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Consider the Following Data β\beta 1 = 0 Versus H1 β\beta 1 \neq

Question 22

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Consider the following data.
 Consider the following data.        A) Calculate the least squares estimate .     B) Calculate the least squares estimate .     C) Estimate the error variance .     D) Test H<sub>0</sub>:  \beta <sub>1</sub> = 0 versus H<sub>1</sub>:  \beta <sub>1</sub>  \neq  0 with  \alpha  = 0.05. Answer  H<sub>0</sub> is rejected at  \alpha  = 0.05  or  H<sub>0</sub> is not rejected at  \alpha  = 0.05 . E) Estimate the expected y value corresponding to x = 3. F) Give a 90% confidence interval for the expected y value at x = 3. Round your answer to two decimal places.  Consider the following data.        A) Calculate the least squares estimate .     B) Calculate the least squares estimate .     C) Estimate the error variance .     D) Test H<sub>0</sub>:  \beta <sub>1</sub> = 0 versus H<sub>1</sub>:  \beta <sub>1</sub>  \neq  0 with  \alpha  = 0.05. Answer  H<sub>0</sub> is rejected at  \alpha  = 0.05  or  H<sub>0</sub> is not rejected at  \alpha  = 0.05 . E) Estimate the expected y value corresponding to x = 3. F) Give a 90% confidence interval for the expected y value at x = 3. Round your answer to two decimal places.
A) Calculate the least squares estimate .
 Consider the following data.        A) Calculate the least squares estimate .     B) Calculate the least squares estimate .     C) Estimate the error variance .     D) Test H<sub>0</sub>:  \beta <sub>1</sub> = 0 versus H<sub>1</sub>:  \beta <sub>1</sub>  \neq  0 with  \alpha  = 0.05. Answer  H<sub>0</sub> is rejected at  \alpha  = 0.05  or  H<sub>0</sub> is not rejected at  \alpha  = 0.05 . E) Estimate the expected y value corresponding to x = 3. F) Give a 90% confidence interval for the expected y value at x = 3. Round your answer to two decimal places.
B) Calculate the least squares estimate .
 Consider the following data.        A) Calculate the least squares estimate .     B) Calculate the least squares estimate .     C) Estimate the error variance .     D) Test H<sub>0</sub>:  \beta <sub>1</sub> = 0 versus H<sub>1</sub>:  \beta <sub>1</sub>  \neq  0 with  \alpha  = 0.05. Answer  H<sub>0</sub> is rejected at  \alpha  = 0.05  or  H<sub>0</sub> is not rejected at  \alpha  = 0.05 . E) Estimate the expected y value corresponding to x = 3. F) Give a 90% confidence interval for the expected y value at x = 3. Round your answer to two decimal places.
C) Estimate the error variance .
 Consider the following data.        A) Calculate the least squares estimate .     B) Calculate the least squares estimate .     C) Estimate the error variance .     D) Test H<sub>0</sub>:  \beta <sub>1</sub> = 0 versus H<sub>1</sub>:  \beta <sub>1</sub>  \neq  0 with  \alpha  = 0.05. Answer  H<sub>0</sub> is rejected at  \alpha  = 0.05  or  H<sub>0</sub> is not rejected at  \alpha  = 0.05 . E) Estimate the expected y value corresponding to x = 3. F) Give a 90% confidence interval for the expected y value at x = 3. Round your answer to two decimal places.
D) Test H0: β\beta 1 = 0 versus H1: β\beta 1 \neq 0 with α\alpha = 0.05. Answer "H0 is rejected at α\alpha = 0.05" or "H0 is not rejected at α\alpha = 0.05".
E) Estimate the expected y value corresponding to x = 3.
F) Give a 90% confidence interval for the expected y value at x = 3. Round your answer to two decimal places.

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Part A: 2.5
Part B: 3.5
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