4th Edition

ISBN: 9780135989029

Author: Agresti

Publisher: PEARSON CO

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Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

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Textbook Question

Chapter 13, Problem 71CP

Factors affecting first home purchase The table summarizes results of a logistic regression model for predictions about first home purchase by young married households. The response variable is whether the subject owns a home (1 = yes, 0 = no). The explanatory variables are husband’s income, wife’s income (each in ten-thousands of dollars), the number of years the respondent has been married, the number of children aged 0–17 in the household, and an indicator variable that equals 1 if the subject’s parents owned a home in the last year the subject lived in the parental home.

a. Explain why, other things being fixed, the probability of home ownership increases with husband’s earnings, wife’s earnings, the number of children, and parents’ home ownership.
b. From the table, explain why the number of years married seems to show little evidence of an effect, given the other variables in the model.

Results of logistic regression for probability of home ownership

Chapter 13, Problem 71CP, Factors affecting first home purchase The table summarizes results of a logistic regression model

Source: Data from J. Henretta, “Family Transitions, Housing Market Context, and First Home Purchase,” Social Forces, vol. 66, 1987, pp. 520–536.

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Chapter 13, Problem 70CP

Chapter 13, Problem 74CP

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Chapter 13 Solutions

EP STATISTICS:ART+SCI...-MYLABSTATISTIC

Ch. 13.1 - Predicting weight For a study of female college...Ch. 13.1 - Prob. 2PB Ch. 13.1 - Predicting college GPA For all students at Walden...Ch. 13.1 - Prob. 4PB Ch. 13.1 - Does more education cause more crime? The FL Crime...Ch. 13.1 - Crime rate and income Refer to the previous...Ch. 13.1 - The economics of golf The earnings of a PGA Tour...Ch. 13.1 - Prob. 8PB Ch. 13.1 - Controlling can have no effect Suppose that the...Ch. 13.1 - House selling prices Using software with the House...

Ch. 13.1 - Used cars The following data (also available from...Ch. 13.2 - Predicting sports attendance Keeneland Racetrack...Ch. 13.2 - Predicting weight Lets use multiple regression to...Ch. 13.2 - Prob. 14PB Ch. 13.2 - Price of used cars For the 19 used cars listed in...Ch. 13.2 - Prob. 16PB Ch. 13.2 - Softball data For the Softball data set on the...Ch. 13.2 - Slopes, correlations, and units In Example 2 on y...Ch. 13.2 - Predicting college GPA Using software with the...Ch. 13.3 - Predicting GPA For the 59 observations in the...Ch. 13.3 - Study time help GPA? Refer to the previous...Ch. 13.3 - Variability in college GPA Refer to the previous...Ch. 13.3 - Does leg press help predict body strength? Chapter...Ch. 13.3 - Prob. 24PB Ch. 13.3 - Interpret strength variability Refer to the...Ch. 13.3 - Any predictive power? Refer to the previous three...Ch. 13.3 - Predicting pizza revenue Aunt Ermas Pizza...Ch. 13.3 - Prob. 28PB Ch. 13.3 - Mental health again Refer to the previous...Ch. 13.3 - Prob. 30PB Ch. 13.3 - House prices Use software to do further analyses...Ch. 13.4 - Body weight residuals Examples 47 used multiple...Ch. 13.4 - Strength residuals In Chapter 12, we analyzed...Ch. 13.4 - Prob. 34PB Ch. 13.4 - Nonlinear effects of age Suppose you fit a...Ch. 13.4 - Prob. 36PB Ch. 13.4 - Why inspect residuals? When we use multiple...Ch. 13.4 - College athletes The College Athletes data set on...Ch. 13.4 - House prices Use software with the House Selling...Ch. 13.4 - Prob. 40PB Ch. 13.5 - U.S. and foreign used cars Refer to the used car...Ch. 13.5 - Prob. 42PB Ch. 13.5 - Predict using house size and condition For the...Ch. 13.5 - Quality and productivity The table shows data from...Ch. 13.5 - Predicting hamburger sales A chain restaurant that...Ch. 13.5 - Prob. 46PB Ch. 13.5 - House size and garage interact? Refer to the...Ch. 13.5 - Prob. 48PB Ch. 13.5 - Comparing sales You own a gift shop that has a...Ch. 13.6 - Prob. 50PB Ch. 13.6 - Prob. 51PB Ch. 13.6 - Prob. 52PB Ch. 13.6 - Prob. 53PB Ch. 13.6 - Prob. 54PB Ch. 13.6 - Prob. 55PB Ch. 13.6 - Prob. 56PB Ch. 13.6 - Prob. 57PB Ch. 13.6 - Prob. 58PB Ch. 13.6 - Prob. 59PB Ch. 13 - House prices This chapter has considered many...Ch. 13 - Prob. 61CP Ch. 13 - Prob. 62CP Ch. 13 - Prob. 63CP Ch. 13 - Prob. 64CP Ch. 13 - Prob. 65CP Ch. 13 - Prob. 66CP Ch. 13 - Prob. 67CP Ch. 13 - Prob. 68CP Ch. 13 - Prob. 69CP Ch. 13 - AIDS and AZT In a study (reported in the New York...Ch. 13 - Factors affecting first home purchase The table...Ch. 13 - Unemployment and GDP Refer to Exercise 13.67. When...Ch. 13 - Prob. 75CP Ch. 13 - Prob. 76CP Ch. 13 - Prob. 77CP Ch. 13 - Prob. 78CP Ch. 13 - Prob. 79CP Ch. 13 - True or false: Slopes For data on y = college GPA,...Ch. 13 - Prob. 81CP Ch. 13 - Lurking variable Give an example of three...Ch. 13 - Prob. 83CP Ch. 13 - Prob. 84CP Ch. 13 - Prob. 85CP Ch. 13 - Logistic versus linear For binary response...Ch. 13 - Prob. 87CP Ch. 13 - Prob. 88CP Ch. 13 - Prob. 89CP Ch. 13 - Prob. 90CP Ch. 13 - Prob. 91CP Ch. 13 - Prob. 92CP Ch. 13 - Prob. 93CP

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Solution Summary: The author explains the significance of the parameter of a logistic regression model.

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