3rd Edition

ISBN: 9780135163146

Author: Gould

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 4, Problem 64SE

Wine Calories The table shows the calories in a five-ounce serving and the % alcohol content for a sample of wines. (Source: healthalicious.com)

Chapter 4, Problem 64SE, Wine Calories The table shows the calories in a five-ounce serving and the #37; alcohol content for

a. Make a scatterplot using % alcohol as the independent variable and calories as the dependent variable. Include the regression line on your scatterplot. Based on your scatterplot do you think there is a strong linear relationship between these variables?

b. Find the numerical value of the correlation between % alcohol and calories. Explain what the sign of the correlation means in the context of this problem.

c. Report the equation of the regression line and interpret the slope of the regression line in the context of this problem. Use the words calories and % alcohol in your equation. Round to two decimal places.

d. Find and interpret the value of the coefficient of determination.

e. Add a new point to your data: a wine that is 20% alcohol that contains 0 calories. Find r and the regression equation after including this new data point. What was the effect of this one data point on the value of r and the slope of the regression equation?

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Chapter 4, Problem 63SE

Chapter 4, Problem 65SE

Chapter 4 Solutions

INTRODUCTORY STATISTICS (LOOSELEAF)

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Solution Summary: The author explains the steps to obtain a scatterplot, using the MINITAB software: Enter the data of calories and percentage of alcohol in two different columns of the Minitab worksheet.

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