State whether the following statements are true or false and briefly justify your answer. a. A...
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State whether the following statements are true or false and briefly justify your answer. a. A 99% confidence interval for the slope 3₁ based on our data is calculated to be [-5,-2). Therefore, B₁ must be negative. b. Under the same confidence level, the prediction interval of a new observation is always wider than the confidence interval for the corresponding mean response. c. If we assume that Y, is normally distributed, then Y, must also be normally distributed. d. Suppose we have knowledge of the true population parameters Bo, B₁, Bp. Given this information, we could estimate E(Y) perfectly. In other words, we can obtain the true E(Y). e. Suppose we have knowledge of the true population parameters Bo... Bp. Given this information, we could predict Y perfectly. f. Your classmate wants to test whether the regression coefficient related to X₁ is equal to zero or not at a = 0.05. They set up the null and alternative as follows: Ho: B₁=0 versus H₁: B₁ 0. 2 g. The constant variance assumption requires that Ý, has constant variance. State whether the following statements are true or false and briefly justify your answer. a. A 99% confidence interval for the slope 3₁ based on our data is calculated to be [-5,-2). Therefore, B₁ must be negative. b. Under the same confidence level, the prediction interval of a new observation is always wider than the confidence interval for the corresponding mean response. c. If we assume that Y, is normally distributed, then Y, must also be normally distributed. d. Suppose we have knowledge of the true population parameters Bo, B₁, Bp. Given this information, we could estimate E(Y) perfectly. In other words, we can obtain the true E(Y). e. Suppose we have knowledge of the true population parameters Bo... Bp. Given this information, we could predict Y perfectly. f. Your classmate wants to test whether the regression coefficient related to X₁ is equal to zero or not at a = 0.05. They set up the null and alternative as follows: Ho: B₁=0 versus H₁: B₁ 0. 2 g. The constant variance assumption requires that Ý, has constant variance.
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a False it is because the 99 confidence interval means that true value of beta will lie between5 and ... View the full answer
Related Book For
Statistics for the Life Sciences
ISBN: 978-0321989581
5th edition
Authors: Myra Samuels, Jeffrey Witmer, Andrew Schaffner
Posted Date:
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