// File New-Lec2-04-01-01-04.txt. Edition 7/14/2010. // Lab Specs // Window Title Interval_Estimates // 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 1.5 // strListToCoef 1.0 6.0 .5 2.5 // 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 50 50 2 0 30 0 0 Objective: Exploit the relative frequency interpretation of probability to calculate interval estimates. _ 1. In the simulation, when the sample size is 3 and the range of the x's is from 0 to 30, the values of the x's are 5, 15, and 25. What is the sum of squared x deviations from their mean? _ 2. Note that the default variance for the error term's probability distribution is 50. Using the appropriate equation, calculate the variance of the coefficient estimate's probability distribution. ` 3 0 2 50 50 2 0 30 0 1 Two new list have now appear: a From list and To list. By default, 1.5 is selected in the From list and 2.5 in the To list. The Percent From-to box will report the percent of repetitions that lie between 1.5 and 2.5. _ 3a. Be certain that the Pause checkbox is cleared and click Start. After many, many repetitions, click Stop. What percent of the repetitions lie within the interval 1.5 to 2.5? ` 3b. Select 1.0 from the From list and 3.0 from the To list. After many, many repetitions, click Stop. What percent of the repetitions lie within the interval 1.0 to 3.0? _ 3c. Select .5 from the From list and 3.5 from the To list. After many, many repetitions, click Stop. What percent of the repetitions lie within the interval .5 to 3.5? ` 4. Are the results consistent with the normal distributions rules of thumb? Explain.