4th Edition

ISBN: 9780321825278

Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock

Publisher: PEARSON

Concept explainers

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 7, Problem 54E

Success in college Colleges use SAT scores in the admissions process because they believe these scores provide some insight into how a high school student will perform at the college level. Suppose the entering freshmen at a certain college have mean combined SAT Scores of 1222, with a standard deviation of 123. In the first semester, these students attained a mean GPA of 2.66, with a standard deviation of 0.56. A scatterplot showed the association to be reasonably linear, and the correlation between SAT score and GPA was 0.47.

a) Write the equation of the regression line.
b) Explain what the y-intercept of the regression line indicates.
c) Interpret the slope of the regression line.
d) Predict the GPA of a freshman who scored a combined 1400.
e) Based upon these statistics, how effective do you think SAT scores would be in predicting academic success during the first semester of the freshman year at this college? Explain.
f) As a student, would you rather have a positive or a negative residual in this context? Explain.

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Chapter 7, Problem 53E

Chapter 7, Problem 55E

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Chapter 7 Solutions

Intro Stats

Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - A scatterplot of house Price (in dollars) vs....Ch. 7.4 - Prob. 6JC Ch. 7.6 - Prob. 7JC Ch. 7.6 - Prob. 8JC Ch. 7.6 - Prob. 9JC Ch. 7 - True or false If false, explain briefly. a) We...

Ch. 7 - True or false II If false, explain briefly. a)...Ch. 7 - Prob. 3E Ch. 7 - Prob. 4E Ch. 7 - Bookstore sales revisited Recall the data we saw...Ch. 7 - Prob. 6E Ch. 7 - Prob. 7E Ch. 7 - Prob. 8E Ch. 7 - Bookstore sales once more Here are the residuals...Ch. 7 - Prob. 10E Ch. 7 - Prob. 11E Ch. 7 - Prob. 12E Ch. 7 - Prob. 13E Ch. 7 - 14. Disk drives last time Here is a scatterplot of...Ch. 7 - Prob. 15E Ch. 7 - Prob. 16E Ch. 7 - More cereal Exercise 15 describes a regression...Ch. 7 - Prob. 18E Ch. 7 - Another bowl In Exercise 15, the regression model...Ch. 7 - Prob. 20E Ch. 7 - Cereal again The correlation between a cereals...Ch. 7 - Prob. 22E Ch. 7 - Prob. 23E Ch. 7 - Prob. 24E Ch. 7 - Prob. 25E Ch. 7 - Prob. 26E Ch. 7 - Prob. 27E Ch. 7 - Residuals Tell what each of the residual plots...Ch. 7 - Real estate A random sample of records of home...Ch. 7 - 30. Roller coaster The Mitch Hawker poll ranked...Ch. 7 - Prob. 31E Ch. 7 - Prob. 32E Ch. 7 - Real estate again The regression of Price on Size...Ch. 7 - Prob. 34E Ch. 7 - Prob. 35E Ch. 7 - More misinterpretations A Sociology student...Ch. 7 - Real estate redux The regression of Price on Size...Ch. 7 - 38. Another ride The regression of Duration of a...Ch. 7 - Prob. 39E Ch. 7 - Prob. 40E Ch. 7 - Prob. 41E Ch. 7 - Prob. 42E Ch. 7 - Prob. 43E Ch. 7 - Prob. 44E Ch. 7 - Prob. 45E Ch. 7 - 46. Second inning 2010 Consider again the...Ch. 7 - Prob. 47E Ch. 7 - Prob. 48E Ch. 7 - Prob. 49E Ch. 7 - Prob. 50E Ch. 7 - Online clothes An online clothing retailer keeps...Ch. 7 - Online clothes II For the online clothing retailer...Ch. 7 - Prob. 53E Ch. 7 - Success in college Colleges use SAT scores in the...Ch. 7 - SAT, take 2 Suppose we wanted to use SAT math...Ch. 7 - Prob. 56E Ch. 7 - Prob. 57E Ch. 7 - Prob. 58E Ch. 7 - Prob. 59E Ch. 7 - Drug abuse revisited Chapter 6, Exercise 42...Ch. 7 - Prob. 61E Ch. 7 - Prob. 62E Ch. 7 - Prob. 63E Ch. 7 - 64. Chicken Chicken sandwiches are often...Ch. 7 - Prob. 65E Ch. 7 - Prob. 66E Ch. 7 - Prob. 67E Ch. 7 - Prob. 68E Ch. 7 - Prob. 69E Ch. 7 - 70. Birthrates 2009 The table shows the number of...Ch. 7 - Prob. 71E Ch. 7 - Prob. 72E Ch. 7 - Prob. 73E Ch. 7 - Prob. 74E Ch. 7 - Hard water In an investigation of environmental...Ch. 7 - 76. Gators Wildlife researchers monitor many...Ch. 7 - Prob. 77E Ch. 7 - Least squares Consider the four points (200,1950),...

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Solution Summary: The author explains the linear regression equation for predicting SAT scores from GPA.

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