Simple Linear Regression and Correlation: Analyses and Applications
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
