Model SummaryChange StatisticsAdjusted RStd. Error of theModelRR SquareSquareEstimateR Square Change F Changedf1df2Sig. F Change1.268.072.0675.49167.07213.333172.000.443196.1875.12637.12426.387171.000a. Predictors: (Constant), nonceunshrb. Predictors: (Constant), noncounshr. LF_MAnswer the following:1) Why is the df2 for model 2 171? (Show the df formula and how you end up with df2 equals 171)2) How much variance is accounted for by LF_M?3)Of model 1 and model 2, which is the full model and which is the reduced model?4) Is there a significant difference between the full and the reduced models? How do you know?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. An archaeological study provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Сoef SE Coef T P Constant -0.209 2.429 -0.09 0.929 Diameter 0.7689 0.1471 5.66 0.002 S 4.07980 R-Sq 88.9% %3D For the least-squares line ŷ = a + bx, what is the value of the constant a? What is the value of the slope b? (ote: The slope is the coefficient of the predictor variable.) Write the equation of the least-squares line. a = b = + The P-value for a two-tailed test corresponding to each coefficient is listed under P. The t value corresponding to the coefficient is listed under T. What is the P-value of the slope? Recall that the t value and resulting P-value of the slope b equal thet value…
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SUMMARY OUTPUT Regression Statistics R-Square 0.558 Regression Standard Error (S) 863.100 Observations 35 Coeff StdError t-Stat Intercept 1283.000 352.000 3.650 X1 25.228 8.631 2.923 X2 0.861 0.372 2.315 Questions: Write the fitted regression equation (Three decimals for the estimated coefficients). Write the estimated intercept and slopes, associated with their corresponding standard errors (Three decimals for the estimated coefficients. Interpret and analyze the estimated results of each coefficient.
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