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File: Linear Regression Ppt 69826 | Slide Bmg106 Bmg106 Slide 11
statistics for business and economics 13e chapter 14 part a simple linear regression simple linear regression model least squares method coefficient of determination model assumptions testing for significance 2017 cengage ...

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                                                                                                                                                                                     Statistics for Business and Economics (13e)
                         Chapter 14, Part A: Simple Linear Regression
                         •        Simple Linear Regression Model
                         •        Least Squares Method
                         •        Coefficient of Determination
                         •        Model Assumptions
                         •        Testing for Significance
                       © 2017 Cengage Learning.  May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part, except for use as permitted in a license distributed with a certain product or service or                                2
                       otherwise on a password-protected website or school-approved learning management system for classroom use..
                                                                                                                                                                                     Statistics for Business and Economics (13e)
                         Simple Linear Regression
                         •        Managerial decisions often are based on the relationship between two or 
                                  more variables.
                         •        Regression analysis can be used to develop an equation showing how the 
                                  variables are related.
                         •        The variable being predicted is called the dependent variable and is denoted 
                                  by y.
                         •        The variables being used to predict the value of the dependent variable are 
                                  called the independent variables and are denoted by x.
                       © 2017 Cengage Learning.  May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part, except for use as permitted in a license distributed with a certain product or service or                                3
                       otherwise on a password-protected website or school-approved learning management system for classroom use..
                                                                                                                                                                                     Statistics for Business and Economics (13e)
                         Simple Linear Regression
                         •          Simple linear regression involves one independent variable and one 
                                    dependent variable.
                         •          The relationship between the two variables is approximated by a 
                                    straight line.
                         •           Regression analysis involving two or more independent variables is 
                                     called multiple regression.
                       © 2017 Cengage Learning.  May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part, except for use as permitted in a license distributed with a certain product or service or                                4
                       otherwise on a password-protected website or school-approved learning management system for classroom use..
                                                                                                                                                                                     Statistics for Business and Economics (13e)
                         Simple Linear Regression Model
                         •        The equation that describes how y is related to x and an error term is called 
                                  the regression model.
                            •        The simple linear regression model is:
                                                                                                                               y = b  + b x + e
                                                                                                                                               0             1
                                                                     where:
                                                                                    b  and b  are called parameters of the model. 
                                                                                            0                     1
                                                                                    e  is a random variable called the error term.
                       © 2017 Cengage Learning.  May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part, except for use as permitted in a license distributed with a certain product or service or                                5
                       otherwise on a password-protected website or school-approved learning management system for classroom use..
                                                                                                                                                                                     Statistics for Business and Economics (13e)
                         Simple Linear Regression Equation
                         •        The simple linear regression equation is:
                                                                                                                                 E(y) = 0 + 1x
                                       •        Graph of the regression equation is a straight line.
                                       •       b is the y intercept of the regression line.
                                                    0
                                       •       b is the slope of the regression line.
                                                    1
                                       •       E(y) is the expected value of y for a given x value.
                       © 2017 Cengage Learning.  May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part, except for use as permitted in a license distributed with a certain product or service or                                6
                       otherwise on a password-protected website or school-approved learning management system for classroom use..
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...Statistics for business and economics e chapter part a simple linear regression model least squares method coefficient of determination assumptions testing significance cengage learning may not be scanned copied or duplicated posted to publicly accessible website in whole except use as permitted license distributed with certain product service otherwise on password protected school approved management system classroom managerial decisions often are based the relationship between two more variables analysis can used develop an equation showing how related variable being predicted is called dependent denoted by y predict value independent x involves one approximated straight line involving multiple that describes error term b where parameters random graph intercept slope expected given...

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