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practice_final

# practice_final - In an experiment with n=13 observations...

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In an experiment, with n=13 observations, the estimated regression line is y=0.365+ 0.967x. I am giving you the following MSE=0.0373 and MSR=1.0427. a) Calculate SSE. b) Calculate the estimated variance of the regression c) Calculate the Coefficient of determination d) Calculate the correlation between x and y. To solve this exercise you need to know how the ANOVA Table of regression looks like: a) MSE=SSE / n-2 which means SSE=MSE*(n-2)=0.4103 b) Estimated variance for regression is equal to MSE=0.0373 c) Coefficient of determination = 1- SSE/SSTo SSTo = SSR + SSE = 1.0427+ 0.4103= 1.453 (Remember in ANOVA Table SSR= MSR) So 2 0.4103 1 1 0.7176 1.453 SSE r SSTo = = = d) 2 0.8471 r r = = In an experiment, with n=11 observations, the estimated regression line is y=1.65+ 0.9555x. I am giving you that 1 0.1971 b s = . Find a 95% confidence interval for the slope. ( ) 0.9555 2.262*0.1971 0.9555 0.4458 .5097,1.4013 ± ±

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In a sample of 100 Professors in a university we have 70 males and 30 females. Out of 70 males 20 are Professors 25 are Associate Professors and the rest are Assistant Professors.
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