HW8_MA511_Fall2016-1.pdf

# HW8_MA511_Fall2016-1.pdf - HW#8 due M 11/28(1 A city has 4...

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HW #8 due M, 11/28 (1) A city has 4 neighborhoods that we wish to analyze. We survey random respondents from each neighborhood and get the following results about their support or opposition of the mayor’s proposal. Support Against Neighborhood 1 22 28 Neighborhood 2 38 47 Neighborhood 3 25 30 Neighborhood 4 24 36 Are you able to conclude at 99% confidence that the neighborhoods differ in their political opinions about the mayor’s proposal. Comment on the practical significance of such a result. (2) A regression equation is used to predict local consumers’ total yearly purchases on clothing dependent on their income. The following statistics are given: Income Spending on Clothing Mean \$95,000 \$4,000 SD \$12,000 \$750 r (Income, Spending) = 0.4 (a) What is the percentile of expected spending for someone in the top 20% of Income earners? (b) R 2 can be inferred from r. Comment on the strength of the relationship and what is left unexplained. Comment on other variables that could be used on a data set of individuals to help predict spending on clothing?

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