SUMMARY OUTPUT Regression Statistics 0.8753 Multiple R R Square Adjusted R Square Standard Error 0.7661 0.7271 0.9619 8 Observations ANOVA TABLE FOR REFRESSION SS 18.187 Significance F 0.0044 df MS 18.187 0.925 Regression 1 19.655 Residual 6 5.552 Total 7 23.739 Coefficients Standard Error 65.3843 t Stat 69.6653 P-value 0.9385 Intercept Years of employment 0.2698 0.0609 4.4334 0.0044 a) What is the estimated regression line? b) What is the estimated income for a dentist with 20 years of experience? c) How would you interpret the slope coefficient B1? d) How would you interpret the coefficient of determination? e) Test Ho : B1 = 0 vs. H1 : B1 ± 0 using the t-test.

SUMMARY OUTPUT Regression Statistics 0.8753 Multiple R R Square Adjusted R Square Standard Error 0.7661 0.7271 0.9619 8 Observations ANOVA TABLE FOR REFRESSION SS 18.187 Significance F 0.0044 df MS 18.187 0.925 Regression 1 19.655 Residual 6 5.552 Total 7 23.739 Coefficients Standard Error 65.3843 t Stat 69.6653 P-value 0.9385 Intercept Years of employment 0.2698 0.0609 4.4334 0.0044 a) What is the estimated regression line? b) What is the estimated income for a dentist with 20 years of experience? c) How would you interpret the slope coefficient B1? d) How would you interpret the coefficient of determination? e) Test Ho : B1 = 0 vs. H1 : B1 ± 0 using the t-test.

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Description: SUMMARY OUTPUTRegression Statistics0.8753Multiple RR SquareAdjusted R SquareStandard Error0.76610.72710.9619Observations8ANOVA TABLE FOR REFRESSIONdfMS18.187Significance F0.0044FRegressionResidual118.18719.6555.5520.925Total723.739Coefficients Stand

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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Perform a repeated measures ANOVA on the data in the table and construct an ANOVA summary table. Does the ANOVA suggest that systematic differences exist across trials? Calculate the intraclass correlation coefficient for models 2,1 and 3,1. Calculate the standard error of measurement. Assume a person has an observed score of 40. Construct a 95% CI about this subject’s observed score to estimate the interval in which we think that person’s true score lies. Calculate the minimal difference using a 95% CI. Day 1 Day 2 Day 3 35.6 36.8 37.5 40.3 39.5 41.5 37.5 36.5 35.5 45.8 42.5 48.6 41.3 38.6 37.2 34.8 31.9 32.5 41.3 46.5 45.6 32.1 34.7 36.5 29.8 31.2 33.8 48.6 45.6 43.5 42.6 41.8 43.4 37.8 35.1 39.5
10. What is the answer in (5) in the ANOVA Table?
Source df SS MS Group 4 42.272 10.568 4.3627 Error 20 48.446 2.4223 Total 24 90.718 a. At 0.05 significance, what is the value of the test statistic F? (use 5 decimal places) www b. Should Ho be rejected according to the ANOVA table? (YES or NO)
The results of the regression analysis to estimate setup costs using the number of setup hours are as follows: SUMMARY OUTPUT Regression Statistics Multiple R 0.965127 R Square 0.931469 Adjusted R Square 0.921679 Standard Error 285.6803 Observations 9 ANOVA df SS MS F Regression 1 7765004 7765004 95.14395 Residual 7 571292.5 81613.21 Total 8 8336296 Coefficients Std Error t Stat P-value Intercept 2498.644 680.6304 3.671073 0.007953 X Variable 1 2.506915 0.257009 9.754176 2.52E–05 What percentage change (rounded to one decimal place) in setup costs can be explained by changes in setup hours? a.95.1% b.96.5% c.25.7% d.none of these e.93.1%
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An experiment was carried out to compare the sound distortion produced by 4 different types of coating on magnetic tape. The ANOVA table for this data is given below, where X indicates a missing value. Source Degrees of Freedom Sum of Squares Mean Squares IF Treatment X 14.49 X Error X X X Total 49 165.69 Compute the F statistic. Give your answer to 2 decimal places.
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The ANOVA table of the above data is as follows: ANOVA Source of Variation SS df MS 2.083 P-value Factor A J 1 0.725 Marketing startegies 0.750 1 0.750 0.832 Interaction 90.750 K 90.750 0.043 Within 125.333 15.667 Total 218.917 10. Calculate J and L 11. State HO and H1 hypotheses of interaction effect based on the above problem. 12. At a = 0.1, is there any significant effect? What is your decision? Support your answer. 13. What is your conclusion?
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