2. The following random samples of 10 observations were taken from the same popu

Question

2. The following random samples of 10 observations were taken from the same population. You estimate the slope and intercept of the following model twice once using each sample Which sample do you think would yield a smaller se(B1)? (In other words, for which sample would you be most sure about your estimated slope?). Explain briefly (Sample 1) (Sample 2) HINT: While not necessary, it may help to think if you can say anything definitive about any of the ingredients in the numerator & denominator of the formula for the standard error: SSR se(A)- , where n-2 SSTx

Explanation / Answer

For the standard error to be lower, the distances between predicted and actual values of predictor variable y should be small. This can be seen in Case1 compared to case 2 so case 1 is the right answer

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