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Class ReviewApril_Twelve

# Class ReviewApril_Twelve - Class Review(Apr twelve Dummy...

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Class Review (Apr twelve) Dummy variable A Business statistics instructor wants to know how his students, some from freshman and the remaining from senior, are performing in his class. The data and the regression outputs are given below. Answer the questions that follow based on the data and the output. Seni(1)Fres(0) Score Freshman 0 65 Freshman 0 70 Freshman 0 75 Freshman 0 68 Average of freshman=69.5 Senior 1 90 Senior 1 93 Senior 1 92 Senior 1 97 Average of senior =93 On an average senor students score 23.5 marks more than the freshman. i.e (93-69.5=23.5) 1

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Regression Seni(1)Fres(0) Score Freshman 0 65 Senior 1 90 Freshman 0 70 Freshman 0 75 Senior 1 93 Senior 1 92 Senior 1 97 Freshman 0 68 SUMMARY OUTPUT Regression Statistics Multiple R 0.966048052 R Square 0.933248838 Adjusted R Square 0.922123645 Standard Error 3.628590176 Observations 8 ANOVA df SS MS F Significanc e F Regression 1 1104.5 1104.5 83.8860 8 9.5369E-05 Residual 6 79 13.1666 7 Total 7 1183.5 Coefficients Standard Error t Stat P-value Lower 95% Intercept 69.5 1.814295088 38.3068 9 2.11E-08 65.0605799 Seni(1)Fres(0)-X1 23.5 2.56580072 9.15893 4 9.54E-05 17.2217118 1. What is the meaning of the intercept term A. Intercept is the mean score of the freshmen* B. Intercept is the mean score of the seniors C. Intercept is the slope of the variable freshmen D. Intercept is the slope of the variable seniors 2
2. What is the mean score of the seniors 3. Write the regression equation.

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