Question

(a)Show that the digital line can be obtained as a
quotient space that results

from a partition of R in the standard topology.

(b) Show that the digital plane, introduced in Section 1.4, can be
obtained as a

quotient space that results from a partition of R2 in the standard
topology.

Answer #1

b)

The digital plane has a basis defined as:

- are odd
*m*even,*n*is odd-
*m*odd,*n*is even -
*m,n*are both even

The map to the integers with the digital line topology

is an open surjective map, thus a quotient map. Its square is thus an open quotient map as well.

a) based on same approach

Following is a simple linear regression model:
The following results were obtained from some statistical
software.
R2 = 0.523
syx (regression standard error) = 3.028
n (total observations) = 41
Significance level = 0.05 = 5%
Variable Parameter Estimate Std. Error of
Parameter Est.
Intercept 0.519 0.132
Slope of X -0.707 0.239
Questions: the correlation coefficient r between the x and y is?
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Let (X, d) be a metric space, and let U denote the set of all
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Sample Marketing (2) Majors
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Sample Size Marketing Majors =54
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Standard Deviation Sample Marketing =$1,450
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Use laws of equivalence and inference rules to show how you can
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Please show all steps clearly so I can follow your...

Suppose the following two estimated regression equations are
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andom samples of size n = 2 are drawn from a finite population
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