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Real Analysis

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In the textbook:

Topological spaces

1.Compactness in Metric spaces (Sections 11.1-11.4)

Problems: - Section 11 --# 1,2,3,4

2.Real functions on Metric and Topological Spaces (Sections

Problems: - Section 12 --# 1,2,3,5,6

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Regression model for real estate data

Refer to the data included in the Excel file, which report information on homes sold in the Somewhere, USA, during a recent year. Use the selling price of the home as the dependent variable and determine the regression equation with number of bedrooms, size of the house, whether there is a pool, whether there is an attached garage, distance from the center of the
city, and the number of bathrooms as independent variables.

i) Construct a 95% confidence interval estimate of the population slope between selling price and each of the following variables: number of bedrooms, size in sq. ft., distance to CBD, and number of bathrooms.
j) Compute and interpret the coefficients of partial determination.
k) Predict the selling price of a 2,500 square feet house that has 5 bedrooms, 3 bathrooms,
a 3-car attached garage, no pool, and is at 18 miles from the city center.
l) Rerun the analysis until only significant regression coefficients remain in the analysis. Identify these variables.

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