// File New-Lec2-04-03-01-04.txt. Edition 7/14/2010. // Lab Specs // Window Title Could_the_Cynic_Be_Correct? // Option (0 Normal, 1 Auto, 2 Heter, 3 X-e correlation, 4 Measurement, 5 Consistency (Is this used?) 0 // Constant List 40 60 10 50 // Coefficient List -2 6 2 2 // iListVarErrors 50 500 150 500 // iListSamples 3 250 1 5 // iListSamplesAutocorrelation 3 50 1 40 // iListSamplesMeasurement 3 50 1 5 // iListXMinima 0 10 10 0 // iListXMaxima 20 30 10 30 // strListFromCoef -1.0 4.0 .5 .0 // strListToCoef - Since 9.0, the default, is above 8.0 a NaN is returned; // subsequently, the program code sets the To value at positive infinity. 1.0 8.0 .5 9.0 // strListRho -.9 .9 .3 .0 // strListHeter -2.0 2.0 1.0 .0 // strListCoefXAndError -.9 .9 .3 .0 // iListXMeasErrVar 0 100 50 0 // Problem Specs // SampleSize // PauseCheckbox (-1 checked, 0 cleared) // EstType (0 Error, 1 Constant, 2 Coefficient) // ErrorVar // ConstValue // CoefValue // xMinValue // xMaxValue // ErrTermCheckbox (0 not visible and unchecked, -1 visible and checked, 1 visible and unchecked)) // VarEstAndFromTo (-1 VarEst visible, 0 nothing visible, 1 From-To visible) ` 3 0 2 500 50 0 0 30 0 1 Objective: Show that a positive coefficient estimate would often result even though the actual coefficient value equals 0. _ Focus on the From and To lists. _ From list: By default, a From value of .0 is selected. _ To list: By default, no value has been selected from the To list. _ There is no upper From-To bound. _ Hence, the From-To Percent line will report the percent of repetitions in which the coefficient estimate is positive. ` 1. Note that the actual coefficient is specified as 0. Be certain that the Pause checkbox is cleared and click Start. After many, many repetitions, click Stop. How frequently is the coefficient estimate positive? _ 2. Does a positive coefficient estimate in one repetition guarantee that the actual coefficient is positive? Explain.