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About Vivian
Expertise
I can answer questions on probability, distributions, statistical inference, statistical estimation, hypothesis testing, analysis of categorical data, linear regression, generalized linear regression, ANOVA, and linear mixed models. I cannot answer questions on stochastic processes.

Experience
I have worked as a research assistant at the University of Michigan, Ann Arbor for two years.

Organizations
American Statistical Association

Education/Credentials
University of Michigan, Ann Arbor Master of Science

 
   

You are here:  Experts > Science > Mathematics > Probability & Statistics > Linear Regression

Probability & Statistics - Linear Regression


Expert: Vivian - 10/10/2008

Question
Hi, I have a problem on my homework that says

a) For X=40 show by calculation that the parallel lines are indeed two standard deviations above and below the regression line by using the appropriate statisics

what would be appropriate statistics for this question?

I know the standard deviations of x and y, the means of x and y, residual sum squares, regression sum squares, r, r squared, df, mean square, F, intercept, slope, std error of slop, standardized slope, and t

please tell me you can help

Answer
You may use the standard error of parameters (intercept and slopes) of the regression line to get two lines that are two standard deviations above and below the regression line.  Then you may judge whether the parallel lines are indeed the two lines you just get.

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