Narrow Results

The following sections are included:

• INTRODUCTION

• TESTS OF THE SIGNIFICANCE OF α AND β
  • Hypothesis Testing and Confidence Interval for β and α
  • Two-Tailed z Test Versus Two-Tailed t Test for β
  • Two-Tailed t Test for α
  • One-Tailed t Test for β
  • Confidence interval for β
  • The F Test Versus the t Test
  • Procedure for Using the F Test
  • The Relationship Between the F Test and the t Test

• TEST OF THE SIGNIFICANCE OF ρ
  • t Test for Testing ρ = 0
  • z Test for Testing ρ = 0 or ρ = Constant

• CONFIDENCE INTERVAL FOR THE MEAN RESPONSE AND PREDICTION INTERVAL FOR THE INDIVIDUAL RESPONSE
  • Point Estimates of the Mean Response and the Individual Response
  • Interval Estimates of forecasts
  • Calculating Standard Errors
  • Confidence Interval for the Mean Response and Prediction Interval for the Individual Response
  • Using MINITAB to Calculate Confidence Interval and Prediction Interval

• BUSINESS APPLICATIONS
  • The Relationship Between Layoff Rate and the Unemployment Compensation Subsidy Rate
  • Market Model Estimation and Analysis
  • Relationship Between Audited and Book Inventory Value
  • Hamburger Sales: Predicting Profits⁵
  • The Impact of Cable TV Penetration on Network Share TV Revenues

• USING COMPUTER PROGRAMS TO DO SIMPLE REGRESSION ANALYSIS

• Summary

• Apiendix 14A Impact of Measurement Error and Proxy Error on Slope Estimates

• Appendix 14B The Relationship Between the F Test and the t Test

• Appendix 14C Derivation of Variance for Alternative Forecasts

• Questions and Problems

The following sections are included:

• INTRODUCTION

• THE MODEL AND ITS ASSUMPTIONS
  • The Multiple Regression Model
  • The Regression Plane for Two Explanatory Variables
  • Assumptions for the Multiple Regression Model

• ESTIMATING MULTIPLE REGRESSION PARAMETERS
  • Annual Salary, Years of Education, and Years of Work Experience

• THE RESIDUAL STANDARD ERROR AND THE COEFFICIENT OF DETERMINATION
  • The Residual Standard Error
  • The Coefficient of Determination

• TESTS ON SETS AND INDIVIDUAL REGRESSION COEFFICIENTS
  • Test on Sets of Regression Coefficients
  • Hypothesis Tests for Individual Regression Coefficients

• CONFIDENCE INTERVAL FOR THE MEAN RESPONSE AND PREDICTION INTERVAL FOR THE INDIVIDUAL RESPONSE
  • Point Estimates of the Mean and the Individual Responses
  • Interval Estimates of Forecasts

• BUSINESS AND ECONOMIC APPLICATIONS
  • Overall Job-Worth of Performance for Certain Army Jobs
  • The Relationship Between Individual Stock Rates of Return, Payout Ratio, and Market Rates of Return
  • Analyzing the Determination of Price per Share
  • Multiple Regression Approach to Evaluating Real Estate Property
  • Multiple Regression Approach to Doing Cost Analysis

• USING COMPUTER PROGRAMS TO DO MULTIPLE REGRESSION ANALYSES
  • SAS Program for Multiple Regression Analysis
  • MINITAB Program for Multiple Regression Prediction
  • Stepwise Regression Analysis

• Summary

• Appendix 15A Derivation of the Sampling Variance of the Least-Squares Slope Estimations

• Appendix 15B Derivation of Equation 15.30

• Questions and Problems