space and population. The New York City Open Accessible Space Information System Cooperative (OASIS) is an organization of public and private sector representatives that has developed an...

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Open space and population. 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.17 Data from the OASIS Web site for 12 large U.S. cities follow. The variables are population in thousands and total park or other open space within city limits in acres.

(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.

(d) What proportion of the variation in open space is explained by population?

Answered Same DayDec 25, 2021

Answer To: Open space and population. The New York City Open Accessible Space Information System Cooperative...

David answered on Dec 25 2021

124 Votes

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in
Part A
We draw population on the x axis because it is the explanatory variable, and
open space on y axis beacause that is the response variable.
Following is the scatter plot
0 2,000 4,000 6,000 8,000
0
2
4
·104
Population, (x)
O
pe
n
Sp
ac
e,
(y
)
Part B
It seems reasonable to fit straight line because the scatter plot shows a linear
pattern. But we can also see that points do not vary uniformly, and using
regression here will skew the results in favor of outliers. Instead, we should opt
for transformation, in this case we should use logarithmic transformation for
both x and y. And then we can use simple linear regression on transformed
data.
Part C
x y xy x2 y2
651 5091 3314241 423801 25918281
589 4865 2865485 346921 23668225
2896 11645 33723920 8386816 135606025
462 2887...

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Open space and population. The New York City Open Accessible Space Information System Cooperative (OASIS) is an organization of public and private sector representatives that has developed an...

Answer To: Open space and population. The New York City Open Accessible Space Information System Cooperative...

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