1st Edition

ISBN: 9781938168208

Author: Barbara Illowsky, Susan Dean

Publisher: OpenStax College

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 12, Problem 37P

Perform linear regression. What is the linear equation? Round to the nearest whole number.

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Chapter 12, Problem 36P

Chapter 12, Problem 38P

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The table gives the amount of money (in dollars) spent on football by a major university. Letting x represent the number of years since 2006, and letting y represent the amount of money spent on football, in thousands of dollars, use the regression capabilities of a graphing calculator to find the equation of the line of best fit. Round values off to the nearest hundredth. Then, use your equation to make the following predictions. Year 2006 Dollars spent on football 173,000 The equation of the line of best fit is: Hint 2009 2010 2011 2007 2008 19 000 210,000 223,000 243,000 271,000 Predict the amount of money that will be spent on football in the year 2022. Predict the amount of money that will be spent on football in the year 2041.

The table gives the amount of money (in dollars) spent on football by a major university. Letting a represent the number of years since 2005, and letting y represent the amount of money spent on football, in thousands of dollars, use the regression capabilities of a graphing calculator to find the equation of the line of best fit. Round values off to the nearest hundredth. Then, use your equation to make the following predictions. Year 2005 2006 2007 2008 2009 2010 Dollars spent on football 165,000 196,000 210,000 226,000 242,000 279,000 The equation of the line of best fit is: Hint Predict the amount of money that will be spent on football in the year 2024. +A Predict the amount of money that will be spent on football in the year 2041.

Refer to the data set:(2, -16), (-1, 3), (3, -24), (½, -7), (0, -4)Part a: Make a scatter plot and determine which type of model best fits the data.Part b: Find the regression equation.Part c: Use the equation from Part b to determine y when x = -10.

Chapter 12 Solutions

Introductory Statistics

Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Is the following an example of a linear equation?...Ch. 12 - Emma’s Extreme Sports hires hang-gliding...Ch. 12 - Ethan repairs household appliances like...Ch. 12 - Amelia plays basketball for her high school. She...Ch. 12 - SCUBA divers have maximum dive times they cannot...Ch. 12 - For a given line of best fit, you computed that r...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...Ch. 12 - For a given line of best fit, you compute that r =...

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