Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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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 9, Problem 9CURP

Linear Regression: Blood Glucose Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information (Reference: American Journal of Clinical Nutrition, Vol. 19, pp. 345–351).

Chapter 9, Problem 9CURP, Linear Regression: Blood Glucose Let x be a random variable that represents blood glucose level , example 1

Σx = 63.8; Σx² = 521.56; Σy = 90.7; Σy² = 1070.87; Σxy = 739.65

Chapter 9, Problem 9CURP, Linear Regression: Blood Glucose Let x be a random variable that represents blood glucose level , example 2

(a) Draw a scatter diagram for the data.
(b) Find the equation of the least-squares line and graph it on the scatter diagram.
(c) Find the sample correlation coefficient r and the sample coefficient of determination r². Explain the meaning of r² in the context of the application.
(d) If x = 9.0, use the least-squares line to predict y. Find an 80% confidence interval for your prediction.
(e) Use level of significance 1% and test the claim that the population correlation coefficient ρ is not zero. Interpret the results.
(f) Find an 85% confidence interval for the slope β of the population-based least-squares line. Explain its meaning in the context of the application.

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Chapter 9, Problem 8CURP

Chapter 10.1, Problem 1P

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Chapter 9 Solutions

Understandable Statistics: Concepts and Methods

Ch. 9.1 - Statistical Literacy When drawing a scatter...Ch. 9.1 - Prob. 2P Ch. 9.1 - Prob. 3P Ch. 9.1 - Prob. 4P Ch. 9.1 - Prob. 5P Ch. 9.1 - Prob. 6P Ch. 9.1 - Prob. 7P Ch. 9.1 - Prob. 8P Ch. 9.1 - Prob. 9P Ch. 9.1 - Critical Thinking: Lurking Variables Over the past...

Ch. 9.1 - Prob. 11P Ch. 9.1 - Prob. 12P Ch. 9.1 - Prob. 13P Ch. 9.1 - Health Insurance: Administrative Cost The...Ch. 9.1 - Prob. 15P Ch. 9.1 - Geology: Earthquakes Is the magnitude of an...Ch. 9.1 - Prob. 17P Ch. 9.1 - Prob. 18P Ch. 9.1 - Prob. 19P Ch. 9.1 - Prob. 20P Ch. 9.1 - Prob. 21P Ch. 9.1 - Prob. 22P Ch. 9.1 - Prob. 23P Ch. 9.1 - Prob. 24P Ch. 9.2 - Statistical Literacy In the least-squares line...Ch. 9.2 - Prob. 2P Ch. 9.2 - Critical Thinking When we use a least-squares line...Ch. 9.2 - Prob. 4P Ch. 9.2 - Prob. 5P Ch. 9.2 - Critical Thinking: Interpreting Computer Printouts...Ch. 9.2 - Prob. 7P Ch. 9.2 - For Problems 718, please do the following. (a)...Ch. 9.2 - Prob. 9P Ch. 9.2 - For Problems 718, please do the following. (a)...Ch. 9.2 - Prob. 11P Ch. 9.2 - Prob. 12P Ch. 9.2 - For Problems 718, please do the following. (a)...Ch. 9.2 - Prob. 14P Ch. 9.2 - Prob. 15P Ch. 9.2 - For Problems 718, please do the following. (a)...Ch. 9.2 - Prob. 17P Ch. 9.2 - Prob. 18P Ch. 9.2 - Prob. 19P Ch. 9.2 - Residual Plot: Miles per Gallon Consider the data...Ch. 9.2 - Prob. 21P Ch. 9.2 - Prob. 22P Ch. 9.2 - Prob. 23P Ch. 9.2 - Prob. 24P Ch. 9.2 - Prob. 25P Ch. 9.3 - Prob. 1P Ch. 9.3 - Prob. 2P Ch. 9.3 - Prob. 3P Ch. 9.3 - Prob. 4P Ch. 9.3 - Prob. 5P Ch. 9.3 - Prob. 6P Ch. 9.3 - Prob. 7P Ch. 9.3 - In Problems 712, parts (a) and (b) relate to...Ch. 9.3 - Prob. 9P Ch. 9.3 - Prob. 10P Ch. 9.3 - In Problems 712, parts (a) and (b) relate to...Ch. 9.3 - Prob. 12P Ch. 9.3 - Prob. 13P Ch. 9.3 - Prob. 14P Ch. 9.3 - Prob. 15P Ch. 9.3 - Expand Your Knowledge: Time Series and Serial...Ch. 9.3 - Prob. 17P Ch. 9.4 - Statistical Literacy Given the linear regression...Ch. 9.4 - Prob. 2P Ch. 9.4 - For Problems 3-6, use appropriate multiple...Ch. 9.4 - For Problems 3-6, use appropriate multiple...Ch. 9.4 - Prob. 5P Ch. 9.4 - Prob. 6P Ch. 9 - Prob. 1CRP Ch. 9 - Prob. 2CRP Ch. 9 - Prob. 3CRP Ch. 9 - Prob. 4CRP Ch. 9 - Prob. 5CRP Ch. 9 - Prob. 6CRP Ch. 9 - Prob. 7CRP Ch. 9 - Prob. 8CRP Ch. 9 - Prob. 9CRP Ch. 9 - Prob. 10CRP Ch. 9 - Prob. 1DH Ch. 9 - Prob. 1LC Ch. 9 - Prob. 1UT Ch. 9 - Prob. 2UT Ch. 9 - Prob. 3UT Ch. 9 - Prob. 4UT Ch. 9 - Prob. 5UT Ch. 9 - Prob. 6UT Ch. 9 - Prob. 7UT Ch. 9 - In Problems 16, please use the following steps (i)...Ch. 9 - Prob. 2CURP Ch. 9 - Prob. 3CURP Ch. 9 - Prob. 4CURP Ch. 9 - Prob. 5CURP Ch. 9 - Prob. 6CURP Ch. 9 - Prob. 8CURP Ch. 9 - Linear Regression: Blood Glucose Let x be a random...

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