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Unformatted text preview: Statistics 512: Review Problems for Second Midterm Exam Keep for Second Exam Review (November 24) 1. Two different laboratory procedures were used to find the amount of calcium in a collection of orange juice samples. The correlation between the two measures was 0.99. Does this imply that the value given by the first procedure was approximately the same as the value given by the second procedure for each of the samples analyzed? Explain why or why not. 2. The 90% confidence interval for a regression coefficient is (2 . 1 , 8 . 6). What can you say, if anything, about the p-value of the hypothesis test that this coefficient is zero? 3. Assume a one-way ANOVA with the same number of observations for each treatment. Suppose the degrees of freedom for treatments is 4, and the degrees of freedom for error is 20. Find (i) the number of treatments, and (ii) the number of observations for each treatment. 4. When running a quadratic regression, you “center” the explanatory variable by subtracting its mean ¯ X = 1. The estimated coefficients for the model in this form are b = 2, b 1 = 3, b 2 = 4, and...
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