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5.1 Consider the multiple regression model y₁=xB₁+x₂ + xpB₂ +€₁ with the seven observations on y, XX. and x, given in Table 5.5. TABLE 5.5 Y₁ 4 1 -2 2 Data for Exercise 5.1 1 f. Find the sample correlation between g. Find the standar d. Find the least squares residuals ê, ê...... e. Find the variance estimate 6². X12 0 2 -2 1 -2 0 1 -2 2 * * -1 Use a hand calculator or spreadsheet to answer the following questions: a. Calculate the observations in terms of deviations from their means. That is, find x = -₂ XX-X. and y=y₁-3. b. Calculate Ex. Ex Ex. Ex and Ex c. Use the expressions in Appendix 5A to find least squares estimates b₁, by, and by. AC R

5.1 Consider the multiple regression model y₁=xB₁+x₂ + xpB₂ +€₁ with the seven observations on y, XX. and x, given in Table 5.5. TABLE 5.5 Y₁ 4 1 -2 2 Data for Exercise 5.1 1 f. Find the sample correlation between g. Find the standar d. Find the least squares residuals ê, ê...... e. Find the variance estimate 6². X12 0 2 -2 1 -2 0 1 -2 2 * * -1 Use a hand calculator or spreadsheet to answer the following questions: a. Calculate the observations in terms of deviations from their means. That is, find x = -₂ XX-X. and y=y₁-3. b. Calculate Ex. Ex Ex. Ex and Ex c. Use the expressions in Appendix 5A to find least squares estimates b₁, by, and by. AC R

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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Please answer 5.1 d-f, thank you!
10:12 This is a problem better handled by your tric software. Taking this advice, we find and se(EXPER)= 1.7896. Then, a 95% 5.8 Exercises 5.8.1 Problems 5.1 Consider the multiple regression model TABLE 5.5 y₁ 1 1 4 0 1 -2 2 y₁ = x₁B₁+x₁2B₂+xBB₂ + €₁ with the seven observations on y₁, XX2, and x3 given in Table 5.5. (1) We estimate that the number of years of exper maximizes wages lies between 26.7 and 33.7 years. X11 1 1 5.2 Use your answers to Exercise 5.1 to =(26.7, 33.7) Data for Exercise 5.1 1 1 1 1.962 x 1.7896, 30.17+1.962x1 1 d. Find the least squares residuals ê, ê, ... e. Find the variance estimate 6². elds X₁2 12 2 1 -2 -1 1 f. Find the sample correlation between x₂ and x3. g. Find the standard error for b₂. h. Find SSE, SST, SSR, and R². De -2 1 -2 0 X13 01 1-2 x=x-X, and y = y₁-y. b. Calculate Eyxa. Σχ. Σε Σχή, and Σχ c. Use the expressions in Appendix 5A to find least squares estimates b₁,b₂, and by. WALC the house Use a hand calculator or spreadsheet to answer the following questions: a. Calculate the observations in terms of deviations from their means. That is, find x=x2-2¹ a. Compute a 95% interval estimate for B₂ b. Test the hypothesis Ho:B₂= 1.25 against the alternative that H₁ :B₂1.25. This mo is prov TABLE Depends Include Variab C In(TO NK AGE R-sq S.E. Sun
Transcribed Image Text:10:12 This is a problem better handled by your tric software. Taking this advice, we find and se(EXPER)= 1.7896. Then, a 95% 5.8 Exercises 5.8.1 Problems 5.1 Consider the multiple regression model TABLE 5.5 y₁ 1 1 4 0 1 -2 2 y₁ = x₁B₁+x₁2B₂+xBB₂ + €₁ with the seven observations on y₁, XX2, and x3 given in Table 5.5. (1) We estimate that the number of years of exper maximizes wages lies between 26.7 and 33.7 years. X11 1 1 5.2 Use your answers to Exercise 5.1 to =(26.7, 33.7) Data for Exercise 5.1 1 1 1 1.962 x 1.7896, 30.17+1.962x1 1 d. Find the least squares residuals ê, ê, ... e. Find the variance estimate 6². elds X₁2 12 2 1 -2 -1 1 f. Find the sample correlation between x₂ and x3. g. Find the standard error for b₂. h. Find SSE, SST, SSR, and R². De -2 1 -2 0 X13 01 1-2 x=x-X, and y = y₁-y. b. Calculate Eyxa. Σχ. Σε Σχή, and Σχ c. Use the expressions in Appendix 5A to find least squares estimates b₁,b₂, and by. WALC the house Use a hand calculator or spreadsheet to answer the following questions: a. Calculate the observations in terms of deviations from their means. That is, find x=x2-2¹ a. Compute a 95% interval estimate for B₂ b. Test the hypothesis Ho:B₂= 1.25 against the alternative that H₁ :B₂1.25. This mo is prov TABLE Depends Include Variab C In(TO NK AGE R-sq S.E. Sun
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